{"text":"Question: What is the hundred thousands digit of 303769130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -4. Let u be 1\/(-2) - 2\/h. Let y be 2\/(5 - u)*3. Let w(l) = 2*l - 1. Calculate w(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1182, 4739, 10670, 18981, 29678, 42767, 58254, 76145?\n\"Answer: p**3 + 1181*p**2 + 7*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/194688702 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -504*t**2 + 1 - 1 + 8*t**2.\nAnswer: -496*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 61*l**2 - 21*l - 48. What are the prime factors of x(-2)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 5*r**2 + 4 + 44*r**3 - 45*r**3 - 4*r - 6*r**2 - 6*r**2 + 0*r**2. Calculate c(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -20 + (-55 - (-52 - -19))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 3*t + 15, -m + 2*t + 14 = 3*m. Suppose -5*b + 3*i = -b - 30, 0 = -i + m. Suppose -b*z = -5*z - 124. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 5*s = 50, -2*d + 2*s + 0*s = 16. Let v be (-48)\/20*(-5)\/2. Let g be 6\/36 + (-55)\/v. Is d > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1100 is divided by 228?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -396, -1575, -4748, -10911, -21060, -36191, -57300?\n\"Answer: -166*n**3 - n**2 - 14*n - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -2 + 0 + sqrt(17).\nAnswer: -6 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1031303 + 3?\nAnswer: -1031300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ooooooaoccooooaoock.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*g + 1418 - 274 + 2167 = 0 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11716464 is divided by 122.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 135*c**2 + c - 1. Let v be d(1). Suppose 18*k + v = 23*k. Let f = -15 + k. Calculate the highest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 22  (b) 4  (c) 3  (d) 9\/14  (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -5*v**2 + 3*v. Let h(z) = -6*z. Determine u(h(s)).\nAnswer: -180*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 8*w + 4*q - 13, -15 = 5*q. Let d be (3 + -3)\/(w + 3). Solve 5*m + 0*b + 5*b + 5 = 0, d = -2*m + 2*b - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-5 + 6)*-2)\/(-1). Let s(j) = -4 + 5 + 2*j + 10*j**2 - 5*j**2. Is 25 a factor of s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 + -3 - 87\/1. Let f be 326\/(-22) + 16\/o. What are the prime factors of 3\/(-9) - 1805\/f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -1447593?\nAnswer: 2895186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 + 0.6. Let u = h - 1. Let s(z) = 2*z + 5. Let v be s(-4). Which is the nearest to -0.1?  (a) u  (b) 4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**3\/3 - 20*d**2\/3 + 26*d\/3 + 16 = 0.\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53 + -95. Let h be ((-4)\/l)\/(5\/30). What is the biggest value in -0.5, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/(-5))\/(2 - 9\/5). What are the prime factors of ((-4)\/4 - a) + 244?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9074577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 5, 4, 211 in descending order.\nAnswer: 211, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3*y = -2955 + 84786, 2*y + 81836 = 3*m. Suppose 9*r = m + 43525. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 374642020 a multiple of 694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 + -492 + (-10)\/((-9)\/(-2) - (-8 - -11))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41645*w - 353*w**3 + 20825*w + 20820*w - 119*w**3.\nAnswer: -472*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*d**2*f**2*k + 803*d**2*f*k**3 + d**2*f*k - d*k**4 - 4*d*k**2 - 2*f**3*k**3 + 24*f**3*k wrt k.\nAnswer: 4818*d**2*f - 24*d*k - 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8975795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 2 - 2)*(l**2 - 3*l**2 + 3*l**2) + (-4 - 2 + 22)*(-1 - 2 + 2)*(-2 - 2*l**2 + 2) in the form d + k*l + s*l**2 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -85, -81 in ascending order.\nAnswer: -85, -81, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2098298*k**4 - 2*k - 11794599 wrt k?\nAnswer: -25179576*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is -1050.57 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 683068879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*a - 1223 = -1210. Let f be ((-6)\/7)\/a - 80\/126. Factor -1\/9*o**4 - f*o**3 - 4 + 11\/9*o**2 + 4\/3*o.\nAnswer: -(o - 2)**2*(o + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 5*d**2 + 4*d + 16. What is the hundreds digit of p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 12*b + 61. Determine x(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -197 + 368. Suppose -919 = -5*u + l, -2*l = -u - 5*l + i. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = 3, -d + 3*h + 8 = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.9 in -0.4, -0.5, 0.03, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or 465481?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13492139*x**4 - 1112*x**2 - 1232*x + 3 wrt x.\nAnswer: -323811336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 12*t**2 - 252*t + 464. Let a(y) = -26*y**2 + 509*y - 932. Let v(k) = -4*a(k) - 9*d(k). What is m in v(m) = 0?\nAnswer: 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38*v + 23*v - 4*v)*(3*v**2 - v**2 - 4*v**2)*(3*v**2 + 2*v**2 + v**2 + (1 - 1 + v**2)*(4 - 1 - 2) - 305*v - 34*v**2 + 305*v).\nAnswer: 3078*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -h**4\/24 + 130*h**2 + 1. Let q(m) = 2079*m. What is q(b(p))?\nAnswer: -2079*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2866*0.1.\nAnswer: -286.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76419?\nAnswer: 3, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 x when three letters picked without replacement from xmmx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -6*f**2 - 3*f**3 + 0*f + 4*f**3 + 8 - 4*f - 7*f. Is d(8) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 421 divide 320230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from dbddbbqbdqbqddbbbdb.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 17 + 22 = 0. Let x = a + 14. Solve 4*d = -x + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -60.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 7*o**3 + 113*o**2 + 16*o + 34. Calculate x(-16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - l - 3. Let m be v(0). Let s(u) = u**2 - u - 3. Let c(y) = -y**2 + 4. Let d(z) = m*c(z) - 2*s(z). What is the units digit of d(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 455490 and 8075970.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 49662 and 178?\nAnswer: 49662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29 - (-15 - 8 - -67).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o. Let a(k) = 7*k - 1. Let q(j) = -7*j. Let i(z) = -3*a(z) - 2*q(z). Calculate i(g(b)).\nAnswer: -7*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1524692 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 5*s**2 - 6*s + 2. Let q be n(6). Let u be 2*-305001 + 0 + q. Round u to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*r - 29*r - 15. Suppose -5*g + r = -5*v, -4*v + 2*g = -0*g - 6. What is the third derivative of -v*i**6 - 4*i**6 - 4*i**2 + 0*i**6 - 3*i**2 wrt i?\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7.9 - 7.4. Which is the closest to 1\/6?  (a) -4  (b) q  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/2122599 and 55\/16312.\nAnswer: 16980792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 30 in 985, -5, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/2, 121\/103, 7, -11, 2, -4 in increasing order.\nAnswer: -11, -4, 121\/103, 2, 5\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-10)*13\/52*-100.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppup. Give prob of picking 2 p and 1 u.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 6:01 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -536*i - 647520 = 10824*i for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 3824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79193 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101110010 (base 2) in base 9?\nAnswer: -1818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence khk when three letters picked without replacement from {h: 2, u: 1, t: 1, k: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, n: 9}. What is prob of picking 1 r and 2 n?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06492519109 rounded to 3 decimal places?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 4 = -44. Suppose 4*k - 5*p = 12 + 41, 0 = 2*p + v. Let -5*o**3 - 170*o**4 + 3*o + k*o**2 - o + 166*o**4 = 0. Calculate o.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -291 = -5*w - 3*y, 5*y + 0 + 15 = 0. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -1374\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00198947217 rounded to five dps?\nAnswer: -0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 3:37 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 192 and 446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9, -1, 210?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 3, -11, -44, -3, 16 in descending order.\nAnswer: 16, 12, 3, -3, -11, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -2, -21, -0.73?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -194.22 - -190.59. What is the nearest to -1 in -5\/4, n, -1\/5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24808 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - 23. Let v = a - -9. Suppose 10*i = v*i - 127. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 - -33.6. Let l = 6 + -9. Let y = l + h. What is the third biggest value in -0.5, y, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-6 + (0 - -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -304 (base 5) to base 7.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 10, -8*n + 3*n + 4*o + 127 = 0. Let g = 220 + n. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-4 - (3 - (2 - -3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 123*(2 - 28\/12). Suppose 72 = -0*a + 2*a. Let q = a - z. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -6977 and -6978 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -5*g**2 - 3*g - 2. Let p be j(-3). Suppose 70*k + 102 = -h + 74*k, 5*k = 2*h + 192. Let a = p - h. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 o when three letters picked without replacement from zzaokaozazzok?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -3*g**4\/8 + 2259*g**3\/8 - 52725*g**2\/4 = 0.\nAnswer: 0, 50, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 73, -4, -0.08, -57 in increasing order.\nAnswer: -57, -4, -0.08, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4360262 to three dps.\nAnswer: 0.436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 + 87. Suppose -4*j - j = -n. What is the greatest common divisor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qtee. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 199634*c**3 - 65*c**2 + 2*c + 193.\nAnswer: 1197804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*i + 5*i = 0. Suppose -4*r = -4*v - 48, -3*v + v + 3*r - 24 = i. Let f be -3 + 4 + 58\/v. Which is smaller: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.17184 + -0.92816. Put k, -3, -1, 2 in descending order.\nAnswer: 2, -1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 3 + 0)*(0*s**2 + s**2 - 2*s**2 + 0 + 0 - s**2 + (s + s + 0*s)*(-2 + 2 - 2*s)) to k*s**2 + q + o*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 4*o**2 + 3. Let q be x(-3). Let a(i) = -1 - i - 2*i - 2*i + 8*i**2. Is a(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000060709 to 6 dps.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(272) + -1*sqrt(272) + -4 + (sqrt(272) - (5 + sqrt(272)*1)) - (sqrt(272)*1*-4 + sqrt(272) + 1 + 5 + sqrt(272))).\nAnswer: -17 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24*l**3 - 25*l**3 + 10*l + 61*l**3 wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**3\/7 - 365480*v**2\/7 - 2925184*v - 40958848.\nAnswer: 4*(v - 91426)*(v + 28)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 1:44 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u + u + 0*u)*(-2 + 2 - 2*u)*(-11 + 2 - 14) in the form r*u + t + p*u**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -14*k**3 - 46442*k**2 - 13268*k = 0.\nAnswer: -3317, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 178.3 + -178.6. What is the nearest to -3 in d, 4, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 1 + 4. Suppose 2*x - 4*k + 39 = 15, -5*x + 5*k - 35 = 0. Is 13 + (a\/3 - x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -344688 or 0.19?\nAnswer: -344688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28 - 15 - 95 - 3) + 30.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7 and -1598?\nAnswer: 11186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 1875.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 71 = 3*n, s = 2*n - 0*s - 59. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((201\/(-402))\/(18\/4))\/((-1)\/(-4))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19149*p + 7 = 19150*p. Solve -44 = 4*i + p*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5332910 to the nearest integer?\nAnswer: 2309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qhqhqqt. What is prob of picking 1 t and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 160 and -5*(-51)\/9 - (-265)\/159.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0416470441 to 4 dps.\nAnswer: -0.0416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 21014\/3476 + (-22)\/4\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 202.63 or 390.7?\nAnswer: 202.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of -2*v**5 + 21*v**4\/4 + 387*v**3 + 1144. What is the third derivative of i(s) wrt s?\nAnswer: -240*s + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/4*276\/345?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - ((-1260)\/360)\/(7\/12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 7:05 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, -64, 0.5 in decreasing order.\nAnswer: 0.5, 3\/7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -85353, 3 in descending order.\nAnswer: 3, 1, -85353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 99230 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 43194002 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of 7*i**4\/12 + i**3\/6 - 4*i**2 + 1654*i. Calculate w(-4).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24021 and 127908?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 48\/6559 and 47\/27173?\nAnswer: 190211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/189*6*-1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 103 or 508\/5?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8285360 and 6214020.\nAnswer: 24856080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (154 + -158)*((-7)\/(-2) + (-24)\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1739*i = -1750*i + 52503. Does 129 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) - (sqrt(1452) + (sqrt(1452) - -3*sqrt(1452))))\/(sqrt(4) - (sqrt(12)\/(sqrt(9)\/sqrt(3)) - sqrt(4))).\nAnswer: -54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -45 + 88. Suppose 92 = 2*q + 2. Suppose -62 = -q*k + a*k. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 + -1)\/(-1 - 54\/(-60)). Let i be c + 6*(2 - 3). Let t = -23 + 20. What is the biggest value in -5, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - 22*t - 118. Calculate v(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118 = -8*o - 38 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.1, 8, 0.2 in ascending order.\nAnswer: 0.2, 1.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27231003 by 9077001.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -70950 divided by 11\nAnswer: -6450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -223 + 236. What is the highest common divisor of n and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k**6*x + 11787*k**4*x - 23834*k**2*x wrt k.\nAnswer: -120*k**3*x + 282888*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + 5 + 29 + (15 - 49)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-218)\/(-28) + 861\/(-123) - (-10)\/315*-9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ve when two letters picked without replacement from fxexeeefexvfeexeee?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 15 = 5*b, -2*b - 2*b = -3*g - 12. Let t be 144 + (1500\/(-10))\/10. Put t, b, -5 in descending order.\nAnswer: t, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1164225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**3 - 3*w + 3*w)*(-315 - 216 + 287)*(-3*w + 3*w - 3*w) + (4*w - 2*w**4 + 0*w - 6*w)*(0 - 3 + 2).\nAnswer: 734*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8000.883l to millilitres.\nAnswer: 8000883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 126 - 30 = 0. Let r be -2 + (0 - (j + 0)). Let a(v) = -v**3 + 5*v**2 + 2*v - 4. Let g be a(3). What is the greatest common divisor of r and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - (10 - 13))\/((-54)\/(-56)). Suppose 4*w + 2 + 10 = -5*z, -5*z + 2*w = 24. Is z < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {j: 7, w: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rzrroorrrwrswsrro. What is prob of picking 1 o, 1 z, and 1 s?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 4*w - 3. Suppose -f - 2 = -5. Let o(q) = -q**3 + q**3 + 6 + 5*q**2 + 2*q - 4*q**f + 5*q**3. Determine o(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 2*h. Put h, 0.1, -2\/25 in increasing order.\nAnswer: -2\/25, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72)\/(sqrt(6) + sqrt(24)\/sqrt(4))*-4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 152 + -101. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 17, -9, -55, -127, -231, -373?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -20 > -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-16)\/56)\/((-740)\/(-371) - 2) is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*h**2*m - 5*h*m + 3*h - 44*m + 3 wrt h.\nAnswer: -4*h*m - 5*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d + 24. Let n(o) = -2*o - 1. What is a(h) + 2*n(h)?\nAnswer: -2*h + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 2963089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 414 and 8418.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(500) + sqrt(5) + -2 + sqrt(20).\nAnswer: -17*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/110?  (a) -0.21  (b) 3\/5  (c) 1  (d) -5  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-4*(sqrt(147)*-2*3*4 + (sqrt(147) - 6*(sqrt(147) - (sqrt(147) + -1 + sqrt(147)))) + (1 + sqrt(147))*-6 + -5))**2.\nAnswer: 87584*sqrt(3) + 1248833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1765*l + 1149 - 558 - 589)*(6 + 0 - 4).\nAnswer: 3530*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (20\/15)\/(8\/12). Solve c*o - 5*z - 45 = 6*o, 5*o + 50 = -5*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - 14 - 10) + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 425068552*r**3*w**2 + 16533*w**2 + 875*w - 1 wrt r?\nAnswer: 1275205656*r**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = j + 10, 10*j - 3*k - 136 = -130 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -291*w + 5. Let o(p) = 60*p - 1. Let f(y) = 5*o(y) + v(y). Let a(q) = q**2 + 151*q. Give f(a(z)).\nAnswer: 9*z**2 + 1359*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1545.111 months?\nAnswer: 12.875925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5*j - 9 + 264 = 0, -j = 3*k - 161. Suppose 38*w = k*w - 34. Factor -3\/5*z**w + 9\/5*z - 6\/5.\nAnswer: -3*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/(-15)*(-66)\/44. Let y(s) = -s**2 - 1. Let b(r) = 581*r**3 + 6*r**2 + r + 4. Let a(u) = -b(u) - 6*y(u). Let f be a(h). Round f to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -322 + 335?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 15) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/105)\/(12\/(-60))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18*v**4 + 2598*v**2 + 3808*v - 348098278 with respect to v.\nAnswer: 72*v**3 + 5196*v + 3808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 4*o**2 + 42*o**4 - 3*o - 44*o**4 - 5*o**2 + o**3 in the form r*o + w*o**2 + l + n*o**3 + z*o**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -260*u - 5865. Calculate c(-22).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001110000101100110 (base 2) to base 9.\nAnswer: 536664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-3 - -15) - (-10 - -9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -34 + 80. Is 4971\/(-2)*d\/(-69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + q - 3354, 0 = -4*i + q - 1108 + 4458. Is 32 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {e: 1, i: 1, k: 6, x: 2, p: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 101 - 65. Suppose 0 = -4*f - s + 31, i - 13 = 5*f - 4*s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/10)\/((-1)\/180). Let l be n\/9*(-2)\/(-6). Suppose -31 = -4*w - 15. Is w less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(1\/2))**(-21)*m\/(((m**(1\/4)*m)\/m)\/m)*m*(m**(-2\/39)*m)\/m*m)**(-50) assuming m is positive.\nAnswer: m**(26525\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9 + 7\/(7\/(-5)). Does 16 divide (956 + g)*(-4)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 5*i**2 - 2*i + 2. Let q(l) = -2*l**3 + 24*l**2 - 20*l - 17. Let z(m) = m**3 + 2*m**2 - 5*m + 5. Let g be z(2). Let p be q(g). Calculate t(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**3\/3 + 312666*a**2 + 938001*a = 0. What is a?\nAnswer: -3, 0, 938001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2261406?\nAnswer: 2, 3, 7, 23, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 13*z**3 - 561*z**2 + 102*z - 690. Calculate d(43).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/13, 13, -11, 607?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in 3, -237, 0.11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 - -25. Suppose 0 = 5*b + 36 - 11. Let f = o - b. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 8 = 5*v - 21, 0 = -4*l - 5*v + 22. Suppose 2*d = 5*i + 4, -4*d + 4 = -2*d - i. What is the remainder when l is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -n**7\/14 + 6*n**6\/5 + 63*n**5\/10 + 11*n**4 + 15*n**3\/2 - 1400*n. Factor c(f).\nAnswer: -3*f*(f - 15)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 19.149 kilometers?\nAnswer: 19149000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 844.7599 weeks in microseconds?\nAnswer: 510910787520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 959099 (base 11) to base 2\nAnswer: 101110110101100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -3*a + 501, 3*a - 3*q - q = 503. List the prime factors of a.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -15, 87, 381, 963, 1929, 3375, 5397?\n\"Answer: 16*k**3 - 10*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -7*w - 4. Let z be j(-6). Let p = z - 21. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 1, -6, -5 in increasing order.\nAnswer: -6, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r**2 - 29*r + 39. What is c(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 107 and 5?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f - 19. Let v(b) = 21. Let y(u) = -3*k(u) - 2*v(u). Let q be y(4). Solve -j = -a + q*j + 20, -5*a - 5 = j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -3*o + 4*g - 7, -4*g = 0. Suppose 8*v = 5*v + 39. Let u = v + -8. Sort -3, u, o.\nAnswer: -3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -5\/1136382?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 42*m**4 - 27*m - 42*m**4 + 37*m**5 wrt m.\nAnswer: 740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*v - 30 = 0, 2*v + v - 6 = -z. Calculate the smallest common multiple of z and (-6)\/4*-10 - 0 - 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -271 = -144*l + 161. Solve -l = -4*o - f, -2*f + 5 = -3*o + 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -108 by 5.\nAnswer: -108\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 80, 140, 198, 254, 308, 360?\n\"Answer: -n**2 + 63*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 + 25. Suppose 4*r = 9 + h. Let y(l) = l**2 - l + 3. Is y(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddqddqdqdoqdqdtqqttt. Give prob of picking 3 d.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 3 = -27. Let m be (2\/u)\/(2\/(-18)). Solve -m*l = l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13088 divided by 4\nAnswer: -3272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 18867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, y: 3}. Give prob of picking 3 g and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15854563 to the nearest integer?\nAnswer: 3982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 5*z**3 - 137775*z**2 + 58719130*z = 0.\nAnswer: 0, 433, 27122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w. Let j be v(-1). Suppose -5*i - 101 = 4*q - 1965, -j*q + 1864 = -i. What are the prime factors of q?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1804, 1803, 1802?\n\"Answer: -z + 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of -176*(15\/20 - 6\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (144\/(-42))\/((-60)\/84)*(-85)\/(-4).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from ddxccwddwewccxcxdew.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21693*g**2 + 2*g + 34201 wrt g?\nAnswer: 43386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 4360708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3\/5 - 706*c**2 - 1559376*c\/5 - 1555848\/5.\nAnswer: -2*(c + 1)*(c + 882)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 - 23. Suppose 4*p = 2*p + 8. Suppose 0 = -p*m + m + 6. Solve -l - m*f + q*f = 0, 2*l = 5*f - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -14  (b) 1\/8  (c) -8\/3  (d) 5  (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d. Let r = 3 + -4. Let a = r - -5. Let b(q) = -6*q - q + a*q. Calculate b(h(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -615*m + 1928*m - 496*m - 661*m.\nAnswer: 156*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 49461 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -241, -262, -301, -364, -457, -586?\n\"Answer: -g**3 - 3*g**2 - 5*g - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i*n**4 + 1594*i*n**3 - i*n**2 + i*n - n**4 - 2126*n wrt n?\nAnswer: 24*i*n + 9564*i - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/23 + -26\/69. Which is the closest to 0?  (a) r  (b) 0.07  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 26 - (-1 + (-2 - -2)). Let g = 888 + -878. What is the least common multiple of (g\/6)\/(15\/z) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + 12. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 223980 is divided by 200?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3811409?\nAnswer: 7, 544487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -i**9\/2268 - i**8\/420 + 2*i**6\/135 - 8*i**3\/3 + 2*i**2 - 4. Let p(u) be the first derivative of a(u). Factor p(c).\nAnswer: -4*c**2*(c - 1)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h**3 + 3*h**2 + 12*h - 22. Suppose 13 = -2*t + 5*u - 2*u, -15 = 5*t - 5*u. Determine p(t).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 6)*(4*w + 3*w**3 - 4*w) + (-w - 2*w + w)*(-3*w - 2*w**2 + 3*w) + 2*w**3 - 1 + 1.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {v: 2, m: 3, f: 5, y: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*n, 5*n - 1 = -4*r - 16. Let i = 0 + 0. Which is the closest to i?  (a) -0.4  (b) r  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/7))**(-13\/2)*(l**(6\/11)\/l)**(13\/3) assuming l is positive.\nAnswer: l**(377\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5b9 - -1?\nAnswer: -5b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-2))\/w)**(2\/95) assuming w is positive.\nAnswer: w**(4\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12 - 12*r + 4 - 6*r + 9 wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75163813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**5 + 3095004*h**4 - 6190016*h**3 + 4*h**2 + 6190014*h - 3095008 = 0. Calculate h.\nAnswer: -1547504, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*28707.\nAnswer: -172242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.7 - -4.9. Let r = 4 + -9. Put d, -1, r in increasing order.\nAnswer: r, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) -1  (c) 0.5  (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 - 34. Let l be k(8). Let x be (-6)\/l + 2*151\/10. What is the greatest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 7458\/22 + 0\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -2*n - 3, -3*h - 7 = -3*n + 2. Let r = n + 14. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10575372.\nAnswer: 2, 3, 29, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*d - 38*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 411, 1\/25, -1\/3, 0.3, 1, -15?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u - 10. Let k(o) = o + 12. Let n(m) = 2*k(m) + 2*q(m). Suppose -2 = 5*p - 32. Let x be p\/(1\/((-2)\/(-4))). Give n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 4*i**2 - i**3 - 9 + 22*i + 2*i**2 - 20*i. Let g be j(6). Suppose -g*d - 29 = -224. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -79, -1, -15.\nAnswer: -79, -15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 8*x - 85. Suppose 0 = x*t - 13*t - 544. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14868107\/14 or -1062008?\nAnswer: -1062008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/27313770 and -53\/27313770.\nAnswer: 27313770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000059380582 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 12 = -0*p. Let z be -2 - 7\/(-2)*p. Let r = 11 + z. Calculate the remainder when r is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/113400 and 71\/19769400.\nAnswer: 59308200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 10. Let x = 1.93 - -0.07. Let l = f - x. Which is the second biggest value?  (a) 0  (b) l  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 352 + -345 - (-4 + 45)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.6703249 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 123\/15 + 258\/(-215).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1896*m*w**4 - 578*m*w + 6818393*m wrt w?\nAnswer: -7584*m*w**3 - 578*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(-2\/31)*l))**(1\/15)\/(l*l**(-11\/5))**31 assuming l is positive.\nAnswer: l**(3460\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3933 divided by -57\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*z + 8*z + 740107. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f**3 + 1062*f - 1061*f - 3*f**2 + 10*f**2 in the form t*f**2 + s + g*f**3 + b*f and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7233650?\nAnswer: 2, 5, 199, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 3 = -0*j. Suppose -y = t - 0*t - 6, 16 = 2*y + j*t. What are the prime factors of 5 + y + -2 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(3\/2))**(-7\/2))**(-49) assuming r is positive.\nAnswer: r**(1029\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (36\/(-8) + 3)*(-4)\/3. Suppose -9 = 3*f, -r = a*r + 3*f + 3. Let y(m) = 2*m**2 - 3*m**r - 175*m**3 + 176*m**3. Calculate y(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*u - 210 = -42*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 + 3*z**2 + 2*z - 4. Let h be i(3). Suppose 16*t + t = 0. Solve t = -h*m - 2*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 171*m**2 - 7641*m - 5. Calculate d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 4406?\nAnswer: 22030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10022120 + 10111021?\nAnswer: 20210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -194 or -1.5389?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9\/16 + -199\/240. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108199 and 1224496?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.7 - 0.9. Which is smaller: t or -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 155 - 12143?\nAnswer: -11877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bwuvuwhs. Give prob of sequence subw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 0, -0.3, -0.5, -1\/17, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -17. Suppose -7 - 5 = -5*f - 4*d, 3*f - 3*d + 9 = 0. Calculate the remainder when 21 is divided by f + -1 + q + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 855072 is divided by 3887.\nAnswer: 3819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 4*c**2. Let o(w) = -1. Let s(b) = 2. Let q(z) = 11*o(z) + 6*s(z). Let x(d) = -2*d + 2. Let n(i) = -2*q(i) + x(i). What is n(f(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -1549*c + 1946920 - 1946920 as r + j*c and give j.\nAnswer: -1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -4*w**2 + 7328*w - 3356224 = 0.\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 19 + (-23 - 15)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.9  (b) -6\/7  (c) -0.4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-2))\/((-1)\/36). Let g = -12 - -15. Calculate the highest common divisor of g and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(1112\/417*(-690)\/(-8))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -20*l - 6*l - 3*i - 12 - 34, i = -5*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09251162 rounded to 5 decimal places?\nAnswer: 0.09251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gagm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2639428 is divided by 879752.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11\/(-33))\/(58\/12).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1218 or -1242?\nAnswer: -1218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1046133 to the power of 1\/2, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 239, 478, 717, 956, 1195?\n\"Answer: 239*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-8) + 189\/(-28) + 7. Suppose -4*i = c + 71 - 193, t = c - 5*i - 95. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 207?\nAnswer: -5\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -18*k + 213. Calculate v(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g - 1. Let j(f) = -5 + 2 - 7 - 1 - 19*f. Let t(l) = 6*l + 4. Let o(r) = 2*j(r) + 7*t(r). Determine -12*i(m) - 2*o(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -21*p - 291. Let l be x(-14). Solve l = -w + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = 5*q - 5*n + 2*n, 4*q - 69 = -n. Calculate the greatest common divisor of 153 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 764*a**2*p**2*s - 2*a**2 + 18*a*s + 5*p*s + 26 with respect to p.\nAnswer: 1528*a**2*p*s + 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -5*t**4 - 60*t**3 - 130*t**2 + 175. Let a(o) = -2*o**3 - o**2 - 1. Let g(k) = -5*a(k) + z(k). Determine u so that g(u) = 0.\nAnswer: -6, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(((m**(4\/5)*m)\/m*m)\/m)\/m*m*m*m)\/m)\/(m\/m**(3\/4))*(m**(2\/5)*m)**28 assuming m is positive.\nAnswer: m**(167\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -52*s - 154. Let t(d) = 183*d + 540. Let r(g) = 18*h(g) + 5*t(g). List the prime factors of r(-9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22699, 30590, 38503, 46450, 54443?\nAnswer: 62494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**3 - 90*v + 90*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q**(-3\/5))**(-9\/5))**36 assuming q is positive.\nAnswer: q**(-2268\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-3)*81\/(-36))\/(3\/7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of -r**6\/40 - 3*r**3\/2 + r**2 - 3*r. Let b(k) be the first derivative of v(k). Differentiate b(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -4, -0.037, -3\/2, 1\/3, 1\/5, 1.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -100839310?\nAnswer: -20167862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2050, 9296, 21606, 38986, 61442, 88980?\n\"Answer: f**3 + 2526*f**2 - 339*f - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -42 - -13. Let u = 25 + h. Is -1 + 51 - (-4)\/u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(16\/(-12) + 1). Let a be 0 + ((-64)\/20 - h). Let c be (-15)\/6 + (-1)\/(-2). What is the nearest to c in -0.3, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 7*u**3 - 350*u**2 - 364*u + 296. Determine i(51).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-3)\/(-4))\/(10\/1480)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4*r + 8 = 0, 15 + 9 = y + 4*r. Suppose -t - y*z - 2 = -2*z, 4*z + 8 = -4*t. Put t, 2, -3\/4 in increasing order.\nAnswer: t, -3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 + 22*s - 161. Let r be v(6). Solve 2*n - 11 = 3*z + 2*z, 4*n + 5*z - r = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*s**3 + 42*s**2 + 4*s - 30.\nAnswer: 2*(s + 1)*(s + 5)*(4*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2268501215 - 2268501215 - 5*y**2 - 10*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32863444 is divided by 534.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.049  (b) 2\/7  (c) 0.11  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20.5 - 36.1. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 6677 = 4*y, -2*y + 7*l + 3341 = 6*l. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10403361 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5676 times -1?\nAnswer: 1.5676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(-1820)\/3822*10\/20.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3435601721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 222421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 349914 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2411809 or 2411806?\nAnswer: 2411806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4279, -4304, -4345, -4402, -4475, -4564?\n\"Answer: -8*r**2 - r - 4270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5740)\/1312*4*-2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 8 - -5 - 3) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 73*m + 4.\nAnswer: 73*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 - -18. Let w(b) = 2*b - 9. Let i be w(d). Suppose -4*y + 3*f = 1218 - 381, -i*f - 3 = 0. Round y to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 853 = g + 2*i, -4*g - i + 2226 = -1207. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -427  (c) 0  (d) -5  (e) -2  (f) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1627 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 8.5?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -26 and -0.42.\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 392 and 11824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3746769497?\nAnswer: 3746769497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -726, 266, 3.\nAnswer: -726, -5, 3, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p**4 + 2*p**3 + 4*p**2 - 2*p - 3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 155715?\nAnswer: -155718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -4*w**2 - w + 156. Let b(g) = -3*g**2 - g + 156. Let i(h) = 3*b(h) - 2*k(h). What are the prime factors of i(0)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11248193587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -1\/3, 4, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 28512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 p when four letters picked without replacement from phhqphphqh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 + 13*l - 40. Let f be n(7). Suppose 0 + 3 = m. Factor -s**m + 5*s**3 - 4 - 3*s**2 + 13*s**f + 2*s.\nAnswer: 2*(s + 1)*(s + 2)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 - 15*h**2 + 10*h + 50. Give l(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 4938 - 3*i - 4938 - 83*i**2 as w*i**2 + q*i + g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/9))**37\/((x\/(x**(-5\/4)\/x)*x)\/(x\/(x*x**5)))*x*x**(-2\/9)*x\/((x*x\/(x**(1\/6)\/x))\/x)*x*x**(-2\/25)*x*(x**(-1\/3)\/x)\/x assuming x is positive.\nAnswer: x**(-16147\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -196*v - 18 + 11 + 7.\nAnswer: -196*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -o**7\/42 + 7*o**6\/24 + o**5\/4 - 275*o**4\/24 - 125*o**3\/3 - 39*o**2. Factor y(q).\nAnswer: -5*(q - 5)**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*d + 92 = -28, -5*p - d = -245. Calculate the least common multiple of p and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80202?\nAnswer: 2, 3, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from aaaaayaya.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/2)\/(22\/924). Let k = -143 - -145. Solve -3*a + h = u + 4, -k*a + 28 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97*o**2 - 28*o**2 - 32*o**2 - 39*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2*p - 2)*(3*p - 4 + 4) + 0*p**2 + 2*p**2 - 3*p**2 as t*p + d + r*p**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 - -0.1. Let r = x - 0.3. Let y = -0.08 - -3.08. Sort r, y, 4 in ascending order.\nAnswer: r, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1025 + -1020. Solve -4*s - 7 = -k, 4*k - 5 - 1 = t*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 5*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 41 + 3a?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -3\/12128545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 219281 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 130*k + 2870. Calculate the lowest common multiple of (-1)\/1 + -1 - -9 and t(-22).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13\/3, 103\/5, -1\/14 in decreasing order.\nAnswer: 103\/5, 13\/3, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 427757*t**3 - 213894*t**3 + 1 - 213889*t**3.\nAnswer: -26*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 6:07 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.615 - 0.385. What is the nearest to -2\/7 in 0.4, 5, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 12 = 5*r, 5*b - 20 = 4*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-5)*g*g\/(g**(4\/5)*g*g))\/((g*(g\/g**5)\/g)\/((g*(g*(g*g*g*g**(1\/14))\/g)\/g*g)\/g)))\/((g*g**(-2\/11)\/g)\/(g**8\/g))**(-4\/15) assuming g is positive.\nAnswer: g**(-1487\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15888 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 17\/85*(-1)\/2. Does 1 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5*((-377)\/(-65) + -5). Solve 4*o = m*s, -12*o - 12 = -8*o - s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -233 - -1?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5422976, -10845929, -16268882, -21691835, -27114788, -32537741?\nAnswer: -37960694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 - 0. Let x = 44.943 - u. What is x rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34984.75*-4.\nAnswer: -139939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 12 - 11 - 1294*z + 1344*z. What is v(-1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*d + 48 = -97*d. Which is bigger: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - n + 27, 1075 = 225*h - 3035*n + 3040*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of h**4\/6 + 2*h - 36. Let a(p) = 41*p. Determine f(a(s)).\nAnswer: 3362*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1056, 2100, 3152, 4218, 5304?\n\"Answer: x**3 - 2*x**2 + 1043*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 961 and 961 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 0*h**3 - h + 16\/5*h**6 + 28 + 0*h**2 + 0*h**5 + 95\/6*h**4. What is the third derivative of l(k) wrt k?\nAnswer: 2304*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-162)\/45 + (-2)\/5. Find the common denominator of (104\/6)\/w*-9 and (-2)\/9 - 1364\/(-468).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 0, 8 + 1 = 3*h + j. Suppose -2*o = -h*o + 7. Let u = -2 + o. Solve -45 = -5*m - 4*y, 0*m + 3*y = 2*m + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 9432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of 1\/4*j**3 + 3\/4*j - 6 - 3\/4*j**2. Factor a(t).\nAnswer: 3*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 359*g**6 + 183*g**2?\nAnswer: 43080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 173 - 175.8. Let t = -1.1 - 3.9. Let z = 3 + t. Is u bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n + 3. Let v be (0 + 4 - 6)\/((-2)\/(-5)). Let l be (-6)\/(-4)*((-350)\/15)\/v. Let x be 1 - (-4)\/2 - (l - 8). Give c(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {j: 7, q: 3, y: 1, d: 4, z: 3}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1032*c + 3 + 595*c - 489*c + 389*c to n + j*c and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -88084, -178229, -268374, -358519, -448664?\n\"Answer: -90145*o + 2061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**3 - 3*k**2 - 3*k + 4. Let u be n(4). Let b = -128 + u. Let j = -115\/2 - b. Sort -0.3, 1, j.\nAnswer: j, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 + -36)*(-2 - -4)\/(-15 + 11). Let a(f) be the second derivative of -w*f + 5\/2*f**3 + 0 - 9\/2*f**2. What is the derivative of a(r) wrt r?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 131*c**5 - 6708*c - 540*c**5 + 134*c**5 + 136*c**4 - 3*c**2 + 139*c**5 + 138*c**5 wrt c?\nAnswer: 40*c**3 + 1632*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*o + 8*o + 10*o + 28*o + 16*o - 80*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 284578.089 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f + 49. Let p be k(-21). Factor 3*o**3 + 69 - p - 9*o**2 - 29.\nAnswer: 3*(o - 2)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4725 is divided by 142.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 123071 in -4, -29, 0.4, -2, 2\/9, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10965 + 5457 + 5463 = -5*h + 5*s, -46*h - 5*s = -159 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of -p**5\/60 - p**4\/24 + p**3\/6 - p**2. Let a(f) = 5*f**2 + 4*f - 7. Let x(s) = -a(s) - 4*t(s). Differentiate x(r) wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -353, -232 in ascending order.\nAnswer: -353, -232, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 17 - 5 = -2*i, 3*g + 30 = -3*i. Let n = g - -10. What is the units digit of (2\/(-4))\/(n\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31157 - 1175*u - 31157 to n*u + g and give n.\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1565*k - 7*k**3 + 1565*k.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -45 - -45. Suppose -19*x + 16*x + 1599 = s. Is 48 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 4*y**2 + 5. Let i be a(-4). Suppose i*u + 3*g - 220 = -2*g, -3*u = -g - 128. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.15?  (a) -5  (b) -2\/9  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/4*176\/(-20). Calculate the greatest common divisor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -745*p**2 - 8055*p**3 + 2681*p**3 + 2687*p**3 + 750*p + 2682*p**3 = 0.\nAnswer: -150, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 2*h + 8. Let x(w) = -3*w**3 - w**2 + 8*w - 4. Let u be x(1). What is y(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4194\/101 < -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -75*l + l + 414. Solve -l*o + 47 - 101 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zpzzpzpzpzzzzpzzzp. Give prob of picking 3 z.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/(-49))\/(4\/14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of p**5\/4 + 5*p**4\/12 + 5*p**3\/6 + 2*p + 5567. Let u(k) = -15*k - 5*k**3 + 3*k**3 - 3*k**2 + 12*k. Calculate 3*i(b) + 5*u(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w + 7*w - w + (-w - w + 3*w)*((-2 + 1 + 0)*(-1 + 3 - 3) + 0 + 2 + 0 - 6 - 2 + 7).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -545 + 735. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -23*j**2 - 5*j - 15. Let m(f) = -4*f**2 - f - 3. What is -11*m(q) + 2*y(q)?\nAnswer: -2*q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 233843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4929, 9871, 14831, 19815, 24829, 29879?\nAnswer: 34971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -14*f - 2. Let k be v(2). Let z(m) = -5*m - 5. Let o(q) = 2*q + 2 - 3*q - 3. Let h(b) = k*o(b) + 5*z(b). Differentiate h(s) wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and -9251.\nAnswer: -9247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + x**2 - 1. Let c be y(-1). Let q be (1 - c) + (-1 - -3). What is the smallest common multiple of 20 and 9\/(-18) - (-42)\/q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 23815, 23836, 23877, 23944, 24043, 24180, 24361, 24592?\n\"Answer: i**3 + 4*i**2 + 2*i + 23808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -3, -0.1, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 15*26\/65 + (0 - 140). Let b = -63 - 175. Let j = v - b. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**2 - 40*k + 64.\nAnswer: 4*(k - 8)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of 3*f**2\/2 - 2. Let x(r) = -r. Let i be 3 - -1*(-4)\/(-4). Determine i*v(o) + 9*x(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(350)\/(sqrt(250)*2))\/((1*sqrt(100) + sqrt(25))\/sqrt(5)).\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -165, -374, -687, -1116?\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -f**4\/6 - 4*f**3\/3 + 20*f**2 - 3*f. Let j be x(20). What is j rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(-30)*-3)\/(3\/255). Let p = 71 + x. Let c be (1206\/p - 0)\/((-4)\/20). Round c to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17552701 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - 8*x + 9. Let g be f(7). Let y be g\/(-9) + (-10 - -10). Let m be 1*((-4)\/5)\/(-2). Which is the nearest to 5?  (a) m  (b) 5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -78*b - 13. Calculate g(3).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 675428.4nm to kilometers.\nAnswer: 0.0000006754284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3c96 - -f0?\nAnswer: 3d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 3*i - 27, 3*r - i = 5*r + 3. Let y = r - -5. Let t = -0.33 + 0.13. Which is the fourth biggest value?  (a) -2\/11  (b) y  (c) -1\/2  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 606 = -348. Let p be (1\/3)\/((-6)\/g). Let x = 207 + p. What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 390\/(-180) + (-1 - -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 487*h + 486*h = 12, -3*h = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**2\/7 - 64*h\/7 + 62\/7 = 0.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 795 times 67348\nAnswer: 53541660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3546707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1685*d**5 - 2*d**3 + 29*d**2 + d**3 + 2 + 1657*d**5 wrt d.\nAnswer: -1680*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -73.6 + 73.41. Which is bigger: a or 5.6?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.188 - 0.112. Which is the closest to 66?  (a) -2  (b) -0.05  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32104 - -30044?\nAnswer: 112203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -326 - -229. What are the prime factors of (-9)\/18*(1 + g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -7*y**3 + 13*y**2 - 43*y + 3. Let b(j) = 6*j**3 - 13*j**2 + 38*j - 4. Let l(q) = -6*b(q) - 5*v(q). What is l(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -33*c**3 + 5*c**2 - 5. Let g(q) = -494*q**3 + 76*q**2 - 76. Calculate 5*g(r) - 76*z(r).\nAnswer: 38*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -19\/112  (b) 4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - 16*x + 8. Let y be g(18). What is the greatest common divisor of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33 + 0 + (0 + -13 - 0 - (2 + -7))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, -61\/5, 1, -2\/1451?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/889 or -1?\nAnswer: 2\/889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of -m**7\/1470 + m**6\/280 + m**5\/420 - m**4\/56 + 6*m**2 + 72*m. Find j, given that t(j) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*x = -111*x - 13*x + 1555753. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (9 - -1)*(-10)\/(-25). Suppose -5*u = 5*k + 30, u - o*k - 12 = 2*u. Let n be 34\/(-36) + (-2)\/u. Which is the smallest value?  (a) n  (b) -4  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5459635 divided by -4.\nAnswer: -5459635\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -1536394 and -1536342 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -2*b + 85. Suppose 103*l = 199*l - 33984. Suppose 5*n - 55 = 2*i + l, -4*i + b = n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -352, -702, -1052, -1402, -1752?\n\"Answer: -350*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 591639680.25 less than -4?\nAnswer: -591639684.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, -2.03, 46, 9 in descending order.\nAnswer: 46, 9, 1, 0, -2.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -753 or -755?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7811 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 10 = -h, 1 = 5*r - 2*h - 1. Suppose -2*k = i + 2, 2*k = 2*i - i + 2. Find the second derivative of a**2 + k*a**2 - r*a + 0*a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-36)\/5*(-325)\/(-30)*-3. Let j = b - 363. Let r = 269 + j. Calculate the greatest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 282 = 11*m - 1159. What is m rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1021 (base 6) in base 13?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1214\/1044 - (-9450)\/2835*4\/(-12)?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16169 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 146204 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5 and -68\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from udee. Give prob of picking 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002109 rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -0.6  (b) -0.21  (c) -2\/11  (d) -1.41  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 5*i + 2. Let l be v(2). Let d be l\/(-4)*5 - 2. Suppose -d*s - 10 = -j - 2*s, -j = 2*s - 7. Calculate the lowest common multiple of j and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32969075.\nAnswer: 5, 1009, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -137260.\nAnswer: -3\/137260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1690\/(-2)*(0 - 1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 393 + -387. Solve b*t = -7 - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -5*a**4 - 22800*a**3 - 499615*a**2 - 1972680*a + 6126300 = 0?\nAnswer: -4538, -15, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-9)\/x**(-3))**40)**(-39) assuming x is positive.\nAnswer: x**9360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 25*s + 537. Give a(39).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6125132 by -100412.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m - m + 2*m)*(-8*m - 7*m + 2*m) + (1 + 2*m - 1)*(0*m - 3*m + 4*m).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/6*(-3)\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -10*o**2. Let r(z) = -62*z**2 - 50*z**2 + 12*z**2 - 9*z**2. Calculate r(u(s)).\nAnswer: -10900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert d (base 15) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 25 + 5 = 0. Solve -d*f = 2*o - f + 19, f - 1 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*-1*1 - (-392)\/147.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 16. Suppose 9 = 5*r - 31. What is the remainder when h is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-4)*m**(-3))**(-6)*((m**(-2))**7)**(14\/11) assuming m is positive.\nAnswer: m**(266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-q + 0*q + 0*q)*(0*q + 3*q - 2*q) + 10*q + 2 + 2*q - 2*q**2 - 15*q - 2 + 1 + 6 - q**2 in the form r*q + o*q**2 + x and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**3 - 537*j**2 - 21432*j + 238572 = 0. What is j?\nAnswer: -94, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9 + -10)*3*-1. What is the nearest to b in 0.4, 11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 67*b + 2. Is g(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32*s + 10*s**3 - 13 + 52 - 16 - 23 wrt s.\nAnswer: 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -3*u + 3. Let f(o) = 8*o - 8. Let b(w) = 2*w - 5. Let t be b(0). Give t*f(p) - 14*a(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 15413 rounded to the nearest one hundred?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 321\/(-9)*1*900. What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23219909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -335*o**2. Let t(s) = -s. Calculate c(t(r)).\nAnswer: -335*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44337 is divided by 773?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 152\/10*365\/146?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4*(2 + -1)\/(-1). Suppose d - 3*t - m = -2*t, -t - 12 = -3*d. Let h be 0\/(-4) - (1 - 4). Solve 0*u + d*x = -h*u, 4*x = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from ofzjfoojjfaof.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1742 + 1748. Solve 100 = -v*q + 106 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133007348 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -51*o + 49*o + 32. Calculate the remainder when 126\/o + (-5)\/(6 + -46) is divided by (-5)\/(2\/2 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzddddttzz. Give prob of sequence dz.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2 + 0 + 1\/4*w**3 - 13\/4*w.\nAnswer: w*(w - 13)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 125, 4, 3, -2431 in descending order.\nAnswer: 125, 4, 3, -2431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 349132460*h**6 - 176803*h**2 + 675?\nAnswer: 41895895200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*x - 14*x + 8*x.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = 1361*t - 1356*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (0 + -1)) + -141 + 142?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 239384, 478764, 718134, 957488, 1196820?\nAnswer: 1436124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-46) - 1026\/(-2277)) + 214*9\/(-3663)?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1160 + -823. Is z\/3 - 8\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -513988927 and -5.\nAnswer: -513988932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -4*z**3 - 7*z**2 - z - 13. Let j(c) = 9*c**3 + 14*c**2 + 2*c + 27. Let q(v) = 3*j(v) + 7*t(v). What is q(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 1 = -p. Let f(l) = l**2 + 5*l - 4. Let c be f(-6). Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 2*g**2 - 2*g + 2. Let w(i) = -1062*i**3 - 10*i**2 + 7*i - 10. Calculate -5*l(x) - w(x).\nAnswer: 1057*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 + -2 - (-7 - (-7 - (21 - 19)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 75068933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-5340)\/14)\/(0 + -2). Let m = l + -191. Let a = -744 - -744.2. What is the nearest to 0.2 in a, m, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -11*u + 2*u + 18. What is the nearest to -4 in 1, -1.32, u, 3?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from elep. Give prob of picking 1 e and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*m = -30*m - 32. Suppose -m - 23 = -3*q. Sort 3, -1, q, 2.\nAnswer: -1, 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192614*p + 192488*p - 5796 = 0 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1332 by -666.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 73158386, 146316771, 219475154, 292633535, 365791914?\n\"Answer: -u**2 + 73158388*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 20767774.\nAnswer: -1\/20767774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -6  (b) 27  (c) -1\/7  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 12, -97*s + 22304 = -95*s + 4*u. What are the prime factors of s?\nAnswer: 2, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -501\nAnswer: -4\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 77*a**5 - a - 76?\nAnswer: 1540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -h**4 - 16*h**3\/3 + 10*h**2 + 32. Determine t, given that l(t) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 508120*h**4 + 15*h**2 + 2856*h?\nAnswer: 12194880*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-34 - (7 - 32))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 4*b**2 - b. Let y be z(3). Let u = 8 + y. Let a(j) = 2*j**2 + 3*j - 1. List the prime factors of a(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 4 = -0*c. Let o(d) be the first derivative of -5*d**2\/2 + d - 1. Calculate o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 117*a - 1 as p*a + u and give p.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of v**5\/60 - v**4\/24 + 7*v**2. Let d(h) = 2*h**2 - 3*h. What is -3*d(p) + 7*r(p)?\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j*j*j**(2\/13)*j)*j*j**(1\/21) assuming j is positive.\nAnswer: j**(-302\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 divided by -34.\nAnswer: 31\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24 + 13?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + 80. Let v = 27 + -25. What is the remainder when s is divided by 1\/(v*(-4)\/(-176))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*2\/(320\/(-24)))\/(6\/(-10))*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - -1804) + 2\/2. Let s(a) = a**2 + 3*a - 8. Let v be s(2). Suppose -2*z = v*z - i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 + 8*z**2 - 7*z + 13. Suppose b - 4*l - 1 = 0, -2*l - 2 = -b + l. Suppose -b*f - 14 = -3*f. What is the tens digit of s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z**2\/4 + 6123*z - 12497043 = 0.\nAnswer: 4082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3280\/(-4592))\/((-2)\/(-84)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 10\/((-320)\/184).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 193*b**3 + b - 2. Let k be w(1). Let h be (-133)\/(-1) - (2 - -1). Let x = k - h. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/5)\/(1\/2). Let r = -4337\/35 - -866\/7. Which is the third biggest value?  (a) -3  (b) r  (c) -0.07  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2019, 5084, 12191, 19302, 26417?\n\"Answer: 2*y**2 + 7097*y - 9118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 + -1 - ((87 - 71) + -89)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58*f**3 - 72*f**3 + 2*f**2 - 3*f**2 to g*f**3 + w*f + p + d*f**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5187*m - 5160*m - 189 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -90 + 3201. Is 61 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6229419?\nAnswer: 3, 7, 31, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 - 18 - ((-5 - 0) + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 13) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23342489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + 2*r**2 + 2*r + 7. Let c be j(3). Is (56\/12 - c)*18 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (13\/3)\/(5\/15). Let x = 18 - 17. Let o = q + x. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5 - (0 + 2 + -3). Let r be 2 + (1\/(-2))\/(2\/h). Let d(j) = -j**3 - 1 - 4*j + 1 + 5*j**2. Calculate d(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -123 + 127. Let o(y) = -7*y + 36. Let d be o(z). Calculate the greatest common divisor of 88 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43*m*s**2*w**2 - m*s*w**2*z + 3*m*s*w*z + 3*m*z + 2*s**2*w**2 - 6*s**2*w*z - s*w*z - 2*w**2 wrt s?\nAnswer: 86*m*w**2 + 4*w**2 - 12*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 64\/(-24)*(-1 + -20) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 1 + 5 = 0, 0 = q + 2*z - 104. Let i = -176 + q. Let p = 74 + i. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -27*v. Let r(s) = -15*s - 16*s + 19*s + 198*s. Determine r(d(l)).\nAnswer: -5022*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -2 + 1 + 6 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -367*c - 2328 - 1141 = 5339 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qooqlojyyhy. What is prob of sequence hyo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 3*(sqrt(17) + 1)*-2*3.\nAnswer: -18*sqrt(17) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, l: 3, d: 1, s: 3, q: 1, x: 2}. Give prob of sequence fd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/2 + 80*p**2 + 3034*p - 13448.\nAnswer: (p - 4)*(p + 82)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -5*a + 9*a + 28, 0 = 16*j + a - 131 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 153 - 76. Let n = 70 + g. Calculate the remainder when n is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*q - 505 = -123*q + 3*p, -404 = -4*q + 3*p. Let c be (-16 + 1)\/((-2)\/14). Suppose -c*h = -q*h - 8. Solve 7*u + 10 = h*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) + 0)*-3)**2 - (sqrt(700) + (2 + 2*sqrt(700))**2))*1.\nAnswer: -90*sqrt(7) + 8396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130231?\nAnswer: 31, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c**3\/17 - 56*c**2\/17 + 38*c\/17 + 84\/17 = 0.\nAnswer: -6, -1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**3\/4 + 20789*n**2\/4 + 270764*n + 3522129 = 0. Calculate n.\nAnswer: -26, 20841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -31*r + 934. Let c be a(30). Let g(v) = -v**2 + 2*v + 4. Let b be g(3). Calculate the highest common divisor of b and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -171 - -51. Let f = -94 - s. Let d = 23 - f. What is the smallest value in -0.2, d, -2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -7, -6, -3, 167.\nAnswer: -7, -6, -3, -1, 3, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1109, -2243, -3377?\n\"Answer: -1134*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -5*(32\/(-20))\/(-4). Let c be -1 - 1\/((-6)\/7). Let l = 1.3 + -0.3. What is the closest to l in -3, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of y**2\/2 + 12*y + 1706. What is o(20)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**2 - 69*n - 785. Is 2 a factor of t(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of -k**3\/3 + 4. Let b(p) = -5*p**2 + 59. What is d(b(n))?\nAnswer: -25*n**4 + 590*n**2 - 3481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -996\/11 - -5013\/55. Let -3\/5*a**3 - 3\/5*a**2 + 3\/5*a**4 + j*a + 0 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 14, -17\/4, 0.13, 2.454, 1\/10?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -f**5\/360 - f**4\/24 - f**3\/4 - 4*f**2. Factor q(i).\nAnswer: -(i + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(475) - (sqrt(475) + sqrt(475) + 1))*5 + 4.\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*w - 3*w - 12. Which is the fourth biggest value?  (a) 0.3  (b) w  (c) 0.4  (d) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 66*o - 3*o + 945 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 156, 150, 144, 138, 132, 126?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 212 times 0.07?\nAnswer: 14.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 1)*(1 - c**3 - 1 + (2*c**2 - 6*c**2 + 2*c**2)*(-c - 2*c + c)).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*c = 44 - 129 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 687*d**2 - 1402*d**2 + 715*d**2 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 547730950 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1574760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) 14  (c) 3  (d) 4\/3  (e) 127\/367\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -13 - -27) + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 492767487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b*l**2 + 11*b*l - 25167*l**5 - 17*l + 15 wrt l.\nAnswer: -2*b - 503340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r**4 - 28376*r**3 + 84903696*r**2 + 169892504*r + 84960436 = 0. Calculate r.\nAnswer: -9361, -1, 2269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 7*s - 6. Suppose 18 = -5*x + 2*i, 5*i - 30 = 7*x - s*x. Let d(g) be the third derivative of -g**4\/4 - g**3\/3 - 9*g**2. Determine d(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 4*g - 2 = 0, -3*k - 74 = 5*g - 64. Solve 2*x = -b, 6*b - k*b = 2*x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*i = -105*i + 111*i - 1386 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -354 - -349. Put k, 2, -6 in descending order.\nAnswer: 2, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100 divided by -83\nAnswer: -100\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((-12)\/1)*(-2)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 75611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(18\/(-20))\/(141\/(-1645)*(-28)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.071 times 107116?\nAnswer: 7605.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((276\/23)\/444)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 13. Suppose 3*w + 14 = -0*x - 4*x, 4*w - i*x - 23 = 0. What is the second derivative of 0*q**w + 23*q**2 + 154*q - 183*q wrt q?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 18?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 12*m**2 - 1. Let v = 14 + -11. Let d be 12\/(-4) + (v - 2). What is the units digit of a(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2522 - 12*n - 7*n - 835 - 833 - 854.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 100\/550 - 62\/(-22). Suppose 4*a + 92 = 4*r, -58*r + 57 = -55*r + p*a. What is the remainder when 164 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3964  (b) -1\/3  (c) -20\/27  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -95 + 94. What is the tens digit of 916\/6 - f*(-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 - -65 - (447 + -273)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 13. Let x(r) be the second derivative of -r**5\/20 - r**4\/3 - r**3\/2 + 3*r**2\/2 - 11*r. Is x(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84007315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -1bf?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003929699 to four dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**4 + 3*l - 3*l)*(-6*l + 3*l + 2*l + 0 + l + 0 + (-l + l + 2*l)*(1 + 0 + 1)).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -5*d**4 - 355*d**3 - 1315*d**2 + 1675*d = 0.\nAnswer: -67, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198274?\nAnswer: 2, 99137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*f**4 + 2422*f**2*s**2 - 3975*s**2 wrt f?\nAnswer: 8*f**3 + 4844*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - d - 164 = 0. Suppose -5*g = -9 - d. Suppose -h = 4*k - 3, 0 = 4*h - 2*k - 8 - 4. Calculate the remainder when g is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -601971 divided by 1\nAnswer: -601971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.398 + -3.3980054695. What is d rounded to seven decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(-72)*(0\/(-3))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 1546  (c) 2\/3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -16*b**3 - 4286*b**2 + 529*b - 1873. Determine y(-268).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 1613*l**2 + 893 - 893 + (-3*l + l + 0*l)*(0 + 0 + 2*l) + 2*l**2 - 3*l + 3*l - 2 + 2 - l**2 + l**2 - l + l as p*l**2 + y*l + v and give p.\nAnswer: 1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -235, -271, -319, -385, -475?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 30 = 12. Let o(d) = -3*d - 5. Let x = -8 + 3. Calculate the least common multiple of s and o(x).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 268 - 268. Let l be (8\/14)\/(7\/49). Suppose l*h - 3438 = z - n*h, 4*z - 2*h = -13794. Round z to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 134 * 16.17\nAnswer: 2166.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, 3, -5, -0.14, -0.3, 1.5756, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 195240 divided by 4\nAnswer: 48810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 4*s - 18, 6371 = 5*m - 4*s. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(500) - (sqrt(500) + sqrt(500) + -2)) + sqrt(500) + -2*(1 + sqrt(500)) - (-1*sqrt(500)*4 + 1))**2.\nAnswer: -40*sqrt(5) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 - 4*z**2 + z - 4. Let h = 16 + -17. Let r be 10\/(-5) + -1 + h. Let s be a(r). Let x(l) = -l**3 - 8*l**2 + l + 1. Determine x(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4481044 and 424?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(-26)*5236\/(-154).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134947805?\nAnswer: 5, 31, 53, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 85ba + 140a?\nAnswer: 9a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (34005\/15869)\/((-20)\/(-6))\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 + 7*n**2 + 4*n - 7. Let v be (-23)\/4 - 3\/12. Let j be c(v). What is the third derivative of -2*g**5 + g**j - g**2 - g**2 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1225 or 1260?\nAnswer: 1225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 79041 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54463?\nAnswer: 107, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 61 + -59. Suppose 0 = -4*z + 2*t + 34, z - 7 = -g*t + t. Suppose z*v = 12*v - 432. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 7.8\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 + 20*g + 192. Let t be b(27). Let c(w) = -2*w**2 + 160*w - t*w**2 - 160*w. Let a(k) = 7*k**2 + 2*k. Determine a(c(y)).\nAnswer: 175*y**4 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -10  (b) -1  (c) -3  (d) 3  (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 65 divided by 5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3891249 (base 10) in base 13?\nAnswer: a6321b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 0*y = 10. What is the first derivative of -3*x**3 - 2 + y - 4 wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 0.3, -1\/5, -3.9239?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32 + 10 + 69)*(-w + 0*w + 0*w).\nAnswer: -47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 1 + 7. Let u = -1 + r. Let x = -19 - -21. Put -1, x, u in ascending order.\nAnswer: u, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d and 1 n when four letters picked without replacement from dndndddndn?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 5*s**2 - 2*s - 2. Suppose -3 = 2*p - p. Let n be (9\/p)\/((-3)\/4). Calculate the lowest common multiple of w(n) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -f**5\/12 + 37*f**4\/24 + 705*f**2. Let i(t) = -10*t**2. Calculate n(i(g)).\nAnswer: -500*g**4 - 370*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 3*l - l)*(0 - 2*l**2 + 0) + 388*l**2 - 177*l**3 - 388*l**2 + l**2 - l**2 - l**3.\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-14\/11)*(s\/s**(-12\/13))\/s assuming s is positive.\nAnswer: s**(93\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41849 is divided by 3027?\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -48.7, 2, 6\/7, -3.6, -0.3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-24)\/80*5\/6. Let w = 0.7 - -4.3. What is the second smallest value in 0.4, w, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and 474369105?\nAnswer: 474369105.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 207 - 207.00000708. What is j rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -3 - 4) + 1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 26\/6 + (-2)\/6. Let c be (-1)\/(-2 + (-1)\/1). Let p = -81\/4 + 235\/12. What is the third biggest value in d, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/2 + ((-15)\/10 - -2). Let i(g) = 4*g**b + 3 + 2*g**3 + 2 + 8*g - 3*g**3. Determine i(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2773, 5492, 8211, 10930, 13649, 16368?\n\"Answer: 2719*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9981135 is divided by 2960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 1 + 3 + (sqrt(112) - (sqrt(112) + 0 + sqrt(112)))**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 7 - 272*i - 10 + 3 to the form g + u*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 48907216 to the power of 1\/2, to the nearest integer?\nAnswer: 6993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3280 * -0.2.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i. Let o(n) be the third derivative of -n**4\/12 + 10*n**2. Calculate x(o(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -340*b - 303*b + 957*b - 291*b - 23 to the form l + y*b and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 122 + 72. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*l + 74*l + 143*l to v + m*l and give m.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**3*n**2*r*y**2 - 206*m**3*n*r*y - 2*m**3*n*y - m**3*r + 2*m**2*n**2*r*y - 3*m**2*n*r - 24628*m**2*r*y**2 wrt y?\nAnswer: -4*m**3*n**2*r - 49256*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k - 13. Let n be r(15). Let f(a) = -6*a + 14*a**n + 2*a - 20 - 17*a**2. Let h(o) = -o**2 - o - 7. Let w(u) = 3*f(u) - 8*h(u). Factor w(v).\nAnswer: -(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -99659 by -99659.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 166.4 - 166.400004. What is h rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -388.5 + 389. Let f = -0.06 - -1.06. Let m = -116 - -810\/7. What is the third smallest value in 0.1, m, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 24 = -5*b, 4*f - 39 + 10 = -5*b. Let m(d) = 5*d**2 + d + 151 + d - 6*d**2 + 9*d**3 - 152. Give m(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -172 - -105. Let b = 107 + c. Suppose -4*x = 4*x - b. Calculate the smallest common multiple of x and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.196 + -0.16. Is 1 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5*u - 9. Let p be t(7). Suppose p = -f + 20. Let x(g) = -g - 4. Give x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (v**3 - 3*v**3 - v**3)*(0*v - 2*v + 0*v) - 125*v**4 - 2*v**4 + 8*v**4 to the form m + o*v + c*v**3 + b*v**2 + r*v**4 and give r.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**4 + 6*y**4 + 2*y**4)*(-6*y + 5*y - 2*y).\nAnswer: -12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 7*k**2 - 2. Let r be a(2). Suppose -6*t - 2*u + r = -t, -3*t - 3*u = -21. Is (t\/(-6))\/((-12)\/11430) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(10\/35*7). Let q(z) be the second derivative of -1\/6*z**6 + y*z**3 + z - 5\/2*z**2 + 5\/6*z**4 + 0*z**5 + 0. Suppose q(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 24*o + 1. Let a(l) = 65*l + 2. Give -3*a(q) + 8*j(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**3 - a**3 + 4*a**3)*(42 - 52 - 29).\nAnswer: -117*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 176 - 171. Suppose -5 = -2*i - d*t, 3*i + 5*t = 9 + 1. Sort -0.4, -5, i, 1\/4 in ascending order.\nAnswer: -5, -0.4, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-3\/17))\/v*v)\/v**(-6\/7) assuming v is positive.\nAnswer: v**(242\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*y - 5*y = 10109, -5*i - y + 25262 = 0. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -527?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-76 - 32*p**2 + 76)*((-2*p + p + 3*p)*(-2 + 0 + 3) + 2*p - 4*p + 4*p).\nAnswer: -128*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13200 + -4?\nAnswer: -13204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -5, 93, 2, 2509, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9 and -12240005.\nAnswer: -12240014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -102, -241, -444, -717, -1066?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 2\/13  (b) -3  (c) -5.83  (d) -0.1118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4373518 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n + 1. Let p(z) = z + 6. Let s be (10\/45)\/(120\/540). What is s*p(c) - 2*h(c)?\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 35.4361g?\nAnswer: 35436100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1760 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 y = -5 + 9. Suppose 5*r - 79 = 2*i + 3, 28 = 2*r + y*i. Suppose 1 = 3*v + p - 1, r = -4*p. Let f(k) = k**3 - k**2 + k - 1. What is f(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32896 and 17476?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**2. Let z(a) = 37629876*a. Give l(z(v)).\nAnswer: -2832015135550752*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from plpl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2455*q**2 - 3844*q**2 - 1403 + 1403 to the form t*q + r*q**2 + v and give r.\nAnswer: -6299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**3 - 261*d**2 - 264*d = 0. What is d?\nAnswer: -1, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 87156753 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 408848483 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 226182 and 1788?\nAnswer: 452364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 AM and 7:01 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1421 > 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-3\/4)*(p*(p*p*p**(-6))\/p)\/p)\/(p*p**(-1\/2))**35 assuming p is positive.\nAnswer: p**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1788, -3572, -5356, -7140, -8924?\nAnswer: -10708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - 3*t**2 + 12*t - 22. Let c be p(-6). Suppose -3*l - 18 = -0*l. Let a be 14*-9*(l - -5). What is the highest common factor of a and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 29, 3.\nAnswer: -4, 0, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 6*d**2 - 9*d - 6. Let r be w(-6). Let h(n) = -4*n**2 - 219*n - 114. Let y be h(-54). What is the greatest common divisor of y and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*g - 4*h, 5*h - 5 = 2*g - 5*g. Let m be (6\/(-8))\/(21\/(-448)*-8). Let p = g + m. Sort 1, p, -1 in ascending order.\nAnswer: -1, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2222 divided by -6?\nAnswer: -1111\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 - 18. Solve 3*m + x = v, m = -5*v - 3*m - 21 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 - 21. Let l(o) = -o**2 - o - 4. Let k be l(x). Let u = k - -64. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3 + 261*m**2 + 1092*m.\nAnswer: -3*m*(m - 91)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-39)\/(-26))\/(95\/(20520\/1134))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 6 = u, 8*m - 11*m - 15 = -4*u. Suppose 11271 = u*g - 3*x, -3 - 1 = -x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3318*w + 3451 = 3115*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 82 + -59. Let z = n + -18. Let q = 0.5 - 0.4. Which is the closest to 2?  (a) -5  (b) z  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -397 + 343. What is the units digit of 3426\/9 - (-36)\/w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*z**2 + 11*z**2 + 8*z**2 + 3170*z.\nAnswer: -5*z**2 + 3170*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - (2 - 24) - (2 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.1 * -1.5.\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 23809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/17?  (a) 0.799  (b) 1  (c) -4  (d) -0.134  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 213576 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*(-7 - -6) + (4 - -398). What is the greatest common factor of 2075 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7616430 and 1523286?\nAnswer: 7616430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 881813.8 litres in millilitres?\nAnswer: 881813800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 348266 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -15*m**2 - 48*m - 9. Let h be q(-3). Let x be (16 + -1)*2\/6. Sort x, -5, h, -3 in decreasing order.\nAnswer: x, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 26 = m - 3*c, -2*m + 37 = c. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b**3 + 3*b**2 + 7*b + 13. Let i be j(-4). What is the greatest common divisor of i and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2821 = 41*v + 50*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 354595687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133234?\nAnswer: 2, 66617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 490, 559, 628, 697?\n\"Answer: 69*j + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.773763 rounded to two dps?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3235880*w**2 - 10579406*w.\nAnswer: -6471760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3166 - -31320?\nAnswer: 25121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Is 16632997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(7\/4)\/(m\/((m*(m*m\/m**(-2\/11))\/m*m)\/m)))\/((m**(-3\/11)\/m)\/(m*m\/(m*m**(-10)))))**(-17\/4) assuming m is positive.\nAnswer: m**(-11373\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1275 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 150064792 * 0.5\nAnswer: 75032396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6000, -9394, -12798, -16218, -19660?\nAnswer: -23130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5363 and 24393.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 107458*g**3 + 257*g - 256. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 890007?\nAnswer: 3, 296669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3539082774.\nAnswer: 2, 3, 589847129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*t - 2 = 0. Let f(v) = -v**2 - 12*v + 191. Let x be f(-22). Is t not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 3*o - 11, 4*s + 13 = -4*o - 19. Let p be (-2)\/o*81\/108. Suppose -p*g + 1\/4*g**2 + 0 = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27754255.06 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -3*r**2 + 300. Let l(g) = -2190*g**2. Calculate w(l(i)).\nAnswer: -14388300*i**4 + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -3*p + 5*s + 433, 3*p + 5*s - 687 = 0. What is the remainder when p is divided by 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of -r**3 - 16*r + 1\/2*r**2 + 5\/6*r**4 + 0. Is p(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 97.33 - 97. Let j = 151.488 - 152. Let d = r + j. What is d rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*u**4 - 862*u**3 - 706*u**2 + 862*u + 696 = 0 for u.\nAnswer: -1, -4\/5, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -u**7\/280 - u**6\/120 + u**5\/40 + u**4\/8 - 4*u**3\/3 + 5. Let m(l) be the third derivative of q(l). Factor m(g).\nAnswer: -3*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -9*b + 5. Let l(v) = -41*v + 13*v + 23*v. Calculate l(u(p)).\nAnswer: 45*p - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/2 + 11\/14. Let j be 14\/(-24) + 3\/12. Let x = -6.1 + 6. What is the closest to x in b, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 5*n + 3*s, 5*s = 5*n - 40. Let x = -6 - -78. Suppose 0 = 188*c - 194*c + x. Solve 4*v = v - 4*h + 22, h - c = -n*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -5*s + 1, -5*d = -d + s - 17. Suppose -3*j - d*j = -5*j. Factor 0 - 2\/3*r**3 + j*r**2 + 2\/3*r.\nAnswer: -2*r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 287*i - 293*i = -12. Solve -4*v + 0*k = 5*k + 8, -4 = i*v - 4*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 275, 555, 839, 1127, 1419, 1715, 2015?\n\"Answer: 2*o**2 + 274*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.43 - 0.91. Let j = -1.38 - d. Let s(i) = -i**3 - 4*i**2 - 2*i. Let v be s(-3). Which is the second biggest value?  (a) v  (b) j  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -137 * 1\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26556.\nAnswer: 2, 3, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.16757 + -14.\nAnswer: -16.16757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 283319411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2384*j*x - 33*x - 7 wrt j?\nAnswer: 2384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10128\/(-1055) - ((-64)\/(-10))\/(-4) - (6 - 97). Let i = -41 + 63. Suppose -4*m = -b + 68, -4*b + 306 = -2*m - i. Is b at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -68*a + 69*a + w - 7, -2*a - 4*w = -20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, m: 3, o: 4, h: 2, t: 1}. What is prob of picking 2 t and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.57057, 2, 1, 8, -2 in descending order.\nAnswer: 8, 2, 1, -0.57057, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56960 divided by -7120.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -2*v - 101, -4*v + 15 = 5*w + 220. Let i be ((-33)\/v)\/(2\/10). Let s = -131.4 + 128.4. Put 1, i, s in descending order.\nAnswer: i, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, y: 3, k: 3, p: 1, u: 3, x: 2}. What is prob of picking 1 k, 1 y, and 1 x?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -1528190*y - 21394654. Determine q(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m + m - 6*m. Let x(k) be the first derivative of -3*k**2 + 119. What is x(r(z))?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67280*z**2 + 67280*z**2 - 6*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/2, -13, -3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 4)*(0*z**3 + 0*z**3 - z**4) + 4*z**4 - 5*z**4 - z**4.\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 + 59828*s - 2874048.\nAnswer: (s - 48)*(s + 59876)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + (-4092)\/252 - (-6)\/(-14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -24*p**4 + 24*p**4 + 11*p**4 + (10*p**2 - 3*p**3 - 10*p**2)*(-5*p + 2*p - 3*p).\nAnswer: 29*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/5 - 9\/(-5)*-4. Let s be ((p\/(-2))\/(-7))\/((-1)\/(-2)). What is the remainder when s - 679\/(-21) - 1\/3 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(-182)*-1 - 49\/(15092\/132)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 AM and 5:15 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4752784*m + 7917231?\nAnswer: 4752784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 155 - 150. Let g = -1 - -6. Suppose w - 75 = -v*l + 4*l, -g*w - 63 = -l. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k - 17 - 7 = 0. Which is smaller: k or -9\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -27*4\/24*2*-1. Let i be -1 + 3\/l*3. Which is greater: -1\/14 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23985 + -14044. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6981215863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -620600 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {w: 2, e: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -218\/19 + 635\/57. Put -1.3, -1, i in increasing order.\nAnswer: -1.3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48293120 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 h = 170\/21 - 75091\/9282. What is the common denominator of -23\/8 and h?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 755139 a multiple of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + 21*o + 16. Let p be d(16). Let u(f) = 12*f + 10. Let q be u(6). Let m = p - q. Put m, 4, 0 in increasing order.\nAnswer: 0, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6495 (base 10) in base 2?\nAnswer: 1100101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - h - 2808 - 2738, 0 = -4*j - 2*h + 5552. What are the prime factors of j?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.7191 times 26.2?\nAnswer: -149.84042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -a**6\/6 + 27*a**5\/4 - 175*a**4\/2 + 250*a**3\/3 + 7500*a**2 + 4*a - 26. Suppose c(v) = 0. Calculate v.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/3 - 55807138*t\/3 + 778609162937761\/3.\nAnswer: (t - 27903569)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 take away -100320?\nAnswer: 100319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2328*n - 19 = -2*w - 2331*n, 0 = 2*w - 2*n + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -451 - -618. Let z = k + -156. Solve -4*m = -3*j + z, -3*m + 6*m = -2*j - 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 0.102, -388, 9?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18?  (a) 2\/3  (b) 3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((120\/(-18))\/(-5))\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f**2 - 4*f - 2. Let x be u(-2). Let h be -3*(1 - x\/6). Let o = -25 - -24.8. Sort o, -6\/7, h in ascending order.\nAnswer: h, -6\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (24\/(-2))\/4 + 9 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 483.977ml to litres.\nAnswer: 0.483977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/440 and 88\/15?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -26*o - 2011. Give d(-49).\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 288229 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - d = 5*q + 30, 0 = q - 5*d - 26. Suppose 0 = -q*j + 20*j - 2761. Which is bigger: -253 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1028 to 3 decimal places.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2252184 divided by -563046\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*h + 28*h - 95*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(-11*a**2 + 11*a**2 - a**3 + 1 - 1 - 2*a**3 + (-3*a - 2*a + 4*a)*(1 - 1 + 2*a**2)).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 39*w - 30. Let h(d) = 8*d - 6. Calculate 5*f(z) - 24*h(z).\nAnswer: 3*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 8 + 1 + -5 + (-47 - 2 - -8)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 5  (c) -26163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -3*y + 135, -24*y + 26*y - 135 = 3*u. Is -0.13 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-12)*2*210\/14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2\/9  (b) -1  (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 351\/23 + -1\/92. Find the common denominator of k and -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2576*q - 2572*q - 2*h, 0 = -4*q - 5*h - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.25 and 366.4949.\nAnswer: 367.7449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 576, 1565, 2554, 3543?\n\"Answer: 989*q - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13*15\/(0 - -5) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14 + -1253005?\nAnswer: -1253022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 11:04 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**4 + 1800*m**3 - 162000*m**2.\nAnswer: -5*m**2*(m - 180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - 1419?\nAnswer: -1419.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65356?\nAnswer: 2, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of (-1)\/(2 - 27990\/13992)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.395049 to one decimal place.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 665 + -606 - (-58 + -1)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57.71 - 52.71. Which is the closest to 2?  (a) -1\/5  (b) w  (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(1\/(-3)*(-11 + 14)). Suppose y = -4*h - 7*h + 110. Solve 0 = -2*l - h - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((299 - 256) + -2*(-2)\/(-16))*252?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13181037379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/5  (b) -5  (c) -2.728  (d) 3  (e) -3  (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + 8*m**2 - 13*m + 3. Let i be r(6). What is the remainder when 47 is divided by (20\/4 + i)\/((-4)\/(-34))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -1\/12*u**3 + 1\/24*u**4 - 1\/2*u**2 - 14*u + 11. Let n(y) be the first derivative of j(y). Suppose n(r) = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 0.09, 1, 2\/9?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 246*z - 225*z. Solve 5*o = 2*q + 20, z = 3*o + 2*o + 4*q + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/110*(-670)\/(-134)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.28 - -0.02. Let p be (1 - -123)*48\/(-76896). Let t = 3\/89 - p. Which is the nearest to l?  (a) 3  (b) t  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1038 + 1054 - 2092 + 3*w**2 + 570*w**3.\nAnswer: 570*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.5 + -2.3. Put h, -1\/2, 1\/2, -4 in ascending order.\nAnswer: -4, -1\/2, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (142\/(-6) + 9\/27)*-3. Let y = i + -65. Suppose -y*o + 14 = -1. Solve o*q + 20 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29809350 divided by 331215.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**4 - 3*m**4 + 4*m**4 + (1 + 2*m - 1)*(0*m**2 + 0*m**2 + 2*m**3) + 6*m**2 - 6*m**2 - 4*m**4.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*x**5 - 7\/4*x**3 + 5\/4*x - 1\/4*x**2 - 1\/4*x**4 + 1\/2 = 0. What is x?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 10*w - 4. Let s(u) = -2*u - 1. Determine f(m) + 3*s(m).\nAnswer: 4*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 2*s + 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8353 = 69*g - 0*g - 203. Solve 0 = -6*f + 94 - g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -111*w + 111*w - 97*w**3 + (17 + 3*w - 17)*(-w**2 + 2*w**2 - 4*w**2) - 1 - 2*w**3 - 1 + 1 to a*w + b*w**3 + s + c*w**2 and give b.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -4. Let z = 0.189276 - -2.810724. What is the third smallest value in z, g, 1\/12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-63)\/12)\/((-12)\/1504). Suppose -7*h + s = 140. Let i = h - 41. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -94 - 11.4697372\nAnswer: -105.4697372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 7*j**2 - 9*j - 1. Let t be y(-8). Let z = -4 + t. Solve -q - 6 = q + 4*s, 0 = q + z*s + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1177 = 27*d + 178. What is the highest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2092879?\nAnswer: 67, 31237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -235.99 - 10.\nAnswer: -245.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9463?\nAnswer: 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 6*h + 35 = 0. What is the lowest common multiple of 5 and 120\/(-18)*h\/(35\/6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.0894ml?\nAnswer: 0.0030894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -2*s**3 + 11 + 240*s**2 - 250*s**2 - 3 + 14*s. Let y be r(8). Let d be ((-6)\/4)\/(y\/256 + 6). Which is smaller: d or 49?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9219102 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -428 (base 14) in base 2?\nAnswer: -1100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 0, -26, -82, -180, -332, -550, -846?\nAnswer: -1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -161*s + 119. Let x be 119\/(7 + -2 - 4). Let k(n) = -8*n + 6. Determine x*k(r) - 6*f(r).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*v = 9 + 15. Suppose -4*y = -v - 22. Solve -12 = -5*s + 4*u + y, -u + 2 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1888.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 509 + -446.2. Let u = 57 - n. Let x = 5.80023 + u. What is x rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/1611 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 222\/(-4)*4\/6. Let j = h - -37. Let x(p) = -p**2 - 7. What is x(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59 is divided by 306\/9 - (3 + 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, l: 1, f: 2, j: 1, h: 1, v: 1}. What is prob of picking 1 h, 1 v, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5208054971 to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*h - 6*h - 8280 = 0. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 5. Let v be (-1 + -1)\/(a\/43). Calculate the common denominator of -31\/6 and 4\/12 + v\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1476.2 and 198.\nAnswer: 1674.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 330311 + 2*y**3 - 2860*y**2 + 182345 - 6*y**3 - 509792*y.\nAnswer: -4*(y - 1)*(y + 358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-9 - (-14 + 7))*(-30)\/120.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -253, 15, -5, 21, -1, 1.\nAnswer: -253, -5, -1, 1, 3, 15, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 + 1)*14\/(-189). Let t = 16\/3 + -5. Put j, t, -3 in descending order.\nAnswer: t, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s + 138 = 26 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 6, l: 3, c: 2, y: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*z**2 - 8*z**5 - 4*z**2 - 3*z**5 wrt z.\nAnswer: -660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, i: 4}. What is prob of sequence rii?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 3425699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-250))\/((-378)\/945)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4270 - -4252.48. Is -2\/3 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 441922 is divided by 147298.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-2)*128\/40?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -105.43423 and 0.4.\nAnswer: -42.173692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2115*q - 4234*q + 2121*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 25 - 1 - (-21 - -25). Suppose 0 = k + 3*k + 5*y - a, 0 = -3*k + 5*y + 15. Suppose -k*q - 5*r + 930 = 0, 12 + 3 = -3*r. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {v: 8, r: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0399421?  (a) -1\/2  (b) 1  (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -251*u - 1654*u**4 + 295*u**4 + 186*u - 10 + 4 wrt u.\nAnswer: -16308*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1650 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 1274976?\nAnswer: 1274976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of -7*l + 3\/2*l**2 - 4. Let z(q) = -2*q + 6. Give -4*t(a) - 5*z(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 366 + -366.147. Let r = x + 0.14807. Round r to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/2*(-43800)\/((-48)\/(-8)). Suppose 0 = 2*r - 4, 4*r - u = -4*q + 198. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 475*o**5 - 406*o**2 + 61*o + 7*o**2 - 107*o**2 + 2*o**3 - 60*o - 437*o**2 wrt o.\nAnswer: 28500*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/1022 and 13\/77.\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.779 rounded to 2 dps?\nAnswer: 2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of -a**8\/168 - 8*a**7\/15 - 7*a**6\/4 + 27*a**5\/5 + 109*a**2 + 12. Suppose j(z) = 0. What is z?\nAnswer: -54, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 7*w + 6)*(-w - 2*w + 4*w) + 12*w**2 + 221*w - 221*w.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -306*u**2 - 136 - 39 - 145 + 55 wrt u.\nAnswer: -612*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 12316 - 49b9?\nAnswer: 9519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*1\/6*(-7 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 + 4*k + 1. Let z(l) = l**3 + 7*l**2 + 6*l + 4. Let q be z(-6). Let g be m(q). Solve -2 = -2*h - 4*r, -4 = 4*h + 5*r + g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1449*g = -1412*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10039385 - 1941\nAnswer: 10037444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + f**2 - 3*f**2 - 2*f + 0*f**2 + f**2 - 1 + f**2 + 1 + (-3*f**2 + 0*f**2 + 6*f**2)*(-2 + 3 - 2).\nAnswer: -3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u\/(u\/u**5)*u)**(-4\/7))**(-5\/2)*u\/(u\/u**(-1\/16))*u\/(u*(u\/(u**(2\/11)\/u))\/u)*(u**(1\/2))**11 assuming u is positive.\nAnswer: u**(19771\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1273070.\nAnswer: 2, 5, 61, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 86661 and 317757.\nAnswer: 953271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 10:12 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 12*v**2 - 491*v + 12. Let p(c) = -9*c**2 + 490*c - 10. What is 6*p(m) + 5*q(m)?\nAnswer: 6*m**2 + 485*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*z**2 + 1638*z + 20*z**2 - 76*z**2 + 42*z**2 to the form r*z + s*z**2 + c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -260120.6.\nAnswer: 520241.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, y: 3}. Give prob of picking 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 40348400 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -4*i**3 - 3. Let w(z) = z**3 + 1. Let t be 24\/(-36) - 2\/6. Determine t*j(r) - 3*w(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -282137680 smaller than -282137676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of d**2\/2 + 11*d - 1. Let j = 559 + -555. Let r be o(j). Solve -5*v + 35 = r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3 or 6\/1019387?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (12\/24*(-1660)\/6*(-846)\/(-470))\/(-3)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 5*h - 2*h)*(-3 + 0 + 5) - 47*h - 385*h - 172*h.\nAnswer: -600*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 3*v + 36 + 4, -5*j = 2*v + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2210 - -318241\/144. What is the common denominator of 139\/120 and s?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 1, 0.3, -0.4, -4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10129 divided by 4622?\nAnswer: 10129\/4622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 7040272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 10948.4884 to the nearest integer.\nAnswer: 10948","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 5. Suppose -88 = -3*n + k. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(-35) - 34\/(-5). Let t = k + -3. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 greater than -1076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 8*n = -15, 126358 = 5*v - 4*n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 770644*d. Let j(w) = -5*w**2. Determine a(j(o)).\nAnswer: -3853220*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 62777230619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 855, -3 in descending order.\nAnswer: 855, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 261 divided by -3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.6 in 0.2, -3, 22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10141141132 - -1?\nAnswer: 10141141133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**3 - 2*l**2 + 2*l + 1. Let h be 24\/(-14) - 6\/21. Let q be t(h). Solve 0 = -2*p + q - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -175\/12 + 685\/12. Let b = -44 + o. Let a = 22.1 - 22. What is the third smallest value in a, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - d = -15. Suppose 32 = 5*w + 2*c, 8*w + 2*c = 9*w - 16. Let m be ((-8)\/d)\/(w\/(-160)). Calculate the greatest common divisor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 1:08 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.626839 rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -736*f + 46. Let b(m) = -65*m. What is b(g(i))?\nAnswer: 47840*i - 2990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -77 or 9?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 5*d + 27 = -0*d, -6 = -5*z + 3*d. Let x(p) = p**2 - 6 - z*p + 0*p**2 + p**2 + 2. Does 5 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34466857 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 211258*k*l - 656177*k wrt l?\nAnswer: 211258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 25 = -i, i + 3 = y + 4*i. Let j(u) = 956*u + 27 - 257*u - 7 - 11. Let m be j(y). What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-1 + -2 - 2 - -10)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 14621372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 - -18. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 500\/18 - 4\/(-18)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 1. Let h = 2293\/26 - 175\/2. Let k = h + -19\/65. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25\/3 - -8. Let i = 4.7 + -5.2. Sort 1\/2, i, g in descending order.\nAnswer: 1\/2, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24125844*r**2 + 4662031*r + 7 wrt r.\nAnswer: 48251688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-50)\/(45\/(-54)*6 - 1*-6). What is the closest to w in 1\/4, 0.4, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-2.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 71981346 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 5*f - 1 + 13 = 0, 3 = -3*d + 3*f. Let p = 0.09 - -0.51. Let t = p - 0.2. Which is the nearest to -3?  (a) d  (b) -3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1047228  (b) -8  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 240955 and 715.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 181\/3  (b) 5  (c) -1  (d) 4\/5  (e) 0.073  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 0*z + 280 = 0. Let d = z + -44. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1238, -2477, -3714, -4949, -6182?\n\"Answer: k**2 - 1242*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2)*-1*-3)**2 + -5*sqrt(8).\nAnswer: -10*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 69\/9*3 - 1. Suppose -j + o = 6. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaiaiiaiaiaii?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -62.865 - 0.135. Let p = t - -62.993. Let q = -0.215 - p. Round q to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n - 3. Let o(d) = 5*d + 16. Let w(b) = -2*b - 5. Let i be w(-8). Let r(j) = i*z(j) + 2*o(j). Let m(h) = 4*h + 3. Give 2*m(t) + 7*r(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/sqrt(2)*5 - (1 + sqrt(27)).\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 479611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/((sqrt(81)*-1)\/sqrt(9)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - u**2 + 11. Suppose 2*d - v = 4 + 4, 0 = -d - v + 7. Let q(b) = -b**2 + 6*b - 1. What is the remainder when n(0) is divided by q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of (136364\/20 - 4) + (-21)\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/5*(-3)\/6*-5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*c - 3 = 52 + 62. Sort -7, c, -1, -5, 4.\nAnswer: -7, -5, c, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**3 - 12291*i**2 - 3114968*i + 15882240 = 0.\nAnswer: -12032, -264, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3772116 is divided by 1119?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11761\/5 - -2357. What is the third biggest value in 4, q, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17845452, -17845451, -17845450, -17845449?\nAnswer: -17845448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 15*d - 32. Let y(c) = 92*c + 1179. Let r be y(-13). Determine n(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 9*h + 1. Let y be b(6). Suppose 2*i = i + 3*s, -5*i = -4*s - y. What is the remainder when ((-6732)\/363)\/(44\/(-242)) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15346, 8, -79, -4 in ascending order.\nAnswer: -15346, -79, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7166245 + 0?\nAnswer: -7166245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - 6 - (12\/6 - 15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 53, 0, -4 in decreasing order.\nAnswer: 53, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*g**2 - g - 82*g**2 + 38*g**2 in the form x + y*g + p*g**2 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + -35 + -5 + -5 + 4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 3:06 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 45*c + 2. Let s be t(6). Let w = s - 96. Suppose -u + w = 2*o + 3*u, 3*o - 209 = 5*u. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.027 - 3.16687. Let i = -0.14 - y. What is i rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 511216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from awwenaoz. What is prob of picking 1 a and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -57*r - 1833. Determine t(-52).\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Factor -541*d - 231*d + 14357*d**2 - 96 - 14381*d**2 + 192*d.\nAnswer: -4*(d + 24)*(6*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1874*f - 2570*f + 3606*f + 9499*f + 6114*f as x + d*f and give d.\nAnswer: 18523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from tuuttrrtu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -u**6\/180 + 49*u**5\/180 + 77*u**4\/72 + 13*u**3\/9 - 358*u**2 - u. Factor q(x).\nAnswer: -(x - 26)*(x + 1)*(2*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183 is divided by 65.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 8*v**3 - 2*v**2 - 2*v. Let p(c) = -735*c**2 - 719*c**2 + 16*c**3 - 4*c + 1450*c**2. Calculate 7*j(q) - 3*p(q).\nAnswer: 8*q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2, 1, 10, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 201253*v - 100567*v - 100686*v + 3887*v**2.\nAnswer: 3887*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-2) + 130\/4. Suppose 2*g - 3*i - b = 0, -83 = -5*g + 3*i + 22. Suppose -j - 14 = -74. What is the greatest common factor of g and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*w + 8*w + 60. Suppose 14*u + 3 = 17. Put w, 12, -4, u in decreasing order.\nAnswer: 12, u, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 52 + -107\/2. Let n = -28699\/6 + 4794. Let q = 32\/3 - n. What is the closest to 1 in q, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2475.1423 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -1043904.\nAnswer: -5219520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 110 + 130 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -45 (base 9) to base 12\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 8*x**2 + 2*x - 3. Let h be f(8). Let m = -6 + h. Let y = 0.059 - 0.259. Which is the second smallest value?  (a) m  (b) y  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-312)\/65*95\/(-988).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 115 = -3*q. Let x = q - -58. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9 + (-12 - -2))\/(-4). Solve -m*z + 1\/4*z**2 - 1\/2 = 0 for z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 610 a factor of 939400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3439487496 to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 - 3*k**2 - 4*k + 3. Let j be u(4). Let w be (-2)\/j*105\/(-10). Let q = 6 - w. Let i(o) = 6*o**2 - o - 1. What is i(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/143 and -47\/169?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 3*t - 10. Suppose -4*u + t = 5. Let y(a) = -277*a - 3585. Let o be y(-13). Solve -2*q - 8 = u*w, -5*q - w - 2*w = o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -c**5\/3 + 10*c**4\/3 - 32*c**3\/3 + 26*c**2\/3 + 11*c - 12 = 0?\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (0 - 2 - (-16 - -19)) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 161527605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 596\/(-745)*175\/(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -338*i - 170*i - 3023713 = -30665009. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 2265 - 2211 = 0. Calculate the remainder when 187 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 548, 1078, 1606, 2132, 2656, 3178?\n\"Answer: -i**2 + 533*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = n - 40, 5*n + 46 = -2*k + 238. Solve -n + 26 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 342 = 3*o - 4*s, -2*o - 17*s + 211 = -14*s. Let y = 111 - o. Solve -4*n + 9 = y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of 0*o**3 - 2\/7*o**8 + 0*o**7 - 17\/12*o**4 + 0 + 0*o**2 + 0*o**5 + 0*o**6 + 11*o. What is the third derivative of f(j) wrt j?\nAnswer: -1920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*2 - 9\/3. Let n be (4\/(-6))\/(y\/(-3)). What is the second derivative of 2 - n + 3*k**2 - 4*k + 0 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v**2 - 3*v + 2. Let q(o) = -9*o + 25. Let u(t) = 11*t - 26. Let n(i) = 5*q(i) + 4*u(i). Let k be n(24). Calculate z(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/(-91)*17\/((-459)\/(-117))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -5*x - 8. Let y(m) = -4*m - 6. Let w(k) = -3*d(k) + 4*y(k). Let j(s) = 2*s**2 - 11*s. Determine w(j(v)).\nAnswer: -2*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, -1, 21 in decreasing order.\nAnswer: 21, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*r + 24*r + 19*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*j**3*l**2*p**3 - j**3*p + 88*j**2*l**3*p - 3*j**2*l*p**2 - 226*j*l**3*p**3 wrt p?\nAnswer: 30*j**3*l**2 - 1356*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/8)\/((-3)\/(-3)). Let h = 0.1 - 0.1. Let z = h + 0.5. Which is the biggest value?  (a) z  (b) -0.2  (c) -3\/5  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2780193 is divided by 124.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 8, n: 2, u: 2, o: 2, p: 2}. Give prob of sequence un.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 95809 + s**2 + 0*s**3 + s**3 - 393*s**4 + 0*s**2 - 95811 - 2*s**3 in the form c*s + l*s**2 + o*s**3 + v + k*s**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d + 24bc2?\nAnswer: 24bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/74*1)\/((201312\/192)\/(-233))?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 2.7408nm?\nAnswer: 0.0000000027408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12387459840 + 143942283453519\/11620. Let w = -1\/2324 + d. Let j = 47\/4 + -12. What is the common denominator of w and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -963.560232 - -195.4.\nAnswer: -768.160232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 5) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**2 - 74*z + 182. Let p(x) = 6*x**2 + 143*x - 365. Let g(d) = -5*i(d) - 2*p(d). Factor g(c).\nAnswer: 3*(c - 2)*(c + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - bb781a1?\nAnswer: -bb781a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3017, 11337, 25215, 44645, 69621, 100137?\n\"Answer: -v**3 + 2785*v**2 - 28*v + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 33\/(-2) - (-7)\/(-14). Let l = h + 17. Suppose 0 = 3*z - 5*g - 25, l = 2*z - 4*z + 3*g + 16. Calculate the remainder when 13 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 512375136?\nAnswer: 2, 3, 7, 13, 89, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 0 + -4 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 399643366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 2096 = 4*v, -5*v - 4*s + 2023 + 602 = 0. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1923966 to the nearest 1000.\nAnswer: 1924000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 4*g + 1. Suppose -2*m + 4 = -0*m. Determine d(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 22\/231*28\/6*(-3)\/(-2). Let t(r) be the first derivative of 0*r**2 - 8*r - 9 + x*r**3. Factor t(q).\nAnswer: 2*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -3*i - 2*n + 13, 3*i = 3*n + 72. Solve 3*j - 3*b = 18, 0 = 4*j - 4*b + b - i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1511 or 43?\nAnswer: 1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18.0448*-0.1.\nAnswer: -1.80448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 412 = -3*b - 31, -b + 5*w - 121 = 0. Let a = b + 149. Solve 2*z - a = -13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-1*sqrt(130)*-2)\/(4*sqrt(10)*2 + sqrt(10)) + 0)**2.\nAnswer: 208\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of i**4\/36 + 185*i**3\/9 - 1483*i. Factor h(s).\nAnswer: s*(s + 370)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.7 - 1.89. Which is the biggest value?  (a) x  (b) 3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(605) - (0 + sqrt(605)) - sqrt(605)) + -3 - (sqrt(605) + (1 + 0 + sqrt(605) + sqrt(605) - sqrt(605))))*-2)**2.\nAnswer: 1056*sqrt(5) + 21844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 take away -36.4?\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 5*f**2 - 35*f + 180. Let g be l(5). Solve 5*z + g = -3*d - 8, 4*d - 26 = 2*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -5*q - 3*d, -2*q + 2 = -5*d + 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -4 + ((sqrt(198) - -1*sqrt(198))\/sqrt(9) + sqrt(22))\/(sqrt(11) + sqrt(66)\/(sqrt(18)\/sqrt(3))) + (sqrt(256)*2)\/(sqrt(1152)*1))**2.\nAnswer: -91*sqrt(2)\/3 + 1051\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((40\/805)\/4)\/((-1908)\/(-126) - 15)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*k + 13*k + 780 - 648 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 161*x - 1402. Determine z(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 47041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 + -22. Let a(w) = -w**3 + 7 - 80*w**2 + 154*w**s - 74*w**2 - w. What is the units digit of a(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = i - 6*d - 9, i - 5*d = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 2*n - 3*h - 9, 15 = 3*n + 3*h. Suppose 3*m = 26 - 71. Let i be 2*(2 + m\/n). Is 2\/15 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 + 20*z + 33. Let d be x(0). Calculate the greatest common factor of d and 759.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2139.1 + -2139. Let b = 65\/12 + -23\/4. What is the closest to h in -24, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + 18 + 28 + 37.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/30)\/((-555)\/(-45)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 65677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 2807\/3?\nAnswer: 2807\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1060\/3816)\/(1 - (-21)\/(-27)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 41 - 31. Let q be (-12)\/(-3 + 0 - -2). What is the highest common factor of q and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 9, k: 4, m: 6}. What is prob of sequence mkm?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, e: 4, p: 2, x: 4}. What is prob of picking 3 q and 1 p?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -525 + -15.6?\nAnswer: -540.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - -67. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of -18*w + 0*w**2 + 5\/12*w**4 - 7\/6*w**3 + 0. What is the second derivative of d(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 1 = z, 497*z = 492*z + 3*f + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 245773.\nAnswer: 11, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 + -14. Let j be (-92)\/(-28) - (-4)\/(-14). What is the smallest common multiple of -6 + j - -2 - -6 and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3*z + 2)*(-841*z**2 + 841*z**2 + 65*z**3).\nAnswer: 195*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(25\/100 + 56\/480).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 3*y - 9 = 0, 20*n = 17*n + 3*y + 21. Let t(k) be the second derivative of 25\/36*k**4 + 5\/9*k**n + 1\/6*k**2 + 2*k + 0. Factor t(a).\nAnswer: (5*a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10548 + 10557.8352. Let y = s - 9.8. Let u = 0.03141 - y. What is u rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 169*m**2. Let i(y) = 2*y**2 + y - 18. Let u(t) = 16*t**2 + 9*t - 162. Let w(j) = 18*i(j) - 2*u(j). Give g(w(l)).\nAnswer: 2704*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1200739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y**2 - y**2 + 0*y**2)*(5*y**2 - 4*y**2 + y**2 + 3*y**2 - 3 + 3 + (-y - 3 + 3)*(9*y + y + 5*y) - y**2 + 3*y**2 + 0*y**2).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 468807963 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -20\/7  (b) -8  (c) 38\/7  (d) 0.2  (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -39849273, -79698547, -119547821, -159397095, -199246369?\n\"Answer: -39849274*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 604503?\nAnswer: 3, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/18)\/((6\/(-6))\/(6\/2)). Let p = -2 - -1. Which is the closest to -22?  (a) 4  (b) p  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1288279 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y**4\/7 + 125*y**3\/7 - 501*y**2\/7 + 248*y\/7 + 380\/7 = 0. Calculate y.\nAnswer: -19, -5\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((183\/9 - 2) + -5)*3. Suppose -41 = -p - s. Let k(z) = -5*z**3. Let v be k(-1). What is the greatest common factor of p and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -29640, -29650, -29674, -29718, -29788, -29890?\n\"Answer: -d**3 - d**2 - 29638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 0*b + 2*b - 16, -h - b = -7. Let z(g) be the first derivative of -2*g**3\/3 - g - 5. Give z(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/41 + 83\/820. Calculate the common denominator of y and -97\/386.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16110 and 260982.\nAnswer: 1304910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -5, -0.3, 4, -25 in descending order.\nAnswer: 4, -0.3, -2\/3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 - -2762810302?\nAnswer: 2762810363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -10 + 12*g - 28 - 9*g - 1. List the prime factors of b(23).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -410643870 by 11732682.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*x = 19*x - 20. Suppose 5*p = -h + 24, -h = 5*p - x*h - 4. Solve p - 2 - 2*r**2 - 78*r + 78*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 8*z + 16. Let h be (6\/z)\/((-5)\/3830). Let c = h - 249. What is c rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4099018.1 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -1314837.\nAnswer: -2\/1314837","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*p + 0*p - p)*(2 - 1 + 0) - p - p + 7*p)*(-p - 3*p + 3*p + 2*p - 3*p + 2*p + (2*p + 0*p + 0*p)*(0 + 1 - 3) + 2*p + 0 + 0 + 12*p + 2*p - 6*p).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52 = -4*g, 3377*g = 3*x + 3373*g + 64 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1047 + -4187\/4. What is the nearest to -4 in 4\/11, 1\/3, 6\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -15873*g**2 - 11*g + 12. Suppose a + 4 - 3 = 0, -5*v = 5*a - 110. Suppose v = 5*f + 3. Let d be q(f). Round d to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 524\/205 or 2?\nAnswer: 524\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38 - -16. Let m be (-2)\/(-5) - h\/(-30). Let l = 864\/7 + -123. Which is the smallest value?  (a) l  (b) -2\/5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddvvd?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m. Let h(l) be the second derivative of -l**5\/20 - l**4\/6 + 2*l**3\/3 + 251*l. Let w = -33 + 32. Give w*h(c) + 3*k(c).\nAnswer: c**3 + 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c - 93*c - 282 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 60 divided by 42\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjtujjrljlrrrijjjit. What is prob of sequence iji?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 923960?\nAnswer: 2, 5, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -56920 divided by 7115\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/(sqrt(4)*-3)*2.\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-54)\/9*(66\/4)\/(-3). Suppose -18*i - 3 = d. Sort -1, 5, i in ascending order.\nAnswer: i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, w: 4, a: 1, h: 1}. What is prob of sequence ab?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 40.45849 decades?\nAnswer: 404.5849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*k**2 - 6996*k**3 + 6990*k**3 - 100*k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -753, -771, -803, -855, -933, -1043?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*k**2\/7 - 37*k + 13170\/7.\nAnswer: -(k - 30)*(6*k + 439)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 2 + 2)*(21 - 15 + 100) - 3 + 3 + 2*j + (5*j - 2*j - 2*j)*(13 + 1 - 3).\nAnswer: -93*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9407 = -38*w - 5907. Let a be 4\/26 - (-62)\/w. Let s(p) = -p + 8. Let k be s(6). Solve 0 = -k*g - a + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2587, -5182, -7777?\nAnswer: -10372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 4*f = -60, -39*f = k - 35*f - 27 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 238*c = 150829 + 88463 + 439484. What is the highest common factor of c and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16.9 + -17. What is the biggest value in 0, m, -0.05, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 32 = 18*x + 21*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z**4 + 10*z**4 + 574*z - 25*z**3 - 474*z + 32 + 4*z**2 = 0. What is z?\nAnswer: -8, -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**8\/112 + 4*j**7\/35 + 9*j**6\/40 - 9*j**5\/10 + 8372*j**2. Factor u(d).\nAnswer: 3*d**2*(d - 1)*(d + 3)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2445*w**2 + 1498*w**2 + 3729*w**2.\nAnswer: 7672*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2154 or 2156?\nAnswer: 2156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -12389572, -0.2 in descending order.\nAnswer: 2, -0.2, -12389572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 460000 = -p. What is p rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*i**4 + 21 - 13*i**4 - 12*i**4)*(0 - 2 - 4).\nAnswer: -6*i**4 - 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**3 - 6215*b**2 + 2928*b**2 + 3287*b**2 + 54.\nAnswer: 4*b**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -11*f - 35. Let m(j) = j**2 + 9*j + 1. Let h be m(-6). What is the units digit of l(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7358 + 3.\nAnswer: -7355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1024031400 (base 6) to base 8.\nAnswer: 51235230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 17. Let g(l) = -2*l + 13. Let t = 184 + -183. Let q(f) = -f - 8 + 2*f + t. Give k*g(n) - 11*q(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-117)\/(-1794)*(-7)\/(63\/12)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 10 = -p - 0, -10 = -3*x - 2*p. Let y be 17\/(-4) - (-48)\/(-64). Let z(d) = -9*d**2 + 59*d + 107. Let a be z(8). Sort 1, a, x, y.\nAnswer: y, 1, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17162071.26 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 773*k - 775*k + 34 = 0. Suppose -4*d = -3*n - 89, 2*d - 4*n - k = 25. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*(-2 + 2 - -1). Suppose v - 27 = 2*p, 3*v - i*p - 95 = -26. Find the common denominator of 31\/2 and 66\/120*(v + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.2, -5530, -0.5, 3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 2)*(5 - 5 - 1)*(-26 + 5*y + 26) + (0 + 2 - 1)*(-1 + 1 + y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -6*f**3 - f**2 - f - 1. Let m(b) = -b + 2. Let d be m(3). What is the units digit of u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26417500 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 w when three letters picked without replacement from taaw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.108 rounded to two dps?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**3 - 9*z**3 - 3*z**3)*(-26*z - 26*z + 14*z).\nAnswer: 418*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 141409500 rounded to the nearest one million?\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 7:47 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 255841 + 4*h**4 + 67725 - 1072*h**3 + 291584*h - 27630 + 69648*h**2.\nAnswer: 4*(h - 136)**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2701 = -5*y - 4*t, -3*y - 3*t + 538 = -2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 22553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1055 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 229\/4 + -57. Let t = 0.8 - 1. Let j = -0.4 - t. Which is the closest to u?  (a) -0.1  (b) 4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -3*a**2 - 8*a + 7. Let b be i(-3). Let p be (-55)\/(-11) - -6*(-2)\/b. Find q, given that -27\/4*q**p - 9*q - 3 = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6)\/(-4))\/((-54)\/(-18)))\/(2\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4600)\/58750)\/(-92)*-10.\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(18\/(-15)) + 2458 + -3. Suppose 29*d - 25*d - w = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-65.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*c, 3*p - 98 = -2*p + c. Which is smaller: 22 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(1\/2)\/(w**(2\/9)\/w)*(w**(-17))**14 assuming w is positive.\nAnswer: w**(-4261\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4045 divided by 5.\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -12, -117 in ascending order.\nAnswer: -117, -12, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 5*f - 98. Let z(m) = -2*m - 1. Let a(y) = -r(y) - 6*z(y). Let c be a(-14). Solve c = -2*k - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4\/5 + 9*n**3\/5 - 12*n**2\/5.\nAnswer: 3*n**2*(n - 1)*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 4 = 13. Let y be ((-1)\/(-1))\/(1\/3). Let p = y + m. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2158 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 60*u - 70. Let t(f) = -20*f + 12 + 15 - 4. Let c(x) = 4*m(x) + 11*t(x). Differentiate c(s) wrt s.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2. Let m(g) = 40*g**2 - 2*g - 120. Calculate m(o(z)).\nAnswer: 160*z**4 + 4*z**2 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 932 - 913. Solve -40 - 36 = -g*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.158 + -0.168. Let s = d - -0.01. Let v be (1 - -1) + 3\/(-3). Which is the nearest to v?  (a) 0.5  (b) 1\/7  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27195 is divided by 9058?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 3*c + 17 = 0, 62*n = 58*n + c + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 + s + 11. Suppose -4*b = 5*m - 32, -2*m = -3*b + 4*b - 11. Suppose b*z = -0*z. Is c(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2624*w + 1252*w - 31008 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, x: 3}. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6228865 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3*c. Let p(z) be the third derivative of -180*z**2 + 2\/3*z**4 + 0 - 1\/6*z**3 + 0*z. Determine 22*j(i) + 4*p(i).\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/((d\/((d*d\/(d*d*d**(-2\/17)))\/d))\/d)*d*d**5*(d*d\/d**(-7))\/d*(d\/((d**(1\/6)\/d)\/d*d))\/d)**(-23) assuming d is positive.\nAnswer: d**(-37421\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/6)\/((-21)\/(-42))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.062 + 86.3\nAnswer: 86.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -3*u + 24, u + 12 = 4*k + k. Let t(d) be the third derivative of u*d**2 + 0*d + 0 - 1\/6*d**4 + 1\/3*d**3 + 1\/60*d**5. Determine t(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2. Suppose 24*r - 19*r = -2*w, -2*r - 4*w - 16 = 0. Let y(o) be the first derivative of 5\/2*o**2 + 0*o + r. Calculate y(p(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -9 + z + 1 - 2. Let r be p(8). Let l = -0.1 + -0.2. Which is the smallest value?  (a) r  (b) 1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-5) + (-26)\/65. Let n(o) be the first derivative of h*o - 5\/2*o**2 + 14 - 2*o**4 + 0*o**3. What is the second derivative of n(z) wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.586122ml?\nAnswer: 0.000586122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7382 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34*f**3 + 1 + 7*f**2 + 16*f**3 - 35*f**2 + 19*f**3 + 65*f**4 - 21*f**4 to the form c*f**2 + n*f**4 + y*f + t + b*f**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2, 0, -1, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4*s - s + 2*s)*(-3 - 3 + 3) - 1 - 2*s + 1 - 2 + 2 + s)*(0*s + 2*s + s) to a*s + n*s**2 + j and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 31*h**2 + 24*h - 91. Let j be g(-32). What is the greatest common divisor of 1221 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -2906369\nAnswer: -581273.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -5*h**3 + 8*h**2 + 6*h - 6. Let d(k) = -2*k**2 - 85*k + 643. Let f be d(-49). Let g(c) = -4*c**3 + 7*c**2 + 5*c - 5. Give f*g(r) - 5*v(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -161517 (base 8) to base 14.\nAnswer: -172c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 150 divided by 17?\nAnswer: 150\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - d**2 - d**2 + 10*d + 20 - 4*d. Let a be f(8). Factor 7\/4*u**a - 7\/4*u**2 + 0 - 1\/2*u**3 + 1\/2*u.\nAnswer: u*(u - 1)*(u + 1)*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 AM and 12:50 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 575, 548, 511, 458, 383, 280?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 490841 is divided by 2836?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.5, -192, 0, 136 in descending order.\nAnswer: 136, 0, -0.5, -5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 8) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 44\/304 + 4\/(-16). Which is the smallest value?  (a) 0.1  (b) v  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20c (base 13) in base 8?\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1722 + 2771. List the prime factors of n.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -4  (b) -193  (c) 0.5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 4*r**2 + r + 2. Let m(p) = 14336*p**3 - 49152*p**2 - 12288*p - 24576. Give m(j) + 12288*w(j).\nAnswer: 2048*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3151 and 9179?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 7*p**2 + 6*p + 4. Calculate m(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 951569 to the power of 1\/2, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 41 = 6*i + 5*v, 0 = 2*i - 2*v - 16. Solve -i*y - 39 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -72*p - 4. Suppose b = -5, -4*q - 7*b + 2 = -9*b. Is 7 a factor of k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -43, 0.03, -1\/3, 0.1, 1\/297, -3\/4, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n\/n**22)\/n)**22 assuming n is positive.\nAnswer: n**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (5 + -4 + -1)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 130226750 to the nearest one million.\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -403b?\nAnswer: 403b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u - 15*u**3 + 6 + 8*u**3 + 9*u**3 to q + g*u**2 + p*u + y*u**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 185 + -182. Let k = 4.01 - 0.01. Sort k, 0.2, y.\nAnswer: 0.2, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from evcvvuevuuvue. Give prob of picking 1 e, 1 v, and 2 u.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, e: 12}. What is prob of picking 2 e?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/6 and -101\/3851136.\nAnswer: 3851136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 7 = -3. Solve 1 = -g*z - 4*s, -4*s - 2 + 10 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 452\/(-2*1)*(-11 + 17). Let g = i + 2870. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 101837, 203785, 305753, 407741?\n\"Answer: 10*j**2 + 101918*j - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(567) - sqrt(567)*2)\/(-2*(sqrt(225) - sqrt(9)))*2*2.\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h + 137 = 89. Let d(q) = -4*q - 3. Determine d(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16047 is divided by 5044.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 5)*(27*i - 2*i**2 - 27*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -321223230 (base 4) to base 2.\nAnswer: -111001101011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 5*o**2 - 134*o + 1342. Determine j(12).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 729 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23982 = 49*f - 25060 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.157677*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*20\/((-420)\/77).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -265*k**2 + 17*k + 29. Let c be l(-2). Is 13 a factor of (-13)\/(-24 - -11) - c\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43*q**4 + 14 - 14)*(1 + 1 + 0).\nAnswer: 86*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14520053651 + 4?\nAnswer: -14520053644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1*189\/(-18)*84\/54 and 71\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/6 - 1523*h - 6958587\/2.\nAnswer: -(h + 4569)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w - 4*z - 71 = w - 17, -11*w + 5*w - 24 = -4*z for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -20070 > -160563\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-2)*24\/9. Let p(n) = -n + 6. List the prime factors of p(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 2 = 3*t, -48*m - 2*t = -51*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 8*m - 100. Let n(l) = -l + 1. Let g be n(-3). Suppose 0*r - 5*r + m = -v, -3*r = -2*v - g. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*(-6)\/21*7. Let u = 8 - p. Suppose 0 = -4*g + 4*m + 64, -u*g + 5*m + 9 + 14 = 0. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 plus -11047773?\nAnswer: -11047816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -34671972\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of 21\/2*b**2 - 5 + 3\/2*b**6 + 0*b**3 + 6*b - 6\/5*b**5 - 15\/2*b**4. Solve j(o) = 0 for o.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(720) + (sqrt(720) - 3*(sqrt(720) + 2 + sqrt(720))))*4 + -4.\nAnswer: 44 + 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of w**6\/3060 + w**5\/510 + 32*w**3\/3 + w - 44. Let f(l) be the third derivative of o(l). Factor f(h).\nAnswer: 2*h*(h + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12495 and 37485?\nAnswer: 37485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y**2 - 55*y. Let n(v) = -3*v - 13. What is s(n(b))?\nAnswer: 27*b**2 + 399*b + 1222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 24 = 11*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 834.3 take away -0.07?\nAnswer: 834.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -3. Let w(k) = 8*k + 149. Give 6*p(v) - w(v).\nAnswer: -8*v - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -385 + 1379601?\nAnswer: 1379216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 2982\/702817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2478429?\nAnswer: 3, 113, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 81.\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*u + 107*u + 177 = 0. Is 57 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 5938857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**3 + 480891*l**2 - 19271105709*l - 19271586603.\nAnswer: -3*(l - 80149)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 2*f + 61 = -5*g, f = -4*g - 2. Calculate the lowest common multiple of (-2 + -10)\/1*555\/(-222) and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 21 + 1, -3*i + 2 = -2*w. Suppose 7500000 = -i*m - m. What is m rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210852.69 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from bzc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(-2))\/((-1)\/(0 - -2)). Let q be ((-21)\/56)\/(3\/d). What is the biggest value in q, 1, -4\/27, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**1)**(8\/15))**(1\/10)*(w**(-1\/4))**(-30)\/(((w*w**(-4\/9)\/w)\/w)\/(w*w\/((w**1\/w)\/w)*w)) assuming w is positive.\nAnswer: w**(5849\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, g: 2}. Give prob of sequence nn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of y**7\/56 - 12*y. Let q(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 122384338*s**3 + 298285435*s wrt s?\nAnswer: 734306028*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, i: 1, m: 4}. What is prob of sequence rr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0  (b) -0.5  (c) 0.5  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 45*o**4 + 113*o**3 - 58053*o**2.\nAnswer: 1080*o + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 38, 39, 24, -13, -78?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 4*z = -24, 5*z - 8*z = -4*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y + 8*y + 2*u = 4, -5*u = -2*y - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/((-120)\/(-32)))\/(22*(-4)\/(-550)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28*10.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 12:43 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*(-2 + ((-16)\/(-6) - 2)). Is -10 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16536*b - 6906*b - 984564 = 0 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of -4*z**3\/3 + 5*z. Calculate x(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + 0 + 0\/4. Let x(j) = 49*j + 1. Calculate the remainder when x(f) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 786\/(-132) - (-5 + 1) - -2. Let z = -5\/11 - n. Which is the second smallest value?  (a) -0.12  (b) z  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*j + 35*j - 144 = -67*j. Let g be 84\/(-10) + 2\/5. Sort -1, j, g, -5 in decreasing order.\nAnswer: j, -1, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*f + 8 = 0. Suppose f*p = -3*p - 80. Let o = p + 23. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243*n + 20*n + 1038 + 13166 = -5*n for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 - (5 - 6) - -971. Suppose 6559 = 13*y - u. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149*t + 151*t - 301*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/170 and -101\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5839.222ns?\nAnswer: 0.005839222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 + 6*f**2 - f - 5. Let o be r(-6). Let l be (-2)\/o*12\/8. Suppose 0 = 5*z - 2*j, -5*z + 3*j = -1 + 6. Put -1, z, l in descending order.\nAnswer: z, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -48060184 or -48060174?\nAnswer: -48060174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((0 + 1)*-53)\/((-60)\/480)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -7. Let u = 4 + f. Suppose 49 = 3*c + u. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 10:47 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 666 - 112. Suppose v + 26 = 4*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeleeeenelellnl. What is prob of sequence eee?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -54, -0.2, 5, 4.\nAnswer: -54, -0.2, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 6:09 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7000 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/13  (b) -1.56  (c) 30  (d) -4  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, c: 2, g: 1, j: 2, d: 4}. Give prob of picking 2 c and 2 q.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 4. Suppose o - 20 = -w*o, 2*k - 3*o = -7. What is the lowest common multiple of k and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 119 - 117. Suppose 0 = 5*m + 2*r + 150 - 530, -146 = -2*m - h*r. Suppose 0 = 6*z - 90 - m. What is the greatest common factor of z and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Simplify (-1 + sqrt(275) + sqrt(11))*-2.\nAnswer: -12*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7110 + 29510 = 2*y. What is y rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2552 - -2552.15. Let n = 0.12 + 0.38. Let l = 3 - 2.9. What is the nearest to l in o, -3, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/252 and -193\/630.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 282474*n**2*x**2 - n**2*x - n*x**2 - 96468*n - 4*x wrt x.\nAnswer: 564948*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 470656 - 470654. Let w = 9 + -6. Let n(t) = -7*t - 1 + 0 + w. Let j(q) = -3*q + 1. Determine d*n(y) - 5*j(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -a + 2*c - 0*c, 3*a - c + 14 = 0. Let y = a - -13. Suppose -2*t = 3*s - y, -3*s - t + 7 = -7. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of 0*t**3 + 1\/220*t**5 + 0 + 0*t**2 - 5\/132*t**4 + 31*t. Factor p(z).\nAnswer: z**2*(z - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkchbkckcgkckygc. Give prob of sequence kyhc.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2338, -2310, -2282?\n\"Answer: 28*n - 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 18*s**2 + 31*s - 14. Suppose 4*f - 2*z = -54 - 10, -z = f + 16. Let t be b(f). What is the greatest common divisor of t and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9)\/(-3 + 5\/((-50)\/(-29))) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vqhihcp. Give prob of picking 1 q, 1 v, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36*a**2*n**2 + 901*a**2 + 9*a*n**2 + 2*n**2 - 3*n wrt n?\nAnswer: 72*a**2 + 18*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -12*j**3 - 2*j**2 - 6*j + 2. Let h(o) = -18*o**3 - 3*o**2 - 9*o + 3. Give 5*h(a) - 7*r(a).\nAnswer: -6*a**3 - a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 + 32.38. Let j = f + 10.62. Which is the closest to 0?  (a) -1\/3  (b) 3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 5*w - 9. Let i be l(2). Let x(h) = -h**3 + h**2 + h + 1. Let s(o) = o**3 + o**2 - 2*o + 1. Give i*x(z) - s(z).\nAnswer: -2*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1913, -0.4, -8\/91?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.05 from 14185872544.\nAnswer: 14185872544.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from udswwwtstddwwduwtdsd. What is prob of sequence dssd?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 192*z**4 - 590*z**3 - 148583*z**2 - 2*z wrt z?\nAnswer: 4608*z - 3540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t**3 + 3*t**3 + 3*t**3)*(t + t - 3*t) - 5*t**4 + 3*t**4 + 6*t**4.\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-2730)\/(-234)*(-4)\/(140\/(-45))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**2 - 26*l + 21. Let q be f(-13). Calculate the greatest common factor of 168 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 4*q + 1. Let f be y(1). Let l = -20492 + 20492.31. Which is the second biggest value?  (a) f  (b) 0.4  (c) 2  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 6, j: 1, w: 5, h: 2, x: 5}. What is prob of sequence hhjm?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 + 213*l - 213*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 86*10\/(1 - 181) - (-8)\/(-36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 71, 158, 313, 542, 851, 1246, 1733, 2318?\n\"Answer: t**3 + 28*t**2 - 4*t + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/(-55) + 795\/4752 and 139\/120?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 35371 + -34572?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qxnxmqqmbbnmqm. What is prob of sequence mbxn?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3169966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6972 <= 6966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50\/(-1325) + 7250\/(-18550)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14044819 take away 945.8?\nAnswer: -14045764.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*g + 23*g + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11513 + -9212. Calculate the greatest common divisor of 78 and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-a - 2*a + 6*a)*(4 - 4 + 1) - 16 + 16 - 9*a + 3*a + 0*a - 2*a)*(3*a**2 - a**2 + 0*a**2) to the form f*a**2 + u*a + h + c*a**3 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-2)*-1*3\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 - 2715*i + 42160.\nAnswer: 5*(i - 527)*(i - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 36576067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6293555585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -5*a - 128, 0 = 2*a + 17 - 15. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 0*n + 4 + 1 + 4*n**2 - 8*n. Suppose -2*d - 76 = -4*h, -15*d + 14*d = -5*h + 89. Calculate the remainder when c(6) is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*z + 4 + z**3)*(115 - 28 - 16 + (1 + 0 + 1)*(-5 + 4 - 1) + 0 + 0 + 2 - 161 + 72 + 59).\nAnswer: 39*z**3 - 78*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -61*v + 1. Let k be x(-1). Let o = k - 6. Calculate the greatest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 117 and 3709836?\nAnswer: 3709836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92*u - 59*u - 79*u.\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*v - 953 + 925 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (5*(4*sqrt(7)*-2)**2 - (-6*(0 + sqrt(7) + sqrt(7) + sqrt(7))*2)**2) + -1.\nAnswer: -6829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2268966 - -25.\nAnswer: -2268941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -89578 or 3\/10?\nAnswer: -89578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1989 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 8*i**2 - 2*i + 5. Suppose 0 - 10 = 5*d. Let c(s) = -17*s**2 + 5*s - 9. Let k(w) = d*c(w) - 5*f(w). Differentiate k(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 0*z + 3243 = 5*v, 3*z - 1304 = -2*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3000050 + -24050569\/8. Let x = b + 6282. Let c = 287\/366 + 3\/61. Find the common denominator of x and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40415 or 40435?\nAnswer: 40415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 25301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -f**3\/2 - 120*f**2 + 1526*f + 3528 = 0?\nAnswer: -252, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 263*l**2 + 1 + 1 - 24*l + 107*l**2 + 157*l**2.\nAnswer: l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 1364?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22 or -402?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q**3 - 2*q**2 + 3*q + 3. Determine d(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.1 + -6. Is k <= -224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -78012835, -156025670, -234038505, -312051340?\n\"Answer: -78012835*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 199622, 199612, 199590, 199556?\nAnswer: 199510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 AM and 11:37 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the second derivative of q**4\/12 - 6*q**2 + 7*q. Is j(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52343*s**3 - 3 - 52231*s**3 + 3 + 0.\nAnswer: 112*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 61 = 13. Let g be (-3)\/v + (-3)\/12. Solve 0*y - 3*y = g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 13447, 31342, 49235, 67126, 85015, 102902, 120787?\n\"Answer: -s**2 + 17898*s - 4450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 109*f - 1419. Calculate l(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*d = -195*d - 12, 3*d - 16 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*w - 45 + 5. What is the second derivative of -109 - 4*c + 108*c**w - 4*c + 111 wrt c?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -50 - (11 - ((14 - 10) + -3 - -10)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28\/13?  (a) -30  (b) 4  (c) 2\/3  (d) -0.016  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 49 and 1029?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 451 by 5.\nAnswer: 451\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -148 - 156 - 2*i + 445 + i**2 - 154. What is the lowest common multiple of 34 and u(7)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*v - 1 = 169*v - p, p - 1 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -7 - 8) + -4 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 67, 5, 3, -3, -20, 2 in decreasing order.\nAnswer: 67, 5, 3, 2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y + 6. Let q be d(3). Suppose -302 = -s - q*s. Let c = s + -207. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/21)*v*v\/v**(1\/3)*v)\/(v**(-2)\/(v*v\/((v**5*v*v)\/v*v*v))) assuming v is positive.\nAnswer: v**(-26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.4, 4, 0, -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q - 6. Let o be t(4). Let h(b) = -2*b + 12. Let u be h(-9). What is the highest common factor of u and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 793.614683 to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 563\/10, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**2 - b - 1. Let p(m) = 5*m**2 + 3*m + 3. Let h(y) = -2*p(y) - 7*t(y). Suppose -5*q + 7 = -0*q + 3*z, 4*q - 8 = -3*z. What is h(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2 + sqrt(75) + sqrt(75) - (sqrt(75) - (-2 + sqrt(75))*-1) - 1*(-3*(sqrt(75) + 1 + sqrt(75)) - 5*(sqrt(75) - (sqrt(75) - sqrt(75)*2))))**2*4.\nAnswer: 3200*sqrt(3) + 76900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 23*k - 166, 124*u - 129*u + k = -298 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 84950 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: Suppose 4*n + 1 = -3, 2*v + 5*n - 767 = 0. Let a be (2*v)\/(9 - 7). Suppose -a = -3*r + r + 3*k, -3*r = k - 601. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -623398 or -623371?\nAnswer: -623398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 340185 and 660?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 113332554 a multiple of 4847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 291*n**2 - 8*n - 1085. Let s(z) = 293*z**2 - 7*z - 1077. Let x(c) = -5*s(c) + 4*t(c). What is the derivative of x(f) wrt f?\nAnswer: -602*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = y - 6*y. Suppose 0*q = 5*q - y*l - 4, 5*l - 6 = 2*q. Solve p + 4*n = -q, -4*n = -3*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 k when three letters picked without replacement from {k: 2, j: 5, p: 6}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 2, 204, 0.3 in ascending order.\nAnswer: 0.2, 0.3, 2, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9.255382ng?\nAnswer: 0.000000000009255382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65628 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3181060 and 1060?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppjpjppjjp. What is prob of picking 1 j and 3 p?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 55900000 rounded to the nearest one million?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**3 - 3 + 2112*r**4 + 1962*r**4 - 3955*r**4 + 2*r + 1 in the form z*r**2 + u + m*r + o*r**4 + c*r**3 and give o.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -252939, -1011739, -2276421, -4046997, -6323479, -9105879, -12394209, -16188481?\n\"Answer: -2*d**3 - 252929*d**2 + d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wzwpiwwzpwwpp. Give prob of sequence wpz.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3\/5, -0.04144, -4989 in increasing order.\nAnswer: -4989, -3\/5, -0.04144, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of 5\/2*v**4 + 0 + 1\/42*v**7 + 7\/24*v**6 + 0*v - 43*v**2 + 4\/3*v**5 + 0*v**3. Factor w(x).\nAnswer: 5*x*(x + 2)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54 - (-21 + 115 + -2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13152 and 10752.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2 = 3*z, 4*z + 1 = -7. Let y be 1\/(3\/39) + v. Suppose 0 = 2*i - 5 + 1. Solve 2*f + c - 6*c = 12, -i*f - c = y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**5*v**(-7)*v*(v**(-5\/9))**(-1\/38) assuming v is positive.\nAnswer: v**(-337\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 3:06 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 25*w**2 - 2 - 1 + 1 - 24*w**2. Determine p(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106406 is divided by 1419.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2101 (base 10) to base 7.\nAnswer: -6061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7049241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 122*y + 793. Let o be z(7). Put 34, -3, o, 2 in ascending order.\nAnswer: o, -3, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 5:01 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - -12. Let b = p - 16. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 - 0.1. Let c = p - -4. Suppose -u - 3*u - 16 = 0. Put 0, u, c in decreasing order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, 0.4, -1.7, -154, -1\/4?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 63 = -3*l. Let q be 0\/(1*6\/(-3)). Suppose -w - u = 3*u - l, q = 2*w + u - 76. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11701*v + 10914 = 11803*v for v.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -6*n - 7. Let p(w) = -5*w - 7. What is -3*f(k) + 4*p(k)?\nAnswer: -2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 + 21*q**2 + 3*q + 59. Let v be d(-21). What is the fourth biggest value in -2, 4, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x - 2. Let c be m(-3). Suppose 27 = c*l - l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93212731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 163*t + 128. Let o be d(1). Which is the nearest to -1?  (a) 3\/7  (b) 0.2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/20 and -155\/15241668.\nAnswer: 76208340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 171229629 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 157\/30 and 22\/288879.\nAnswer: 2888790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -447 + 449. Suppose 37*d + v = 76. Solve 0 = d*z + 4 - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1576 and 27928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 233191640 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (141 - -32) + -80 + -13\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -39 - -38.99999897. What is c rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 602084489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -56592 by 54.\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 5) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/5)\/(8\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {x: 2, h: 4, m: 4, a: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(5) + 0))**2 + 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - 2*l + 2*l)*(1763*l**2 - 3339*l**3 - 1761*l**2 - 445*l**3).\nAnswer: -3784*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 12*c**2 + c - 4. What is the hundreds digit of y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*p - 8 = 16*p. What is the remainder when 21 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9163\/6 - -1506. Calculate the common denominator of y and 50\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.01 + 1.21. Suppose 5 = -4*c - 3. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -997*h. Let d(r) = -2*r**2 - 2*r - 20. Let z(t) = 7*t**2 + 6*t + 60. Let v(q) = -15*d(q) - 5*z(q). Determine w(v(l)).\nAnswer: 4985*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/30420 and -89\/106743.\nAnswer: 83259540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19*i**6 - 488*i**3 + 81821*i**2?\nAnswer: 2280*i**3 - 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + a - 2*a = -20, 0 = 5*a. Suppose -4*b = g*u - 242, -5*b + 8 = -7. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 197377 + 4?\nAnswer: 19737b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 2*x**2 - 3. Let o be w(-3). Let y = 71 - 39. Suppose -3*r + 9 = -p + y, 2*p - 4*r - 40 = 0. Solve -d + o*t = t + p, -2*t + 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 PM and 9:39 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9755 + 9759. Solve -20*f = a*f - 24 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84+-0.8\nAnswer: 83.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 412525871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 318918150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -x**3\/5 - 20394*x**2\/5 + 8160*x + 163168\/5 = 0.\nAnswer: -20396, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + -2)*(-360)\/(-108)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of c**4\/12 - c**3\/6 + 27*c**2. Determine f(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 6*r**2 + 2*r - 8. Let p be x(6). Suppose 3*w = p*w. Solve w = g - c - 9, 5*g - 4*c = 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13540 times 0.4\nAnswer: 5416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14272957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmimimmimmimisisii. Give prob of sequence sm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**4 + 9*f**3 - 5*f**2 - 4*f + 7. Let p(w) = -w**4 + 4*w**3 - 2*w**2 - 2*w + 3. Let y(x) = -4*m(x) + 10*p(x). Factor y(i).\nAnswer: -2*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-6)*((-72)\/28)\/(-6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/318249472 and 109\/448?\nAnswer: 2227746304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*i, 5*h + 34 = -5*i + 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -5. Let u = 2 - 4. Let m be u*(-5)\/(-6)*-3. Which is the smallest value?  (a) 2  (b) m  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -34135560, -68271114, -102406668, -136542222?\n\"Answer: -34135554*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -7234922 in increasing order.\nAnswer: -7234922, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203602.\nAnswer: 2, 7, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 9016 + 1434 = 0. Let o = m - 334. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6020 + -18041\/3. Which is greater: -163 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4*r - 3)*(318*r + 0 + 3 - 363*r).\nAnswer: -180*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2148\/(-2506)*392\/(-42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 11558812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 + -7 + -3 + -85 + 93 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -g**4\/10 - 4*g**3\/15 - g**2\/5 + 8. Suppose u(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (4 - -2 - 12\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(648) - sqrt(648)*-1) + sqrt(18))\/(sqrt(2)*1*3 - sqrt(2)))\/((sqrt(84)\/sqrt(7))\/sqrt(4) - sqrt(12)\/sqrt(4)*2).\nAnswer: 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**8*v**(-11))\/(v**(-1\/11)*v*((v**7\/v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 4 + -4 + 1 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 6, -69, 436 in increasing order.\nAnswer: -69, -6, 6, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 776325 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24522*p**4 - 3101*p?\nAnswer: -294264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2. Let u be 4\/(-78)*-6*13. Let z(y) = -79 + 3*y - u*y + 260 + 108. What is z(x(j))?\nAnswer: j**2 + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, -3, -27, -71, -141, -243, -383, -567?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 191*w - 240 = 171*w. Solve 0 = -g + 4*o - 13, -w*g + 7*g = 2*o + 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(3\/4)\/v**0*(v**(1\/2)*v)**(-38))\/((v**(-1))**(-9\/5)\/(v\/(((v*v*v\/v**(-1))\/v)\/v))**48) assuming v is positive.\nAnswer: v**(-2121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26351, 51757, 77163?\nAnswer: 102569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 13\/78 - 58\/(-12). What is the second derivative of q**2 + 146*q**3 - 10*q - 136*q**3 - 2 - q**2 - 3*q**a wrt q?\nAnswer: -60*q**3 + 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 326.6855 centuries to months.\nAnswer: 392022.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177634472?\nAnswer: 2, 947, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -218 + 222. Find the second derivative of -12*q - 10*q - 10*q**z - 54*q + 0*q**4 wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8196 + -7786. What is the remainder when s is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.56 + 0.36. Let y(q) = q - 4. Let h be y(2). Is s at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 10:02 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 0.5  (c) -4  (d) 2629.8  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-48)\/(-3)*1 + 0. Suppose r = -4*f - 3*r, -4*r = i. Solve -4*h + h = f*m - 3, 0 = 3*h - m - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (5 + 1 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, k: 3, o: 4, z: 2, w: 6, a: 3}. Give prob of sequence zaa.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2ed6 (base 15) in base 5?\nAnswer: -310401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -295 + 5603\/19. Let j(z) be the first derivative of -2*z**3\/3 - 13*z**2 - 29*z - 7. Let b be j(-12). Put b, q, 1\/10 in decreasing order.\nAnswer: 1\/10, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1010*w + 781*w**2 + 1010*w in the form i*w + o + g*w**2 and give g.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3693 - 3692.95772. What is g rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/250860 and -53\/30.\nAnswer: 250860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21085474.\nAnswer: 2, 17, 620161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1498548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1272227639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 3*z**2\/2 + 38470209*z + 493318993501227\/2 = 0.\nAnswer: -12823403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 7. Let c = m - 3. Let i be 4\/12 + (-1)\/(-3). Which is bigger: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -53582 times -2.97\nAnswer: 159138.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 - 7*s**2 - 2*s - 4. Let i be f(-10). Suppose -i = -a - a. What are the prime factors of a\/14 - (-8)\/(-28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*j**2 + 43*j**2 - 48*j**2 - 25*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2 + 12*i + 8.\nAnswer: 4*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i = 12 + 96. What is the second biggest value in 4, i, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*h + 3515 = 2*r - 101*h, 5*r + 4*h = 8807. What is the remainder when r is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbs when three letters picked without replacement from {b: 2, l: 11, s: 6}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2525*u - 78 + 78 - 2815*u in the form s*u + r and give s.\nAnswer: -5340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 23*u + 30. Determine n(21).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -5*x - 3*v, 0 = 2*x - 13*v + 10*v + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -7*y - 12 - 210*y**2 - 140*y**2 - 104*y**2 + 5*y. Let p be u(-4). Is p\/(-6) + 8\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507288 divided by 12?\nAnswer: 42274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 - 2*s**2 - 3. Let w be l(3). Find the second derivative of 9*k + 7*k**3 - 3*k**2 + w*k**2 - 3*k**2 wrt k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 1952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70 - -73) + (-2 - 1) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r = -3*o - 24, -27*r + 8*r = -6*r - 12*r + 5 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -141 - -210. What is the remainder when w is divided by ((-2)\/10)\/(5\/475*-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from {o: 3, g: 1, p: 3, j: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 0, -2 in descending order.\nAnswer: 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 321291 and 23389?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8 + 4)*1\/3. Let u(k) = t - 4 + 1. Let j(c) = 2*c + 3. Let x be 2 + 4\/(-2) + 1. Determine x*j(s) - 4*u(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c**2 - 8*c - 9. Let d be h(-4). Is 16 a factor of (2 + 21\/d)*-57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of j**6\/540 - 2*j**5\/9 + 100*j**4\/9 - 4*j**3\/3 + 9*j + 102. Let z(a) be the third derivative of s(a). Factor z(i).\nAnswer: 2*(i - 20)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10124?  (a) 35  (b) 6  (c) -5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 364*a + 9. Let s(h) = -h**2 + 7. Let f be s(0). Is l(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -84 + 131. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 - -19. Let z be -2 + 1 + 3\/3. Differentiate -5*v**r + 3*v**4 + 4 + z*v**4 wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 5*g + 303 - 1068, 3*g = -6. What is the remainder when p is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7 times -3605?\nAnswer: 6128.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 13721446 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of 5*f**7\/21 - 7*f**3\/6 - 16*f. Find the second derivative of v(b) wrt b.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 0.038?\nAnswer: 2.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - w - 1, -2 = -3*q + q - 2*w. Let z be (2\/(-2))\/(q\/3). Suppose 0 = -t + o, z*t - 17 + 2 = -2*o. Let k(r) = r**3 - 2*r**2 + 3. What is k(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*w**4 + 21*w**4 + 7*w**5 + (3*w**4 - 2*w**4 + 7*w**4)*(5*w - 5*w + w).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 12:59 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 771 - 8484\/11. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -7*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in 0, -0.3, 0.1, -2.6, 1743?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5476 + 5467. Sort -2\/5, 61, 0, -2, m in descending order.\nAnswer: 61, 0, -2\/5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 584912183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28076556 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15 - 54666?\nAnswer: -54651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from liiiiliiiiilii. Give prob of picking 3 i.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 8, 10*u = -3*j + 6*u - 2. What is the nearest to 64 in -8, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + 39. Let u be n + -5 + 0\/(-2 + 3). Suppose -5*y = 2*b - 75, 4*b = y - 0*y - u. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 4*x - 4. Suppose 4*b = 3*w + 1, 21*w = 24*w - 3*b - 3. Suppose 2*r + 23 = w*j, 3*r + 5*j + 1 = 4. What is c(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + -106246102?\nAnswer: -106246065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.003 - 0.003. What is the third biggest value in r, 2, 0.02, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 429974*g**2 - 24*g + 7*g**3 - 429974*g**2 + (2 + 0 - 3)*(-g**3 - g**2 + g**2) + g**3 - g**2 + g**2 - 4*g**3 + 5*g**3 + 0*g**3 - 4*g**3 + g**3 + g**3.\nAnswer: 8*g**3 - 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -146*n**2 - 5*n - 11. Let m be d(-2). Let u = 92 - m. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2 = -0. Let i be ((-8)\/3)\/(q\/108). Suppose -2*t + 5*t - i = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((7889\/(-92))\/49)\/((-700)\/960)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35585, 35587, 35589?\nAnswer: 35591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -490, -2, -5, 5 in increasing order.\nAnswer: -490, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 392286 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 6*j - 1. Let k be -3 - (j - -4)\/(-4). Which is the closest to 3?  (a) -0.4  (b) -2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -79 - (-31 + (43 - (46 - 24)))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 6*a**2 - 12*a - 4. Let c(s) = -2*s**3 + 5*s**2 - 13*s - 4. Let m(d) = 3*c(d) - 4*y(d). What is the remainder when m(-6) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 775 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - u - 3 = 0, -a - 4*u = a - 12. Let p(x) = -x**3 - 4*x**2 + 3. What are the prime factors of p(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 6*q**3 - q**2 - 3*q + 2. Let d(y) = -7*y**3 + 4*y - 3. Calculate -2*d(m) - 3*t(m).\nAnswer: -4*m**3 + 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10489 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: Which is the second smallest value?  (a) -3\/8  (b) -22  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*l - 683 = -197 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35 by 2.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 25 - 13 = 0. What is the remainder when 73 is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w + 20 - 53 + 96 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -222443, -444885, -667327, -889769, -1112211, -1334653?\n\"Answer: -222442*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bea when three letters picked without replacement from lboeolallao?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 + 7*n + 8. Let q = -132 + 139. Calculate the remainder when t(q) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/105)\/((-12)\/(300\/(-5))*-6*1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 315673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 2:33 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b - 2. Let t(l) = 6*l + 23. Calculate -4*m(k) + t(k).\nAnswer: 2*k + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 624191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 718 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/2 + 5\/2. Let p(n) = 7*n - 6*n**3 + 9 + 2*n**3 - 5*n**j - 2*n**2 + 3*n**3. What are the prime factors of p(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) - (sqrt(85)*3*-6 + sqrt(85)))*3)\/((sqrt(180) + sqrt(180)*4)*2).\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -38661326 and 0.1172?\nAnswer: 38661326.1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -105 - -66. Suppose 5*w + 271 = -34. Let i = f - w. What is the lowest common multiple of i and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of 31*o**4\/8 + 283*o**3\/6 - 81*o**2 + 7. Give u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 216 + 12166021?\nAnswer: 12166240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r + 3*r + r + (-2 - 4 + 1)*(4 - 4 - 2*r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 8728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (26 + -5)\/3 + -25 + 67\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*n**3 + 0*n**3 - 13*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-29094)\/(-169) - (1 - (-11)\/(-13)). What is the highest common factor of o and 2021?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 329667135 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 356 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of -p**3\/2 + 2*p**2 - 2*p. Let c be i(-3). Solve 3*j + 3*o - c + 4 = 0, 13 = 2*j - 5*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9676 divide 2410697398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(4))\/sqrt(2) + 1 - -2*(sqrt(2)*1 + 2).\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 5*u + 5 = 0, -5*u - 2 = 5*s + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1598223*a*l**2*n**3 - 3*a*l**2*n + 12*a*n - 2*l*n**2 + 5*n**2 - 453*n wrt n?\nAnswer: -9589338*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 3*z - 10 = 7*n, -4*n - z = 6. Let l = -15\/7 - -17\/7. Let x = 29 - 144\/5. Which is the nearest to l?  (a) n  (b) x  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 AM and 7:01 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of i**4\/12 + i. Let t(j) = -j. What is d(t(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, i: 3, f: 3, w: 2, o: 4, e: 3}. Give prob of picking 2 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 8, -3\/5, -2\/9, 2\/3 in decreasing order.\nAnswer: 8, 2\/3, -2\/9, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -38 + 0*y**2 - 3*y**2 + 40 as x + n*y**2 + z*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -10182110*g**2. Let t(m) = -16*m. What is k(t(a))?\nAnswer: -2606620160*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 2*a + 8. Let l(f) = -4*f - 9*f**a + 3 - 9 + 6*f**2 + 2*f**2. Suppose 4*m - 4*w = -28, 6*w = 2*m + w + 20. Calculate l(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 5049\nAnswer: -1\/1683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -809*f**5\/20 + f**4\/6 - 223*f**3\/6 - 6*f - 169. Find the third derivative of x(j) wrt j.\nAnswer: -4854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158015260 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 162\/5913 - 34507\/(-803)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddaddddad. What is prob of sequence da?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.5 - -11. Which is the closest to -0.3?  (a) 2  (b) 0  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -1648*l + 21. Is w(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 441213 + -134?\nAnswer: 441024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-132)\/(-2310))\/((-1)\/(-10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*l + 36*l - 9. Let j(t) = -4*t**2 - 1 + 5*t**3 + 2*t + 6*t**2 + 6*t**2 - 5*t**2 - 6*t**3. Calculate j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6*(-3)\/(27\/4282134). Let c = g - -1664756. What is c rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 950899 is divided by 237718?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2838145.\nAnswer: 5, 587, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 2*f + 74, 119 = 3*x - 0*f + f. Let g = 33 + 122. Calculate the remainder when g is divided by x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 64423 and 11224.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b**2 - 17*b + 37. Let t be d(2). Suppose 18 = u - 24. What is the greatest common divisor of u and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0047651567 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-7)\/112*8*(-248)\/18.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 160112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 12 + -4 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 20 = 2*f, -75 + 17 = 4*o - 5*f. Let v(j) = j**3 + 13*j**2 + 11*j - 7. Let n be v(o). Let z = n + 36. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 6*o**2 - o - 2. Let s be b(2). Let u be 18 + (-40)\/24 + 2\/(-6). Let y be (1\/2)\/(u\/64). Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 18*p + 12. What is c(8)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 368 is divided by 81?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 894847 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -408, -307, -214, -129?\n\"Answer: -4*r**2 + 113*r - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -t + w + 4*w, 210 = 4*t + 2*w. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 764.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 379893400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 446 - 445.9799. What is w rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174368 is divided by 174328?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-16)*j\/((j**(-1\/14)\/j)\/j))**(1\/55) assuming j is positive.\nAnswer: j**(-181\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3147.\nAnswer: 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of -z**4\/12 + 4*z**3\/3 + 18*z**2. Calculate the remainder when v(-19) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 476254, 952521, 1428798, 1905085?\n\"Answer: 5*o**2 + 476252*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 51.3161 decades?\nAnswer: 5.13161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - 0.1439495857?\nAnswer: 0.3560504143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 7:45 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = -4 + 4 - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -250  (b) 9  (c) 2\/13  (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h - 12*h = -100. Let l(s) = 2*s - 11. Let g be l(5). Let o be (125 - 5)*g\/(-2). What is the greatest common divisor of o and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**5\/5 - 18*i**4\/5 - 66*i**3\/5 - 14*i**2 - 24*i\/5.\nAnswer: 2*i*(i - 12)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 28 + 40. Calculate the remainder when 66 is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 66*i - 56*i + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 13, 0, -249\/26?\nAnswer: -249\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**5 + 44*i**4 + 144*i**3 + 144*i**2 = 0 for i.\nAnswer: -6, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from txrlxrsz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1a0 (base 11) to base 4\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p. Let h = 6 - 0. Let r = h + -3. Let b(l) = -3*l + r*l - 3*l. What is b(u(z))?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 8*t**2 - 3 + 3. Let j(d) = -9*d + 29*d - 19*d. Calculate v(j(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11212 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -198 - -230. Calculate the highest common factor of 160 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -41 - -84. Let t = r + -26. Let k(b) = 47*b**2 + 2*b + 3. Let h be k(-2). Calculate the greatest common divisor of t and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + (30\/(-25))\/((-8)\/(-20)). Solve x = 3*t + 3 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/7 + 4\/7*a - 1\/7*a**4 - 4\/7*a**3 - 3\/7*a**2.\nAnswer: -(a - 1)*(a + 1)*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13251761?\nAnswer: 821, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of l**2*m**2*v - 10*l**2*v - 5641*l**2*z**3 - 2*l*m**2*z + 5*l*v - 3*l*z**3 + 267*m**2*v - 3*v*z**2 wrt l.\nAnswer: 2*m**2*v - 20*v - 11282*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -561 (base 9) in base 8?\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -328 by -2.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-30)\/80*(1\/15)\/((-17)\/68)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15750*a**3 + 15739*a**3 - a + a + 15742*a**3 + 0*a - 47213*a**3.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8362785 months to decades.\nAnswer: 0.0069689875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 + f**2 - 9*f - 14. Let v(j) = -j**3 - 8*j - 13. Let s(b) = 4*d(b) - 5*v(b). Let i be s(-3). What is the highest common factor of i and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 3 = 18764*w - 18765*w, c = -3*w - 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 572460 and 1731996?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d - 24 = -4*v - 17*d, d + 5 = 3*v. Suppose -4*q = -4, 2*u - 2286 = -v*q - 891. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 13 = -2*q + 91, 2*v - 52 = -3*q. What is the remainder when 74 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 280 = -q. Let i be 8\/(-20) + 58\/q. Let h be 144\/(-416) - 2\/13. Sort 1\/4, i, h in ascending order.\nAnswer: h, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of z**5\/60 + 5*z**2. Let o(g) = -g**2. What is j(o(n))?\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 541.9957 years in decades?\nAnswer: 54.19957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70584638 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 32753410633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q + 25. Let r(k) = -k + 13. Let d be (-56)\/32 - 104\/(-32)*-1. What is d*r(s) + 3*m(s)?\nAnswer: 2*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 5 + 10)*(-4*d**2 - 3 + 3) + d**2 - 4*d**2 + 4*d**2.\nAnswer: -103*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1358*w + 12680 = -11548 - 27376 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 503418.\nAnswer: 2, 3, 83903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14738599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17614?\nAnswer: 2, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*s**4 - 2*s**2 + 30*s**2 + 3*s**2 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1\/4 + 9658\/44)\/((-6)\/(-16)) is divided by 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7455035 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28374 + -28374.0111469. Round a to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 37 = 3*q + f, q - 7 = 4*f. What is the third derivative of -t**3 + 23*t**3 - q + 11 - 24*t**2 wrt t?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1763*a = 856*a + 1027*a - 4320 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18\/163 + -3859\/1956. Find the common denominator of v and (-426)\/(-208)*((-468)\/(-54) + -10).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j - 6. Give l(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/19 - -16\/57. Let w = -285 - -290. What is the nearest to -0.2 in g, 4, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -160*j + 11045. What is k(69)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 444 and 216192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106122 is divided by 20860.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3920e (base 16) to base 2.\nAnswer: 111001001000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 4*b - b - 27 = 0, -5*t + 2*b + 17 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 327947*g**2 + 35467*g**2 - 2*g**3 - g + g + 2.\nAnswer: -2*g**3 + 363414*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -139587 divided by 867?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90263761.\nAnswer: 7, 17, 758519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w + 35 = 14*w. Solve 9 = -2*d - k, -w - 20 = 5*d + 4*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u**3 - 2*u**3 + 4*u**3)*(0*u + 3*u**2 + 0*u) + 0 + 2*u**5 + 0.\nAnswer: 23*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(153)*-2)\/sqrt(9)*-2.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**5 - 1557*t**4 - 1558*t**3 = 0. What is t?\nAnswer: -1, 0, 1558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/6839 and 63\/8689438.\nAnswer: 60826066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, p: 4, t: 2, f: 7, v: 2}. Give prob of picking 3 f.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 97 = 5*l, -2*l + 3*l + 5*d = 9. Suppose 4*p = -l + 11. Let t be -4*((-5)\/2 - p). Do t and 12\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -6. Let l(j) = -39 + 15 + 42 - 7*j + 3*j**2 - 4*j**2. Let x be l(-9). Put -7, -0.4, x, h in descending order.\nAnswer: x, -0.4, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*n**5 - 2*n**4 + 450*n**3 + 7809*n**2 wrt n?\nAnswer: 120*n**2 - 48*n + 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45108, 44459, 43822, 43197, 42584, 41983, 41394?\nAnswer: 40817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 154\/35 + -4 - 1512\/280.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 4, -98.5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/71 in 24565, 0, 1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q\/q**(-1)))**(-39\/4)\/(q*q**(-2\/3)*q\/q**(5\/6)) assuming q is positive.\nAnswer: q**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6370477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 267715 - 126.359.\nAnswer: 267588.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1172749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/638 and 9\/927101?\nAnswer: 20396222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/151 in -4, -1\/13, 31, 0.6, -2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43506896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 39049843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-17)\/3 + (-4)\/(-1). What is the closest to -2 in -3\/4, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -7, -62, -112, 1, -5 in increasing order.\nAnswer: -112, -62, -7, -5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(432)*1 + sqrt(432))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2*u**2\/9 + 14146184*u\/9 = 0.\nAnswer: -7073092, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2095 divided by -569?\nAnswer: 2095\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -5*q + 167. Suppose -256 = -2*s + 5*c, 0*c - 236 = -2*s - 5*c. What is the remainder when s is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 10:02 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v + 4*v + 2*r - 14 = 0, -10 = 2*v - r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -146449, -149395, -154305, -161179, -170017, -180819, -193585?\n\"Answer: -982*t**2 - 145467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -2\/13  (c) -0.4  (d) -149  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-4)*-1)\/((-21)\/(-56)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 - -33. Let z be -2*(0 + a\/(-1)). Find the third derivative of -68*p**2 - 3*p**3 + 30*p**z + 36*p**2 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35626753.\nAnswer: 113, 315281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/3 - 3 - -1. Let x = o - 1. Let k = -11\/51 + -2\/17. Which is the nearest to 2?  (a) x  (b) k  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 3, 266 in decreasing order.\nAnswer: 266, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 9*l**2 - 134*l - 307. Let c be b(35). Calculate the highest common divisor of c and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 30515, 61014, 91513?\n\"Answer: 30499*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -1625.4?\nAnswer: -3250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -775 or -772?\nAnswer: -775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(1\/2)*f**(-7))\/(f**(-2\/41)*(f*f\/(f\/(f**4\/f)))\/f) assuming f is positive.\nAnswer: f**(-775\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 521424 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 105764.6 * -0.1433.\nAnswer: -15156.06718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 91517208, 183034413, 274551618?\nAnswer: 366068823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -j**3 + 7*j**3 + 4*j**3 - 9*j**3 + 3*j**2 as x*j + z*j**3 + m + r*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 4:08 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-656)\/4*(3 + 28\/(-8))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -4*t + 32, 0 = -0*t - 5*t + 3*y + 40. Solve 4*q + 0 = t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25)\/(50\/(-60)*54)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 + 4*q - 2. Let c be 47\/(-9) - (129\/27 - 5). What is a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2915848 a multiple of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 - 3*b + 2. Let a be p(2). Suppose a*i - 5*i = s + 291, 5*s + 1479 = -i. Let q = -151 - s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + sqrt(133) + ((2*sqrt(133) - sqrt(133)) + sqrt(133))*2 - sqrt(133)))\/(sqrt(28)\/sqrt(4)*-4).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of -3 - (6 + (-147)\/28)\/(2\/(-2408)) and 36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (193 - 82)) + 12.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnttttttttytstytytst. Give prob of picking 3 t and 1 n.\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4483.403 - -5559.12. Let c = x + -1078. What is c rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 1 + (1 + 2 - 4)*(-2 + 8 - 1) - 3 + 2 + 0)*(p**5 + 0*p**5 - 2*p**5).\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2078971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-10 + 6 + -8) - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -655, -0.3, -25\/7, 4 in descending order.\nAnswer: 4, -0.3, -25\/7, -655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5508044 or 5508048?\nAnswer: 5508044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -895552, -8 in increasing order.\nAnswer: -895552, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 32*n**2 - 1. Let x be k(-1). Let g(y) = -59*y. Let h be g(-4). Let d = h - 19. Calculate the highest common factor of x and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 941971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - 3*a + 3*a)*(6*a**2 - 6*a**2 + a**3) - 20*a**4 + 2049*a**2 - 2049*a**2.\nAnswer: -22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1331 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 21\/4 of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 11 = -4*m, 3*m - 2*m + g = 5. Solve 3*d + m + 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 188127331 to the power of 1\/2, to the nearest integer?\nAnswer: 13716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10376669, -10376565, -10376461?\nAnswer: -10376357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -718726, -718728, -718730, -718732, -718734, -718736?\nAnswer: -718738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4*5*(-7)\/770\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 263325 + -263323. Suppose 9 = n - 0*n. Let m be (-6)\/(-4)*(-15)\/n. Which is the nearest to f?  (a) m  (b) 2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 2*o**3 + 0*o - 1 + 1\/2*o**2. Let a(c) be the first derivative of c**3\/3 + 1. Give -4*a(m) + z(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -230.8 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 322310102332?\nAnswer: -322310102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 48.6 * 64064.\nAnswer: 3113510.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 - -19. Suppose -40 = -5*z + 4*s, -5*z = -f*z + 2*s - 10. Suppose z*n - 102 = -18. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + h - 25 = 0. Suppose -m + 4*m = 0. Suppose a - o - 36 = 0, -2*a + 2*o = o - 71. Solve 2*c + 5*y = m, -c - a = -6*c + h*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 195 - 193. Suppose -q*f = -11 - 7. Solve 0 = -6*a - 9 - f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -759 + -56. Let v = 158 - r. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, -14, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 176*d**2 - 499*d + 2843. Determine k(-173).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + (3 - 3) + 27. Let g = d - 1. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9  (b) 3  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 26917*b - 53831*b + 26915*b. Let a(u) = -92*u**2 + 3. Suppose -4*r = -80 + 12. Let s(m) = 31*m**2 - 1. Let p(c) = r*s(c) + 6*a(c). Determine p(o(x)).\nAnswer: -25*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1702914 and 4904?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 683 minutes before 1:49 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2873, -5798, -8721, -11642, -14561, -17478, -20393?\n\"Answer: g**2 - 2928*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 2. Suppose s = 2*j - 3. Suppose -w + j = 1. Put 4, -2\/15, w in descending order.\nAnswer: 4, w, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-19)\/(114\/24) - 13*226. Let m = -2041 - v. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4635 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-462)\/154*(2 + (-32)\/6) - 6. Solve -5*s + 6*s = k, b*s = -4*k + 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2386*v = 623*v + 513*v - 483*v - 264393 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of 4*n + 0*n**3 + 0*n**4 + 0 - 1\/30*n**6 + 3\/2*n**2 + 0*n**5. Differentiate p(x) with respect to x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -1635396*w. Let k(b) = -5*b. Calculate g(k(v)).\nAnswer: 8176980*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 6*m**2 + m + 7. Determine k(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1119, -8410, -28115, -66414, -129487, -223514?\nAnswer: -354675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30408 is divided by 30393.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 291 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1700444 is divided by 217?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20777280 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (9831*j + 296*j**4 - 9831*j + (-3 + 3 - 2)*(3*j**4 + 2*j**4 - 3*j**4))*(-6 - 19 + 1) as u + i*j**2 + y*j + r*j**4 + n*j**3 and give r.\nAnswer: -7008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.3  (b) 2\/5  (c) 1\/2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 5 - 3)*(-2 + 2 - 2*v) + (0 + 1 + 1)*(-3 - v + 3) + 15*v + 1794 + 13*v - 1796 in the form h + f*v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 71.\nAnswer: -5, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2\/2*(48\/(-20))\/12\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12120 - 12099. Is k greater than 6.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + -0.4. Let n = -16.86 - -17.29. Which is the biggest value?  (a) 1  (b) u  (c) n  (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1079299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 - 3*r + 2. Let o be c(2). Let v be (6 + 4 - 116)\/(-1). Suppose l - 2*l + v = o. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85, 103, 117, 127, 133, 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.0233705 to 1 dp.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4 = 2. Let g be (n - 4)\/((-4)\/6). Suppose 0*s - s = 1. Put -2, s, g in descending order.\nAnswer: s, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 3 = -3. Suppose -5*h + 4*h = -j. Suppose h*z + 2*v = -836, 0*z = 4*z - 4*v + 1688. Round z to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -19 - (38 - 26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/(-224))\/(2\/120)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246184703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6173706 divided by -6\nAnswer: 1028951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-1 - -1) - (7 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 68 + -34. What is the remainder when i is divided by 14 - (1 + -2)*-2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/9)\/t*t\/(t\/(t\/(t*t**11\/t*t*t))*t)*t**(22\/3)*t*t**(-17))**(-11\/6) assuming t is positive.\nAnswer: t**(1111\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -325 + 415. Calculate the remainder when 1527 is divided by z.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 8. Let r(t) = -2*t**3 + 197*t**2 + 107*t - 812. Let h be r(99). Put 0.1, h, 5, n in decreasing order.\nAnswer: 5, 0.1, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2433201 (base 5) to base 12\nAnswer: -22797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -1, 1.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m + 1. Suppose 3*o - 2 = -f, 10 = o - 0*o - 2*f. Let j(p) = -2*p + 3. Determine o*j(v) - 6*i(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1927860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34950 divided by 51.\nAnswer: 11650\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + l + 4*l - 69 = 0, -2*x - 68 = 4*l. Let r = 35 + x. Which is smaller: r or 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - n**2 - 2*n + 1. Let z be y(2). Let x be (z\/3)\/(2\/12). Solve 0 = q + 2*f + 7, x*f + 5 = 4*q + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 893.668t in grams?\nAnswer: 893668000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -164 divided by -6.\nAnswer: 82\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(3*-14) + 4\/14.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/6 - 85\/(-15). Let s be (-8 - -13) + (-3)\/(2 + -5). What is the greatest common factor of p and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49149681 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kxxkxxx. Give prob of sequence kkx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -531 and 758?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5*u**3 + 7*u**2 + 30*u + 1. Let x(w) = 21*w**3 + 30*w**2 + 126*w + 5. Calculate -9*t(v) + 2*x(v).\nAnswer: -3*v**3 - 3*v**2 - 18*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 656 (base 7) in base 11?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -83 + 70 + (0 + 2 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -7, 3, 39, -1, 0, 207 in ascending order.\nAnswer: -7, -2, -1, 0, 3, 39, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 5*m = -1725, -2*k + k + 586 = 2*m. Suppose f = 6*f - k. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*y + 4*y + 4*y)*(29 - 19 + 29) + 6*y - 2 - 196*y + 32*y as g + v*y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2109995 * 6.3.\nAnswer: -13292968.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -833, -3273, -7349, -13067, -20433, -29453, -40133?\nAnswer: -52479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -1. Let r = -29 + 10. Let d = r + 22. Put 2\/9, d, t in decreasing order.\nAnswer: d, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1445 - 0?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1403177, 1403176, 1403175, 1403174?\n\"Answer: -r + 1403178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away 32460121034106?\nAnswer: -32460121034106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**2 - p**2 + 4517*p - 4517*p.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y**4 + 3*y**3 - 2*y + y**3 + 6 + 9*y**4 - 5 to the form p*y**4 + v*y**2 + l*y**3 + q*y + o and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 993753202.\nAnswer: 2, 13, 38221277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 - 2. Let r be b(-2). Suppose m + r*m = 0. Is (21 + 1)\/(m + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 120 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 273.92856 months in years?\nAnswer: 22.82738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-10)*z)\/(z*z**(-8)*z) assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q**3 + 11*q**2 - 10*q - 19. Let z be s(-5). Let f(v) = z*v + 67*v + 18*v. Let a(l) = l**2. Give f(a(u)).\nAnswer: 141*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0*h + 4*d - 4 = 0, -4*h + 31 = 5*d. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91250927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 - q**2 + q + 1. Let m(r) = 29*r**3 - 4*r**2 + 4*r + 2. What is -m(a) + 4*x(a)?\nAnswer: -25*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 3*c**2 - c - 1. Let p be m(-3). Suppose k + 6 = -2*r, -4*k - 24 = 6*r - p*r. Let s = k - -8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8552 + 14748. Is d a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s - 22. Let u be l(12). Let c be (-4842)\/(-45) + 6\/u. Suppose 5*r + 0*r + j = 160, 0 = 4*r + 5*j - c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9)\/21 + (-68)\/(-28). Suppose 0 = -4*i + 5*w + 1, i + m*w - 3*w = 0. Let j = 247 - 240. Put 0, j, 4, i in increasing order.\nAnswer: i, 0, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 28 - 14)*(22*o + 68*o - 18*o).\nAnswer: -2088*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3495104756 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -5\/2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 8:41 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -5*z + 2*i, -4*i = 3*z - 34 + 10. Put z, 5, 7, 0 in decreasing order.\nAnswer: 7, 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -66118*x**4 - 37226?\nAnswer: -264472*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 6:21 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262 - 734 = -118*v. Sort v, 412, -4 in descending order.\nAnswer: 412, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1  (b) 6.7  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**0)\/((z*z\/((z**0*z)\/z)*z*z)\/z)*z**(-4\/5)*(z**(-6\/11)\/z)\/z)**(5\/6) assuming z is positive.\nAnswer: z**(-49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 AM and 8:54 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.18 - 1.4. Which is smaller: r or 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*(-64)\/(-35))\/((-1904)\/(-9996))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001325476 rounded to 5 decimal places?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5 = 1. Let g(f) = -f**3 - 9*f**2 - f + 12. Let n be g(-9). Suppose -5*a - 5*q = 5, 2*a - n = -2*a + q. Sort i, -0.4, a in decreasing order.\nAnswer: a, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11250)\/19800*(-4)\/50.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 337 and 5729.\nAnswer: 5729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3650 = -2*f + 4067, f + 3*k = 3876. Calculate the greatest common divisor of f and 2106.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/6*588\/28. Let n(p) = 13 + r*p + 14 - p**2 - 22. Let m(d) = d**2 + 7*d + 7. Let q be m(-7). Calculate n(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 - 8*m + 2. Let d be l(5). Round d to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2*g - 21. Let n be (-4)\/g - (85\/(-7))\/5. Let a be -1 + 152*n\/6. What is the greatest common factor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 242b0?\nAnswer: 242a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9385\/75080)\/(2\/((-32)\/(-61))).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/4*15\/(-120)*0. Sort 1, u, -16, -1.\nAnswer: -16, -1, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 7*k**3 + 6*k**2 - 3*k + 19. Determine v(-4).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t - t + 4*t)*(9 - 9 - 14*t)*(-2 - 15 - 1).\nAnswer: -504*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2237 + 3854?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001193261029 to 6 decimal places.\nAnswer: -0.001193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (2*1*sqrt(10) - sqrt(50)\/(sqrt(5)*-2))\/(sqrt(720) - (sqrt(720)*2 - sqrt(720) - sqrt(720))*-3).\nAnswer: -5 + 5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 187 + -141 - (-25 + 10)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*m**4*p + m**4 - 4338*m**3*p - 97*m**2 + 4322*m*p wrt m?\nAnswer: 432*m*p + 24*m - 26028*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - h = 172. Suppose -5*c + 65 = 5*u - 40, -2*c = 3*u - 47. What is the remainder when h is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, f: 1, w: 2, n: 1, y: 1}. What is prob of sequence fwp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2*(i*i*i\/i**(-12))\/i)\/((i**(1\/5)*i)\/(i\/(i\/(i\/((i*(i\/(i**(-8\/7)\/i))\/i*i)\/i))*i))) assuming i is positive.\nAnswer: i**(408\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2407 and 5063.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of 1\/6*r**3 + 0*r + 0*r**4 + 1\/60*r**5 + 3*r**2 + 0. Let i(d) be the second derivative of d**3\/6 - d - 27. Give i(g(v)).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*p - 4*p + 14*p = -15*s - 55, 0 = -14*s + 5*p - 52 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from esaaeeeqs. What is prob of picking 1 e, 1 q, and 2 s?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -i**2 - 3*i**5 - 236*i - 485*i + 7*i**2 + 0*i**2 - i**2 wrt i.\nAnswer: -60*i**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*v = -105*v + 50 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1216, 1415, 1564, 1663, 1712, 1711?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 673 - 61295.\nAnswer: -60622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/55 and 39\/155.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -266  (b) -1\/5  (c) 1\/6  (d) -1\/452  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239*h + 236*h + 240*h + 215*h - 914*h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6*c. Let z(r) = 3*r**2 - 8*r**2 + 2*r**2. Determine a(z(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k - 2. Let v = 32 - 38. Let a(s) = 11*s - 20. Let q(m) = v*n(m) - 3*a(m). What is the first derivative of q(x) wrt x?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -92015 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 7  (b) -3  (c) -0.14  (d) 8\/9  (e) 15  (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 154 divide 337374422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.9 - 0.1. Let b = 677\/180 - 158\/45. What is the nearest to m in b, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/3 - -1)\/(2\/6). Put -0.1, -0.4, w, 2\/3 in ascending order.\nAnswer: -0.4, -0.1, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108980 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**4 - 1257078*a**3 - 263377954140*a**2 - 18395018590467400*a - 165533834616318000 = 0 for a.\nAnswer: -209510, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 - ((10 - 9) + -3) - (142 + 3)\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1018 is divided by 251?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4672)\/(-1600) - 4\/(-50). Which is the nearest to t?  (a) -2  (b) 0.2  (c) 0.329  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 7*x**2 - 3*x + 1. Let q be i(-5). Suppose 2*p = 4*p - q. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 203 - 203.006. Round u to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 173254252 to the nearest integer?\nAnswer: 13163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (152\/(-12) - -12)*3\/(-2). Let i(y) = y**3 - 3*y**2 + 4*y - 3. Let m be i(3). List the prime factors of 94\/(-423) - (c + (-713)\/m).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -82 - 3b?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*a + 4*a - 19 = 0. Sort a, 1, -3 in descending order.\nAnswer: 1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 3 - 3)*(75*n**2 + 281*n**2 - 45*n**2) - 4*n**2 + 7*n**2 + 0*n**2 as w*n + x + k*n**2 and give k.\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -415981 + 3740207\/9. Let a = v - -403. Let n = 450 - 447. Put n, a, -1, 1 in increasing order.\nAnswer: -1, a, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5398 - 11840.4. Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1320*k - 280*k = -412*k - 112275 - 22761 for k.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -42  (b) -4  (c) 11072\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 20, -2, 46.3, -13?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11 + -12 + 5 + -1 + 0. Let j = 7 + -15. Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gqt when three letters picked without replacement from {t: 1, k: 1, g: 2, q: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/(-4))\/(394\/1576)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/4  (b) -8  (c) -1\/8  (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -304, -293, -266, -217, -140?\n\"Answer: w**3 + 2*w**2 - 2*w - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07951 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 660 is divided by 133?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (5 + (12 - (1 - -1))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -604 + 2104 = 3*c. Let a = c + -164. Is a not equal to 336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3134 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -0.4  (b) 1  (c) 0  (d) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 24. Is -1 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -94*j**2 - 23*j - 31. Calculate i(-3).\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 + -11. Suppose 3*i - 2*i + 3 = 0, 5*i + 20 = -5*v. Is v at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1624 + 135. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) + -1)*6*-2)**2.\nAnswer: -288*sqrt(3) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1cfb9a + 5?\nAnswer: -1cfb95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9c - -2?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c23 + a?\nAnswer: -c17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 11 = -2*p. Let r be -16*(10\/(-4) - -2). Let n(w) = w**3 - w**2 + w - 1. Let z be n(2). Solve -3*j + z*b = -31, j + r = -3*b - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 315904 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 5*y + 68 = 22, 3*p = y - 44. Calculate the common denominator of 139\/70 and -21 + 23 + 13\/p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46804 (base 14) to base 6.\nAnswer: 3402524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*a - q + 3*q, -3*q + 8 = 4*a. Solve w + 2*h + 7 = 0, 4*h - a*h = 3*w - 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 (base 10) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.06993 and 0.55735376919.\nAnswer: 0.62728376919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -48*n**2 + 2. Let o(m) be the first derivative of 5*m**3\/3 + 726. Calculate c(o(a)).\nAnswer: -1200*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2256847?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - k + 2. Let f be n(-2). Suppose -4*h + 0*h = f. Let i(q) = 3*q + h*q - 4*q. Let j(t) = 3*t. Determine j(i(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1265671800 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-56)*2*45\/(-12)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 26d29a - -32?\nAnswer: 26d2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 3*u + 137, x + 12 = 2*u - 18. Let d = -30 - x. Let r be d\/22*4\/2. What is the nearest to -1 in r, -5, 4\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14110.\nAnswer: 2, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6072071*k**5 + 3738*k**2 + 140*k?\nAnswer: 364324260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11284 + -11283.9. Put -473\/13, 1\/9, l in ascending order.\nAnswer: -473\/13, l, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 163 - 91. Suppose 22 - z = -5*v. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 21 = a, -4*a - 5 = 2*c - 47. What is the greatest common divisor of a and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 62722 = 10*d. Let s = d - -11433. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 - 4*q**2 + q + 2. Let a be w(-4). Let j be a\/4 + 21\/(-6). Find the common denominator of -101\/18 and -1*(-1)\/j*6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-26)\/13)\/(4*1\/166). Let y = z - -86. Suppose h - 118 = -y*s, 2*h - 162 - 94 = 4*s. Is 32 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48 + 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvqvqq. Give prob of picking 3 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-44))\/((5475\/600)\/73)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/69352, -8, 2 in ascending order.\nAnswer: -8, 3\/69352, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-110)*-11*-18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8596 is divided by 344.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-140)\/168*(-6)\/(90\/1)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35841630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 4 - (-6 - (-5 + 3)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1050, -5, 14, 4, -2, 5 in descending order.\nAnswer: 14, 9, 5, 4, -2, -5, -1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**9)**(9\/5) assuming d is positive.\nAnswer: d**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43256 + -28477. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4072426?\nAnswer: 2, 23, 223, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33, 88, 169, 276, 409, 568, 753?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (441\/98)\/(4 - 58\/16)*-1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (448\/(-40) + 12)*(-2)\/(-4). Which is the nearest to -6?  (a) z  (b) 22  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31*g**4 - 16382*g**3 + 2141922*g**2 + 2*g wrt g?\nAnswer: 744*g - 98292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x. Let l(o) = -588*o**2. Determine l(j(z)).\nAnswer: -2352*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + 3 + -5 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10.65367677 - 10.65794. What is p rounded to 4 dps?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 38484 + 20219. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 + 10*j**2 - 8*j - 6. Let w be l(9). Suppose -7*x = -w*x + 240. What is the lowest common multiple of 6 and ((-4)\/(-3))\/((-8)\/x)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 2*i + 8 = 0. Suppose -s + 5*b + 3 = -i, 2*s - 3*b - 35 = 0. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + m**2 + 13*m + 19. Let h(u) = -2*u**3 + 2*u**2 + 23*u + 38. Let z(q) = -4*h(q) + 7*t(q). Let a be 0\/(12\/(3 + -7)). What is z(a)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.0337, 7, 5, 0.5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 3*n. Suppose 4*u - 22 = -6. Suppose 0 = -3*c + u*l - 1 + 2, 2*l + 6 = -4*c. Let b be q(c). Is b bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 7*w + 1. Let s(d) = -1798*d - 186. Let y(q) = -s(q) - 186*t(q). Let i(l) = -l**2. Calculate y(i(h)).\nAnswer: -496*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*w**2 + 17*w - 107*w**2 - 17*w to j*w**2 + d*w + p and give j.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 5*b**2 + 6*b + 2. Let i be k(6). Let f be -9 + 8 + i + 1. Solve -n + 2*g - 6 = -f*g, -4*g + 2 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**5\/5 - z**3\/3 + z**2 - 18*z + 2. Let s(x) = x**3 - x. Calculate s(y) - t(y).\nAnswer: -3*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - 2)\/((-6)\/(-8)). Let s(g) = 5*g**2 - 2*g + 3. Let w(l) = 18*l**2 - 7*l + 10. Let u(p) = 7*s(p) - 2*w(p). Determine u(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -153113 (base 9) in base 11?\nAnswer: -647a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*v = 5, 0 = -0*w + 5*w + 2*v + 1. Let d be w + 58 + (0 - 3). Let l = d + -28. What is the remainder when l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 480778092 by 36.\nAnswer: 13354947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12337 - -888199\/72. What is the common denominator of -65\/64 and r?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2261, 4352, 6443, 8534, 10625, 12716?\n\"Answer: 2091*a + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-27)\/(-24))\/((-81)\/(-864)). Let o(m) be the first derivative of -2\/15*m**5 + 0*m**3 + 0*m**4 + 0*m + 0*m**2 - g. Let o(a) = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s**5 + 322745*s**4 - 10008250*s**3 + 106550500*s**2 - 419765000*s + 322900000 = 0. Calculate s.\nAnswer: -64580, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2\/(-5) + 144\/432?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 6) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(4 + -2 - 3). Suppose -4*w - 5*x = 21, -6*w + 2*w - x - 17 = 0. Sort w, 0, y in ascending order.\nAnswer: w, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2181 - -2137. Put i, 37, 0.5, -4\/5, -5 in decreasing order.\nAnswer: 37, 0.5, -4\/5, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30042165 a multiple of 1178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 6:38 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.14 + 3.84. Let p = 0.25 + 0.05. Let y = p + h. What is the third smallest value in y, 3\/8, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37488)\/4260 - (-2 - (-64)\/20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12405 is divided by 210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 59760 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.79096 less than 1.6?\nAnswer: -157.19096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 2*m - 3*m)*(0*m + 0*m + 2*m) + 0*m + 17*m**2 + m - 10*m**2.\nAnswer: 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = 7*z + 101. Let i = -56 - z. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1726815883*z**3 + 1726815909*z**3 - 3453631790*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 - 2*t**2 + 9*t**2)*(-t**2 + 3*t**2 - 4*t**2) + (12*t**2 - 8*t**2 - 5*t**2)*(-2 + 2 - 2*t**2).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 3*i = 9, g = -i - 1 - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -2.6. Let f be (-4 - (-5)\/1)\/(-2 + 3). Which is the closest to f?  (a) w  (b) -3\/2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-6)*-2)\/(((-48)\/640)\/((-18)\/45))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 582864 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -32 + 132. Suppose 0 = 3*g + y - u, 4*g - 89 = -5*y + 26. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.2, -7\/551, -1\/3, 1\/2, 0 in descending order.\nAnswer: 1.2, 1\/2, 0, -7\/551, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.48 + -28.52. Let p = -28.9 - u. Let k = p - 0.4. Which is the third biggest value?  (a) k  (b) 3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14361 in 5, -1, 80, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/6?  (a) 4  (b) 10\/7  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 64*r + 284. Let w be x(-59). Solve 24 = 575*n - w*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1003731666899\/107 - 833167548223685017\/88817490. Let u = 18\/9223 + p. Let j = -422\/9 - u. Calculate the common denominator of j and 87\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.9, 0.3, 1, 21793?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + 6*t + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33)\/(-63) + -3*6\/27?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/20650 and -35\/26196?\nAnswer: 4584300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/1*8\/(-24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237*r - 10 = -242*r. What is the tens digit of 3849\/6 + (-2 - -3)\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1455 times -363.679\nAnswer: 529152.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4093*o**2 + 2048*o**2 - 758*o**3 + 2047*o**2 + (o - 3*o + 0*o)*(6*o**2 - o**2 - 2*o**2).\nAnswer: -764*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 348275.\nAnswer: 5, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 11:40 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/4 - 384788*j + 148061804944.\nAnswer: (j - 769576)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 24101204 (base 5) to base 15\nAnswer: 45bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is the hundred thousands digit of 41365496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fzzf when four letters picked without replacement from {z: 3, g: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01 or 15?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -42060 and -1618.\nAnswer: 68053080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43558, -42866, -42172, -41476, -40778, -40078?\nAnswer: -39376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 101, 183, 265?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 10  (b) 3  (c) -4  (d) -2\/35  (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -816*o**2 + 0 + 1 + 0.\nAnswer: -816*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68698*f**3 + 32908*f**3 + 35800*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 69*j + 4. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -z**3\/6 + 20*z**2 - 19*z. Let p be v(22). Solve -3 = 5*x - p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2244 - 2238. Solve l*t = -t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3091)\/(-99) - (-2)\/(-9). Suppose 4*z = -4*m, 0 = -2*z + 32*m - k*m. Solve z = 2*f + 3 - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-10))\/(1\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (89*y**3 - 25*y**3 - 33*y**3)*(169*y - 279 + 279) in the form q*y**2 + v*y**3 + u*y + s*y**4 + o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 9*r**2 - 11*r - 5. Let i be q(-10). Suppose i*a + 34 = 3*g, 3*a = -g - a. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-16)*2)\/((-64)\/768).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + -211?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21598 is divided by 829.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3901078 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jcc when three letters picked without replacement from {c: 4, a: 2, w: 2, t: 1, j: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/4, 1\/2, -0.022?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 2. Let f(j) = j**m + 2*j**2 - 5*j**2. Let n(b) = 4*b + b - 3*b + b. Determine f(n(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, 5, -7\/353, -1 in ascending order.\nAnswer: -1, -4\/7, -7\/353, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = -5*m - 160. Let f = 66 + m. What is the remainder when 49 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 15*m**2 - 30*m + 50. Let k be w(13). Let v be 0*(-4)\/20*k\/(-2). Which is smaller: 19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*i**2 + 57\/7*i + 6\/7.\nAnswer: -3*(i - 1)*(21*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160919380 divided by -40229845.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000121833887 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23587 = 757*m - 13562 + 6272 - 6973 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -4*b - 15. Let z(x) = -1. Suppose -f - r = -12, -70*r = -3*f - 75*r + 50. Calculate f*z(d) - q(d).\nAnswer: 4*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 9:08 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36248241 - 36248232.9999999. Let q = u + -8. What is q rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32.259*-6.\nAnswer: 193.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2249369024 minus -1.3?\nAnswer: 2249369025.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4 = -5*d, 0 = -5*g + d - 10 + 56. Suppose 3*z - g = -0*z. What is the derivative of 1 + s - 3 + z wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**4 + 10290*u - 4 - 5150*u - 5143*u - 10*u**3 to t*u**2 + q*u + w*u**4 + c + v*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6989710*i**3 + 2991613 with respect to i.\nAnswer: -20969130*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - g - 15 = -4*g, -4*z - 60 = 4*g. Calculate the common denominator of -49\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -18, 2, -158, -4 in ascending order.\nAnswer: -158, -18, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 87362*f**3\/13 + 9695510*f**2\/13 - 185584*f\/13 + 888\/13.\nAnswer: 2*(f + 111)*(209*f - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -69*b**2 + 7*b + 6. Let z be n(-1). Let g = -46 - z. Suppose 13 = 4*i - 3. Solve 0*k + 2*l - 8 = -4*k, g = i*k - 2*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 128\/(-10) + -1 + ((-5676)\/(-165))\/43. Let z(w) = -w**3 - 17*w**2 - 53*w - 25. Determine z(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -1. Let h(r) = r**2 - 4. Let y be (3\/1)\/(4\/(-4 + 0)). Let v be (16\/12)\/(1\/18). Suppose 3*l - v = l. Determine l*z(s) + y*h(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 889.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 AM and 10:59 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1313 + -617. Let o be (-2)\/(-15) + m\/180. Suppose d - t + 5 = t, 4*t = -4*d + o. Is d at least as big as -8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -5. Suppose -b + 3*o - 2 = -1, -o + 7 = y*b. Let s(n) = 2*n**2 + 3*n**2 + 0*n**2 - n**b. Let d(i) = 4*i**2. Determine s(d(q)).\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 583 + 5 = 6*m. What is the remainder when m is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 23*p**2. Let s(b) = 31*b. Calculate k(s(i)).\nAnswer: 22103*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i\/((i*i**7)\/i)*i\/i**19*(i*i*i\/((i\/(i*(i*i**(2\/63))\/i*i))\/i))\/i*i**(-11)\/i assuming i is positive.\nAnswer: i**(-1951\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**3 - 3*c**3 + 37*c**6 + 7291*c**2 - 7450*c**2 wrt c?\nAnswer: 4440*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = g - 1. Suppose -3*u - g*u = -955. Suppose 516 = 5*t + u. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.17065977 - -0.4.\nAnswer: 0.57065977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -3. Let f = 127\/21 + -40\/7. What is the third smallest value in t, f, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/2697 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2086204, 2086205, 2086206, 2086207?\nAnswer: 2086208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(-24))**4 assuming d is positive.\nAnswer: d**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-131296)\/167104)\/(22\/16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -7*g**2 + 749*g - 8964. Give x(93).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of t**7\/21 + 11*t**5\/60 - 9*t**2. What is the third derivative of n(b) wrt b?\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from hhsut.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**1)**(-27)\/(k*(k\/(k\/k**(2\/11)))\/k*(k\/(k\/(k*k**5)))\/k))**(3\/28))**42 assuming k is positive.\nAnswer: k**(-513\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5412 and 36.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4302837?\nAnswer: 3, 7, 11, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 23*w + 560. Let s be o(-24). Let q be 2 + (-9)\/(18\/20). Sort 1, s, q, 3.\nAnswer: q, 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22852259?\nAnswer: 881, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-160))\/(6\/16).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -5*k**2 - 5*k + 3*k**3 + 6 + 8*k - 4*k**3. What is s(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.9 + -3. Let i be 46\/(-36) - (-54)\/36. Which is the biggest value?  (a) -1\/2  (b) i  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 603 divided by -4\nAnswer: -603\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*n + 16. Let f = -0.2 + -0.3. Which is the nearest to n?  (a) f  (b) 0  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 12:02 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1659, -6621, -14893, -26481, -41391, -59629?\n\"Answer: -a**3 - 1649*a**2 - 8*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 1. Suppose 12 = a - 2*f + 4*f, 0 = 5*a - 2*f. Let h(s) = 10*s - 8. Let y(p) = a*h(p) - 14*b(p). What is the first derivative of y(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*q**6 - 80*q**5 - 1695*q**2 wrt q?\nAnswer: -480*q**3 - 4800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*t = z - 21*t - 20, 2*z = 3*t + 46. What is the remainder when 491 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 1. Let i be q(3). Suppose -s - 99 = -4*s + 4*d, 132 = i*s + d. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -3, -2621, 0, 4 in ascending order.\nAnswer: -2621, -3, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-40)\/(-26) + 168165\/48581. Factor 0 + q*x - 1\/5*x**2.\nAnswer: -x*(x - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1316 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 4*z**2 - 4*z + 4. Suppose 0 = 3*p - 4*p + 4. Let m(f) = f**3 - 3*f**2 - f - 8. Let b be m(p). Let t be a(b). Which is smaller: -11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 + 2647*x**3 - 3*x**2 + 4*x**2.\nAnswer: 2647*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -472.8 + 514. Let f = 41 - w. Sort 4\/9, -2\/13, f, 320 in descending order.\nAnswer: 320, 4\/9, -2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 519094943?\nAnswer: 1481, 350503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/12546 and -47\/738.\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -277  (b) -144  (c) 0.5  (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2137.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 6\/13  (c) 4  (d) 0.4  (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*l - 4*c, -l + 3*c - 5 + 3 = 0. Let b(i) = 117*i**2 + 3*i + 11. Let w be b(l). Suppose 4*r - w = 327. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36259, -290089, -979051, -2320711, -4532635?\nAnswer: -7832389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1644158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t + 3. Let a(p) = -p**3 - 11*p**2 - 11*p - 12. Suppose 10*c + c = -110. Let v be a(c). Let z(y) = -3*y - 2. Determine v*k(r) - 3*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/31 in -16, 15423, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 207 and 108704394.\nAnswer: 108704394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*(33\/(-154))\/((-12)\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 723 and 14956.\nAnswer: 10813188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {s: 6, v: 5, h: 1, g: 1, m: 3, k: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8424 and 60.\nAnswer: 42120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (35\/735)\/((24\/3 - 5008\/624)\/(-3))?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -74240 divided by 7424\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-30)*f)**(-23) assuming f is positive.\nAnswer: f**667","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*k + 17. Let f(h) = h + 22. Let l = -46 + 59. Calculate the remainder when l is divided by f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(325)*-2*3*-1*-3.\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + 36\/(-30))*(-125)\/(-15). Which is the closest to -4?  (a) 1  (b) 0.03  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nzznnn. Give prob of picking 2 z and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/6)\/(((-532)\/294)\/38).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*g - 350 = -3328 + 425. Solve 14*k + 222 = -g*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 8:43 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 2\/1311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d + 11*d = -8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 246*l - 185*l - 153*l.\nAnswer: -92*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*l + 39*l + 22*l)*(-l**2 + 5*l**2 - l**2)*(-2*l**2 - 2*l + 2*l).\nAnswer: -246*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 59659385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 21*f**3 + 4*f**2 + 14*f - 4. Let l be y(6). Suppose 9*h - 4*h + l = 0. What is h rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 + 9. Let u = q - -24. Calculate the lowest common multiple of u and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01796057 rounded to five decimal places?\nAnswer: 0.01796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20298, 20414, 20530, 20646?\nAnswer: 20762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (186 + 266 + 208)*(-7 - h + 7)*(0*h - 3*h + 0*h).\nAnswer: 1980*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/3 and -115\/1326.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12\/(8\/(-101)*32\/(-128)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 104\/36 + (-21)\/7. Which is the nearest to 1?  (a) -1  (b) t  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20 - -2) + (24 - 27 - 8) - 17\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1308755*g**3*w**3 + 2*g**3*w**2 + 13*g**3*w + 1817*g**2 wrt w?\nAnswer: -7852530*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = 1072*w - 1062*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/4 - -2)*20. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5072 + 58 + (6 - 1). What is the greatest common factor of t and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65830 take away -1.1?\nAnswer: 65831.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 137*d + 404. Determine r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 - -7 - -3 - -27 - -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 PM and 8:23 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 340800 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1030 is divided by 227.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1105*h + 237*h - 13624 = 294*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2587 - -12209. List the prime factors of y.\nAnswer: 2, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -27 - (-11 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -15. Let p = t + -5. Let j = -0.99999 - p. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 1820*z**2 + 87*z - 87. Is d(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 423178 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = -2*r - 5*f, 2*r + 4*f + 194 = 7*r. What is the third derivative of -348*z + 348*z - 1 + r*z**2 + 52*z**3 wrt z?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95.42698 millennia in centuries?\nAnswer: 954.2698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 9, 2, 5, 3, -5991 in descending order.\nAnswer: 9, 5, 3, 2, -1, -5991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 8*u**2 - 12*u. Let v be r(-6). Suppose -4*w + 39 + 1 = v. Suppose 0 = -3*n + 5*y + 10, -n = 2*y - 8 - w. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 11:00 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -637 - 1231 = 169*t - 347 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 178380.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = 2*r - 4*w, 0 = 3*r - 4*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((1\/2)\/(1\/(-300)))\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001078838472 rounded to six decimal places?\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 + g**2 - 4*g + 16. Give i(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 17. Let v(x) = 5 + 13*x**2 + 708*x**3 - 352*x**3 - 355*x**3 - 3*x**2. Give v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -127  (b) -3  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = r - 40932. Let w be (-5)\/200*-10*12. What is the first derivative of 18 + r*h + 49*h**w - 10233*h wrt h?\nAnswer: 147*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111649*h + 114734*h = -388710 for h.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3655, 14562, 32741, 58192?\n\"Answer: 3636*p**2 - p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1120 a factor of 6533773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**3 + 3*h**3 + 0*h**3)*(23 - 3381*h + 1687*h + 1711*h).\nAnswer: 17*h**4 + 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 669\/8 + -83. Find the common denominator of -79\/48 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10021121112 (base 3) to base 13\nAnswer: -23531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -1 - d + 1 + 8. Let w be s(5). Suppose 3*g + 18 = 2*h, -w*h = -0*g - 2*g - 17. Solve -5*a + l = 2*l + h, -2*a = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -47473 or -47475?\nAnswer: -47475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -1118  (b) -11  (c) -1\/4  (d) 0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 351*j + 20760. Give i(52).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, n: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(540\/(-8)) + 6703\/15. Suppose -2*n + 190 + 103 = -j, 3*n = 3*j + o. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 240, 234, 226, 216?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 - ((-13 - 1) + (-50 - -54)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -128*h**2 - 96*h + 96. Let v(m) = m**2 + m - 1. Give k(j) + 96*v(j).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 37*s - 9*s**3 - 34*s + 16*s**3 + (-1 + 1 - 2*s**2)*(-s - 13*s + 5*s).\nAnswer: 25*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 397312.7m to kilometers.\nAnswer: 397.3127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3100.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 + 41. What is the highest common divisor of 98 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -410 (base 10) to base 9.\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 6 - 19)*(-24 + 7 + 8)*(l + 0*l + 0*l + (-l + l - 2*l)*(2 - 1 + 1) + 4*l - 3*l - 2*l)*(3 - 3 - 2*l**2).\nAnswer: 1440*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 times -90664.1?\nAnswer: 1722617.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b**2 - 124\/5*b - 4\/5*b**3 - 24 = 0. Calculate b.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2006*o**2*y + o**2 + 10*o*y - 3*o + 72852*y wrt o?\nAnswer: -4012*o*y + 2*o + 10*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u - 7. Let f be c(4). Let l be (-2)\/4*-8 - f. Suppose 0 = -3*v + 2 + l. Solve -p + 3*n = 11, -v*n + 0 - 1 = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n**2 - 2*n**2 + 0*n**2)*(3*n - 2 + 2) + (2*n**2 - 2*n**2 - n**2 + (4 + 2 - 4)*(6*n**2 + n**2 - 3*n**2))*(15*n - 108*n + 44*n).\nAnswer: -334*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or 28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 164907886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes after 8:09 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 3*n**3 - 5*n. Let u(w) = 4*w**3 - 4*w + 1. Determine 3*o(z) - 2*u(z).\nAnswer: z**3 - 7*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/7  (b) -4  (c) -1  (d) 1\/197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c - 6946 = 704. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 39  (b) 2  (c) 3  (d) 0.053  (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -134?  (a) 195  (b) 1.1  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -12, -3, 3, -4, 409.\nAnswer: -12, -4, -3, 3, 5, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*k**2 - 5 - 29 + 34.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 5*d - 6, 5*d = 4*v - 14 - 0. Let c(h) = -h**2 - h + 1. Let w be c(v). Let o be w - 1 - 5\/(-1). Solve -4 = o*t - 2*b + 6, b = 2*t + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -902625 divided by -3.\nAnswer: 300875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 3 = -3. Let b = -2 - 1. Let a be (-8*3\/b)\/2. Solve 0 = -a*y + 6*y + 10, p*y + 8 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 4*j - 1774 = 0, 4*i = -j + 1035 - 3375. Let r = i + 593. Sort r, -16, 5, 0.\nAnswer: -16, 0, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - w - 27468 = 0. Suppose 22*q - 6041 - 5355 = 0. Let n = w - q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 68*b**2 + 335*b + 89. What are the prime factors of f(71)?\nAnswer: 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 16000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.251, 0.1, -5, 4, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 259*b - 536*b + 263*b + 3206. What is the remainder when 712 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 215, -1, 0, 4, -8, -3 in ascending order.\nAnswer: -8, -3, -1, 0, 4, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 21688984 a multiple of 1480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -245, -500, -757, -1016, -1277, -1540, -1805?\n\"Answer: -i**2 - 252*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -181.659 or 1?\nAnswer: -181.659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4544?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 42 = -2*g, 3*g = -2*g + 25. List the prime factors of 460\/16 + 2\/s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 1. Let l(r) = -r**2 + 4*r + 10. Let y be l(-5). Let t be (-24)\/y - (-6)\/(-15). Which is greater: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*x = 45*x - 25935. Let q = -46736\/9 + x. Let g = 573311\/231560 - 5\/5789. Find the common denominator of q and g.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 7*h. Let a(t) = -3*t - 4. Calculate l(a(z)).\nAnswer: -21*z - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-5 - -10) - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.579 - -0.979. What is the nearest to 2\/25 in -4, 1.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {h: 1, g: 2, q: 2, m: 2, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/(-8))\/(3*4\/(-624)). Let c be (a\/13)\/(1\/3). Solve -19 = v - 5*y, v + c*y + 7 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.8 - 0.2. Let u = -2\/27 - 23\/54. Let k = -115.2 - -115. Which is the closest to u?  (a) 2\/5  (b) k  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6359)\/(-132) - 2\/(-3). Let n = -15\/44 + j. Let m = 6655\/744 + -276\/31. What is the common denominator of m and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 5*x**3 + 2*x**2 + 3*x - 4. Let v(u) = 5*u**3 + u**2 + 2*u - 3. Let m(g) = -3*a(g) + 4*v(g). Let h be m(-1). Is 18 a factor of (-4)\/h - 106\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - 2041?\nAnswer: -203b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 11. Suppose -3 = 2*b + 1, d - 4 = t*b. Suppose 0*r - 4*r = d. Solve -2*u + 2 = -r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 5 - 3, -5*o + 840 = -5*j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of s**3\/3 + 2*s**2 - 2*s + 4. Calculate w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**2 - 5. Let y be v(-4). Let s = y + -19. Solve -4*q = 4*r - s, -3*r + 2*q + 0*q - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wjwjjwjwww. What is prob of sequence jw?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-7)\/(-2) + -3)*0. Suppose x = 3*b - 5*b + 1760000. What is b rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5229 - 3*s + 5229.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/6 - 217\/(-42). What are the prime factors of -10*1\/((-2)\/q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 177221.58 rounded to the nearest 1000?\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -103*d - 64*d**5 + 36*d**5 + 40*d**4 + 30*d**5 wrt d?\nAnswer: 40*d**3 + 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 10 - 1)*(7*d**3 + 5*d**3 + 12*d**3)*(-d**2 - 3*d**2 + 5*d**2 + (-2*d + 0 + 0)*(-2*d + 4*d - d) + 13 - 13 + 4*d**2).\nAnswer: 648*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of 0*p - 3 + 1\/2*p**4 - 4\/3*p**3 + p**2. Factor n(i).\nAnswer: 2*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v - 3, -13*w + 6 = -18*w + 3*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 412938882779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 223*y**3 - 2*y**2 + 96*y + 2.\nAnswer: 1338*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h**2 - 5*h - 8. Let i be s(6). Let t be (i\/(-15))\/((-2)\/3). Solve -3*k + 0*b + t = b, k = -5*b + 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53 - 139*s + 53 + 139*s + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-103 - -88) + (-5 - -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 + 30)*(-2*t**5 - 6*t**5 + t**5 + (-2*t**4 + 2*t - 2*t + 3*t**3 - t**4 - 3*t**3 + (0*t**2 + 2*t**2 - t**2)*(-3 + 3 - 2*t**2))*(-6*t + 7*t + 6*t)).\nAnswer: -1092*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.1, 1\/2, 17\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a millennium in years?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 212*v**2 - 877*v - 183. What is j(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 15) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 5*t + 44 = -367 + 48, -2*j - t + 87 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 222933 or 222700?\nAnswer: 222700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -10, -1\/6, 0.5, 2\/13 in ascending order.\nAnswer: -10, -0.2, -1\/6, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13\/(-182)*82)\/(246\/(-1722)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 6*l + 5. Let y be k(-5). Suppose -w + 7 - 3 = y. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 6963 and 132269\/19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ajhnhn. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i. Let h(f) = 2*f**2 - 6*f + 5. Let u(c) = 2*a(c) + h(c). What is u(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -10*(-15)\/680*4\/6 and 57\/20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-2 - -6)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000339136 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 3 - 13 = 0. Suppose 0*b + 12 = r*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -134*i**2 + 255*i**2 - 131*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -19 - 4 - (2 - 5). Let r be (-25)\/a + 1\/4. Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w - 2. Let v be q(2). Let j = -3 - v. Suppose 10 = -2*u - y - j, 3*u + 2*y + 20 = 0. Which is smaller: -5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g - 40. Let u(y) = 1. Let h(t) = 2*n(t) + 44*u(t). Let p be h(-9). Solve -3*x + 8 - 2 = p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5461937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 388 - 388. Let l = 1 - 6. Sort l, -3, n in descending order.\nAnswer: n, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 13*w**2 - 160*w + 40. What is p(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 6*w - 11. Let k be z(-4). Let f = -34 - k. What is the second derivative of -12*l - 13*l**3 - f + 1 + 6*l wrt l?\nAnswer: -78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/13*o**3 - 8\/13*o**2 - 170\/13*o + 176\/13 = 0 for o.\nAnswer: -8, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 674 - 594. Let x = 1 - -1. Suppose x*j - g = -2*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 872970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v - 56 = 19*v. Calculate the least common multiple of ((15\/(-35))\/1)\/(2\/v) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + (-2)\/((-6)\/9). Suppose 0*g + 8 = h*g. Solve r - g = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14205 + -14167. What is the highest common factor of 27493 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b - 2*b - 8. Let q be b\/(-3) + 64\/(-120). Suppose -12 + 12 = -5*o. Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32587 - 32590. Suppose 10 + 0 = -5*o. Sort d, 1, -1, o in ascending order.\nAnswer: d, o, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 0 - 318\/(-316). Let a be ((-2)\/(-6))\/((-7)\/(49\/7)). Is a != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7882)\/1568 + 5)\/((-66)\/8 - -8).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20)\/(-6)*(-21)\/(-14). Suppose 0 = -p*z - 4*x + 958, -z - 756 = -5*z + 2*x. Round z to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 divided by -42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u**2 + 30*u - 75 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w + 2*l - 108 + 97, l - 5 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 3*f**2\/4 - 12783*f\/2 + 54468363\/4 = 0.\nAnswer: 4261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 444 a factor of 11417499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 76\/(-10) + (-110)\/(-22) + (-26 - -31). Factor -12*p - w*p**3 + 5 + 46\/5*p**2 + 1\/5*p**4.\nAnswer: (p - 5)**2*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -119 plus -297093979507?\nAnswer: -297093979626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 432 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2.8, 0.3, -70\/11, -5, -4, 0.2?\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of 5*t**5\/3 - 125*t**4\/24 + 65*t**3\/2 + 40*t**2. Let q(s) = -7*s**2 + 9*s - 14. Let v(n) = -6*j(n) - 85*q(n). Factor v(g).\nAnswer: -5*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g**3 + 4*g - 4. Let l(k) be the third derivative of 1\/8*k**6 - 5*k - k**2 + 0*k**5 - 7\/2*k**3 + 7\/8*k**4 + 0. Give 4*l(i) - 21*t(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 78*d**3 - 35*d + 5*d + 14*d + 11*d**3 - 15*d**3 in the form j + l*d**2 + r*d + t*d**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -30. Let o = v - -33. Suppose -2*m + 2*c + 268 = 0, 0 = m + 5*c - 0*c - 122. Calculate the highest common factor of m and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7544)\/20 - 32\/40. Let l = 441 + n. What is the remainder when 564 is divided by l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/27 + -6 + 133\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 21  (b) -1\/2118  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**5 + 78*c**4 + 607*c**3 - 134332*c**2 + 458832*c + 60736192.\nAnswer: -(c - 44)**3*(c + 23)*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**3 - 16461*c**2 + 26*c - 11 wrt c.\nAnswer: -6*c - 32922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away -901230407?\nAnswer: 901230406.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 72*g**5 + 717*g**4 - 53*g**3 + g**2 + 1168050*g + 3 wrt g?\nAnswer: 4320*g**2 + 17208*g - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {q: 1, a: 1, h: 5, s: 3, y: 2}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/16)\/(36\/(-357408)*17).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -15 - 13*f + 10 - 18*f + 4. Calculate the remainder when 85 is divided by c(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8184, -8606, -9296, -10254, -11480, -12974, -14736?\n\"Answer: -134*f**2 - 20*f - 8030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 12*c = 45*c + 295 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c + 10*c = -14*c. Solve c = -3*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 10:58 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 245788733 and 2248.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 786071 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (15 + -1)\/(2 + 60\/(-25)). Let z be ((10\/b)\/((-6)\/(-28)))\/2. Which is greater: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 211*q**3 - 38*q**2.\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4*q + 152 = 5*x, -5*x - 4*q + 190 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -0.09, 7.\nAnswer: -0.09, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(10\/3)*24*(-105)\/(-2016).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -124*w**3 + 10*w**2 - 5*w - 1221. Let a(p) = 61*p**3 - 4*p**2 + 2*p + 611. Let j(s) = -5*a(s) - 2*d(s). Differentiate j(i) with respect to i.\nAnswer: -171*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/2*6\/(-9). List the prime factors of (p - 3)\/((-6)\/15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 229885 to the power of 1\/2, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.59276 to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*w + 1330 = -325*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -675, -574, -467, -348, -211?\n\"Answer: r**3 - 3*r**2 + 103*r - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34.816 - 20.09. Let o = t + 0.074. Let p = o + -14.8000101. What is p rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26.06423 * 3.3\nAnswer: 86.011959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 234 = 242. What are the prime factors of k?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.45 plus 327941?\nAnswer: 327939.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 3*p**2 - 2*p - 3. Let h be o(4). Suppose -4*y = -2*u, -5*y = -u - 4*u + h. What is the derivative of z**3 + y + 0 + 2 wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -1\/7  (c) -5  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 6:04 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 87171 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 7 - 3 = 0. Let y be (7 - 9)*x\/(-2). Solve y*n = 4*k, 4*n + n - 3*k + 5 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -12*p + 414. What is the lowest common multiple of 12 and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from {x: 3, t: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h + 1. Let s(n) = -5*n - 2. Let r = 4405 - 4407. Calculate r*s(b) - 6*m(b).\nAnswer: 16*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 3:52 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, o: 2}. Give prob of sequence tt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 15 = 0, 5*x = -0*w - 4*w + 19. Suppose 5*t - w = 4*t. Which is smaller: t or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.03 - 0.03. Let o = 1 + -0.7. Let r = -4 - -4.2. Which is the biggest value?  (a) d  (b) r  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 8:16 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/(h\/h**(-1\/12)))\/h**0 assuming h is positive.\nAnswer: h**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5 + 2 + (11 - 3). Suppose 18160694 = -v*g - 17839306. What is g rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 + 1. Let r = 27 + -35. Let p(j) = 6*j + 42. Let z be p(r). Let i(d) = -7*d**2 + 2*d - 4. Determine z*l(y) - i(y).\nAnswer: y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21 and -48924.\nAnswer: -1027404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 400.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 1*((2 + -3*sqrt(931) + -4)**2 - (-3 + ((-3*sqrt(931))**2 + -3 - sqrt(931)))).\nAnswer: 8 + 91*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 31506471.5 + 70.1.\nAnswer: 31506541.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28896 is divided by 474.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.5 + -7.4. What is the nearest to l in -0.5, -0.047, 0.3?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2159067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1024593*b*c**3 + 2*b*c - 2330*b + 11*c**3 + 2*c**2 - 3*c + 230 wrt c?\nAnswer: 6147558*b*c + 66*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of 23*s**2\/2 - 5*s + 237. Let x(o) = 666*o - 144. Calculate 144*q(z) - 5*x(z).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 + 174132520*l - 174132525.\nAnswer: 5*(l - 1)*(l + 34826505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, -4, 5068, 1 in descending order.\nAnswer: 5068, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -3*d + 75, 10 = 1959*d - 1961*d for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 11*n**2 + 8*n - 9. Let v be t(-10). Find j such that v*j + 6*j**2 - 3*j**2 + j**3 - 9*j = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.01211 - -0.003. Round z to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let z(u) = -11*u + 20. Let j be z(9). Let k(b) = -b**3 - 18*b**2 - 22*b + 24. Let c be k(-17). Let n = j + c. Calculate the highest common factor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 64 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 537546?\nAnswer: 2, 3, 89591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 5*s**2 - 4*s + 2. Let d be o(4). Suppose -d*m = -5*m + 15. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 + -21. Let v(z) = z**2 + 27*z - 202. Let o be v(-34). Suppose -38*d + o*d + q = 0. Calculate the smallest common multiple of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220 is divided by 96?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-6\/7)*i*i*i**(-2\/11))\/(i**(-7)\/i**2) assuming i is positive.\nAnswer: i**(767\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 10:25 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -m - 87, -m = -4*m + 15. Suppose -13 = f - 4*h, 10*h - z = -f + 5*h. Solve f*r + 11 = 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g - 3*g**3 - 3*g + g - 2 to s + y*g + j*g**3 + t*g**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 444, 895, 1358, 1839, 2344, 2879?\n\"Answer: t**3 + 444*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*s**2 - 4*s**2 - 11*s**2 + (2 - 1 - 2)*(s - s + 5*s**2) + 2*s**2 + 3*s**2 - 3*s**2.\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 88733*d*g*s**3 - 487*d*s**3 + 2*d*s**2 - 135*d*s - 15*d + 2*g*s - 19*s**2 - 13*s wrt s?\nAnswer: 532398*d*g - 2922*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -15381*t. Let o(c) = -572*c**2. What is s(o(w))?\nAnswer: 8797932*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -80 - -112. Suppose -f + v = f. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 964867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-7 - (-9)\/3)\/(-2 - -4). Sort 2, -3, q, 1 in descending order.\nAnswer: 2, 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -816, 4769, 10352, 15933?\n\"Answer: -r**2 + 5588*r - 6403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -k - i, -4*k + 4*i + 0 = 4. Suppose 0 = k*z - z + 6, -4*z + 92 = 2*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m + 5499 - 5397 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.6 + -0.7. Suppose -4*l - 3*r = -27, -4*l = -6*l + 2*r - 4. Which is greater: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15916949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10603*h - 17390*h = -217184 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*b**3 + 72*b**3 - b**2 - 30*b**3 - 12*b**2 + 6 + 49*b**3.\nAnswer: 138*b**3 - 13*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 + 7*i - 36. Let s(q) = -q**2 - q + 5. Calculate m(b) + s(b).\nAnswer: b**2 + 6*b - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 16*n + 42. What is q(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - 5*k**2 - k + 5. Let a be v(5). Suppose 141*u - 1390 - 20 = 0. Solve -2*j + u - 6 = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 AM and 7:13 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b - 59*b**3 + 1485548*b**2 - 1485548*b**2.\nAnswer: -59*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*(-435)\/45)\/((-21 - -20)\/(-1)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 8*n - 8. Let k be h(-6). Suppose 9 = o - k*o. Let t = o - -5. Solve -5*i = 3*j - 5, -5*j - 4*i + t = -2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -52 - -56. Let c = n - 10. Let l be (-26)\/3*9\/c. Calculate the greatest common factor of 39 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6 - (5 + (-16 - -3)). What is the first derivative of 5*s**2 + 119 - 27*s + 3*s**r + 14*s + 17*s + 8*s**2 wrt s?\nAnswer: 32*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72 or -50?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153686820.\nAnswer: 2, 3, 5, 7, 19, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 124*h**2 - 3*h - 370. Let k be i(-124). Solve -k*y + 53 = 57 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 - 27. Let a = -2496 + 2496. Let c = 0 - 0.4. What is the closest to a in c, -0.5, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/13)*b)**31)**(8\/7)\/(b**(-3\/11)\/((b\/b**(-1\/6))\/b)*b**(-2\/11)\/(b\/(b\/(b**(-4)*b)))) assuming b is positive.\nAnswer: b**(231233\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -246522, 0 in decreasing order.\nAnswer: 7, 0, -246522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 83 - 83.4. Which is the third biggest value?  (a) 1  (b) 1\/3  (c) r  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 9:51 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/254309 + 27211231\/21361956. Calculate the common denominator of 127\/24 and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -458900 > -459343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27 and -1767796.\nAnswer: -47730492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + -0.3. Suppose -74 - 76 = -29*h - 179. Which is the closest to -2\/9?  (a) h  (b) 2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 8 = -4*o - 0*o, 2*n = 5*o - 13. Solve 0 = 2*q - 0 + n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260562 bigger than -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m + 0*m + 0*m)*(-2 + 2 + 2*m) + 2185*m**2 - 227*m**2 + 181*m**2 as j*m**2 + i*m + c and give j.\nAnswer: 2135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + z**2 - 2*z - 1. Let p(b) = -2*b**3 + 151*b**2 + 12*b + 6. Give 6*o(k) + p(k).\nAnswer: 4*k**3 + 157*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**5\/9 - 3116*c**4\/9 + 12454*c**3\/9 - 18676*c**2\/9 + 12449*c\/9 - 3112\/9 = 0 for c.\nAnswer: 1, 3112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/5 of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*sqrt(121))\/(sqrt(44)\/sqrt(36)).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/7980 and 45\/16.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 + 63 - (-11 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -51, 2, 166 in decreasing order.\nAnswer: 166, 10, 2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 51, -1 in increasing order.\nAnswer: -1, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10.1 + 9.9. Let w = -3 - -5. Which is the nearest to w?  (a) -2  (b) j  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 327 = -r + 330, -6*j = 3*r - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 d, and 2 y when four letters picked without replacement from {d: 1, z: 2, w: 6, y: 4}.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -j + d - 2, -4*d = 3*j + 441 - 449 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**2 + 316. Let s(r) = -7*r**2. Determine s(z(v)).\nAnswer: -28*v**4 - 8848*v**2 - 698992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-3))\/((220\/30)\/(-11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**2 + 3*n**5 + n**2 - 2*n**3 + (-4*n**2 + 0*n**2 + 2*n**2)*(-3*n**3 + 3*n**2 - 3*n**2).\nAnswer: 9*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*t - 60 = 3*z - 8*t, 16*z + 22*t = 24*t + 90 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -159 - -162. Suppose 3*t + 873 = u*i, t = 6*t. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118787*v + 123712*v - 517125 = 0 for v.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -1922*s**3 + s**2 - 6*s - 8. Is t(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 269403 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of -23*c**7\/42 + 7*c**3\/3 + 18*c. Find the second derivative of d(j) wrt j.\nAnswer: -460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3700, -3582, -3470, -3364, -3264?\n\"Answer: -3*q**2 + 127*q - 3824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -147.7750765 - -0.02.\nAnswer: -147.7550765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/5, -1\/4, 5.4?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2 + -1 - (1 - 15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*h + 19 - 19)*(6*h - 7*h - 22*h) - 2 - 7*h**2 + 2 + (h + 0*h + h)*(4*h - 3*h + 0*h) as t*h**2 + a + p*h and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 51\/4 of a gram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 200220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 - 117*y - 1077. What is r(-107)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1956 - 39129\/20. Let o = -7\/10 - y. Let g = -36\/193 - 278\/579. Which is the closest to o?  (a) -1  (b) -1\/2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -13*u**3\/3 + 3*u**2 + 295*u. Let y be t(-2). Solve 61*w = y*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21\/(-14) + 122\/4?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -192 + -3c4?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 289123018114 + 3?\nAnswer: 289123018117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -699841*v**3 - 35*v**2 + 8*v + 173 wrt v?\nAnswer: -4199046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15927 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*t + 299 - 331 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 71.6.\nAnswer: 71.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15754, -8999, 9358, 45119, 104086, 192061, 314846?\nAnswer: 478243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2046 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 72 + -78. Let c(k) = 3*k**2 - 10*k + 4. Let q(m) = -4*m**2 + 10*m - 5. What is p*c(x) - 5*q(x)?\nAnswer: 2*x**2 + 10*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -31\/3, 0.2, 1\/7 in increasing order.\nAnswer: -31\/3, -0.5, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -12*n - 82. Let l be b(-8). Solve -2*d + l = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 105281.107 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 309321847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -170037 less than or equal to -10032126\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 15*l**2 - 15*l - 20. Let b be (-2 - (-175)\/15) + (-5)\/3. Suppose -6*w - 4 = r - 11*w, b = -4*w. Determine v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -450.2 or 4090?\nAnswer: -450.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1453*o**4 + 27*o**3 + 135324*o**2?\nAnswer: 34872*o + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -940, -944, -950, -958, -968, -980, -994?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.088 and 162920409085.\nAnswer: 162920409085.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 716176?\nAnswer: 2, 17, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 times -139612?\nAnswer: -153573.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 + -21 - 12 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.52 + -0.07. Let g = 33.59 + r. Let l = g - 36.7. What is l rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 16) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9, 1\/2, -3\/5, -2\/7, -4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, e: 1, g: 2, t: 2, l: 3, v: 3}. Give prob of picking 1 g and 1 z.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z - 5. Let o = -50 + 48. Let x(a) = -a - 4. Let h(q) = -7*q - 25. Let u be h(-4). Calculate o*r(m) + u*x(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100614.\nAnswer: 2, 3, 41, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/1496 and -59\/1496.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-1 - -2) - (-2 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 33481.46 kilograms?\nAnswer: 33481460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.74 - -3.1. Let p = -0.06 + w. Let j = -95 + 96. What is the closest to j in p, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 295 = -117. Suppose -5*v - 82 = -z - 3*z, 94 = 5*z - 2*v. Calculate the remainder when i is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 * 3.4\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 6 = c - 0*c, -2*c + 5*v - 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 50*i + 3*i**3 + 4*i - 85*i as x*i + k + g*i**2 + d*i**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -129 + 135. Let q be 0 - (-6 + (-2)\/(-1)). What is the tens digit of (-2)\/(n - q) - -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 9*n + 1. Let q be g(8). Let h = q + 15. Let x = -3 + h. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 120 + -117. Suppose 12*t + 34 = b*c + 17*t, 3*c = -2*t + 19. Find the second derivative of -24*x - 38*x**c + 28 - 55 + 27 wrt x.\nAnswer: -228*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*4\/16*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = s, -1 + 10 = 3*s - 3*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -180, -128, -76, -24, 28?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, -0.4, 2\/3, -2, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266625*w + 266804*w - 9845 = 0 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 9:04 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 6. Suppose j*h = -5*n + 59, 0 = -3*h + 4*h - 2. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 103999487, 103999486, 103999485, 103999484?\nAnswer: 103999483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/(-36)*5 - ((-42)\/(-8) - 5). What is the nearest to 0 in h, -5, -0.1, -0.049?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r*r\/((r*r*r**(-5)\/r)\/r))*r)*r)\/(r*r*r**(-1\/2)*r) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 - -5. Let f = z - -5.14. Let p = -0.14000014 + f. Round p to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9, -271, -607, -999?\n\"Answer: -28*p**2 - 196*p + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**5 - 2*f**3 + 6*f**2 + 2*f. Let p(a) = -a**6 - a**5 - a**3 + a. Let j(w) = k(w) - 2*p(w). What is the third derivative of j(t) wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -14*b + 22. What is the hundreds digit of ((b + -1)*1)\/(6\/732)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 89 - 81. Let p be -4*1*(125 - j). Let v = -199 - p. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -175*j**2 + 355555*j - 3185820 = 0?\nAnswer: 9, 70796\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -f + 55, 665*a - 17 = 663*a + 3*f. Calculate the remainder when 250 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*o**2 + 45*o**2 + 79*o**2.\nAnswer: 215*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/3040 and -69\/760.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 4*f + 529, 12*f - 7*f = -5*q + 525. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -o**6 + 16*o**5 + o**4 + 3387*o**2 wrt o.\nAnswer: -120*o**3 + 960*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(8\/7)\/t**(5\/2))\/(t**(2\/3))**(17\/5) assuming t is positive.\nAnswer: t**(-761\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -769?  (a) -1  (b) 2\/11  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.127  (b) -5  (c) 3.1  (d) -4  (e) 5  (f) -0.5  (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 1260?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110110110 (base 2) to base 4.\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/9 + (28556\/693)\/59.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, m: 2, q: 8}. What is prob of sequence mam?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (30\/57)\/((-900)\/1497960*-73)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 - -4 - 3)*(-7 - -2). Suppose 2*r = -j - 7, 4*r - 13 = 2*j - 39. Suppose -j*i = -2*i. Solve 5*f - 2*p - 7 = 11, -3*f + c*p + 7 = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 1213 = -6*m + 1609. Calculate the remainder when 1913 is divided by m.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -1\/20*q**5 - 3\/2*q**2 + q**3 + 0 - 2*q - 5\/12*q**4. Determine k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -615 - -621. Solve 25*o - 22*o = -m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + 20*g**2 + 53*g + 223. Calculate the least common multiple of 140 and a(-16).\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54839 and 1561563?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 + 7*g - 8. Suppose 12 = 6*c - 24. Is d(c) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 595 is divided by 120?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65173410.\nAnswer: 2, 3, 5, 17, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -394\/11 + 36. Suppose -5*f + 2*f = 36. Let m be 20\/(-6)*f\/70. Sort 4, q, m in increasing order.\nAnswer: q, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -18*(10\/4 - 2). Let n(d) be the first derivative of 13*d + 7\/2*d**2 - 1. Let z(s) = 3*s + 6. What is v*z(u) + 4*n(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 7*p**3 - 3*p**2 - 27*p - 2. Let a(s) = -s**3 + s**2 + 3*s. What is -2*a(v) - f(v)?\nAnswer: -5*v**3 + v**2 + 21*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 3  (b) -0.3  (c) -1268  (d) 0.41  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2275142153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 846623?\nAnswer: 251, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.04 - 0.02. Let l = b - 0.02. Let i = 1 - l. What is the nearest to 1 in i, -0.3, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110.1586953 rounded to 1 decimal place?\nAnswer: -110.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o + 20. Calculate the least common multiple of p(0) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (34 - 13) + -11 - (-12 + (0 - (-2 + -2)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -124 + 127 - (-2 + -11 - -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 + -2 + 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 22 + 4 = 0. Suppose -r - f = 3*o, o + 2*o + 25 = 5*r. Find the third derivative of -5*i**2 - 3*i**2 + i**r + 5*i**2 - 2*i**4 wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(190)\/((sqrt(50)*-5)\/sqrt(5)).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 228 and 89718.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/3, -1, 531, -0.1, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13*32\/624)\/((3\/18)\/(384\/(-24))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/((63\/6)\/7))\/((-26)\/13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 9*r + 5*c - 33 = 0, -2*r + 3*c + 57 = 0. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38 by -38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kaaka. Give prob of sequence aaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 17*g = 3*a - 18*g - 10, -87*a - 78 = -g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/80 and 29\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -447, 9, 5, -9 in increasing order.\nAnswer: -447, -9, 5, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9436 minus 38911351?\nAnswer: -38911352.9436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (((-5 + 0 + sqrt(320) + sqrt(320) - sqrt(320) - sqrt(320)) + 4 + (sqrt(320) - (1 + sqrt(320))))*-3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 258404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/1794 and -7\/66930.\nAnswer: 870090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + b + 2. Let n(w) = -w**2 - 1. Let i(q) = -f(q) - 3*n(q). Let v be i(1). What is l in 8 + l - 7*l - 4*l**v + 2*l = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1217517 (base 9) to base 3\nAnswer: 1020121120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 176118 and 756.\nAnswer: 22190868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10067 - -161123\/16. Find the common denominator of c and 107\/682.\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 10, 1.53?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -3*i. Give c(10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30408, 60822, 91244, 121674, 152112, 182558, 213012?\nAnswer: 243474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*m**3 - 14*m**3 - 10*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9435494?\nAnswer: 2, 41, 115067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 128172029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*15528.\nAnswer: -31056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 12:48 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 3  (b) 328  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4852bb + -6?\nAnswer: 4852b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 3. Suppose -20 = -2*z + t*h + 2*h, -20 = z + 5*h. List the prime factors of (4 - 1) + (z - -27).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -2 + (sqrt(1539) + -1)*3 + -5 + sqrt(1539)*-1 + 2 + (sqrt(1539) + -1*sqrt(1539) + 4)**2 + 1.\nAnswer: 9 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p**3 - 3 + 1 - 3*p**3 + (-2*p + 3 - 3)*(7*p - 5*p + 25*p)*(2*p + p - p) as o*p**3 + d + i*p**2 + m*p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f**2 - 789 + 789.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2*a**3 - 48*a**2 + 480*a - 1024 = 0?\nAnswer: -32, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 20, -15 = -w - s + 16. Let z = w - 0. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*s - 9087 = -8622 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5349740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 PM and 6:48 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 44132706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -812*q**2 + 678*q**2 + 441*q**2 - 2*q + 107*q**2 + 752*q**2.\nAnswer: 1166*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 41924 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-7)*(8 + (-152)\/(-114)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15454, -4420, -24294?\n\"Answer: -19874*r + 35328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of c**6\/30 + c**5\/20 - 13*c**4\/12 - 25*c**3\/6 - 6*c**2 + 14*c. Factor o(m).\nAnswer: (m - 4)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = z + 22. Let a(k) = -12*k - 5 - 3*k**2 + 2*k**2 - k**2 + k**2. What is the units digit of a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -2*n**3 - 27255028*n**2\/5 + 59961098*n\/5 - 6541212 = 0.\nAnswer: -2725505, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) - -1*sqrt(1088)*6)*4 - ((3 + 1 + sqrt(1088) + sqrt(1088))*-5)**2.\nAnswer: -109200 - 2976*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2440*v + 10829*v - 4 + 3113*v. Let f be d(2). Round f to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2802645 (base 9) to base 16.\nAnswer: 1774eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282 is divided by 86.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3*l. Let s(c) = -3*c**2. Let z(w) = 6*w**2. Let p(h) = -9*s(h) - 4*z(h). What is p(n(g))?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of 3*v**5\/20 + 55*v**3\/6 + 170*v**2 - 233*v. Differentiate j(w) with respect to w.\nAnswer: 9*w**2 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24 - -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2150*j - 6451. What is p(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.296  (b) 0.5  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4dc - 6?\nAnswer: -4e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*m - 11*m + 438 = 1293 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -485.0975 + 0.0975. Let i = t - -484.9. What is the second biggest value in -8, -24\/5, i?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -86.5 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x = -4*x - 1261. Let m = x + -87. Let c = 47 - m. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13849 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1354.6 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5289 * -0.0347\nAnswer: -183.5283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26.3 + 4.7. Let o = j - 31.00018. Round o to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 4)*(17*y + 3*y - 33*y).\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.46 - -0.07. Let s = -0.11 + y. Which is the biggest value?  (a) -5\/3  (b) -3\/5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 11\/5 - 692\/(-865). Let v(k) be the first derivative of 8 - 1\/2*k**2 - f*k. Determine v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -111*x + 39*x**2 - 3 - 41*x**2 + 3 to d*x**2 + r + v*x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1360*v + 1367*v = 21. Calculate the lowest common multiple of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/10*15\/(-3)*1309\/748.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 + -0.5. Let z = -0.9 + -3.1. Which is the second smallest value?  (a) 2  (b) z  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*g - 0. Suppose 0*c + c + 2*l = 1, -g*c = -3*l + 24. Let z(i) = 2*i**3 - 4*i**2 + 3*i - 1. Let j be z(2). Put c, -4, j in increasing order.\nAnswer: c, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 705104\/104 + (-4)\/(-26).\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 41*d**2*r**2 - 2*d - 33*r**2 wrt d.\nAnswer: 82*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(5\/6)*y)\/y**(2\/23))\/((y*y**(3\/8))\/(y*y**1)) assuming y is positive.\nAnswer: y**(1309\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3566 + -276?\nAnswer: 32a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 + 2)\/(49\/(-28) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76750 is divided by 1256?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -4*z + 1276, 5*n = -2*z - 83 + 728. Let q be z\/1904 + (-4)\/(-34). Which is greater: q or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.76 + 49.08?\nAnswer: 49.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 202 + -198.54. Let k = w + -3.2. Let m = 0.25 - k. Which is the third biggest value?  (a) m  (b) -1\/2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 15\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.144 + 9.144. Let q = 8.999729 - s. Round q to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.26 - 90812.\nAnswer: -90811.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2+38315059\nAnswer: 38315057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 47*o = -44*o + 3, -13*z + 4*o - 43 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from tktktkkgktkgg?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1778.603 decades to centuries.\nAnswer: 177.8603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -37372, -74742, -112112, -149482, -186852?\n\"Answer: -37370*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/5, -4117, -3, 0, 2\/9, 0.4, 4\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l + 2. Let c be a(5). Let o = -46 - -52. Solve -9*g + c*g = -o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 53*b**5 - 5401*b**4*w**3 - 3*b*w**3 - b*w - 71*w**3 + 11*w + 1 wrt b.\nAnswer: 1060*b**3 - 64812*b**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*r**4\/2 + 3585*r**3\/2 - 48635*r**2 - 2004930*r + 13396500 = 0. Calculate r.\nAnswer: -26, 6, 50, 687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of 15*l**3 - l**2 - l + 5. List the prime factors of b(-1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -44 + 50. Let u be 5*20\/(-75)*-6. Put -1, x, 1, u in decreasing order.\nAnswer: u, x, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -40.23*-4905\nAnswer: 197328.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - 2*c**2 + (-6*c - 38 + 38)*(c + 1 - 1) + 9 + 6*c**2 + 26 - 3*c**2.\nAnswer: -5*c**2 + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 20*h - 38. Let n be i(10). Suppose n = 2*w - 0*r - r, -4*w = r - 318. Which is bigger: w or 79?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -5*r - 51, 4*l = 3*r - 0*r + 45. Let t = -4 + l. Suppose j + 3*j = 28. Are t and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -28138 or -29411?\nAnswer: -28138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*t + 361 - 16*t - 361.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 74.007 + -74. Let c = d - -0.993. What is the nearest to 1\/7 in 2\/3, -2\/5, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140543019 a multiple of 1539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17a269 (base 12) in base 15?\nAnswer: 81e73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r**2 - 1460*r + 308140 = 0.\nAnswer: -434, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**4 - 7*a**3*s + 421*a**3 + 2*a**2*s + 3672*a**2 + 2*s wrt a?\nAnswer: -24*a - 42*s + 2526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 77*f**2 - 7008*f + 96. What is l(91)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*x - x - x)*(0*x**2 - 3*x**2 + x**2) + 2*x**3 + x - x in the form g + n*x + w*x**3 + r*x**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*s - s - 15*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2. Let i(w) = -167*w - 137*w + 95*w. Calculate i(g(h)).\nAnswer: 209*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.028 - -2.028. Let l = 2785.9995 - 2788. Let j = l + y. Round j to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 j when four letters picked without replacement from {r: 7, j: 11, y: 2}.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 1. Let d(j) = -j**3 - 4*j**2 - 5*j - 4. Let u be d(-3). What is the units digit of b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1123 + -645. Let j = 2121 - k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -489277*m**2 - 2074475*m?\nAnswer: -978554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 78314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 3*f. Let l(b) be the first derivative of -8*b**3\/3 + 8. Determine l(s(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (175\/250)\/(56\/20)*20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2508 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 50414.6 to the nearest one hundred.\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 9.3?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2689\/8 - 13461\/40. Which is the fourth smallest value?  (a) 306  (b) 1\/2  (c) n  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.277 and -5.\nAnswer: -5.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -966, -0.5, -19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*t = 3*c + 3*c - 24, -t = -4*c + 1016 - 1037 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -463, -1841, -4135, -7345, -11471, -16513?\n\"Answer: -458*v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o**3 - 2*o**2 - o - 2. Suppose 3*m + 0*m + 23 = 2*d, -4*m - 28 = -2*d. What is the least common multiple of d and n(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126*j + 140 = -131*j. Let l(x) = 3*x + 84. Let t be l(j). Let q be 0 + 1 + t + (8 - 8). Let a(c) = c**2 + 1. Determine a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2177662?\nAnswer: 2, 1088831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 570 - -19?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*w + 8 = 0, 2*s + 2*w - w + 17 = 0. Let x(r) = r**2 + 6*r + 5. Let b be x(s). Suppose 5*h + 4*f = 134, 100 + 40 = 4*h - b*f. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3799, -7625, -11451, -15277, -19103, -22929?\n\"Answer: -3826*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 268 - 267. Which is the nearest to -2\/5?  (a) f  (b) -12  (c) -0.1  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -1 - 0 - (130 - 127)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*i - 71*i - 54 - 50 = 50*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 - 28.0000087. Round m to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 878*-24\nAnswer: -21072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3012 is divided by 81.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 292592.16 months to millennia.\nAnswer: 24.38268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 1387.64?\nAnswer: 1390.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2 - 483*s**2 + 240*s**2 + 244*s**2 - 4*s - 6*s. Give r(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6242\/13 + -480. Which is the second biggest value?  (a) 0  (b) 2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -84806 and 958.854.\nAnswer: -83847.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do 4\/32717 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 220*n + 1424*n - 3 + 1240*n.\nAnswer: 2884*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a factor of 170229016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 88 + (64 - (86 - -23))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000529474 rounded to 7 dps?\nAnswer: -0.0000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.411666676 to two dps.\nAnswer: 4.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (369\/1107)\/(316\/156 - 4\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 96 - 78. What is the least common multiple of 16 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90375486 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255144 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**3 - 191*s**2 + 236*s + 4315. Calculate o(94).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 3*m - 20. Is o(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -3 - 5. Suppose -3*v = k*v - 160. Calculate the highest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.07473cm in kilometers?\nAnswer: 0.0000707473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 6*z**3 - 18*z**2 - z - 9. Calculate n(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*k = -9*k - 230. Suppose -k*p = -6*p - 1309. Calculate the remainder when p is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(-5)\/(-2)*1. Let d = -25 + 39. What is the remainder when k*((-4)\/2 + -6) is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of r**8\/1680 - r**7\/840 - r**6\/180 - 5*r**3\/6 - 2*r**2. Let o(k) be the first derivative of c(k). Factor o(z).\nAnswer: z**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -142, -271, -480, -769, -1138, -1587, -2116?\n\"Answer: -40*w**2 - 9*w - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g + 6. Let x be m(5). Let c(f) = 2*f - 8. Let q be c(6). Suppose 3*r + l = -10, r - q*l - 1 = -0. Sort x, 5, r in increasing order.\nAnswer: r, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9*-1130\nAnswer: -10170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 5*c - 25 = -3*z, 0 = 5*z + c - 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 17 times -9124\nAnswer: -155108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.9 + -1.4. Let u = n - 1.5. Suppose -6 = 5*m - 26. What is the second biggest value in 19, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p**3 - 2*p**2 + p. Let w(h) = 35*h**3 - 20*h**2 - 15*h + 40. Let s(x) = -10*u(x) - w(x). Factor s(q).\nAnswer: -5*(q - 8)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 6*l + 11 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 10) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.14 - -0.14. Let n = -0.71 + 0.31. Let h = -0.9 - -0.8. What is the closest to w in n, h, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 166970 divided by -283.\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 101 + -28. Let r = v - 29. Suppose 0 = 5*c - 123 + 48. Calculate the remainder when r is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 21 + 3\/2*-2. Calculate the remainder when 22 is divided by 20\/(-6)*k\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124050 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i. Let k(a) = 69*a. Let h(o) = 276*o. Let n(c) = 4*h(c) - 15*k(c). Give s(n(l)).\nAnswer: 69*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15 + -5502?\nAnswer: -5443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4229441*g**3 - 325643*g - 64 wrt g.\nAnswer: -25376646*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -2c6?\nAnswer: -2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/16 and 87\/25318?\nAnswer: 202544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 831934 or 2495806\/3?\nAnswer: 831934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 55 + -51. Is 9 a factor of 90\/(-4)*(-8)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.151 and -3229.\nAnswer: -487.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - 14.4. Which is the second biggest value?  (a) -1  (b) 0  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + 73 + -46 + (-15 - 1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 20.5 and 3.\nAnswer: 23.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - ((-17 - -29) + 35 + 6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 3*w = -30, 3*r = r - w + 13. What is the units digit of r + (16\/4)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-10)\/6 + 1)*-3. Is (u*(-5)\/(-15))\/(4\/2874) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 5 + 10 = 0. Suppose 44 = 2*f + 5*k - k, 2*f - j*k = 23. Suppose f - 62 = -u. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**2 + 25475*u - 15821806 = 0. Calculate u.\nAnswer: 637, 24838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14728.\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 5*i - 7. Let c(d) = 4*d - 7. Let a be ((-1)\/(-2))\/(1\/(-12)). Let w(s) = a*c(s) + 5*h(s). Let t be w(-7). Solve v - 3*v = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123955?\nAnswer: 5, 13, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 170\/(-3)*(-36)\/15. Suppose -2*v + u = 3*i + 12, -4*i + 170 = -2*v. Suppose i = 3*c - 3*b, -5*b + 25 = -0. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s + 9. Let b be x(6). Suppose b*p + 4*i = 7*i + 18, 42 = 4*p + 2*i. Let g(f) = f**2 - 7*f - 13. Let o be g(p). Solve 1 = -o*j - 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 0.0667  (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jojojjoj.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 97601*m**3 - 5*m**2. Let u be g(5). What is u rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + 2*c. Let b(a) = 10*a**3 + 75*a**2 - 62*a. Calculate -b(o) - 9*s(o).\nAnswer: -o**3 - 75*o**2 + 44*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 352 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: Expand (3*a**4 + 0*a**4 - 2*a**4)*((-2 + 2 - 2)*(2*a - 11*a + 3*a) - 30*a + 9*a - 67*a).\nAnswer: -76*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**4 - 1293*k**3 + 702538*k**2 - 3480240*k = 0. What is k?\nAnswer: -1706, 0, 5, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -385*j - 9936 - 8378 = -989 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -6, -3*r - 2*b + 14 = -14. Solve -r*u - 8 = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 198*y - 50. What is the units digit of l(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 4*t = -214, j = 5*j + 3*t - 196. Let l = j - 27. Solve -l = 3*n - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -2\/17  (b) 3  (c) -2\/5  (d) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**3 - 3*x + 1 - 4 - 3*x**3. Suppose -5*k + 4*m - 26 = 0, 2*k - 3*m + 12 = -m. Determine w(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 154 = -32. Suppose -k = 2*j - o, 42 = -5*j - 4*o - 100. What is the tens digit of ((-108)\/j)\/((-6)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of d**4\/4 + 7*d**3\/3 + 2*d**2 - 5*d - 3. Let m be h(-5). Suppose 7*u - 2*u = m. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 167*o - 6501. Determine u(-107).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 417507 (base 8) in base 3?\nAnswer: 21001210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 615280689 divided by 655251\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-88)\/198)\/(30\/27). What is the second smallest value in l, 271, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.03, 2\/13, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 1892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 12. Let h be 8\/32 - (-321)\/(-4). Let v be 52\/h - 2\/(-8). What is the second biggest value in v, q, -4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*n = -86*n, n = g + 4. What is the second biggest value in 2\/47, 0.5, -0.5, 4\/3, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*y + 34*y + 315*y - 1336*y + 423*y.\nAnswer: -599*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (0 - -3)) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of n**2\/2 + 13*n + 57. Suppose h + 29 = -5*f, 3*h + 7 = 4*f - 4. Calculate m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5508.38587 - -91.33313. Let u = 5602 - b. Round u to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*q - 2*u + 24 = 0, q = -u + 8. Let a be 1\/(q\/20*10\/8). Let y be (-15)\/5 - (-2 - a). Solve 0*z - y = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4852 is divided by 65?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001111100111 (base 2) in base 5?\nAnswer: -130340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 10:06 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -18*o**3 - 2*o - 2. Let b(f) = 558*f**3 + 63*f + 63. What is -2*b(q) - 63*s(q)?\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*q = -7*q - 340, -q - 425 = -5*j. Which is bigger: j or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(l**2 - 2*l**2 - l**2)*((0*l + 3*l - l)*(1 - 5 + 2) - 2*l + 7*l - 2*l + l - 4*l + l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 38 - 30 = 0. What is the biggest value in u, 6, -2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**7\/14 + r**5\/5 + r**4 + 7*r**3\/3 + 147*r**2\/2 + 1332*r. What is the second derivative of o(t) wrt t?\nAnswer: -60*t**3 + 24*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of -z**3\/3 + z + 7. Let s(w) = 3*w**2 - w. Calculate -4*j(x) - s(x).\nAnswer: x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v + 3*n + 9, 3*v - 5*n - 13 = 7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 2*w**2 + w + 6. Let i be (12 + -11)*-10 + 8. Calculate g(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -142391733*p - 31833394 wrt p.\nAnswer: -142391733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0)**(1\/4)*((n\/(n**(-2)\/n*n))\/n)\/(n\/(n**6*n*n)) assuming n is positive.\nAnswer: n**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -3*u + 9 - u + 3*u + 28. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29)\/(36482\/(-170))*(-4)\/(-5)*2\/4.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/((-1 + 3)\/2). Suppose f + 12 = 5*f, u = -h - 5*f + 33. 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: Let c(n) = n**2 + 2*n. Let a be c(-5). Let g be (-1)\/2 - a\/2. Let t = g - -5. Let x(w) = -w**2 + 2*w + 2. Let f(r) = r**2 - 2*r - 3. Give t*x(b) - 2*f(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -18754*h**3 - 6*h**2 + 7*h - 3. Let r(m) = m**3 + m**2 - m + 1. Let d(g) = n(g) + 3*r(g). Let q be d(-4). Round q to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, 6, 32?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*b + 1\/3*b**2 + 1\/3*b**4 + 0 + 2\/3*b**3.\nAnswer: b**2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1332010130 (base 4) to base 2.\nAnswer: 1111110000100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 88 + -90. Is w at least 0.93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 6 - 1 - 1 + 2*g. Let d be m(3). Suppose -o + 8 = 5*y + 23, 3*y + 37 = 5*o. What is the highest common factor of o and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -n + 20, 5*n + 4 = -5*h + 29. Suppose n = 5*o - 0*o + 46307935. Let i = 4061587 + o. Round i to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*h - 25*h + 72 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 30865.98 - 30866. Which is greater: -52\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(1\/8)*o*o\/(o\/o**(2\/11))*o*o\/(((o\/(o\/o**6))\/o)\/o)*o*o*o\/(o*o*(o*o\/(o**7\/o))\/o) assuming o is positive.\nAnswer: o**(467\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 63, 96, 159, 258, 399, 588, 831?\n\"Answer: i**3 + 9*i**2 - i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -27 - 0. Let c = 28 - z. Put -1\/6, c, -5 in ascending order.\nAnswer: -5, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 203 + 53 = 0. 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: How many minutes are there between 12:53 PM and 4:08 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b - 9. Let u be g(8). Find the common denominator of (4 - u)*57\/(-24) and (-51)\/6*(-1)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*m = -2702 + 40340. Calculate the greatest common factor of m and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-236 + 5)*2\/6. Let f = v + 53. Do -22 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2 = -2*u - 22, 3*u + 5*q + 20 = 0. Suppose u = -4*t + 120 + 64. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9.27 - -15711563.\nAnswer: 15711572.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.956158 rounded to 1 dp?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 20?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c9 - -1?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9792, -19580, -29368, -39156?\nAnswer: -48944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 25 = 4*y, -3*y + 30 = 2*y - 5*z. Suppose y*a = 9*a - 544. Calculate the remainder when a is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of b**4\/4 - 8*b**3\/3 + 6*b**2 + 4*b - 5. Let k be g(6). Solve k*s = -2 + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2041 a factor of 249973516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -165*k + 166*k - 4. Let z(u) be the first derivative of u + 1\/2*u**k - 1\/2*u**2 + 2\/3*u**3 + 4. Determine z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppg when three letters picked without replacement from {g: 3, l: 1, p: 3, s: 3, y: 8}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-198)\/(-110))\/(8\/100) - 20?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/(-16)*64\/(-36)*-3. Solve 3*t = -t - j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -10*a**2 - 6*a**2 - 10*a**2 + 3*a + 25*a**2 + 4. Suppose 2*g = -25 + 31. Let u be v(g). Solve u*c = -0*n - 4*n - 12, n - 7 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 629 = -925*z + 145 - 2291 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -130 divided by -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 26*n - 76. Let d be j(3). Solve -3*s + 3 + 16 = -d*m, -2*s + 31 = -5*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -i**2*x**2 - 895843*i**2*x - 22*i*x**2 - 2501*x**2 wrt x?\nAnswer: -2*i**2 - 44*i - 5002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - -3. Let g = -9 + n. Let s = 4.0000064 + g. Round s to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30*9\/135)\/((-2)\/(-28))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - (-19 - 3) - (-1 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/3 and 32\/425544117.\nAnswer: 425544117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -234.401 - -0.401. Let h = l - -234.0000446. What is h rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 2*h - 5*d, -h = -3*h - 2*d + 26. Suppose -2*k + h = 2. Calculate the greatest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of -s**4\/16 - s**3\/2 + 105*s**2\/2 + 6*s - 217. Solve z(g) = 0.\nAnswer: -14, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*57)\/((2\/6)\/((-60)\/(-90))*-3).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 632180.\nAnswer: 2528720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -635, -638, -641, -644, -647, -650?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 579 = 2*y + 586, -5*c + 2*y + 15 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -572 less than -574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -1\/9, 41, 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 152 and 11628?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1442 and 4753336?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3.454, -2\/7, 0.2, 30\/7, -0.4, -3\/2, 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, z: 1, q: 5, v: 1, j: 2, y: 2}. Give prob of picking 1 y and 1 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101012122120 - -1?\nAnswer: -101012122113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 4913562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -3*q**2 + 8*q + 7. Let b(p) = -9*p**2 + 24*p + 20. Let o(n) = 4*b(n) - 11*i(n). What is o(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2 and 268.\nAnswer: 267.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 939 is divided by 929?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*g = -23*g - 4*a, 0 = -3*g - 2*a + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooxooeeeoeeoeooexoe. What is prob of picking 2 x?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 + -3. Let b be 2*(-2)\/(-16) - 572\/t. Suppose 10*a - b = 7*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/369 and 97\/1968?\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {y: 1, b: 12}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 607 = 4*c + o, -3*c = -4*o - 355. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*x - 5*x + 6. Does 50 divide 2\/(x\/((-750)\/752) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 450 = -o + 3*a, -a - 226 = -2*o. Suppose -o = -3*k - 2*v, -2*k = -v + 18 - 94. What is the remainder when 113 is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -2*m**5\/5 - 9*m**4\/2 - 16*m**3 - 16*m**2 + 226. Solve l(n) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -0.8, 2, -1\/2, -345?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 1932*g**2 + 3864. Let y(i) = i**2 - 12. Determine -2*s(p) - 644*y(p).\nAnswer: -4508*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.714824 kilometers to micrometers.\nAnswer: 5714824000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*s - 0*s. Let z(c) = 2*c**2 - 2*c**2 + c**s. Let d(x) = x. Let p(g) = g**2 - 11*g. Let b(a) = 22*d(a) + 2*p(a). Give z(b(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 20120220?\nAnswer: 20120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20847 - 20437. What is the highest common divisor of 160 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-18))\/(92\/(-138))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.48  (b) 4  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + l + 7 - 2115*l**2 - 368*l**3 + l.\nAnswer: -368*l**3 - 2115*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 23 + 17*l**2 - 44*l + 77*l - 50*l - l**3. What is the remainder when 11 is divided by s(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1882 - -1884. Let d(b) be the first derivative of 15*b - 14\/3*b**3 + 10 + 0*b**z. What is the derivative of d(x) wrt x?\nAnswer: -28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o**3 - 52*o**2 + 2*o + 40. Give n(-26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 (base 10) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (0 + -3 + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a = -63*a - 144 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -187*q + 31552. What is j(169)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-90)\/21)\/(-5)*(-32788)\/(-3513)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of a**4\/27 + 26*a**3\/9 + 76*a**2\/9 + 83*a + 1. What is f in r(f) = 0?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/5 + -49\/60. Let s be (-4294)\/(-14) + (-22)\/(-77). Let z = s + -307. Are u and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 126 and 190204.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**0)**23*(d\/d**(-2\/5)*d)**25*(d*d**(-2))**1\/((d*d**(2\/13))\/d*d\/(d*d**2*d)*d) assuming d is positive.\nAnswer: d**(791\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of m**5\/20 - 5*m**2. Let k be j(1). Suppose 6*x = 3*x + 12. Sort k, 0, x in decreasing order.\nAnswer: x, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-6)*-1 + 3074\/(-348) + -26 + 128\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 5, 0 in increasing order.\nAnswer: -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(117))**2 + 3.\nAnswer: -24*sqrt(13) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 0, -283, 2\/35, 18\/7, 2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(5) - sqrt(20)\/sqrt(4) - sqrt(5))*-4.\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 394\/9456*-24*(3\/16)\/(-3)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {k: 2, j: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -825 - 778 + 4*g - 818 + 3243 - 822.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 86  (b) -1\/3  (c) -3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35 - 23. Suppose 0 = 4*z - 2*j, -5*j = -3*z - 9 - 5. Suppose -z*g + r = -g + d, 5*g - 48 = d. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**2 + 93*l = 0. Calculate l.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244 = -480*v + 1852 - 168. Let j = 29 + -18. Solve 2*o = -j + v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -7454, -8000, -8546, -9092, -9638, -10184?\n\"Answer: -546*p - 6908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) 4  (b) 139  (c) -557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 31 and 73284?\nAnswer: 73284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 + 211 = -2*r - 5*t, 3*r - t = -243. Let z = 136 + r. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*r + 6*r + 4. Solve r*t + 2*l + 10 = -2*t, t + 19 = 5*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 12:19 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 52 = 4*d, 4*v + 2*d = -0*v + 52. Suppose 3*i - 3*s + 5 = -1, -2*i - v = s. Which is the nearest to 1?  (a) 1  (b) -0.3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -23735, -47347, -70959?\n\"Answer: -23612*v - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -32  (b) 2  (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1084.78 and -5743.\nAnswer: 6229891.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140341 is divided by 590?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(153)*-6 + -4*(sqrt(153) - ((sqrt(153) - sqrt(153)*-1) + sqrt(153))))*6)\/(sqrt(54)\/((sqrt(54) + sqrt(6))*-3)*-6).\nAnswer: 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y**2 - 3*y - 3. Let f(t) = t**2 - t - 1. Give -7*f(l) + 2*s(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -21246  (c) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/(-2) - 1) + 1. Let d(y) = -3 - y**2 + 0*y + 2*y**2 + 6 + 3*y. Let o be d(s). Solve -o*t - 4 = -5*p, -4*p + t = -3*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -165636 + 6?\nAnswer: -165630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 64 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2135 or -2123?\nAnswer: -2135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -19*p + 12. What is h(3)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7013 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 283530\nAnswer: -1417650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 4*x**2 - x - 1. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - 6*r**2 + 3*r + 6. Let n be o(5). What is the units digit of 116\/16 - (-1)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/3)\/q)\/(q**2*q)*q**6\/q*q**1*q**0*q**(-3\/2)*(q**(-2\/7)*q)**(-11) assuming q is positive.\nAnswer: q**(-337\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d**5 + d**3*v**2 - 529*d**3*v + 2*d*v**2 + 44*d - 6*v**2 wrt d.\nAnswer: 40*d**3 + 6*d*v**2 - 3174*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/a**(-8))\/(a\/a**11) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115*j + 1011*j**2 + j**3 - 3*j**3 + 114*j - 3322*j**2.\nAnswer: -2*j**3 - 2311*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172643923.\nAnswer: 172643923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -694.7 - -695. What is the third smallest value in 14, 17, g?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -520579*t**3 + 20*t + 111039426 with respect to t.\nAnswer: -1561737*t**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1 + 1 + sqrt(17) + (sqrt(1088) + 0)**2 + sqrt(612)*-2.\nAnswer: -11*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -140*k + 10. Let v be d(6). Round v to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48944530.\nAnswer: 2, 5, 17, 127, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10.97 - -6.97. What is the third smallest value in 1, d, -1637?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 28 + (-2)\/(-9)*(-10 - -19). Let n be ((-9)\/(-12))\/(k\/20). Let r be (-14)\/(-40) - 2\/(-8). Which is the smallest value?  (a) 0.3  (b) r  (c) n  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5538*s**3 - 5*s - 114968 wrt s.\nAnswer: -16614*s**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 + 0)\/(2 - 1). Suppose -3*m + f = -a, 0*m - 25 = -4*a - 3*m. Let p(s) = s**2 - 6*s + 3. Determine p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/6)\/(21 - (-34639)\/(-1650)). Are l and -51 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*s = -17 + 131 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-8) + (-710)\/(-200) - 3. Let n(b) be the second derivative of -1\/4*b**4 - 1\/10*b**6 + h*b**5 + b + 0*b**3 + 0 + 0*b**2. What is i in n(i) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 1 = -4*p - 28, p + 5*r = -26 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 15, -5*y + 24 + 24 = 4*s. Let a(h) = -6*h. Calculate the least common multiple of y and a(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 353*i**2 - 700*i**2 + 348*i**2 - 286 to m*i**2 + q + j*i and give q.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**5 + 9*m**3 + 9*m**3 - 17*m**3 + m**4 + (m - m + 3*m**4)*(2*m - 4*m - 4*m - 2*m + 0*m + m - 1 + 1 + m + (2*m - 3*m + 0*m)*(-1 + 2 + 1)).\nAnswer: -23*m**5 + m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6569 greater than or equal to 6586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -776209 divided by -343\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of q**3\/3 + 13*q**2\/2 - 16*q - 14. Let v be g(-14). Which is smaller: 3\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 8*r = -4*b + 32, 3*r = -b - 9. Suppose 5*k - t = 24, 4*k = k + 2*t + 13. Solve -4*w + 3*w - 27 = -k*l, l - b = -w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*n - 6 = -46*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 2*d = -10, 27 - 12 = -2*v + 3*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y - 7. Let n be f(-5). Differentiate -16 - 4*p**n + 11*p**3 + 15 wrt p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 52, -1, 2 in ascending order.\nAnswer: -1, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 4*z**2 - 100*z - 11. Determine b(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2*0)\/(4\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 10*h + 1. What is c(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 11) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + n - 34874 = -4*z, 3*n = 5*z + 52267. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -28172 and -28164 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1  (b) 4  (c) 7  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 6*t**3 + 5*t**2 - 13*t + 7. Let l(b) = -5*b**3 - 4*b**2 + 12*b - 6. Give 7*l(s) + 6*m(s).\nAnswer: s**3 + 2*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*m + 38. Let n be (10*-1)\/(3 + 1 + m). Solve -5*g - n*z = 5, -3*g + z = 2*g + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -28, -36, -34, -16, 24, 92, 194?\n\"Answer: s**3 - s**2 - 12*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.09 + -0.39. Which is the closest to -0.1?  (a) f  (b) 1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6.4 - -6.13. Let k = 0.07 + j. What is the second biggest value in -5, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 1. Let i = -0.3 + 0. Which is the second smallest value?  (a) i  (b) z  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 46 + 505. Calculate the greatest common divisor of c and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 1 + 2)*(-13 + 0 + 2) - 2 + 3 + 3)*(0*q - q + 0*q) as z + h*q and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -1584607?\nAnswer: -5\/1584607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/3 + 30\/(-9). Let t = 5 + -5. Let l = -1\/21 + 53\/231. Which is the second biggest value?  (a) l  (b) h  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/9 + 16*p\/9 + 10\/3.\nAnswer: 2*(p + 3)*(p + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -13, -5 in ascending order.\nAnswer: -13, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, p: 5}. What is prob of sequence appp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjbjhjb. Give prob of picking 1 q and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 8124 - 6126 = 0. Suppose -26*i - 31*i = -p. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2877233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-1\/6))\/y)\/(y\/(y*y*y*y\/(y\/(y\/y**(-5))))*y)*((y\/(y*y**(-1)))\/y)**30 assuming y is positive.\nAnswer: y**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4 + f - 4 + 1. Let z = -5 + -2. Let d(u) = -2*u - 2. Give z*v(m) - 4*d(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1676*o**2 - 9*o - 145 wrt o.\nAnswer: -3352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -7*m**2 + 39 - 38 + 4*m**3 + 5*m**2. Suppose 6*r - 3 = 3*r. Calculate f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 1 - w + 0*w - 61*w**2 + 6*w**3 + 0*w**2 to i + y*w + p*w**3 + g*w**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8340 and 9732780?\nAnswer: 9732780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of k**5\/20 - k**4\/3 - k**3\/2 - 5*k**2\/2 - k. Let s be (1 - 1)\/((-2)\/(-2)). Suppose s = 2*z - 10. Give d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of -q**3\/3 + 5*q. Let l(w) = 8*w. Determine z(l(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y = 48*y - 3*y - 112. Calculate the lowest common multiple of y and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = m - 19. Calculate the greatest common factor of m and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*b - q - 1, -5*b + q = -17. Suppose -b*k = -4*l + 64, 3*k = -4*l + 7 + 29. What is the least common multiple of 6 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -30916, -30935, -30996, -31123, -31340, -31671, -32140?\n\"Answer: -4*x**3 + 3*x**2 - 30915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -333*r - 1 - 1 + 320*r - 21*r**2 - 86*r**2.\nAnswer: -107*r**2 - 13*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 11*b = 2*q - 6, 17 = -2*b + 5*q. Let x be (6 + 2)\/16*b. Solve -1 = 6*a - a + 2*g, -a - g = x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 6*f - 5. Let i(n) be the first derivative of -5*n**2\/2 + 4*n - 14. Give 4*i(c) + 3*o(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 110*j - 5128. Give a(46).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3253867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*d**3 + 16*d**3 - 10*d**4 + d**4 - 10*d + 10*d + (0*d + 0*d + 6*d)*(0 + 0 + 2*d**3).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 134 = 698*o - 682*o. Let q(h) = h**2 + 2. Let l be q(0). Solve -l*n = -o + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 7*n**2 - 11*n + 5. Let j(r) = -3*r**2 + 5*r - 2. Let b(x) = -5*j(x) - 2*t(x). Let y(k) = 2*k + 8. Let u be y(26). Let l = -57 + u. Determine b(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -q - 12. Suppose -3*g + q*g = 327. What is the third derivative of 22*a**5 + 34*a**2 + g*a - 109*a wrt a?\nAnswer: 1320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 20*k + 33. Let o(d) = 5*d + 8. Let h(w) = 2*b(w) - 9*o(w). Let m = 80 - 71. Suppose -n + 2 = m. Let y(z) = 9*z + 11. Give n*h(u) - 4*y(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of q**2 + 1. Let o(z) be the first derivative of 2*z**3\/3 + 6. What is o(l(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a - 5. Let b be x(9). Find the third derivative of u**2 + 3*u**b + 5*u**2 - u**2 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(5 + -2*(1*sqrt(245) + sqrt(245))))**2.\nAnswer: -280*sqrt(5) + 3945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 - 19*l - 16. Let c be t(-16). Suppose 4*o - n = -5*n + c, 5*n - 20 = 0. What is the second derivative of -k**4 + k - o*k - k + 3*k wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127301 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 10 = -5*s, -5*t + 4*s + 5 = -3. Sort -5, -3, -2, t in decreasing order.\nAnswer: t, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 1883 = -5*g, 248 = -5*h + 5*g + 2568. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 32995240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/6))**(-12)\/(b**(-3))**47)**(1\/13) assuming b is positive.\nAnswer: b**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -4. Let q(l) = -l**2 + 3*l + 2. Let s be q(u). Suppose -2*z + 3*z + 11 = 2*r, 2*z = s*r - 10. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*s + 12*s - 15439 - 73598. Does 188 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3469483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8315.3638 and -1.1?\nAnswer: 8316.4638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5068, 10687, 16882, 23683, 31120?\n\"Answer: 5*k**3 + 258*k**2 + 4810*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*w - 27 = 2*k, 5*k - 5*w = -50. Let j(p) = -p**3 - 7*p**2 - 2*p - 17. Give j(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 271503631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25 + 15. Does 11 divide (-3 + 2 + p)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(55)*-2)\/sqrt(11) + -3.\nAnswer: -3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 51289468 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12 - 5240?\nAnswer: -5252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -10. Let p = 0 - u. Find the second derivative of -v + 0*v**p - v**4 + 0*v**4 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237206 = -7*d - 237269 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/37 in -4\/3, 21, -14?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 7:13 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 28040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + 12011120?\nAnswer: 12011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/3*1917\/(-6816)*(-4)\/6.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -15.53 times -15\nAnswer: 232.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 965 = 5*y - m, 2*y - 389 = 5*m. Suppose -y = -2*p - p. Let g = 53 - 20. Calculate the remainder when p is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 9 + 5 + q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, i: 1, m: 1, x: 1, f: 2, s: 1}. Give prob of picking 1 s and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -39*l**6\/10 + 13*l**4\/4 - l + 52. What is the third derivative of w(c) wrt c?\nAnswer: -2808*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -16. What is the common denominator of 39\/11 and 157\/y + (-70)\/(-56)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*f - 5*b + 102, 0 = -f + b - 38. Let d = 4 + f. Let y = d - -31. Solve y*t + 2 = -2*m, -2*t - 3*t - 5 = -3*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 50\/13*u**3 + 0*u + 2\/13*u**4 - 232\/13*u**2.\nAnswer: 2*u**2*(u - 4)*(u + 29)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -9*u**3 + 261*u**2 + 9*u - 245. Determine x(29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 16, -39, -148, -329?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/9 + 85\/18 and 9\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**3 + 0 + 0 + (15 + 3*k**2 + 19 - 36)*(-2 + 2 + k).\nAnswer: 5*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.09 + 0.91. Let l = -63.4 + 63. What is the third smallest value in x, 0.2, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 f when three letters picked without replacement from fwagwebafafbbggfbgaw.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 1174\/1948117 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 3. Let h = -1724 - -1729. What is the closest to -1\/4 in f, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 557 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 148 + -142. Suppose 4*p - 30 + 6 = 0. What is the third derivative of 110*m**l + 4*m**3 - 10*m**2 - 115*m**p - 4*m**3 wrt m?\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 - 7*s - 14. Calculate the remainder when 9\/2*2 + -2 is divided by r(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -68308*(1 + (-1)\/(-2)). Let l(s) = -580*s**3 - s**2 + 3*s + 2. Let w be l(-5). Let q = i + w. Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*f - 13 = 5, -2*f = -2*t - 4. Let i = 6 + t. Let 3\/2 - 3*w**2 + 0*w + i*w**3 + 3\/2*w**4 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35 - -36. Let t = -139559\/1972 - -10\/493. Let j = t + d. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147*q - 165*q - 18 = 0. Put 0.1, q, 2\/15, 4.8 in decreasing order.\nAnswer: 4.8, 2\/15, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1672 - -1667. Let h(x) = x**2 + 3*x - 15. Calculate h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 8*j**2 + 53*j - 22. Let g(c) = -7*c**2 - 47*c + 22. Give -7*g(m) - 6*t(m).\nAnswer: m**2 + 11*m - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2695458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*r**5 + 117*r**3 - 5*r - 676 wrt r.\nAnswer: -260*r**3 + 702*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 94 = -5*g + 258, -5*s = -2*g + 150. Let d = 74 - g. Which is the smallest value?  (a) -0.2  (b) 1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 25*d**2 - 47*d + 22. Give q(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -2\/150321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -48 - -20. Let o = v + -8. Let u = 48 + o. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1488 = -733*d + 857*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*q + 24 - 44 = 0. Sort -83, -4, q in descending order.\nAnswer: q, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 380*k + 124900 = 390*k. What are the prime factors of k?\nAnswer: 2, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.62 - 0.12. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22301 - 4120. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4595088 divided by 6?\nAnswer: 765848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 7*r**2 - r - 1. Let o be d(-7). Let h = 2 + 1. Determine b, given that 6*b**3 + b**4 + o*b**2 - 3 - 4*b**4 - 3*b**5 + 0*b - h*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 50625 + 17285 = 0. Let d = -500159\/30 + g. What is the common denominator of -68\/15 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2593*v + 1635*v + 2575*v - 1122*v + 113*v.\nAnswer: 5794*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + 27*u**2 + 50*u + 30. Calculate the remainder when 118 is divided by p(-25).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 7, k: 1, u: 5, f: 2, x: 3, y: 2}. Give prob of sequence xxu.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 284232.5 centimeters in micrometers?\nAnswer: 2842325000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7629759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -179*g**2*l + g*l + 72*l wrt g?\nAnswer: -358*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 345630 and 4483074.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*c - 52466 + 52690 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2713*p - 1571. What are the prime factors of g(6)?\nAnswer: 7, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = x + 3. Let v = -2 - 0. Sort 3, x, v in descending order.\nAnswer: 3, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 646488 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + -281431?\nAnswer: -28142b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2 - 4846*k - 504452.\nAnswer: -2*(k + 109)*(k + 2314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 17433\/(-81) + 60\/27 + -2. Let t = 303 + c. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 2. Let d(p) be the first derivative of -p**5\/60 - p**4\/6 + p**3\/3 + p**2\/2 - 1. Let a(c) be the second derivative of d(c). Determine a(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6, 3, -389099 in increasing order.\nAnswer: -389099, -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 0*u - 12*u + 2*u. Let p(n) = -n**2. What is l(p(h))?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 479566*h**2 - h**3 - 480221*h**2 + 1 - 2 to n + m*h + c*h**3 + p*h**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1211211022 (base 3) to base 9\nAnswer: 54738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -82*a - 2*a - 15*a - 10*a - 64*a in the form f*a + p and give f.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*g + 29 = 188*g + 183 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1176436 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/5)\/(9\/(-315)). Let v(m) = m**3 - 6*m**2 - 11*m + 8. Calculate v(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 164798 divided by -37\nAnswer: -4454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 27 = -21. Suppose 3*a - r*a = -5*o, -3*a + 18 = -3*o. Solve 1 = -t + 2*q - 4, 0 = a*t + q - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 150, 164, 180, 198, 218, 240, 264?\n\"Answer: w**2 + 11*w + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + f - 0*f - 55, -n - 2*f - 9 = 0. Let i = n - -29. Find the second derivative of 4*a**2 - 702*a**4 - 4*a**2 + 696*a**4 + i*a wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*y + 1186 - 164 = 0. Let v = y - -76. Suppose -3*c = a - 6 - 16, v*a + 5*c = 66. Calculate the lowest common multiple of a and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q + 2. Let v be a(9). Suppose b = -3*b + z + v, 3*z = b - 11. What are the prime factors of 8*b\/(-4) + 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -5*h**6 - h**2 + 3*h + 3. Let d(y) = -11*y**6 - 2*y**2 + 5*y + 5. Let i(x) = 3*d(x) - 5*n(x). Find the third derivative of i(s) wrt s.\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -3*t. Suppose 5*q = 4*j + 37, 4*j + j + 15 = t. Let r be 1\/5 + 84\/q. What is the highest common divisor of 51 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*d**3*l**2 - 2*d**3 - 3*d + 7*l**2 wrt d?\nAnswer: 30*d*l**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 6, y: 4, w: 7, d: 1}. Give prob of sequence mwmd.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 43, -1, 15, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 402, 380, 358, 336?\n\"Answer: -22*y + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-2))\/(6\/8) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.88  (b) 4  (c) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 4*l - 1. Let k be f(5). Suppose 26 - 2 = -k*b. Let w be (30\/(-40))\/(b\/16). Solve 0 = -3*r + w*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = u - 3*u. Suppose 5*j = 0, 0 = w - 2*j + 3*j - u. Suppose 0*m - w*m + 35 = 0. Solve 0 = -l + p - 2, -m + 1 = -3*l - p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52001483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 35221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93, 159, 225, 291?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 1:24 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m - 3 + 1 - 12*m**2 - 42*m**2 - 8*m + 2*m.\nAnswer: -54*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 - 2*b + 7. Let r(a) = -32911*a**2 - 2*a + 32917*a**2 + 37 - 8*a. Let h(z) = 11*c(z) - 2*r(z). Factor h(f).\nAnswer: -(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + i + 1 - 14, -6 = 3*i. Suppose -2*w + 10 = -2*h + q*h, 0 = -3*w - h + 13. Solve -w*u + 0 = -4*j + 21, 0 = j - 3*u - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*5)*2)\/sqrt(12).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15477 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 115546 + -583087\/5. Let h = l + 1072. Factor 6\/5*q - 3\/5*q**3 + 0 - h*q**2.\nAnswer: -3*q*(q - 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p\/p**(-4))*p*p)\/(p*p**(1\/7)))**(-17\/5) assuming p is positive.\nAnswer: p**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 0.5. Let w = m - -1.1. What is the third biggest value in w, 4, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -3*h**3 - 15*h**2 - 2*h + 1. Let u(b) = -4*b**3 - 22*b**2 - 3*b + 1. Let y(d) = -7*c(d) + 5*u(d). Calculate y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t - 15. Let n(r) = -r + 15. Let m(l) = 4*b(l) + 3*n(l). Let j be m(18). Which is smaller: j or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287073?\nAnswer: 3, 167, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2850 and 600?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -907 = -6*a + 833. Let j = 209 + a. Let r = 39 - j. Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -7 - (-24 + 8 + 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8473683.\nAnswer: 3, 23, 227, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 + 53. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3856*p + 4*s = 3861*p + 542 - 37, -694 = 7*p - 3*s for p.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4967 + -2952. What is the highest common divisor of z and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 103341096 and 944.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -49*v - 95. Let n be x(-16). Suppose n = 4*c - 427. Does 31 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -66 - -62 - (-10 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3.7*-2\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 + 4.9. Let g = 5.3 - j. Let r = 302 + -3320\/11. Which is the second biggest value?  (a) g  (b) 2\/3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1498581780 - -0.3.\nAnswer: -1498581779.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 52*a**2*b**2 + 2*a**2*t**3 + 49381*a*t**3 + 2520*b**3*t**3 wrt b.\nAnswer: 104*a**2*b + 7560*b**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2*q**2\/9 - 134*q\/3 - 812\/9 = 0.\nAnswer: -2, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135 is divided by 71\/3*(8 + -5).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(256)*2*-5 + sqrt(256))\/(sqrt(8) - (sqrt(512) - sqrt(512)*-2)) + -5.\nAnswer: -5 + 36*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (56\/(-36))\/(6\/(-9)). Let v be (-2 + (-16)\/(-6))*3. Factor t*l**v - 4\/3 + 4*l.\nAnswer: (l + 2)*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 215323300 rounded to the nearest 100000?\nAnswer: 215300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(((-588)\/238)\/(-7))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Solve -1167*j - 1167*j = -2425*j - 12103 for j.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 53*a. Let q(l) = 1 - 1 - 16*l**2 + 14*l**2. What is h(q(z))?\nAnswer: -106*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = -3*s - 2*u - 36, -3*s - 3*u = -15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 542568693 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 1282 and 1150 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 738*j - 733*j = 3*g - 243, 3*j = 7*g - 489. Suppose 0*c + 4*c - 149 = -f, 5*c = 3*f + 165. What is the lowest common multiple of c and g?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 5:12 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of s**3\/3 + 3*s**2\/2 + 99*s. Determine q(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 75 - 24. Let x = g - 47. Solve -k - x*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 22046 = -3826. Suppose -2*t - 10*t + m = 0. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-4) - (-672)\/(-896)*10*(4 + 3).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 + 3*i**2 - 2*i + 2. Let h be l(2). Let k be 0 + -50 + (h - 3). Let q be -4 + (k\/(-6) - 4). Is q not equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (790\/25)\/(46\/(-115))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -4*j**2 + 8*j + 23. Let c(g) = -11*g**2 + 24*g + 68. Let d(h) = 3*c(h) - 8*n(h). Let t be 1\/((136\/120)\/17) + -5. Give d(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -g**5\/20 + g**4\/4 + 19*g**3\/3 - 3*g**2 - 107*g. Determine j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 25*d + 19. Suppose -5*q = 2*h - 387, 4*h = 3*q + 2*h - 245. Let f = -73 + q. List the prime factors of t(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1093514*h - 40777*h + 145461*h.\nAnswer: -988830*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 p, 1 k, and 1 z when four letters picked without replacement from rzpzrzwzwkwwr?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*g**5 + 252142*g**4\/5 + 1862614*g**3\/5 + 690298*g**2\/5 - 826184*g\/5 + 18872 = 0. What is g?\nAnswer: -674, -7, -1, 5\/37, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 403555908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 8:54 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 104034434 (base 5) in base 4?\nAnswer: 1233033003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-106)\/(-22) + 42\/231?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -599314198*c**2*w**2 - 43*c*w**2 - 1293*c*w + 2*w**2 + 3 wrt c?\nAnswer: -1198628396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 + 40. Suppose 5*o = 66 + 149. Let k = o - p. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 315*t + 316*t + 9, -c + 6 = t. Solve 4*w + 23 = -3*n + 8*w, c*n - 2*w = -13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.55 plus -508.9?\nAnswer: -476.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 15400 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jcjcc. Give prob of picking 3 c and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 9*i + 480. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -326.8 - -327. Which is bigger: s or -1\/149?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times 29657509\nAnswer: -5931501.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/(-24)*4*1. Suppose 0 = -g + 1, -47 = -5*x - p*g + 15. Suppose -4*l - 5*i + 9 + 2 = 0, -16 = -5*l - 4*i. Solve -4*f - l = x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 5*j + 19, -t - j = -2*t + 1. Suppose t*s - s - 27 = 0. Let p be 2\/4*6\/s. Which is the second biggest value?  (a) -1  (b) p  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3165)\/6*(-12)\/30 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 4*k - 4*k)*(-2*k - 1 + 1) + 2*k**2 + 0*k**2 + 0*k**2 + (1993 + 88*k - 1993)*(2*k + 2 - 2).\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35 - -48. Let h = s + -12. Which is the closest to -2?  (a) -3\/7  (b) 2\/3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-169*j + 73*j + 41*j)*(0 - 4 + 2)*(0*j + 3*j**3 + 0*j).\nAnswer: 330*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 36025*a*i + 119*a*m**3 - 28*i*m**2 wrt m.\nAnswer: 357*a*m**2 - 56*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 442 + -11236063?\nAnswer: -11235321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6\/311 + 40705\/1866. Calculate the common denominator of 2 - 3*26\/92 and p.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-2) - (-1 + 3) - -1)*7446\/815337.\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3 + sqrt(11)*-3)*-5 + (-2 + sqrt(11) + sqrt(11) + -4 - sqrt(77)\/sqrt(175)))*-1)**2.\nAnswer: 1512*sqrt(11)\/5 + 79641\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -14. Is d at most 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4590 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*x + 53 - 13 - 31 - 9.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5620160057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/466504740 and -46\/23325237.\nAnswer: 466504740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 4*o = 63. Let z = -64 + o. Sort 5\/11, z, 3 in ascending order.\nAnswer: z, 5\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (94 + 52219\/(-553))\/((-189)\/(-28)).\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w. Let y(d) = -d**3 - 3*d. Suppose -4*j - 10 + 22 = 2*x, 0 = -3*x - 2*j + 18. Give x*c(k) + 4*y(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 27*b**3 - b**2 + b. Calculate o(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 205112 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -415\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i - 14. Let h(y) = -2*y + 14. What is -4*h(w) - 5*o(w)?\nAnswer: 3*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from xeyaedygedy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 0*c = -3*p - 3, -5*c + 21 = -3*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9934?\nAnswer: 2, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -406 - -214. Let o = i - -592. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1828801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -196*i**2 - 28231*i - 1052. What is m(-144)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 18311683323558 - 10\nAnswer: 18311683323548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 2*u - 2. Let p be x(3). Let k be 2*p\/2 + -4. Let o be 3*k\/(-18)*0. Solve -7 = 2*q + j - o*j, -5*j - 22 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k + k + 0*k)*(-11*k - 10*k + 22*k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of 1\/24*o**4 + 1\/12*o**3 + 0*o + 0 + 1\/120*o**5 + 2*o**2. Suppose n(c) = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q + 0*q - q + (0*q - q + 3*q)*(0 + 3 - 1))*(-6*q**4 - 6*q**4 + 6*q**4).\nAnswer: -36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/3*6\/(-4). Let s = 17.5 - 17. Which is the second biggest value?  (a) x  (b) -4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.5 - -1.5. Let n = 1 - g. Which is smaller: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11634 + 5819 + 5817 - 4792*j**3.\nAnswer: -4792*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -4*y**3 - 1524*y**2 - 145920*y - 144400 = 0.\nAnswer: -190, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 37*q + 143. What is c(40)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-42)\/(-18)*(43 - 3 - 1). Let q = -95 + i. Sort -1, 4, q, 5 in decreasing order.\nAnswer: 5, 4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2\/3*j + 2\/3*j**3 + 0 + 4\/3*j**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3474 and 43232.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 86 + -86.2. Which is the fourth smallest value?  (a) -0.3  (b) 2  (c) -10  (d) 3  (e) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/5 - 5610\/(-25). Suppose -5*g - y = -45. Let v be 80\/g - (-3 - -1). Which is the smallest value?  (a) v  (b) 2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 11, w: 1, c: 1}. What is prob of sequence wcwt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -55, -103, -151, -199, -247?\n\"Answer: -48*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*z + 101*z = 214*z - 979 - 17886 for z.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157407991.\nAnswer: 13, 67, 127, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (328\/(-308)*-7)\/((-130)\/715).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 392033254 divided by -196016627\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 - w - 1. Let r(l) = -53*l - 2. Let i be r(-1). Let v = 54 - i. Let c(h) = 19*h + 5*h**2 + 4 + 2*h**2 - 14*h - 2*h**v. Calculate -c(t) - 5*x(t).\nAnswer: 2*t**3 - 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -916*f**4*t - 4*f**2*t - 142*f wrt f?\nAnswer: -21984*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**5 - 1490*s**4 + 106460*s**3 + 674920*s**2 + 1374080*s + 924160.\nAnswer: 5*(s - 152)**2*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 2:21 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 432 and 8016?\nAnswer: 72144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 23, -4, -1, 2 in increasing order.\nAnswer: -4, -1, 2, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**3 + 620*n**2 - 608*n - 1232.\nAnswer: -4*(n - 154)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*a = 46, a - 54 = -5*v + 4*a. Calculate the smallest common multiple of v and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6765433 divided by -1\nAnswer: 6765433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(3) + sqrt(48) + -1 + 0 + sqrt(48))*3)**2.\nAnswer: -5832*sqrt(3) + 79056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 26*t + 18. Suppose -3*r = 2*s - 7 - 20, 32 = 5*r - s. Let c be l(r). Round c to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n - 18. Determine y(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 31 = 2*s - 81, 2*c - 5*s + 20 = 0. Let y = -32 - c. Which is smaller: -23 or y?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 2*q - 4*v - 4, 0 = 5*q + v - 65. Let x = 12 + q. What is the remainder when 94 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 529 = -7*u + 6*u, 5*u - 4*h + 2657 = 0. Let a = u + 344. What is a rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -531  (b) 245  (c) -0.4  (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -22478*a - 404632. Give n(-18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 (base 4) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5993 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5129, -2477, 1939, 8119, 16063?\nAnswer: 25771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -6 + 15*v - v**2 + 15 - 11*v - 8*v. Let d(x) = x - 10. Let t be d(5). Let h be n(t). Solve 3*y - y - h = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzzzxzzzzzzzzzzz. What is prob of sequence zzzz?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -o**3\/6 - 3*o**2\/2 + o + 3. Let u(i) be the first derivative of w(i). What is u(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 7*d**2 - d - 4. Let f be s(-6). Let h = f - -145. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 241, 235, 225, 211?\n\"Answer: -2*x**2 + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (((sqrt(200) - sqrt(50))*-4)\/(sqrt(5) + (sqrt(5) + sqrt(10)\/sqrt(2))*-3))\/(-1*(sqrt(45)\/sqrt(3)*5)\/sqrt(3)).\nAnswer: -3 - 4*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -6. Let z = 1.38 + 4.62. Sort 0.01, x, z in decreasing order.\nAnswer: z, 0.01, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38454 and 1768.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rjrrrwqjw. Give prob of sequence jr.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -566 + 562. Put p, -5, -19, 5 in decreasing order.\nAnswer: 5, p, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 6 + -1 + 4 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-90) + 6\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-145)\/(7975\/(-110))*15\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**2\/5 + 204*o\/5 - 126 = 0.\nAnswer: -105, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-882)\/(-630))\/(35\/(-175))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 6 = 4*p - 22, 4*p - 28 = -5*v. Suppose -13 = -z - 4. Calculate the least common multiple of p and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 203*j - 203*j + 14*j**2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 1  (c) 1\/8  (d) -0.243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -35808*o + 501247. What is y(14)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -734, 5, -1162, -2 in decreasing order.\nAnswer: 5, -2, -734, -1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-4\/5)*p**(-2\/19))\/(p*p**(-9)\/p*p*p*(p\/((p**(-5)*p)\/p))\/p))**8)**(1\/47) assuming p is positive.\nAnswer: p**(832\/4465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 8*u**2 - 130*u - 25. Give z(16).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(637) + 2 + -1 + sqrt(637) - sqrt(637)) + (1 + sqrt(637))*2 + -3 - (2*-1*sqrt(637) + (sqrt(637) + sqrt(637) + -1)*-1)**2*5) + 3.\nAnswer: -50962 + 301*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16 - -3 - -7) + (-3 - (-12 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39)\/(-232050)*119)\/(0 + 1).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28389328, 28389330, 28389332, 28389334?\nAnswer: 28389336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3945.92 bigger than -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 92796974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 32 = 2*q - 6*q, g = 2*q + 28. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1225 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-382)\/(-14) + 4\/(-14). Suppose k + 4*a + p = 8, -k + a + 6 = 0. Let v = 5 - k. Calculate the least common multiple of 9 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 37157\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*f = 5, -3*o = o + f - 1. Suppose -7*c + 5 + 23 = o. Let z = 2 - 0. Solve 5*t + 21 = -c*v, -z*t = -2*v - 6*t - 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 567 is divided by 195?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -2*d + 2*m - 11, -17 = 5*d + m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i**2 - 9*i - 8. Suppose 3*s - 4 = 4*a + 9, s = 2*a + 3. Let g be o(s). Let r = 155 - g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -319*j + 486*j + 231*j - 2 to the form h + z*j and give z.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g - 517 + 429 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-81)\/(-6) - 12\/(-8). Suppose -4*p = -5*p + k. What are the prime factors of ((-63)\/p)\/((-2)\/10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1109.9 + 1110. What is the fourth smallest value in -7, 4, j, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -6*y. Let p(h) be the first derivative of h**2 - 3. Determine p(j(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1460\/5083 - -8\/391. Factor -w + 4\/13*t**4 + 2\/13*t**5 - 16\/13*t**2 - 4\/13*t**3 - 14\/13*t.\nAnswer: 2*(t - 2)*(t + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.8 + -9.8. Let p = -6 - -11. Which is the biggest value?  (a) p  (b) t  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 - 67\/2. Let s be ((-5)\/(-2) + -4)\/6. What is the nearest to 0 in t, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 6 - 58 = 0. Let -m + 4*a**2 + 5 + 0*a**4 + 2*a - 5*a**4 - 2*a**3 + 4*a**4 = 0. What is a?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*-4*(-7)\/(-224)*5*364\/(-350)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41006.\nAnswer: 2, 7, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 445494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -493\nAnswer: 7\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 14 = -5*g. Suppose 0 = -g*j - 12. Is 8\/(-12) - 256\/j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 4777010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 12:01 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = -2*h, 7 = -5*s - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (700\/420)\/(10\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 - 4*q**2 + q + 1. Let j be h(-4). Let d(k) = 2*k - 3. Let t be d(2). Let m = t - j. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -24.5057 and -2507327.455?\nAnswer: 2507302.9493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12110034 (base 6) in base 5?\nAnswer: 44213332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.056742 rounded to 3 decimal places?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10220)\/(-12) + (-10)\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/(21\/(-6)) + (-906)\/112 and 9\/154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 205 + -66. What are the prime factors of p?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/13)*g*g*g\/g**4)**(-2\/159) assuming g is positive.\nAnswer: g**(22\/2067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18462 - 59890725\/3244. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 + 10. Let m be t(-3). Let l(k) = -5*k**2 - 12*k**2 + m*k**2. Let v(a) = 16*a**2. Determine v(l(u)).\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27020.3 or 155?\nAnswer: -27020.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 12:24 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5697, 11359, 17021, 22683, 28345?\nAnswer: 34007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/141, 6\/19, -2, -5?\nAnswer: 4\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -11*n + 428526991 - 428526991. Let i = 5 + -7. Calculate j(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + (471 - 0) + (-1 - 0) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 86*t + 75*t - 6*t**2 - 161*t. Give a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3810116 divided by 952529.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 537821 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**3 - 50*u - 34*u + 84*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2 + sqrt(13) - sqrt(117)\/sqrt(729))**2 + -3*sqrt(325)*6*4.\nAnswer: -1064*sqrt(13)\/3 + 1561\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 82 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -9. Let z be b - ((-4 - -8) + 0). Is ((-352)\/12)\/4*z a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4358172*a*i**3 - 3*a*i - 3664*a - 2*i**3 + i**2 - 2*i - 3 wrt i.\nAnswer: -26149032*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -14, 30?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 190060958?\nAnswer: 2, 95030479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 63*k. Suppose -2*t = -a + 5*a - 2, -t - 2 = 5*a. Let i be v(a). List the prime factors of -1 - i\/3*4.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -226*f - 9890. Is o(-99) a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 5*i**2 + 5*i - 6. Let z be 2\/((-3)\/42*-4). Let c(a) = a**2 - 5*a - 10. Let n be c(z). Determine h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -10545.\nAnswer: 3163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 108 and 108 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 + 3 = 4*y + 3*c, 0 = -3*c. Let s(r) = 2*r - 1 + 3 + 0 - 4*r. Calculate the remainder when s(-7) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 5*t**2. Let a(n) = -5*n. Suppose -3 = o + k, 3*o + 18 = -o - k. Let m(c) = 6*c. Let j(s) = o*a(s) - 4*m(s). Determine j(i(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/31608 and 83\/162054.\nAnswer: 284566824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -36*s**4 - 3*s**3 - 930*s**2 - 6. Let m(g) = 3*g**4 + g**3 - 2*g**2 + 2. Let n(k) = -3*m(k) - w(k). What is the third derivative of n(u) wrt u?\nAnswer: 648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (152\/(-39368))\/(31\/651).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -12, -9, -4, 3, 12?\n\"Answer: d**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1010222200222 (base 3) to base 14\nAnswer: -11c404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.8634 + 1.7634. What is the nearest to x in -4, 1\/3, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 25*a**4 - 240*a**3 - 375*a**2 - 110*a = 0?\nAnswer: -1, -2\/5, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 543617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -7 - 4 - (9 - 0 - 24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.46 + 34.6. Let m = 33 - q. Let u = m - -0.25. Which is smaller: 1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 8*d**2 - 5*d + 6. Let v be w(3). Suppose k - 117 = -o, -9*o - 2*k = -4*o - 573. Let m = o + v. Is 44 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from mwwpmfpopvmowpo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-2))\/((-1)\/3). Suppose 0 = 4*q - 0*q - 8. Suppose q*p - 2*r = r + i, -5*p + 10 = -5*r. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31 - -31. Suppose m = -3*k - 14 + 128. Calculate the highest common divisor of k and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -913 + 1470. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164 + 173 = 3*i. Let j = -122 + 123. Sort j, i, -5 in descending order.\nAnswer: i, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 330994 divided by -1?\nAnswer: -330994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 8. Let d = 6 - h. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 10 + 11*l - 3*l - 14 in the form s + q*l and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*v + 5*k - 105 + 110, -k = -3*v - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 6*b + 5. Let t be c(-4). Let q be (-18450)\/(-175) - t\/(-7). Is q <= 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 0*s**2 - 1\/8*s**4 + 0*s - 5 - 1\/40*s**5 - 26\/3*s**3. Let n(p) be the third derivative of y(p). Calculate n(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zdg when three letters picked without replacement from {z: 1, d: 1, g: 4, i: 11}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 - (60\/(-5) - -6). Let h be 1\/((5 - 2)\/(-63)). Let i = h + 24. Solve -i*p + t = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + 217 + (-2 - 1). Let l = -123 + z. Calculate the greatest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t**3 + 2*t - t + 0*t.\nAnswer: -4*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*o - 4*v - 25 = 56*o, 4*o - v - 25 = 0. What is the tens digit of 1*2\/((-2)\/o) + 305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -600 != -595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 - -6. Let f = 3 + c. Is 2\/7 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -416 (base 11) in base 7?\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6 + -4)*(1 + 45\/(-42)). Sort 2, -14, -4, t.\nAnswer: -14, -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*v**2 - 24*v**2 + 6 - 2 as i*v**2 + n*v + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -194986 - -4?\nAnswer: -194982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-363)\/66)\/(62\/(-651) + (-100)\/(-168))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 7*a**2 - a - 4. Let w be j(-7). Let z(x) = x**2 + 4*x - 3. Let b be z(-5). Solve -b*y - w = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45.489 - 50.489. Let l = 0.9 - -0.1. Which is the closest to l?  (a) 0.6  (b) i  (c) -0.1  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48 - -66. Does 9 divide -2 + 9 - (-350 - w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - (-2 + -10)) + 5 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.13 from -379.\nAnswer: -379.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2426.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**2 - d - 2. Let o be y(-2). Let l = -10 - o. Let b(p) = 74*p**2 - 2*p + 1. Is b(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -15, -7 - 27 = -5*k - 2*p. Suppose -k + 4 = -4*u. Let s be u*(-2)\/(-12)*4. Which is the smallest value?  (a) -4  (b) s  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 761.74452 microseconds in days?\nAnswer: 0.0000000088164875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = k - 2*q - 19, 28 = -4*k - 10*q. Suppose 2\/5*p**4 - 36\/5*p**2 - 8*p - 8\/5*p**k - 14\/5 = 0. What is p?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2*54\/225)\/(4\/(-10)). Factor 3\/5 + 3\/5*j**2 + i*j.\nAnswer: 3*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mee when three letters picked without replacement from {m: 4, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j*j**(-2\/15))\/j))**(-12)\/(j**(2\/3))**4 assuming j is positive.\nAnswer: j**(-244\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -160193177*b + 91063834.\nAnswer: -160193177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 206 - 140. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-6))\/((-4)\/(-24)). Let q = 1468.5 - 1468. Which is the closest to q?  (a) -4  (b) 1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -391\nAnswer: -117.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 - 4*q**2 - 6*q - 10. Let p(m) = m**2 - 7*m + 3. Let l be p(5). Is w(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 108 = -9. Let o(l) = -l + 8. Let u be o(8). Suppose u = p - 5*g - 26 - 142, -3*g = 4*p - 557. What is the greatest common factor of q and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from sqsmmccqm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339*u + 1188 = 285*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b - 6. Let o(a) = -7. Let c(g) = 7*i(g) - 6*o(g). Let d(s) = -42*s + 12. Let v(t) = -17*t + 5. Let z(q) = 5*d(q) - 12*v(q). Give z(c(l)).\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b**(-3)\/b)*b))\/b*b**(-1\/19)*b assuming b is positive.\nAnswer: b**(-96\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y + 5. Calculate x(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-32)*(-8)\/12)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12 + 8 + 6)*(-3*u**2 - 2*u**2 + 4*u**2)*(2*u + 0*u - 4*u) to f*u + i + c*u**3 + x*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52 - -74. Solve b + 10 = -4*n - 9, 2*b = -4*n - x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of -49*k**4\/36 - 12908*k**3\/9 - 1700168*k**2\/3 + 9461*k. Factor s(m).\nAnswer: -(7*m + 1844)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*n + 3*n + 2*n)*(n**2 - n**2 + 2*n**2)*(-5*n + 3*n - n).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 - 35405*a + 1449886. Give k(41).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 648939 or 648916?\nAnswer: 648939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + a = -12, 2*r + 24*a - 28*a - 12 = 0. Solve o = 2*o + 2*v + 4, v = o - r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -326*j**4 - 3069*j + 825. Find the first derivative of m(u) wrt u.\nAnswer: -3912*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191884*j - 191959*j - 1549 = 1226 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 27*q - 1. Suppose c - 3*c + 4 = 0. What is the remainder when 1\/(((-15922)\/(-420))\/(-19) - -2) is divided by f(c)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -434630080370 plus 15?\nAnswer: -434630080355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*5*78\/195. Find the second derivative of -49*b**3 - 3*b**3 - u*b**3 - 1 + 3670*b - 3680*b wrt b.\nAnswer: -360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*i + 2*i**2 + 11*i + 10*i.\nAnswer: 2*i**2 + 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.02, -1, -3, -2\/5, 3\/94, 0.04?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -7. What is the units digit of (13\/(-4))\/(d\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by -10642\nAnswer: 8\/5321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.071311 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.07012 and -11.\nAnswer: -0.77132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - -753?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (3 + 3) - (-8 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, j: 7, r: 10}. What is prob of picking 2 r and 1 s?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 = -5*h + 61*v - 63*v, 0 = -6*h + v + 246. Solve -h*l + 7 = -48*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1315587931?\nAnswer: 7, 83, 2264351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 4:05 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 173\/6 - 55\/2. Find r such that -13\/3*r**2 - 1\/3*r**4 + 4*r + 2*r**3 - d = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 - 1 + 1)*(2 - 2 - 4)*(2*z**3 - z**3 + 2*z**3) - 4*z**5 + 0*z**5 + 3*z**5.\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (48\/252)\/(180\/(-70))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*x - 11*x - 10887. What is the remainder when x is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (49\/35)\/((-84)\/(-360))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4299, -82, 1?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 11833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - 8)\/1*(-10161665)\/68 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -162320 divided by 80\nAnswer: -2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/32)\/((-1 - 1)\/4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 114174 - 60538. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 201 divide 1184708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -121331100113 (base 4) in base 14?\nAnswer: -c91abd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(832) - sqrt(832)*-1 - sqrt(832))*3)**2 + (-4*(3 + sqrt(13)) - sqrt(208)*3).\nAnswer: -16*sqrt(13) + 119796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -541318052*j + 295046344?\nAnswer: -541318052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76.469 nanograms to grams.\nAnswer: 0.000000076469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/15)\/(4\/(-1380)). Let m = -90 - n. Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/36 and 73\/13*8\/24?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, e: 2, h: 5, j: 1, l: 1}. Give prob of picking 1 e and 1 o.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 + 38*n - 261. What is the remainder when 133 is divided by l(27)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/229390 and -143\/180670.\nAnswer: 20415710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o + 6. Suppose -3*q + 15 = -0*q. Let u be v(q). Let m(p) = 6 + 5*p - 4 - 3. Give m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 5*s - 27 = -15, f - 4*s + 14 = 0. Solve -5*j - 3*i = f*i - 20, 2*i = -3*j + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 + 20. Let w(m) = 2*m**2 + 4*m - 4. Let d be 3 + 3\/(0 - (-9)\/(-6)). Let l(o) = -o + 1. What is d*w(b) + i*l(b)?\nAnswer: 2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.39797774 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - v - v + 0)*(-257*v**2 - 776*v**2 - 1106*v**2 + (-v**2 + 5*v**2 - 3*v**2)*(0 - 3 + 1)).\nAnswer: 4282*v**3 + 4282*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1107 + 5361?\nAnswer: 5360.8893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 58, 182, 428, 838?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 113\/4*(-7 - 1). Let s = -221 - n. Which is the third biggest value?  (a) s  (b) 3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/4)\/((-62)\/(-1860)). Let t(g) = -31*g - 14. Let l(v) = 62*v + 28. Let y(h) = -3*l(h) - 5*t(h). Is y(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -121840*n**2 - 8*n + 14722 wrt n.\nAnswer: -243680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -34810.81 take away 5727?\nAnswer: -40537.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*l, -5*c = -3*l - 5 - 0. Suppose -c - 12 = 16*f. Is 6 a factor of (686\/(-56))\/((-3)\/(-12)*f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 704151.\nAnswer: 3, 7, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fkc when three letters picked without replacement from {f: 1, r: 3, h: 1, c: 2, k: 3, n: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -15754  (b) 16\/21  (c) -2  (d) 1  (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 49\/5 - (-20)\/100. Suppose -s*y + 11*y - 1381 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 42\/23  (b) 1\/4  (c) 2  (d) 0.2  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 395 and 2528.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 475 divide 4268350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(24) - sqrt(72)\/sqrt(3)))\/(sqrt(12) + (sqrt(12) - (sqrt(12) - (sqrt(12) + (sqrt(60)\/sqrt(5)*-6 - sqrt(12)))))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a minute in seconds?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 164692463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x - 1. Suppose -g = 3*b - 1, b + 2*b = -3*g + 15. Suppose -2*j + g*j - z = 15, -4*z - 16 = 2*j. Let w be 2 + (-3)\/(-6)*j. Calculate t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -8*k. Let a(u) = -u. Let p(n) = 2*n. Let x be (-2)\/(-4) - (-12)\/8. Let l(j) = x*p(j) + 2*a(j). Calculate w(l(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*i = 48*i - 14. Factor 0*m - 1\/2*m**3 + 0*m**i + 0.\nAnswer: -m**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 928151.8 grams in milligrams?\nAnswer: 928151800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 88103827 - -14806173. What is u rounded to the nearest 1000000?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202400 (base 7) in base 2?\nAnswer: 1000011011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, z: 13}. Give prob of picking 2 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**3 + 0*l**3 + 3*l**3 + (3*l**2 - l**2 + 0*l**2)*(-2 + 2 - 2*l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19327 - 19323. Suppose 0 = -2*s + 17 + 167. Calculate the greatest common factor of r and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - 9 - 81\/(-12). Let i = 50\/21 + -12\/7. What is the closest to k in 1, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*h = 32*h - 85 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 8) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2023479 by -674493.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 3*c - 673, 3*w + 25 = -2*w. Let v be 4\/14 + c\/28 + -5. Solve -4*p = -v*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7528 (base 11) to base 15\nAnswer: 2e37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7 - (-165)\/(-22))*20\/(-1). Let j be -1*5\/(m\/(-9))*44. Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -169\/4 - -539\/12. Factor -46\/3*t**3 + 6*t + 0 - v*t**4 - 20*t**2.\nAnswer: -2*t*(t + 3)**2*(4*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - f - 1 = 0. Let a be (6\/20)\/(f\/5). Put a, -0.2, -0.5 in decreasing order.\nAnswer: a, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 38, 77, 132, 203?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -254 + 97 + 70 + 88. Let a(f) = -2*f**2 - 4*f - 2. Let d be a(-2). Let j(h) = 3*h + 3. What is d*j(w) + 6*m(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a kilometer in meters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + 6*k + 6. Let n(m) = m**3 + 10*m**2 + 8*m - 2. Let b(o) = o**2 - 8*o + 3. Let r be b(6). Let c be n(r). Let p be t(c). Is p > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/(-36) + (-410)\/(-6). Let o = 69 - s. What is the biggest value in 0.4, o, 2\/3, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 10, -0.1367412, 0.4?\nAnswer: -0.1367412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.04  (b) 1\/3  (c) 0.2  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(114)\/(sqrt(384)*1)*-1 + (sqrt(304) + sqrt(304)*-2 + 2)*-1.\nAnswer: 1 + 31*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1260.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00013647 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 4*q + 35. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-317 + 713 - 311)*(-4 + 2 + 4 + (-2 + 4 - 1)*(0 + 1 + 1) - 2 + 1 - 1 - 3 + 0 + 5 - 2 - 3 + 4)*(31*v + 151 - 151) as w*v + r and give w.\nAnswer: 7905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 36 = -3*r, 5*r - 124*f = -123*f + 4. Suppose 47 = -5*v - 3*d, 15 = 5*v + d + 54. Sort -1, r, v in decreasing order.\nAnswer: r, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2826798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 5*n = 50. Let d be -2 + (1 - n\/2). What is the highest common factor of 60 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1346660167.\nAnswer: 311, 4330097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 PM and 8:50 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*(sqrt(1008) - (-1*sqrt(1008))**2).\nAnswer: -360*sqrt(7) + 30240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 10*a + 1482. Let d = a - -372. Is d a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 74006359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.427+-452876649\nAnswer: -452876649.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - 452?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*h**4 - 5*h**4 - h**4 + (-3 + 1 + 1)*(h**4 + 0*h**4 + h**4) to the form o*h + f*h**3 + g + b*h**2 + l*h**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/68916720 and 89\/6891672.\nAnswer: 68916720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 747 + -613. What is the remainder when p is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -41 - 1479*f**4 - 13 - 81*f**3 + 2967*f**4 + 117*f - 1473*f**4 + 75*f**2.\nAnswer: 3*(f - 3)**2*(f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 49  (c) -5\/4  (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (-16 + 4)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3407*s - 10204. Determine g(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1938 is divided by 541?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 419692224 and 3864.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 13 + 7 = 0. Let i be ((-4)\/(-16))\/((-2)\/l). Which is smaller: i or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - -8. Suppose 0 = 22*d - 25*d + s. Solve -d*p - 13 - 12 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 206733 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 4:53 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 4.5. Let a = -2.5 - j. Let f = -7 + 7.3. What is the second smallest value in 1\/4, a, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 167998432 and 0.121.\nAnswer: 167998432.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -3*d - 12. What is the remainder when (-23802)\/(-162) - (-58)\/783 is divided by v(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15908255 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 353 a factor of 18709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 313\/42 + -3 - 4 - (-12)\/(-72). Factor -68\/7*c**3 + 52\/7*c**4 - 2*c**5 + 32\/7*c**2 + s*c - 4\/7.\nAnswer: -2*(c - 1)**4*(7*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/3 or -1.8244?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*q - 19*q - 25*q + 8*s - 52 = 15*s, -3*q = -s - 40 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 41, 83, 141?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9814309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 1512\/136 + (2 - 21\/34)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -8. What is the third derivative of r*b**2 - b**5 - 2*b**2 - 2*b**5 - b**2 wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -14. Let y = 2 + f. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/sqrt(48) + (sqrt(12) + 2)**2.\nAnswer: 17*sqrt(3)\/2 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -4*u - 21. Let x = 5786 + -5793. Give i(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujurrguujrrwww. What is prob of picking 1 w and 1 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -3*a. Let n(l) = -2*l + 27. Determine n(i(f)).\nAnswer: 6*f + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3091228 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1838 + 5516\/3. Let 0*p + 0*p**3 + 0 - 1\/3*p**5 + w*p**4 + 0*p**2 = 0. Calculate p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76.91723l in millilitres?\nAnswer: 76917.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 9, 3*m - 2*m - 3*m - 6*k - k = -51 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(6171) - -3*(sqrt(6171) + 3*sqrt(6171))) + sqrt(6171) - sqrt(6171)) + sqrt(6171))\/(-2*sqrt(75)*-5).\nAnswer: 77*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -17, -0.26 in ascending order.\nAnswer: -17, -0.26, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q - 3 + 3)*(3 - 6 + 2) + 0 + 33*q - 43*q - 1 + (4 + 0 + 1)*(0 + 0 + 2*q) - 2*q - 1 + 1.\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*r + 860 + 9850. Calculate the remainder when r is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5557 rounded to 2 dps?\nAnswer: 2.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 51 and 0.3.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of -2552*s**5\/5 + 675*s**4\/4 + 2*s - 4904. What is the third derivative of y(l) wrt l?\nAnswer: -61248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 113208 and 194192?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -4, 1\/4, 276, 73?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**4\/8 + 107667*c**3\/4 - 483034536*c**2 + 965961408*c.\nAnswer: -3*c*(c - 35888)**2*(c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*o**2 + 5 - o**2 - 2*o**2)*(2 - 1 + 3)*(-73*o - 1291 + 1291) to b + s*o**2 + h*o**3 + n*o and give h.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10812 in 0, 26, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -633, -1271, -1909, -2547?\n\"Answer: -638*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*j - 9 = -37*j. Which is the smallest value?  (a) -1  (b) j  (c) -4  (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -5*c**2 - 4*c. Let p(y) = -4*y**2 - 5*y - 1. Let n(o) = -6*p(o) + 5*x(o). What is the smallest common multiple of n(10) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/336 and 79\/56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -718, -720, -722?\n\"Answer: -2*o - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -1 - (-7 - (-30 - -19))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.27 + 8.38. Let j = 1.04 + g. Let y = j - 13. Round y to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 8. What is the third derivative of -f**4 - p*f**4 + 2*f**2 + 4*f**6 + 5*f**4 wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 951?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.4  (b) -200  (c) 33\/7  (d) 4\/3  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3 = 2*c - 0*v, 0 = 5*v - 15. Suppose 203 = 8*g + c. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*h - 5*h + 4. Suppose 20 = 5*j, 4*r + 4*j + 0*j = 4. Let v = h - r. Sort 0, 3, v in ascending order.\nAnswer: 0, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -403, -1162, -2287, -3784, -5659, -7918, -10567, -13612?\nAnswer: -17059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/18 + (-7041)\/(-27). Let g(r) = -92*r + 213. Let f be g(2). Calculate the highest common divisor of f and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 506 is divided by 108.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 141679250*4.\nAnswer: 566717000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (145*o - 286*o + 132*o**4 + 141*o)*(o + o + o).\nAnswer: 396*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r**2\/7 - 120*r\/7 + 1300 = 0. What is r?\nAnswer: -65, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -4*r + 4*w + 72, 3*r + 4*w = 89. Suppose 0 = -r*q + 6*q + 2584. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 5*p - 5. Let s be g(2). Suppose 53 = 2*r + 5*d, -2*r - 3*d + 74 = -s*d. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -16359, -32739, -49141, -65565, -82011, -98479, -114969?\n\"Answer: -11*s**2 - 16347*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 8379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 5*o - 32, -4*q + 14 + 10 = 3*o. Calculate the remainder when 14 is divided by (2 - -5) + (q - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -91.0000235 - -91. Round p to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 354+0.0607\nAnswer: 354.0607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) -11  (b) 1.2  (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - (-35 - -90)) + 43?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g**(1\/5)\/g)*g*g\/g**4*(g*g\/(g**(-1\/5)*g))\/(g\/(g\/(g\/g**(1\/5))))*(g**2\/g**5)**(23\/2) assuming g is positive.\nAnswer: g**(-343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f**3 - f**3 + 4*f**3 + (-20 + 483*f - 483*f + 2*f**2)*(3 - 4 - 2)*(2*f - 2*f - 3*f) in the form u*f**3 + c*f**2 + d*f + n and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w**3 - w**2 - 3*w - 9. Let u be m(-6). Suppose v - u - 599 = 0. List the prime factors of v.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-22)\/(-10) + (-38)\/190. Suppose -11 = n*c - 19. Solve -2*g + c*g + 12 = -2*x, -6 = -g + 2*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20406\/53 + 385. Let i = r - -115\/477. What is the closest to 0 in 0, i, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 5:28 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -303943185 divided by -105\nAnswer: 2894697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 812845 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(272) + 3*sqrt(17)*-2.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 96405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 + 37. Round u to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -5. Let v(l) = 9*l - 3. Let k(m) = -23*m + 8. Let u(f) = 20*f - 7. Let z(s) = -3*k(s) - 4*u(s). Let y(q) = -5*v(q) - 4*z(q). Give y(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -96.334 to 0 decimal places.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -6*s**4 - 776510*s**3 + 517682*s**2 + 776510*s - 517676 = 0.\nAnswer: -129419, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111030869 is divided by 205.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 30\/7*k**5 + 426\/7*k**3 - 8 - 218\/7*k**2 + 274\/7*k**4 - 456\/7*k = 0.\nAnswer: -7, -2, -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiihhiiiiiiihhhiiih. What is prob of picking 4 i?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 67 = 3*s, -24582*f - 2*s - 62 = -24581*f for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 47829 and -4?\nAnswer: -191316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -22*v**5 - 2*v**4 - v**2 + 3*v - 2. Let n(r) = -r**5 - r**2 + r + 1. Let j(f) = -i(f) + 3*n(f). Find the third derivative of j(g) wrt g.\nAnswer: 1140*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 0*y**2 + 16*y**2 - 13*y**2 + 5*y**3 + y to i*y + m*y**2 + j + k*y**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 110 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -cb9 - -3?\nAnswer: -cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -437*v**6\/120 - 105*v**3\/2 - 98*v**2. What is the first derivative of l(t) wrt t?\nAnswer: -1311*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -4\/2167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 66*c + 354. List the prime factors of j(60).\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 1. What is the smallest common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.2585 - -0.3\nAnswer: -1.9585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t + 36. What is m(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*1304\/(-736) + (5 - -2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**3\/5 + 21*y**2\/5 - 83*y\/5 - 21 = 0 for y.\nAnswer: -1, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 94 - 93. Let m be (6 - 8)*-2 + y*2. Solve -5*a - 9 = m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101001011 - 100111110?\nAnswer: -1010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8869791 is divided by 676.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 12. Let a = 4 + -15\/4. What is the third biggest value in n, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -7\/9, 3\/8, 9, -2\/9, 10, 0.02?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-13) - (465\/65 - -2). What is the tens digit of (-42)\/4*276\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 197\/66 - 29\/66. Let i be 2\/8 - 27\/12. Find the common denominator of (i\/(-16))\/(1\/55) and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z**3 - 2*z**3 - z**3 + 7*z**3 + 42*z.\nAnswer: -2*z**3 + 42*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9)\/(-60) - 4\/10. Let p(z) = z - 4. Let o be p(7). Suppose -2*d - 10 = -o*u + 3, 0 = 4*d + u - 9. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 3*u + 2. Suppose -l + 3 + 2 = 0. Give i(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wkkcbwbwwbwkwwwwbb. Give prob of sequence kbkk.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35 + 352\/44)\/((12\/(-8))\/3).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1001*h - 1034*h - 330 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 940573018 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/18*51\/340. Let r(y) be the second derivative of 0*y**2 + 0*y**5 + 2*y + 1\/2*y**3 + 0 + 0*y**4 - g*y**6. Find the second derivative of r(x) wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - b = -51 + 156, 0 = 5*k + 5*b - 285. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7316 (base 15) to base 14.\nAnswer: -8c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 757.6 and -33771.\nAnswer: -25584909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 9*b - 19. Suppose 2*d + 2 = 5*l + 34, 0 = 2*l - 2*d + 14. Let k be o(l). Let i(u) = -3*u. Calculate i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i - 4*q = -i - 1603, -642 = -2*i - 2*q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 126, -11, 0, -3, 4 in decreasing order.\nAnswer: 126, 4, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -h**2 + 2*h + 2. Let p(l) = -l + 6. Let m be p(3). Let k = m - -2. What is b(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 8*o + 7. Let t(c) = -7*c - 6. Let q(r) = 6*d(r) + 7*t(r). Let j(y) be the second derivative of 0*y**2 + 2*y + 0*y**3 + 1\/6*y**4 + 0. Give j(q(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -70*c - 1444 + 3544. What is the smallest common multiple of 4008 and c?\nAnswer: 20040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20 and -0.3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1065 and -0.0648?\nAnswer: 0.0069012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-54))\/((-16)\/(-12))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x**5 + 4*x**4 - 116*x**3 + 316*x**2 - 320*x + 112 = 0 for x.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, 5\/6, -0.201435, -5?\nAnswer: -0.201435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7721603?\nAnswer: 271, 28493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152605*b + 115241*b - 140685*b.\nAnswer: -178049*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-98)\/(-12) + -8 + 82\/12. Let t(v) be the second derivative of 1\/2*v**4 + 1\/14*v**z + 0 + 0*v**2 - 1\/2*v**3 + 0*v**5 - v - 1\/5*v**6. Factor t(f).\nAnswer: 3*f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 48*t + 4. Let x(k) = -47*k - 3. What is -5*x(u) - 4*y(u)?\nAnswer: 43*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d - 3*d + 3*n - 41 = 0, 2*d - 3*n = 29. Let r be (-6)\/(-15) - (-16)\/d. Find the third derivative of -3*x**2 + x**3 + r*x**3 - 4 + 4 wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/7, -265, 1\/17, 1\/9, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/280 - 20\/70)*(-10)\/(-70).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -62*z + 64*z. Let x be ((-7)\/63)\/(z\/9). What is the smallest value in 0.4, 3, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**17*(a**25*a*a)\/a*a**(2\/59)*(a*a*a**(-26))\/a assuming a is positive.\nAnswer: a**(1064\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 834844.4l?\nAnswer: 834844400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 10*k**2 - 25*k + 4. Let l(m) = 10*m**2 - 25*m + 5. Let z(g) = 4*l(g) - 5*p(g). Find the second derivative of z(a) wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1961, 1953, 1955, 1973, 2013, 2081, 2183, 2325?\n\"Answer: r**3 - r**2 - 12*r + 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16667.1 + -15503. Is 1 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 516 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 8, 22, 42, 68, 100?\n\"Answer: 3*f**2 + 5*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d - 104*d**2 + 108*d**2 - 2*d + 113*d**3 + 0*d to l*d**2 + q*d**3 + g*d + b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 227962668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 146*u**3 + 3*u**2 - 7*u - 5. What are the prime factors of n(2)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2586911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u - 3*u + 4 + 4. Let m be z(3). Suppose m*r = -3*i - 0 - 5, 5*r + 5*i - 5 = 0. Sort 3, r, 2 in descending order.\nAnswer: 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lljl when four letters picked without replacement from ljlllllllljljljljjj.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by 16761412.\nAnswer: 3\/4190353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 947, 1883, 2819, 3755?\nAnswer: 4691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -72768 + 125881. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, z: 11, k: 8}. What is prob of picking 2 z?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b + 3. Let i be 6*-1*(-4)\/(-12). Let p be i\/(4\/(-6)) + 2. Suppose 5*s + 5 = 0, 0 = -3*n - s + 19 - p. Give o(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 720 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -bc9?\nAnswer: -bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8833177 is divided by 441658.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 3:55 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -300ad - 3?\nAnswer: -300b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2156 divided by -76.\nAnswer: 539\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -0*j + j + 10, 5*a = -2*j + 7. What is the units digit of (-1)\/4 + (-13)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 - 4*f**2 + 10*f - 11. Let u be t(-6). What is the third biggest value in -5\/6, u, -3, 2\/13?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -9) + -4 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-37)\/(r\/(r\/(r*r\/(r\/(r\/(r*r*r\/(r\/(r\/(r*r*r**(4\/5)))))))*r))) assuming r is positive.\nAnswer: r**(-199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -525 - -517. Let q(x) = -x**2 - 8*x + 7. What is q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4962 + -4961.6. What is the nearest to -0.1 in 0.2, -0.5, p, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-1)*(-27)\/(-180)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7798 is divided by (-9)\/((-77)\/132 - 2\/12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {j: 1, e: 1, h: 1, o: 2, s: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 158792\/8630*30\/(-12)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1192489 is divided by 700.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6194 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 32*n**2 - 8. Let w be a(3). Suppose 283*q - w*q = 57. Solve q = 2*h - 5*v, -4*h + 2 = -0*v + 2*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.07 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 39070 and 61?\nAnswer: 2383270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -603, 0.2, -2\/9, 0.5, -0.4?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -19. Let m = -4 - -6. Suppose -m*p + 2*g + 10 = 0, p - 5*p + 38 = 2*g. Calculate the greatest common divisor of c and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**6\/10 + 3*x**5\/20 - x**4\/8 - x**2. Solve s(j) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2a5c + -16b?\nAnswer: -2bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Express -906*i**3 - 543*i**2 + 306*i**3 - 331*i**3 - 544*i**2 + 1079*i**2 in the form s + z*i + b*i**3 + t*i**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10211023 (base 4) in base 10?\nAnswer: -18763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 + -3. Let a(m) = 3*m. Let f(r) = 14*r + 10. Let z(v) = -3*v - 2. Let t(x) = -2*f(x) - 10*z(x). Determine c*t(g) - 5*a(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 - -16. Let t(x) = 2*x**2 + 5*x - 2. What is the remainder when 43 is divided by t(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -3\/2, -4\/53, 1\/15?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -163 - -4?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y + 10. Let s be w(9). Let f be ((-4)\/6)\/((-2)\/(-3)). Sort f, -6, s.\nAnswer: -6, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 356\/18 + (-3 - (-116)\/36). Let t = y - 20. Let p(f) = f - 12. Determine p(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/2 in -386907, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -256, 8, -1 in increasing order.\nAnswer: -256, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/3)\/(15536\/971).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 618, -657, -3828, -8895, -15858, -24717?\nAnswer: -35472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4318 + 26602. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3 - -0.5. Let z = -3.1 + 3. Let t(y) = -3*y + 1. Let b be t(2). What is the closest to 0.1 in z, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 38971?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -217785 * -1.\nAnswer: 217785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 + 1. Let k be 0 + 5*(-4)\/(-10). Let v be t(k). Let o(y) = 7*y**2. Let s(q) = -q**2. Determine v*s(j) + o(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-118*t**2 - 136*t**2 + 407*t**2)*(-2 - t + 2) to y + w*t**3 + m*t + n*t**2 and give w.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 103 and -0.24?\nAnswer: -24.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7251725 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrp when three letters picked without replacement from rrrrprrr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-12)*(-3)\/(-2). Find the second derivative of -3*a**3 - r + 2*a + 1 - 3*a wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2*(1*sqrt(448)*-2 + (sqrt(448) + -1)*-6 - 1*(sqrt(448) + -5*(sqrt(448) + 2*sqrt(448)))))**2.\nAnswer: 2496*sqrt(7) + 64681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -158*o**2 + 12*o - 21. Let x(g) = -105*g**2 + 8*g - 15. Calculate 5*q(k) - 7*x(k).\nAnswer: -55*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*z - 59 - 319 = 0. Calculate the common denominator of -99\/16 and (-2 - (-87)\/4)\/(z\/3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49384 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 24824 + 3?\nAnswer: 24827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 14 + -249d?\nAnswer: -2489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o - 3*o + 86 + 784*o**2 - 1569*o**2 + 782*o**2.\nAnswer: -3*o**2 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*u - 28*u + 31 - 187 + 0*u)*(2*u + 1 - 1) to a + f*u + o*u**2 and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 122 (base 3) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/23, -1, -2\/3, -0.4, -4, 1951\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/6*(4 - 1 - 4). Suppose -23 = -2*s + 5*y, -r*s = -5*s - 3*y + 3. Let a = 8 - s. Solve i + 12 = 4*o, -a*o + 4 + 0 = i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/12 + (273\/(-18))\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fnnlslfnfnefesnns. Give prob of picking 1 n, 1 e, and 2 f.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 3140*k - 1795982. Calculate u(572).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 0*i + 408 = 0. Let n(f) = 2*f**2 - 20*f - 2673. What is the remainder when i is divided by n(-32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, w: 2, m: 5, o: 8}. What is prob of picking 2 m and 1 o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*b**2*d**2 + 21495*b**2*d + 9297*b**2 + 9 wrt d?\nAnswer: -6*b**2*d + 21495*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*v**2\/7 + 4*v\/7 = 0.\nAnswer: 0, 1\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -7*s + 390. Let u = s - 58. Solve 0 = 5*n - 5*f + u, -2*f - 1 = n - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, -0.043, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o - 3*o - 1 + 4*o - 10*o**2 to the form d*o**2 + b*o + i and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m**3 - m**2 + 2*m + 5. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.5 + 0.3. Let d = -0.22 - c. Let b = 39563\/296835 - -1\/19789. What is the third biggest value in 5\/6, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*m**3 + 954 + 796 + 794 - 2544.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -22*k. Let v(h) be the first derivative of h**5\/40 + 4*h**3\/3 + 2. Let x(r) be the third derivative of v(r). What is 3*f(z) + 21*x(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(539)*-3 + sqrt(539)).\nAnswer: 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 764.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (124\/186)\/(6\/21069)?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 482861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**(-3))*j**(-3\/4)*j)\/((j*j**(1\/3)*j)\/j)**43 assuming j is positive.\nAnswer: j**(-649\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, e: 10, a: 3, p: 2}. Give prob of sequence ppe.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 71848*d**2 + 9115*d?\nAnswer: 143696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -49624520 divided by 10253\nAnswer: -4840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1955\/667 + 4\/58. Let w = 2 - 2. Sort h, -1\/8, -7, w.\nAnswer: -7, -1\/8, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kaa when three letters picked without replacement from {a: 3, k: 17}.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 2\/13, 53?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*a**4 + 39*a**3 - 51*a**2 - 39*a + 6 = 0. Calculate a.\nAnswer: -1, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {c: 2, o: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 126 = 2*v, -3*w + 108 = 2*v + v. Calculate the least common multiple of w and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 956 + -953. Which is the nearest to 1.1?  (a) -1\/3  (b) 4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w + 2*w**4 + 3*w**2 - 3*w**2 + (0 + 0 + 2*w)*(2*w**2 - 2*w**2 + 2*w**3).\nAnswer: 6*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/8 in 0.19, 1284, -0.4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 6081, 12160, 18239, 24318?\n\"Answer: 6079*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -18*n**2 + 18. Let g(k) = 723*k**2. Calculate r(g(h)).\nAnswer: -9409122*h**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 23*w = -24*w - 17, -26*m - 2*w = 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/(11\/(330\/4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from btinkvin.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -173 + 73 + 82 - 18*q - q**2. Let g be s(-17). Let m be ((-82)\/28 + 3)\/(g\/4). Which is the biggest value?  (a) -3  (b) -34  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48 = -5*r - 7*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i - 5*i + 835 - 859 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/5, 10, -0.07987, 1?\nAnswer: -0.07987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-13)\/(728\/32) + (-47283)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2107 and 3010.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/480 and 149\/432.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -y - 37. Let s(b) = -2*b + 7. Let z(v) = -4*p(v) - s(v). Calculate z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = w + 6*l - 46, 0 = 3*w + 4*l - 83. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (77\/(-21))\/11*((-14)\/(-2))\/((-217)\/(-1023)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 60 = -o - 3*j, -2*j = -o + 28. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -8, 1\/5, 4, 123, 7 in increasing order.\nAnswer: -8, 0, 1\/5, 4, 7, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (21 - 24) - (0 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 + 48. Suppose -v = v - n. What is the remainder when 19 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1691 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - 4*i + 4*i)*(107*i + 643*i + 194*i).\nAnswer: 944*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 11:45 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.57 + -1.47. Suppose 0 = 5*s + 2*h - 11, 3*h = 3*s - 0*h - 15. Which is the nearest to i?  (a) -1\/4  (b) -0.4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1877137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.48 + -0.38. Does d = 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -11637, -46534, -104693, -186114?\n\"Answer: -11631*o**2 - 4*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + sqrt(567)) + 1*sqrt(567) + -2.\nAnswer: -9*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b8b - -71?\nAnswer: -1b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 + 1 - 4) + 8\/(-9). Let k(y) be the second derivative of 0*y**4 + 1\/90*y**5 + 2\/9*y**2 + 0 - y - f*y**3. Determine q so that k(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.038 * 9.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -92740250971246851875\/2826862 - -32806783978577. Let u = c + -2\/146217. What is the common denominator of u and 59\/8?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-42)\/11 - 2\/11. Let o be 140\/(-6) + v\/(-12). Let b = 49 + o. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-78)\/(-5)*(430\/(-20) - -24). Solve 17 = -n*y + 37*y + 5*k, -4*y + 4*k = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 568 + 408 + 316 = -68*t for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*i + 341 - 33. Let m be 40\/(-28)*i\/2. Solve -4*v + m = -8*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37, 87, 163, 277, 441, 667, 967, 1353?\nAnswer: 1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + i + i)*(0*i**3 + 3*i**3 - 2*i**3) - 2*i**4 - 2*i**4 + 5*i**4 + ((0 - 1 + 2)*(2*i - i + 0*i) + 12*i + 13*i - 3*i)*(-6 + 3 + 1 + 3*i**3).\nAnswer: 71*i**4 - 46*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of i**5\/60 + i**3\/3 - 5*i**2. What is the first derivative of y(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2b + 47?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26820 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-13)\/(-5) + (-2)\/(-5). Solve -2*n = -x*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2*sqrt(119)\/sqrt(7) - ((-2*sqrt(153))\/sqrt(9))**2) + 2 + 0.\nAnswer: -338 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1332 divided by 1?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 124  (b) 2\/21  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12137 + 12141. Which is the nearest to 0.1?  (a) 29  (b) -8  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1408395 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -7*o + 74. Let k be u(-14). Let v = 425 + k. What are the prime factors of v?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -77\/5 - -15. Let n = -4019.3 + 4019. Which is the closest to -3?  (a) 2  (b) x  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2205898259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1253 is divided by 413.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 11*s**2 + 1514*s - 9276. Determine x(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 0 - 0) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-620)\/(-14) + 2\/(-7))\/(19 + -21)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 57 + 4*3\/4. Let d = o - 30. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0 = 2. Let a(o) = 5*o**2 - 1. Let r be a(2). Let b = r + j. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19839651289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**2 + 2*f**4 + 0*f**2 + (1 - 2 + 3 + (-4 + 3 + 2)*(4 - 5 + 3) - 1 + 1 + 3)*(-2*f**4 - f**4 + f**4).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3171604 divided by 53756\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -105345, -210645, -315945, -421245?\n\"Answer: -105300*w - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 2*j + 143 + 190, -5*q = 5*j - 555. What is the highest common divisor of q and 1813?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(56) - (sqrt(168)\/(sqrt(3)*2) - sqrt(56)))\/(sqrt(128)*-6 - sqrt(8)).\nAnswer: -9*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11307651 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ckq when three letters picked without replacement from {z: 2, c: 2, q: 1, k: 1, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*o - 80 = 97*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-4 + 2) - (41 - 41).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 5*d**2 - 123*d + 64. Determine g(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -245 - -249. Suppose 0 = -p*m - 2*f + 38, -5*m - f - 2 + 42 = 0. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 9937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 4*m - 500 = 0, -3*m + 6*m = -2*s + 223. Let y be 79\/(-20) + 4 + 21\/280*266. Calculate the highest common factor of s and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 994 + -990. Let o = 4.54 + -0.04. Which is the closest to o?  (a) -5  (b) 0  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 3*s**3 + 3*s**2 + 4*s - 11. Let f(u) = -4*u**3 - 2*u**2 - 5*u + 13. Give -4*f(a) - 5*i(a).\nAnswer: a**3 - 7*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 39310582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, e: 4, y: 1, m: 3, g: 2, d: 6}. Give prob of sequence de.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1398 + 0.1298. What is the closest to 0.3 in -0.06, -4, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 222624, -5, -3, -0.6 in increasing order.\nAnswer: -5, -3, -0.6, 222624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 611150.0883 rounded to the nearest ten?\nAnswer: 611150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -10*m**2. Suppose 5 = 18*z - 31. Calculate t(z).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(t\/(t*t*t*((t*t*t\/(t\/t**21))\/t)\/t)))\/(t**(-19)*t))**35 assuming t is positive.\nAnswer: t**1505","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*i = -36. Suppose v - i = -4. Suppose 5*d + 5*f = -30, -f = -5*d + 9 - 15. Sort 2, d, v, -4.\nAnswer: -4, d, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 363664712 to the nearest integer?\nAnswer: 19070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 246651032.9962 - 246582301. Let k = -68722 + h. Let s = k + -10. What is s rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 394715.\nAnswer: 5, 89, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4577633 * 3.\nAnswer: 1.3732899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 PM and 5:08 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -3725\nAnswer: 1\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2269 - 0.2007. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of f**6\/30 - 2*f**3\/3 + f**2 + 3*f. Let q(l) be the first derivative of p(l). Differentiate q(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o + 2 - 2)*(4 - 3 - 3) - o - 2*o + 4*o + 161*o - 558*o - 403*o + 41*o as w*o + x and give w.\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8572?\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-282)\/(-2115) + (-2654653)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 30*c - 2. Let v(i) = 712967*i. What is s(v(d))?\nAnswer: 21389010*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b - 4*b + 5*b + (-3 + 1 + 1)*(5*b - b - 11*b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m + 1 - 1 = 0. Is 273 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1*j)**(3\/5)*j**3*j**1)**(-15) assuming j is positive.\nAnswer: j**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 500718 - 352741. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -767591976527 + 767591976527 - 13*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -3 + 1. Let y be 4\/(2*-2) - x. Solve 2*f + 1 = -y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272644 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -500 - 790 = -5*c. Let v be 1\/3 + (-2)\/(36\/c). Put v, 2, 5 in increasing order.\nAnswer: v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 773 = 5*r - 3*k - 558, 0 = -4*r + k + 1062. Let h(o) = -o**2 - o - 5. Let d be h(0). Calculate the common denominator of (1\/d)\/(12\/r) and 1\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*f**3 - 18 + 18.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -3*t + 0 + 0*t**3 - 1\/12*t**4 + 0*t**2. Let b(w) be the third derivative of -w**5\/30 + w**2. Determine p(b(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 67830145 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 + -0.3. Let z = -0.033 + 0.033. Which is the second biggest value?  (a) -1  (b) z  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -437, -436, -431, -422, -409, -392, -371?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 12 = -f, 3474*j - 3478*j = -66*f + 466 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 58*s**4 - 195 wrt s?\nAnswer: 232*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u + 113. Give s(-60).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/11*-18)\/(-23*153\/51612).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39 by 8924506.\nAnswer: 39\/8924506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-35811)\/(-153) - (-5)\/(-85). Calculate the greatest common divisor of o and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 + 6. Sort n, -1, -4.\nAnswer: n, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/13  (b) 1  (c) 82\/9  (d) -8  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4563 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1991 is divided by 1868.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**3 + 8*u**2 - u + 4. Let w be s(4). Suppose -5*z + 42 - 7 = w. Let q(d) = d**2 - 4*d - 9. What is q(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of d**3\/3 - 5*d**2\/2 + 3*d. Let c be g(4). Let v be 8*1 + (-9)\/c. Solve -4*l = -3*u - 22 + 8, 5*u + 15 = v*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.06 - -0.06. Let c = -0.1 - b. What is the closest to 0 in 0, c, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (9\/12 + -1)\/(1\/(-20)). Let v(y) = -31*y**2 + 3*y + 3. Let m be v(3). Let i = -1866\/7 - m. Which is the third smallest value?  (a) 1\/2  (b) o  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 14 = d, -4*i + 1 + 6 = 5*d. Let h be ((-37)\/(-20) - 2)*120\/(-135). Let u = 6 + -6. Which is the nearest to 2?  (a) d  (b) u  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/386 and -9\/1930.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4fd26 (base 16) to base 13.\nAnswer: -b5a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00009965 to 7 decimal places.\nAnswer: -0.0000997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -4*d + d + 1 + 2. Let h(b) = 409 + 3*b - 4*b + 79 + 5*b - 490. Give 3*c(k) + 4*h(k).\nAnswer: 7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -89 + 99. What is the remainder when 129 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 734 a factor of 79474598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5 = c - 3*o, 3*o = -2*c - 4. Let m = c - 1. Suppose m = -t + 3*t - 4. Solve 0 = d - 0 - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -539 - -553. Calculate the remainder when 837 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/9)\/((-155)\/10132350). What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-68)\/8 - 10\/(-4). Let r(w) = -7*w + 16. Let l be r(m). Suppose 0 = 4*y + 5*z - 103, -l = -3*y + y + 4*z. What is the highest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2240*d - 3968*d + 723*d - 139314 = 222696 for d.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s**2 - 2*s - 7. Let f be u(3). Suppose q + f*q = 3336. Suppose 4*o - q - 1032 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1680\/552 + (-4)\/184*2. Suppose -f + 4*f = 0. Solve 0 + 1\/4*h + f*h**2 - 1\/4*h**s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(3 + 20\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 686394696 divided by -481\nAnswer: -1427016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of -359*l**4\/4 + 73*l**3\/3 + 5*l**2\/2 - 758. What is the third derivative of o(q) wrt q?\nAnswer: -2154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2529006 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 - 4*u + 418. Calculate f(16).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by (96\/(-28))\/(2\/(-14))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -32*q - 17. Let l(y) = 63*y + 31. Let n(a) = -6*l(a) - 11*x(a). What is n(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-6\/7)\/q)**(4\/7)\/(q**(-15\/2)\/(q**(-2)*q)))**(-12\/5) assuming q is positive.\nAnswer: q**(-3198\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -4*c - 3. Let v be r(-2). Let x = v + -3. Let u be 7 + (3 - (4 - -2)). Solve -x*h = 2*z + 4, 5*z = -u*h - 6 - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 543, -4, 2\/5, -5, 213, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**3\/6 + 3*y**2 - 34*y. Calculate n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -1564, 2\/17 in descending order.\nAnswer: 2\/5, 2\/17, -1564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 167, 86, 1, -5, -1, -2 in descending order.\nAnswer: 167, 86, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.05243 - -0.01201. Let z = r - -0.037. What is z rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 60 = 3*a, 7*a = 2*a - 4*l + 63. Let t(f) = 4*f - 7 + 5*f - 2*f. What is the units digit of t(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -173\/30 and -1 - (2 + 16\/(-11)).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -221799, -443516, -665233?\n\"Answer: -221717*x - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 915906385 a multiple of 6311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.274682 micrometers in meters?\nAnswer: 0.000008274682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10097237741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -29*g**3 - 3*g**2 - 3*g. Let y(s) = -2*s**2 + 39*s**3 - 3*s**2 - 98 - 5*s - 97*s**3 + 98. What is 5*u(f) - 3*y(f)?\nAnswer: 29*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2803.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 15 = -3. Suppose -3*n**3 - 2*n + 3*n**5 - 2*n + s*n = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - -190209571716\nAnswer: 190209571715.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -3 + 22\/6 + (-844)\/(-3).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f - 7. Let m be a(-8). Let w be (-1)\/((-12)\/(-15) - m). Suppose 0*n = 5*n - w*b - 75, 0 = 3*n - 5*b - 35. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**3\/11 + 52*k**2\/11 - 232*k\/11 + 240\/11 = 0.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -877 at most as big as -877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-20) + (-41)\/5. Let b be (-50)\/h - (-9)\/12. Solve 7 + b = -j - 3*r, 2*r = 3*j - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 45825, 91432, 137035, 182634, 228229, 273820?\n\"Answer: -2*y**2 + 45613*y + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*(-4)\/(-8)*-1. Let a = 1 + 5. Let p = a - 5.5. What is the third biggest value in l, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8182125 divided by -77925.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.73 less than -11746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - p = 37215, 2*p + 27916 = 3*n + 6*p. Suppose -3*l = -3*r + 1906 - n, 4*l + r - 9869 = 0. Let v = l - 1127. Round v to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 78*g**3 - g**2 + 44*g. Let f(d) = -157*d**3 + 2*d**2 - 87*d. Let k(z) = 2*f(z) + 5*j(z). Find the second derivative of k(m) wrt m.\nAnswer: 456*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/15?  (a) -1\/7  (b) -486  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -4) + 2 + -15 - -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f - 91*f**2 - 106*f**2 + 4273*f**3 + 196*f**2 to the form v*f + k + g*f**3 + p*f**2 and give g.\nAnswer: 4273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 42751.\nAnswer: -3\/42751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xkxnxxzxbbbb. What is prob of sequence nn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7.6 + -7. Let l = 34 + -34.1. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29260 and 242820?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6525\/(-75) - (0 - 22 - (-96)\/8).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -119 + 121. Let o(a) = -2232*a + 3. Let t be o(-1). Suppose -d = c*d - t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -4*p**2 - 3*p + 4. Calculate h(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4077, -1, 2158 in decreasing order.\nAnswer: 4077, 2158, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h + 34. What is the remainder when 148 is divided by l(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 148718326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 2)*(3*k + 2*k - 6*k) + (0 - 2 + 0)*(3*k + 8*k + 4*k) - 4 - 8*k + 4 as u*k + x and give u.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 - 2*n**2 - 3*n - 3. Let g be o(-2). Let i(a) = a - 3. Let u be i(g). Let v(y) = -y. Let f be v(u). Solve f = k + 3*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 388*p + 3651 = -2549 + 1156 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8015733\/567 - (-2 - (-132)\/63) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - 6*8\/(-12). Let a be (2\/(-5))\/((-2)\/(-10)). Calculate the least common multiple of 9 and ((4\/x)\/a)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 959256523?\nAnswer: 959256523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -88, -146, -182, -196, -188, -158, -106?\n\"Answer: 11*b**2 - 91*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24744 and 39?\nAnswer: 321672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 - -10. Let k = j - -31. Let x = k + -10.2. Which is the nearest to x?  (a) 3  (b) 0.5  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131036 is divided by 288?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/9*2*-1. Let r = 0.26 + 0.04. What is the second biggest value in -4, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6862 + 3*z**4 + z**3 - 6860 - 2*z**4 - 2*z**2 + 51*z as g*z + c*z**4 + k*z**3 + f + b*z**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of 38*t**7\/35 + 43*t**4\/12 + 172*t**2. Find the second derivative of v(d) wrt d.\nAnswer: 2736*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 415 divide 11968962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -294*t + 269*t = -20500. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18228 - 6827. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1413 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 16, 17, 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -52*f + 1. Let c(o) = -46*o + 1. Give -6*c(g) + 7*j(g).\nAnswer: -88*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/52507?\nAnswer: -2\/52507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 0 - (-114)\/38 - (4 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 21*t - 59, -3748*t + 2*c + 36 = -3750*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 23 = 5*v, v + 4*v - 15 = -5*q. Suppose v*j + n - 110 = 0, 5*j - n + 0*n - 100 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - -9. Let m = 57 - 60. Let t(n) = -2*n**3 + 3*n**2 + 6*n + 5. Let s be t(3). What is the smallest value in m, s, u, -3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (124\/(-465))\/(-12*6\/(-60)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -233*m**2 - 141*m**2 + 991*m**2 + 529*m**2 to h*m**2 + u + z*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(-3 - (-9 + 7)). Suppose 5*f = 5*b + 317 + 163, 201 = s*f + b. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 113883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w - 4*w + 180 = 0. Does 21 divide 105 + (2\/9 - 4\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 + 25 + (-10 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 5*z = -286, -4*q + z + 290 = -q. Let g = q + -103. Let m(y) = -2*y - 13. Let x(f) = -f - 6. Determine g*m(w) + 13*x(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 242307413.4 and 184?\nAnswer: 242307229.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2765)\/1975*(-40)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(22)\/sqrt(2) + 5)**2 + (sqrt(11) + (sqrt(66)\/sqrt(3))\/sqrt(2) + -4*2*sqrt(11))**2.\nAnswer: 20*sqrt(11) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 21 = q - 7, 0 = 5*w + 15. Calculate the remainder when 83 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -17*(4 - 3 - 3). Let s = u + 211. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 2 - 2)*((n + 5*n - 5*n)*(-3 + 5 - 3) + 0 + 0 + 2*n + 9*n + n - 9*n) as p + b*n and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 92 - (50\/5 + -7). Suppose 5*p + 86*x - 3838 = f*x, 0 = -4*p + 4*x + 3072. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 - 3*w + 7. Let m(s) = s + 1. Let z be m(6). Suppose -z*d = -2*d + 30. Give o(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xsxsxxxxsxsxxssxsxx. Give prob of sequence xsx.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 6 + 2. Is 12 a factor of (-1)\/(-1)*h*59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = h + c - 4*c, 2*c - 32 = -5*h. Suppose i - 342 = h*j - 8*j, -5*j + 855 = -3*i. What are the prime factors of j?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15 - -3)*2\/3 - -2. Let w(j) = 10*j**2 + 1. Let d(f) = 2*f**2. Give c*d(h) + 2*w(h).\nAnswer: 8*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*150.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 889 + 5712 = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 61383968*h**5 + 49723869*h?\nAnswer: 1227679360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 261901350 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*m = -14. Let o be (-1)\/(-2) - m\/2. Let n = 44 + -42. What is the nearest to -1 in o, 5, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 696?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11010 - -11008. Which is the closest to -3?  (a) f  (b) -5  (c) 0.5  (d) 0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/6 + (-315)\/(-6). Let k(v) = 3*v**3 - 2. Let t be k(2). Suppose t = -h + s. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2)\/v)**(-32)*(v*v**(1\/7))**(-1\/14) assuming v is positive.\nAnswer: v**(4700\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of -2*r**5\/15 - 4*r**4\/3 + 8*r**3\/3 + 112*r**2\/3 + 256*r\/3 - 4903. Find o, given that p(o) = 0.\nAnswer: -8, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 151 - -478058327.704\nAnswer: 478058478.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, y: 3}. What is prob of sequence yy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1526, -1550, -1580, -1622, -1682, -1766?\nAnswer: -1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-3*(-19)\/(-4560))\/(1\/6))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x + 6*x - x. Let i = 48 - 46. Let f(a) = 2*a**2 + 6*a**2 - 4*a**2 - 7*a**i. Calculate f(y(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -h. Suppose -3*m + 4*m - 3 = h. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1036 or 0.5?\nAnswer: -1036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of 1\/12*d**4 - 9*d**2 - 1\/30*d**5 + 0*d - 1\/3*d**3 - 1\/120*d**6 + 0. Suppose -1 = -4*i - 13. Determine b(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5995\/(-7085))\/((-3)\/(-78))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104938 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91342369 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4626185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 3, -5, -4800735, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189*f - 868*f + 167*f - 3 + 3 + 189*f + 320*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 828.1638 - -0.1.\nAnswer: 828.2638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 85*i**6 - i**3\/6 + 286*i**2 - 3*i - 32. What is the second derivative of p(l) wrt l?\nAnswer: 30600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17.76 - 17.87. Which is the third biggest value?  (a) 9\/2  (b) x  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-4 - (-12 + 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1352, 0.5, -0.2, -4 in ascending order.\nAnswer: -4, -0.2, 0.5, 1352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -7*l**2. Let g(c) = -6618*c. Give i(g(y)).\nAnswer: -306585468*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 102, 131, 140, 123, 74, -13, -144?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005688 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -73*x + 3340. Let h(v) = -17*v + 836. Let c(o) = 15*h(o) - 4*w(o). Determine c(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26735755 + 2143100\nAnswer: -24592655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2\/727 + 5095\/2181. Let g be -5 + 4 + (-2 - 2). What is the common denominator of -1*6\/g*(-3)\/6 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 824*z**2. Let u be d(-2). Let r be (u\/84)\/(2\/6). Let h = r - 118. What is the second smallest value in 0.5, 5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 7 + 4 = -3*a, -s = 5*a - 29. Let w = -17 - -38. Let t = w - s. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 2*h**2 - 18*h - 8. What are the prime factors of m(-6)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**4 - 121*z**3 + 3*z**2 + 361*z - 242 = 0. Calculate z.\nAnswer: -121, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c + 8*c = -18. Suppose 32*l + 387 = 451. Let y be (-2)\/((-1)\/(-1) - 3). Solve -c*t + 3 + y = -p, -2*t - 2 = l*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 5\/77, 2, -0.6, -95?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 986427207 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-415)\/(-30) + (-5)\/6. Calculate the greatest common factor of 156 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 7*b**3 - b**2 + b + 2. Let a be j(3). Let y = a + -103. Suppose -3*c + 129 = 3*q, 2*q = -c - 0*c + y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24*f**3*r*s**3*v**2 - 3*f**3*r*s*v**2 - 4*f**2*s**2 + 2*f*r*v + 4*f*s**3 + r*s**2*v**2 wrt f.\nAnswer: -144*r*s**3*v**2 - 18*r*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 3:32 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, q: 1, l: 2}. Give prob of picking 1 l and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -23.194.\nAnswer: -4.6388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2463696 divided by -16\nAnswer: -153981","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 52\/11 > -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -92*s**3 + 12729*s**2 + 7*s - 12727*s**2 + 108*s**3 + 2 to b*s**3 + o + m*s + i*s**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (9 - 11) + 0 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 15 = -3*d, 3*d - 626*o + 622*o + 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00214888 rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 42 = -o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8 + -7a?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143*n + 1492*n + 127*n + 1560*n.\nAnswer: 3036*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 13686?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 157707 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 81*f**2 + 30*f**3 + 17 - 27 + 10 - 2*f wrt f.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/2 and -1\/2051.\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 4*w + 25. Let q be o(-4). Solve -3*f - q = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 - 26*y**2 + 23*y + 32. What is the lowest common multiple of i(-27) and 16?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -65 + 67. Which is the third biggest value?  (a) 3\/4  (b) s  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 4*q - 5. Suppose 4*d = -8*d - 48. What is s(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -20*s**2. Let n = 7 - -4. Let c(r) = -41*r**2. Let p(g) = n*w(g) - 6*c(g). Let z(i) = 2*i. Determine p(z(b)).\nAnswer: 104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (1*(2*sqrt(425) - sqrt(425)) + (sqrt(425) + 0 + sqrt(425))*2)*-2 + -2)**2.\nAnswer: 100*sqrt(17) + 42501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**3*g**2 + 18259*d**3 - 1403*d**2*g - 2*d*g**2 wrt d.\nAnswer: -12*g**2 + 109554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**2 + 12*i + 8. Let v be z(-5). Let m be -8*(v - (-32)\/(-2)). What is the greatest common factor of 216 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -102 + 114. Suppose -o*h = -17*h + 450. What is the second derivative of -12*p**5 + 52*p - h*p - 8*p**5 wrt p?\nAnswer: -400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 - 4*t**2 + 4*t. Let y be w(-5). Suppose 6 = -8*n + y*n. What is the units digit of (5 + n + -9)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*v - 2*v + 2*v - 4*v + 2*v + 4*v + 4*v + v - 3*v + 1 - 1 - v - 3 + 3 - v + (-1 + 2 - 2)*(-5*v + 4*v + 3*v) + v - 2*v + 0*v - 2 + 2 - v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.31489 - -0.362. Let i = -0.048 + a. What is i rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54 + -55. Sort -4, h, 0 in decreasing order.\nAnswer: 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 56\/215 and -77\/740?\nAnswer: 31820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -210 - -211.21. Let y = a + -1.61. Put 1.5, y, -1\/3 in ascending order.\nAnswer: y, -1\/3, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.64808 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1181 is divided by 533?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 10:59 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 3*r + 5)*(20*r**2 + 25*r**2 - 19*r**2)*(3*r**2 + 0*r**2 - 5*r**2).\nAnswer: 156*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3373 + 4942. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -138*o + 143*o - 25. Let f be (5 + 92\/(-20))*o. What is the greatest common divisor of f and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2989309442.\nAnswer: 2, 7, 593, 360071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 3:32 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 207825 and 250.\nAnswer: 2078250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 22\/5 + 12\/(-30). Suppose 0 = -l*u - 6 + 18. Suppose u*v = 7*v - 340. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3.8614 and -11.22.\nAnswer: -15.0814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/2  (b) 1\/3  (c) -3\/52  (d) 2  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 174  (b) 0.4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 4*k - 3*a - 20, k - a - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -6*k - 13. Let s(z) = -3*z - 6. Let t(u) = 7*s(u) - 3*w(u). Let g(d) = -4*d - 4. Give 4*g(l) - 5*t(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = 4*m - 16. Suppose -m = -2*p + 45. Let d(w) = -w - 25 - p + 68. Determine d(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -15*b. Let a(j) = 2*j**2 - 2. Let u(m) be the third derivative of -m**5\/15 + 5*m**3\/6 - 7*m**2. Let f(z) = 15*a(z) + 6*u(z). Calculate o(f(q)).\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 3*l**2 + 2*l - 2. Let y be g(3). Solve 8 = y*i - 4*q, 0 - 8 = -2*i - 2*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/7 + 22158*m\/7 + 566644.\nAnswer: 2*(m + 182)*(m + 10897)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106892*v + 58291 = 106071*v for v.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6\/317 - -329\/634. Put -196\/9, b, -4 in decreasing order.\nAnswer: b, -4, -196\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/34)\/(83\/((-125579)\/534))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x**2 - 11*x - 14. Let z be o(-12). Let s = -88 - z. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3227 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z - 11. Let a be 18\/81 - (-76)\/(-18). Let k be r(a). What is the greatest common factor of 55 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a + 6 + 0*a**2 - 4*a**2 + a**2 + 5*a**2 to m*a**2 + l + b*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1344)*-2)\/sqrt(3).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of 0*w**3 + 0*w**6 + 1\/70*w**7 + 0*w + 14*w**2 - 3\/5*w**5 + 0 + 2*w**4. Let i(q) = 0. What is q?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1493\/10 - 76\/5. Which is smaller: i or -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = 2, 2*h + 2*t = 5*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of b**3*h*q - b**3 + 117*b**2*h**3 - 47*b*h**3*q - h**2 wrt q?\nAnswer: b**3*h - 47*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 235800 and 960?\nAnswer: 1886400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c**2 + c + 4. Let y(j) = -2*j**2 - j - 4. Calculate -4*o(l) - 5*y(l).\nAnswer: -2*l**2 + l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1652 is divided by 538.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 130.4?\nAnswer: -65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x**4\/2 - 4705*x**3\/2 - 5541279*x**2\/2 - 16449947*x\/2 + 77380814 = 0. What is x?\nAnswer: -2351, -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, k: 3}. Give prob of sequence ks.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1853397, -1853391, -1853383, -1853373, -1853361, -1853347, -1853331?\nAnswer: -1853313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 354, 701, 1048, 1395, 1742?\nAnswer: 2089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, -419, 0, 0.3, -1\/6 in increasing order.\nAnswer: -419, -1\/6, -2\/17, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-21)\/90 + (-2)\/(-5). Let y = 16 + -22. Let a = -1 - y. What is the second smallest value in 5\/4, c, a?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 101*o**3 + 2*o**2 - 188*o + 2. Let q(k) = 101*k**3 + 2*k**2 - 189*k + 3. Let c(t) = 3*h(t) - 2*q(t). Find the second derivative of c(v) wrt v.\nAnswer: 606*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of -p**3\/6 + 3*p**2\/2 - 3*p. Let n be b(4). Is n greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 519504 is divided by 259742?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 951 a factor of 30005001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*v**2 - 5304 + 2647 - 25*v**2 - 23*v + 2657.\nAnswer: -3*v**2 - 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 3 - 4. Suppose 1 - 2 = -y. Let k(l) = -1 + a*l - l + y. Let d(r) = 2*r. Calculate k(d(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 4:21 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 170439 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l - 1. Let y(v) = v**3 + 13*v + 29. Give 2*h(g) - y(g).\nAnswer: -g**3 - 11*g - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/15 - 0)\/(128\/480). Factor 0 + 0*a - 3\/4*a**3 + p*a**2.\nAnswer: -3*a**2*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from {w: 4, d: 4, l: 7}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-186)\/(-3)*-2*(17160\/(-240))\/143.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 + 151 = 37*r - 275 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -88218.5?\nAnswer: 17643.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 + g**3 + 13 + 21.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -66\/5, -0.012, -5, 1, 61, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 21040.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1664 or 1655?\nAnswer: 1664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -4*o + 21. Let c be b(9). Is 8 a factor of 6\/c + (-682)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-22) - (1728\/33)\/(-2). Suppose 0 = u + u + w. Find the common denominator of ((-4)\/2)\/(53 - u) and 19\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9212 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/2)\/((-4)\/24). Let q be 14\/4 + (-43)\/(-86). Suppose 56 = 2*g + u*h, -q*h = 2 - 10. Calculate the remainder when 149 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-44)\/(-143)*273\/42. Solve -6 = p + 2*p, t*d - 3*p = -2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 34562.26 centuries?\nAnswer: 3456226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-10)\/o*o\/(o*o**(-11)))\/((o*o**11)\/o**(9\/5)) assuming o is positive.\nAnswer: o**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the third derivative of 2*c**7\/35 - c**6\/8 - 3*c**5\/20 + 5*c**4\/8 - c**3\/2 + 5*c**2. Factor u(s).\nAnswer: 3*(s - 1)**2*(s + 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 3*s, -2*u - 170*s = -168*s. Sort -10, -15, 5, u in increasing order.\nAnswer: -15, -10, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41 + 29. What is the highest common factor of c and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 448 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 94.76421 kilometers?\nAnswer: 94764210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 7:54 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -678, -756, -834, -912?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 589372 and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4844 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 7*o**4 - 16 - 8*o**3 + 32*o - 12*o**2 + 7*o**4 - 20*o**4 + 10*o**4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 2 - (-17 - (-5 + -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 4*z**2 - 5*z + 6. Let p = -108 - -111. Let u be v(p). Suppose u = -24*c + 26*c - 4. Solve c*x + 13 - 5 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 + 3)*(3*p - 29*p - 8*p) + p - 15 + 15 + (2 + 0 - 3)*(-3*p + 0*p + 2*p) - 8*p + 2*p + p to b + u*p and give u.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12000418895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by 44109.\nAnswer: 4\/14703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -316*z - 2322 = 2242 - 772 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -m**2 - 69*m**2 + 65*m**2 + 841*m + 302*m in the form x*m + h + c*m**2 and give x.\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-1 + 1 - (13 + -19)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**3\/4 - 9*j**2 - 33*j\/4 = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) - -3*(sqrt(12) + sqrt(48)))\/(sqrt(216)*1))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 + 40*s + 39.\nAnswer: (s + 1)*(s + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 4*t + 9*t - 265, 0 = -s - 5*t - 59. Is 2\/(-9) + (-4 - 16050\/s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-78)\/(-13)*2\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/12 + 2\/(-8). Let k(f) be the third derivative of 0*f**3 - 1\/240*f**5 + f**2 + 0 + j*f - 1\/96*f**4. Factor k(d).\nAnswer: -d*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 26, 29, 36, 47, 62, 81, 104?\n\"Answer: 2*t**2 - 3*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5950*h - 576 = 5958*h for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**3 - 3*r**2 + 4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (63\/(-1))\/21*(-26)\/(-6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 22 = 18. Let t(v) = v**2 + 3*v + 4. Let d be t(-3). Is d\/(-16) + (-58)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 941\/3 + -289. Let c = 1441\/3 - 503. Find the common denominator of c and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 345, 819, 2109, 4623, 8769, 14955?\nAnswer: 23589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.03 + -0.14. Let m = v - -0.06. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -w**5\/15 - w**4\/12 + w**3\/3 + 5*w**2\/6 + 2*w\/3 - 5. Find m, given that l(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 plus 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 852250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w*w\/((w*w*w**0)\/w)))\/w)\/w*(w*w**(4\/5))\/w)\/(w\/w**(-1\/5)*w\/(w\/w**3)))\/((w\/(w*w*w**(-7\/2)\/w))\/w**(-1\/6)*(w**1)**(-44)) assuming w is positive.\nAnswer: w**(524\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1241 is divided by 403?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.21 and -1445 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -101, -778, -2609, -6170, -12037, -20786?\nAnswer: -32993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + -27. Let h(c) = -c**3 - 7*c**2 + 7*c - 7. Let p be h(w). Find the second derivative of -33*y + 12*y + 21*y**2 - 1 + p wrt y.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*d**2 - 11 + 11 - 64708*d + 64939*d.\nAnswer: -21*d**2 + 231*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1020860 is divided by 3369.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-1\/8))\/(z*z**9))**(-22\/3)*((z**(-2\/13)*z)\/z**0)\/(z**(-1))**(-2\/31) assuming z is positive.\nAnswer: z**(318523\/4836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a**2\/6 + 23*a\/6 - 13 = 0. What is a?\nAnswer: -26, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 7*i**2 + 5*i - 5. Determine w(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126657 is divided by 517.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1816 + 6622*r + 364 - 6619*r.\nAnswer: 3*r + 2180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnspznsnnnsn. Give prob of picking 1 z and 1 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(192) + 3*sqrt(192)) - sqrt(192) - sqrt(192) - (sqrt(192) + 2)*3 - (5 + (sqrt(192) + 5)**2 - sqrt(192)*-5*-1).\nAnswer: -208*sqrt(3) - 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 22*t**2 + 23*t + 41. Let y be i(-21). Which is bigger: 2.6 or y?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5558799 to the nearest integer?\nAnswer: 2358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (570\/(-110))\/1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -5  (b) -2  (c) -3\/7  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.061 - 0.921. Let y = f + -0.14. What is the nearest to y in 3\/4, -0.4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 47 = g, -3*o + 2*g + 90 = -3*g. Let i = o + -22. Suppose 3*u - 4*u + 17 = -i*p, 3*u + p = 71. What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1219241943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*v - 69 + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-3\/5)\/(v\/(v*v\/(v*v**(1\/11)*v)*v)))\/(v**1*v\/(v\/v**(-4))))**(-12\/11) assuming v is positive.\nAnswer: v**(-1524\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -1 - 7\/2*y**2 - 1\/12*y**4 + 1\/20*y**5 - 5*y + 0*y**3. Let k(z) be the first derivative of s(z). Give k(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.0042868 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2836121333.\nAnswer: 2836121333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1279.9 + -1219. Let n = l + -61. Which is the third smallest value?  (a) -3  (b) n  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**6\/s)\/(s\/(s**(-1\/13)\/s)))\/((s\/(s\/(s**1\/s)))\/(s\/(s*s\/(s*s\/s**(-8))))) assuming s is positive.\nAnswer: s**(155\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1142 + 19420\/17. What is the smallest value in -0.5, n, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + 81?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 PM and 11:14 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide (-2)\/((-16)\/108) - (-6)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3801*s - 1102*s - 87501 = 171603 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h**2\/h)\/h)**31\/(h**(-21)\/(h\/(h**(10\/9)*h))) assuming h is positive.\nAnswer: h**(737\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x + 6. Let w = 254 + -255. Let d(p) = -2*p. Let f(s) = w*d(s) + l(s). Suppose 0 = -3*g + 3 - 15. Calculate f(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11120000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*g - g + 5*g)*(-10931 + 44602 + 34322 + 18351 - 15157) to t*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -17840 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 11) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1*sqrt(1539) + -2.\nAnswer: 1 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000006621 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 12386, 5, 3 in decreasing order.\nAnswer: 12386, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -507449.9 to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3. Let b(w) = 50*w**3 + w**2 - w + 1. Let h(d) = b(d) - 6*z(d). Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*3\/(-108))\/(33\/(15180\/(-23)))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2580539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/1 - 0) + -1. Let o(m) = -4*m. Let g be o(-1). Which is the second smallest value?  (a) g  (b) t  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 26\/213845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + -2 - (-3 - 17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 + 0*b**2 + 3*b**2)*(-2*b + 2 - 2)*(-395*b**2 + 195*b**2 + 196*b**2).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24\/(-18)*243\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of t**6\/120 + 107*t**5\/60 - 55*t**4\/3 + 74*t**3 + 2149*t**2 + t. Determine j so that a(j) = 0.\nAnswer: -111, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 259822161*y**4 - 596499714*y**3 + 419216401*y**2 - 88222304*y + 5683456.\nAnswer: (y - 1)**2*(16119*y - 2384)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 - 18. Let f be (-6)\/8 - (0 + -1). Which is the closest to w?  (a) f  (b) 2\/7  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002248 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 123663910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 83 - 23 = 0. Suppose -3*f + z = 2. Suppose f = -q + 174. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11\/527, 1, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, 11\/527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 3 = 8. Put -40, r, -4 in decreasing order.\nAnswer: r, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (4\/121)\/(56\/140) and -47\/55.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**2\/x*x*x**2*x*x*x assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 + 15*o**2 + o + 28. Give i(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 5 = -5*l, -17*z = -4*l - 18*z - 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (48\/20)\/(-6)*-5 - -42. Let t = -29 + p. Solve 4*x - x - t = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 370*s**2 + 4*s - 5. Suppose 5*m = 2*i + 4 + 9, -5*m = -5*i - 25. What are the prime factors of f(m)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 16 = -7*d + 3*d, -4*p + 4*d + 20 = 0. Suppose -2*b - 18 = p*b. Sort 3, 4, b in decreasing order.\nAnswer: 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*x - 3*j - 71, -110 = -5*x - 5*j. Let q = x - 14. Suppose 2*t - 36 = 32. What is the remainder when t is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of -2*j**2 - 1\/6*j**3 + 0*j + 1\/30*j**5 + 0 - 1\/12*j**4. Give u(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/5 - (-7 - -5). What is the third derivative of 2*y**3 - 87*y**2 + 22*y**2 - 89*y**n + y**2 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*k + 239 + 321. Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9\/128, 5, 0.4 in descending order.\nAnswer: 5, 0.4, -9\/128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**4 - 18*w**3 - 24*w**2 + 40*w.\nAnswer: 2*w*(w - 10)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/40 - (-17)\/4. Suppose -p*t + 4*k = -184, -3*t + 4*t - 43 = 4*k. Calculate the remainder when t is divided by 16\/(-6)*(-6 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 1 - 5 = 0. Let i(z) = -z**3 - 3*z**2 + 2*z - 4. Let j be i(m). Solve 0 = 5*k - j - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 17*o**2 + 16*o + 6. Let m be c(16). Let h be -4 + (24*1 - -1). What is the greatest common factor of m and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 474\/553*(-6)\/((-96)\/(-56)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.19912 * -0.2.\nAnswer: 0.039824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 256637 or 256707?\nAnswer: 256707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 35736 and 40649700?\nAnswer: 81299400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 3*h**2 - 11*h + 64. Let v be s(4). Solve -v*o + 16*q - 14 = 19*q, 3*o + 13 = -q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/2*(-4 + -6). Let h(x) = -x**2 - 4*x + 1. Let a be h(w). Let b(n) be the third derivative of -n**5\/60 - n**4\/4 - n**3\/6 + 2*n**2. Calculate b(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/(-32) - (3\/2 - (-20)\/(-80))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -127, -134, -147, -166, -191, -222?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uungdgvdggngdgdu. What is prob of sequence gv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.19 - 0.19. Let u = -23.3 - -22.6. Is t at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -229*w + 720 + 296 = 25*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1119\/5 - -650149\/2905. Is k > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 10:36 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 44*w. Let j be y(4). Suppose -16012 + 16133 = 11*b. What is the highest common divisor of b and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**5 + 39*l**4 - 53*l**3 - 21*l**2 + 55*l - 18 = 0.\nAnswer: -1, 1\/2, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t + 6. Suppose -h + 28 = 3*h + d, -4*h + 3*d + 12 = 0. Let i be j(h). Let u = -14 - i. Which is greater: -9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1 - 7 + y + 3*y wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 94 = -s - t, 3*t + 9 = 0. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from awwawwwwww. Give prob of picking 2 a and 1 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 35 = -5*s + 4, s = 5*l - 20. Suppose 3*u = n - 3, -4*n + 4*u + 12 = -u. Solve -l*o - f + 12 = 0, o + n = 6*o - 4*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 4.9  (b) 3\/22  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -23, 10, 67, 154, 277?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9498*y**3 + 9540*y**3 - 19264*y**3.\nAnswer: -226*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.3+-1155\nAnswer: -1154.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 19bd82d0 + -1?\nAnswer: 19bd82ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11 + -66038?\nAnswer: -66049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 - -26. Solve 5*i = -5*x + d, -12 = -4*x + 5*i + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w\/((w\/((((w\/w**(-2)*w)\/w)\/w)\/w))\/w)*w)*w*(w*w**31*w*w)\/w*w assuming w is positive.\nAnswer: w**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1495 and 599219?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-66833)\/(-1067) - 2\/(-66)) + (-10)\/6?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1475, -3036, -4597?\n\"Answer: -1561*u + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9\/5 - 11\/5. What is the closest to t in -1, 10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 429\/220 + 9\/(-12). Which is the fourth biggest value?  (a) 0.3  (b) s  (c) -0.36  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -4*l**2 - 8*l - 3. Let b(i) = 9*i**2 + 17*i + 6. Let f(g) = -3*b(g) - 7*o(g). Determine f(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 AM and 5:41 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -7*f + 7. Let m(x) = -4*x + 4. Let q(g) = 3*d(g) - 5*m(g). Let l be q(-1). Let j be 20\/l*264\/30. What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - 5*z**2 - 2. Suppose -32*u = -50 - 14. Let p(k) = -1 - 1 - 29257*k**2 + 29253*k**u - k**3. Calculate 4*o(r) - 5*p(r).\nAnswer: r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {h: 6, i: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 46 = -n - m - 16, -6*m + 36 = -5*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9113607 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (344\/(-18)*(11745\/(-90))\/87)\/((-2)\/(-3))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 14 = -4*m, 3*v + 9 - 3 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m**(-3\/5)\/m)\/m)\/m**1*m*m**(-3)*m\/(m\/(m**0*m)*m)*m\/(m\/(m\/m**7))*m*m**(-5\/3)*(m**(-1))**9 assuming m is positive.\nAnswer: m**(-304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - 2b?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 - t**2 + 4*t + 3. Let g be k(-3). Suppose 0 = -i - 0*i. Suppose -d + i = -g. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -3. Let i be -2*(-3)\/(-15) - 0. Let s = -345.72 - -346.12. What is the closest to s in -4, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1122 - -1598. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -42081\/1480 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 6050*r**5\/13 - 20108*r**4\/13 + 18086*r**3\/13 - 4244*r**2\/13 + 200*r\/13 + 16\/13 = 0.\nAnswer: -1\/25, 2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 280 + -37?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 62 + -62 + 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (0 + 1\/(-1)). Suppose 0 = -0*f + f + k. Let x be 14\/18 - (-3 + 4). What is the closest to -2 in x, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of -l**3\/6 + 2*l**2 - 3*l. Let m be v(0). Solve 4*u - 35 = -3*w, u - 10 = m*u - 5*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 232250 (base 11) to base 5\nAnswer: 43301414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 - 7*r + 10. Let a be w(-7). Let d be ((-2)\/(-2))\/(2\/a). Let n be (5\/(-3))\/(3\/(-9)). Solve 2*k + t + n = k, k = t + d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, k: 16, z: 3}. Give prob of sequence zp.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -3) + 0 - (0 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 34, 45, 54, 61, 66?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 5*u**2 - 3*u + 0*u**2 - 6*u**2 + 2*u**2 - 4. Let s be y(4). Suppose 2*z - 5*w = 64, s*z - z - 3*w + 10 = 0. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-436)\/(-10)*(-52)\/(-104) + 14*(-40)\/700\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -4, -2, -19 in increasing order.\nAnswer: -19, -17, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 8) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 - o**2 - o. Let f be p(2). What is the third derivative of 2 - x**2 - f - 9*x**2 - 8*x**5 wrt x?\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -1 + -3 + -2)**2*2 - (-1 + sqrt(66)\/(-1*sqrt(6)) + 1)**2.\nAnswer: -24*sqrt(11) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x. Let r(h) = -18*h. Let f(j) = -r(j) + 24*s(j). Let k(l) = 70*l - 120*l + 110*l. Let p(u) = -3*u. Let d(a) = -3*k(a) - 63*p(a). Give d(f(c)).\nAnswer: -54*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 (base 13) in base 15?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -22\/9*h**3 - 346\/3*h**2 + 6808\/9*h + 424\/3 = 0.\nAnswer: -53, -2\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fourty-three quarters of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10564202 by 761.\nAnswer: 13882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-364)\/(-72) - 1*-1)*-3 and -47\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 448 in -3, -2, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b1c8 + 310b?\nAnswer: e2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98979 = 1213*i + 5578 for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 113 and 10?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6261 + 10234. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -240, 21, -19 in decreasing order.\nAnswer: 21, 15, -19, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**4\/13 + 214*j**3\/13 + 594*j**2 + 114210*j\/13 + 45900 = 0?\nAnswer: -51, -26, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 1537.\nAnswer: 4\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/18 and 58\/343185.\nAnswer: 2059110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2579, 2510, 2441, 2372, 2303?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24 + 29. Solve -3*z + y = -4*b, 0*z = 5*b + z + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/9, 309, 3, -4, 4, 2\/11?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4964 + -3?\nAnswer: -4967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 7*f + 3*f + 9 + 3*f**2 - 2*f**2 - f. Let y be t(-9). What is the lowest common multiple of 3 and y - ((-2)\/(-1) + 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.1 and -1.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 169?  (a) -160  (b) -49  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b*b**(-3)*b*b*b*b)\/((b*b\/b**1)\/b))\/(b**(-4\/5)\/b*b**(-1)*b)*(b**(-1\/3)\/(b\/b**(-3\/7)))**32 assuming b is positive.\nAnswer: b**(-5311\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1481191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9.209 + 9.20907161. What is w rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r + 0 + 0 + 5*r + 0*r - 4*r + (-r - 4*r + 3*r)*(0 + 2 - 3) + 3*r + 0*r - 4*r + (-r + 6*r - 3*r)*(-1 + 3 + 0) + 0*r + 3*r + r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -71 - -142. Let m = 37 + l. Is m a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 + 0 + 1)*-5. Suppose 0 = -5*k - 10 + z. Suppose 102 = 4*u + k*t, 0*t + 31 = u + 4*t. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-50)\/145)\/(0 + -1 - 0). Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - o**2 - 1. Let m be s(-1). Let g be 4 - -483 - (m - -1). Let q = g - 157. What is q rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4\/5, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*(s**(8\/5)*s)\/s*s)\/s)\/s)\/(s**(2\/7)\/s*s)*s\/s**(-36)*s*s**(-40)*s assuming s is positive.\nAnswer: s**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/9)\/r)\/r*r**(3\/19)*r*r*r)**(11\/6) assuming r is positive.\nAnswer: r**(2387\/1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11788 + -0.04396.\nAnswer: 11787.95604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1553927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 5*q + 502, 13*c = 11*c + q + 526. Calculate the highest common factor of c and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*2*sqrt(1440)*-6)\/((-2*sqrt(2304))\/(-2*sqrt(8)\/sqrt(4))).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31438 divided by 11.\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 8*z + 7. Let i be j(4). What is the greatest common factor of 184 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 85, 79, 71, 61, 49?\n\"Answer: -p**2 - 3*p + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -q**4\/2 - q**3 - 3*q**2 + 6354*q. Let b(w) = 5*w**2 + 5*w + 7. Give 4*b(r) + 3*s(r).\nAnswer: 2*r**2 + 2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (-175 - 1 - 0). Let m = 3682 - 3588. Let d = j - m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33373901 - -0.2.\nAnswer: 33373901.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-128)\/48*(-24)\/1. Suppose -21*a - v = -16*a - 56, 4*a - 4*v = w. Solve 5*j - a = 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96774186011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.011, 1\/3, -14\/3, 0.5?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 0*z - 12 = -4*d, 3*z - 4*d = 37. Let t(n) = 21*n**2 + z - 24 + 15 + 2. Let g(k) = -k**2. Determine t(g(s)).\nAnswer: 21*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 38 - 44. Let j(v) be the second derivative of 5*v**3\/6 - 3*v**2\/2 + 3*v. What is the units digit of j(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-1 - 8) + 1 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -59, 4 in descending order.\nAnswer: 4, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g - 2. Let f be x(-5). Suppose 0 = 5*a - 2*w - 675, 5*a - f*w - 358 - 317 = 0. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x + 7*x - 7*x)*(-2 + 2 + 3*x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 - 7)*(-12 - 1 - 7)*(j + 0*j + j) to o + c*j and give c.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*u**4\/5 + 21*u**3\/5 - 48*u**2\/5 + 36*u\/5 = 0. Calculate u.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*z - 11*z - 3342. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 8) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000006233 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*1)\/(71\/((-8875)\/50))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47618616, -95237232, -142855848, -190474464, -238093080?\nAnswer: -285711696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaiia. Give prob of sequence iia.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16.07 + -16. Let b = q + -0.67. Let r = b + -0.4. What is the third biggest value in 3\/4, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6482 (base 15) to base 5.\nAnswer: -1140042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*h - 1085 = -20*h + 5983. Calculate the highest common divisor of 28 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -6*r**2. Let f(h) = -h**2. Let q(p) = 21*f(p) - 4*x(p). Let l(n) = -3*n**2. Determine l(q(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 63 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.8, 0.0016, 11535?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 273 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 54*u**2 - 74*u + 834. What is p(-53)?\nAnswer: 1947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -686 + 124*o**2 + 686 - 28*o**2.\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77630 is divided by 15186?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, b: 5}. What is prob of picking 3 s and 1 b?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**2\/5 + 24809*a\/5 = 0. What is a?\nAnswer: 0, 24809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2 or -1.045424?\nAnswer: -1.045424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of 5*m**3\/6 - 3*m - 3. Let g(c) be the first derivative of z(c). Let s(t) = t. Calculate g(s(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 11) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -4*o**2 + 23298632*o - 33926640816964 = 0?\nAnswer: 2912329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g\/(g*g*g**(1\/3)))\/g)\/g)\/(g*g**(1\/3))*g**(-1\/3)\/(g\/((g\/(g\/(g*g*g**(-4)))*g)\/g)*g))\/(g\/g**(-5)*g*g*g*g**(-1)*g)**20 assuming g is positive.\nAnswer: g**(-188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90 and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c + 108 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3*j = 0. Let y(x) = -2*x**2 - 2 + 4*x + 2*x + 3*x**2 - 2*x**2. Let w be y(5). Solve 3*u = u + 3*m + 4, j = w*m + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 72 = -m + 5*t, 0 = m - 3*t - 28. What is the remainder when m is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(2\/(-4))\/(-1). Suppose w = -22*h + 20*h + 20. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2913 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 28059053 - -1?\nAnswer: 28059054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - 4*j + 4*j)*(22*j + 15*j - 11*j)*(-2 + 2 + 2).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 135276509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**2 + k**2 - 3*k**2 + (1 + 0*k - 7*k + 8*k)*(-3*k + 5*k + 6*k) - 2*k**2 + 0*k**2 - 2*k**2 + (-3*k - 2*k + 4*k)*(-3*k + k + 3*k).\nAnswer: 2*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1393796 is divided by 696804?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1510 is divided by 1477.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -464 + 71. Round d to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 2 = f. Suppose f*c = -0*c - 280. Let n = -26 - c. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 5, x: 2, g: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 70*q + 2*q - 1512. Solve -11*x + q*x + 50 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1228*g**3 - g**2 - 592*g - 4072615 wrt g.\nAnswer: -3684*g**2 - 2*g - 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-84) - (-1)\/4*26\/13\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2303 - -2181) + 106 + -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of 0*k**4 + 88*k**2 - 9\/280*k**7 + 0 - 1\/120*k**5 + 0*k**3 + 29\/480*k**6 - k. Factor d(l).\nAnswer: -l**2*(l - 1)*(27*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 39, 77, 115?\n\"Answer: 38*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + o + 14. Suppose 4*d - o = 5. Suppose p + 3 = z - 0*p, 0 = -3*z - 4*p - 12. Put z, -1, d in increasing order.\nAnswer: -1, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0017264 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(320)\/((sqrt(10) + sqrt(50)\/sqrt(5) - sqrt(10)) + sqrt(10)) + sqrt(32) + -1.\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 158900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - 10*s**2 + 8*s + 12. Let k be d(9). Is -4 - (-56 + (0 - k)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjtjjtjtttttjtjtjt. Give prob of sequence tt.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28005032*b**2 - 14002339*b**2 - 14002691*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1122232 (base 4) to base 9.\nAnswer: 7861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.062 + 0.038. Let y = r + -1.1. What is the closest to -1 in 3, y, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 1 + 64*k + 1 + 82*k + 2. What is the remainder when v(1) is divided by 42 + (-8 + 4 - 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-7) + 130\/7. Let t = g - 14. Solve -t*k - 6 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10 - 9 - (-2 + 0). Let q(k) = 118*k**2 - 2*k - 1. Let u be q(-1). Suppose -o*a = -40 - u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5893  (b) -2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 64.37 and 0.03682?\nAnswer: 2.3701034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m - 1. Let u be y(-5). Let z(p) = p**2 + 6*p + 1. What is the least common multiple of z(u) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3070 and 62014.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d + 8*d + 0*d**2 - d**2 - 7*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j + 114. List the prime factors of p(0).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 41020 and 208180.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -41*n**3 + 2*n + 11. Let a(d) = 21*d**3 + 20*d**2 - d - 6 - 44*d**2 + 24*d**2. Let v(j) = -11*a(j) - 6*x(j). Calculate v(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2010295 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40 - -44. Solve 3*r + 0 = 4*a + 2, 0 = x*r - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17609802257466 minus -3?\nAnswer: -17609802257463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -20, -z + 0*z - 4*v = -24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -7 - 19*g**2 + 27 + 14*g - 73*g**2 + 90*g**2. Give y(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide ((-1512)\/(-81))\/((-20)\/(-2130))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293 + 7*r + 7*r + 95 - 6*r + 95 + 100.\nAnswer: 8*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34.35 + 34.25. Which is the nearest to j?  (a) 2  (b) 5  (c) 14  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 174 in -1, -3, -19\/2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 270038, 540329, 810622, 1080917, 1351214, 1621513?\nAnswer: 1891814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from {w: 5, b: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from nnrranffnnaneznzfnff.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 + 2*m - 15. Suppose 11*n = n - 70. Let v be p(n). Solve -29 = -4*a + 3*u, a = 2*a - 5*u - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 m when four letters picked without replacement from {m: 5, u: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - 8*n - 13. Let l be a(10). Let v = -7 + l. What is the nearest to v in 2, 0.3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -283 - -287. Suppose -a*v + 27 = m - 26, -197 = -4*m - v. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12074, -12320, -12566?\nAnswer: -12812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gudd when four letters picked without replacement from gdgugmgguud?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 9:11 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -2. Suppose 5*z - z = -8, k*z - 59 = -5*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = 32*d - 41 - 75, 3*d - 21 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 1888, -13\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 6:54 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -o**4\/4 - 4*o + 4. Let a be r(0). What are the prime factors of 178\/8 + a\/16?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -14, -0.1, 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -3\/4  (b) 1  (c) -4  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f. Let q(h) = -h - 4755. Give o(q(m)).\nAnswer: 2*m + 9510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5969, -23913, -53823, -95699, -149541?\n\"Answer: -5983*s**2 + 5*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3a (base 13) to base 4\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c\/c**(-5\/4)*c)*c\/(c**(3\/2)\/c)*c)**(4\/5))**(-27) assuming c is positive.\nAnswer: c**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07004 take away 0.051?\nAnswer: -0.12104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/926046 and -137\/1572.\nAnswer: 242624052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 222*h**4*s**3 + 1638*h**4 + 423579*h*s**3 + 2*s**3 wrt h.\nAnswer: 2664*h**2*s**3 + 19656*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 + 17)*(1 - p - 1) + 8 - 4*p - 8 + (-2*p + 3*p - 3*p)*(1 - 1 - 2).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2\/141 - 43\/282. Let w = 6 - 11. Let n = -2 - -5. What is the nearest to -2 in v, w, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**4 + 7*w**3 - 14*w**2 + 8*w = 0. Calculate w.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 84*b + 185*b = 94*b - 131, 0 = -4*v + 3*b + 48 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33999041?\nAnswer: 37, 83, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -496*k - 31*k + 156*k + 136*k. Let i(z) = 10*z. Give h(i(o)).\nAnswer: -2350*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38, -99, -186, -299?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 599, 1782, 3753, 6512, 10059, 14394, 19517?\n\"Answer: 394*q**2 + q + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -57, -8, -1, 15, -6, 2.\nAnswer: -57, -8, -6, -1, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 1 - 0. Let k(l) = 6*l + 2. Let a(v) = v. Let t(q) = g*k(q) - 2*a(q). Let x be t(3). Calculate the greatest common divisor of 98 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {r: 4, d: 2, s: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4557.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1642*r**5 + 723*r wrt r?\nAnswer: -32840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -4 + (-12 - -8) + 14 + -20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3650 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z**3 + 26*z**2 - 18*z**2 - 9*z**2 - 2795952*z.\nAnswer: z**3 - z**2 - 2795952*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) + sqrt(75)*-3)\/sqrt(3))\/(sqrt(5) - (sqrt(20) + (3*sqrt(20) - sqrt(20)) - sqrt(20))).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 39\/52 - 921\/700. Let f = 7\/25 + t. Which is the closest to -0.1?  (a) 0.7  (b) 5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/5*z**2 + 0 - 7\/5*z = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/112*-2 + (-508)\/(-28)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + t - 18 = 0. Let b(y) = y**3 + 6*y**2 - y + 5. Let j be b(t). Let c be (-22)\/(-8)*-2*-2. Calculate the highest common divisor of c and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-546)\/(-133) - 8\/76. What is the thousands digit of 287320\/160 - 3\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 4:54 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.5 - -1.68. What is o rounded to 1 dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 882 = 3*x, -5*l - 1464 = -0*l + 2*x. Let j = l + 861. Let r = -406 + j. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -71*t + 146*t - 71*t. Let s(n) = -n. Let y(p) = 18*p. Let r(o) = 36*s(o) + y(o). Give r(q(a)).\nAnswer: -72*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 10*(1360\/50)\/17\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ccccmmcrmcrrmr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 - 5*t**2 - 2*t - 5. Let u be g(-5). Suppose 4*v - 4*n = 6 - 26, -2*n + 37 = -5*v. Let y = v + 9. Sort u, y, -1, -3 in descending order.\nAnswer: u, y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 = -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 4, -6806 in decreasing order.\nAnswer: 4, 0.2, -6806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 198164852 * -5.\nAnswer: -990824260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 211 divide 334446183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/3 + 59*j\/2 - 89\/6.\nAnswer: (j + 89)*(2*j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 857240?\nAnswer: 2, 5, 29, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from rkuuqq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2 = -0*q - 2*q, 4*q - c - 13 = 0. Suppose 5*h + q*s - 41 = 0, -3*s - 8 + 20 = 0. Solve -2*a - 7 = g, -2*g - g - h*a - 18 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 9*b + 812. Calculate u(-83).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*h - 24 - 19 + 47.\nAnswer: 29*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*d**3 - 2*d**4 - 16*d**3 - 2*d**2 + 29*d**3 + 5 to the form q*d**4 + u + b*d**2 + w*d**3 + f*d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 148 - 153. Which is the third biggest value?  (a) 0.1  (b) m  (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1656 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 12847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of -d**5\/10 + d**4\/12 + d**3\/6 + 3*d. Factor t(q).\nAnswer: -q*(q - 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 3*c - 20, 2*m - 4*c + 32 = 4*m. Calculate the greatest common divisor of 152 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q + 10, 2*y + 4*q + 3 + 17 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67610176*d**2*r + 7*d*r + 2*d + 769500 wrt d.\nAnswer: -135220352*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 - -0.8. Are -1 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.02 + -1.98. Let p = -1.9 - g. Let z = 3479\/8 + -3477\/8. Which is the closest to -0.1?  (a) 0.2  (b) z  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i - 3*c + 15, 3 = i - c - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 1 + 1)*(1 - 2 + 2) - 11 + 13 + 10)*(-2*n**3 - n**3 + 2*n**3) - 20*n**3 - 75 + 75.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 60133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*j + 19*j - 4041 = 5*i, 2*j - 8038 = -i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from xoxwqep?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -733*y + 1215*y - 412*y + 1569*y + 951*y to u*y + t and give u.\nAnswer: 2590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*i + 30*i = -20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 0) + -5 + 6. Suppose 0 = 3*w + 1 + 5. Let i be ((-2)\/(-7))\/(w\/(-3)). What is the third smallest value in 1\/2, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6759.\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*r + 505*r + 220*r.\nAnswer: 785*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242882 is divided by 481?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 59.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92456.92 micrograms to milligrams.\nAnswer: 92.45692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h - 2. Let v = -160 + 149. Calculate n(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88475 is divided by 1180?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -39*m**2 - 27. Let l(x) = 17*x**2 - x + 12. Let k(q) = 2*h(q) + 5*l(q). Let n(v) = -v**2 + v - 1. Calculate -k(t) - 5*n(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 72 + -11. Suppose 4 + t = 5*p. Calculate the remainder when p is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6603 - -6605. Let s be (-3)\/(-3) - (-3)\/3. What is the closest to s in 3, -0.05, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*t**4 + 2*t**3 - 76*t?\nAnswer: -168*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (0\/1)\/((-25)\/5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 - 5 = -o - 3*g, -3*g + 243 = 4*o. Let l = -20 + 40. Calculate the remainder when o is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 7*b - 2. Let i be h(-6). Let a = i + 5. Let d = -4129 - -4124. Sort 1, d, a, -1 in descending order.\nAnswer: 1, -1, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 10:59 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 67435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 6*g + 0*g)*(3728 + 3421*g - 3728 - 25012*g).\nAnswer: 43182*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -0.058797?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8 + 1 - (-7 - -12). Let f(g) be the third derivative of 1\/240*g**5 + 0*g - 6*g**2 + 0*g**q + 0*g**3 + 0 - 1\/480*g**6. Solve f(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18878 - -19146. Solve -a = 12*n - 256 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 36 + 24. Solve b - t*b = 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*i**4 + 0*i**4 - 5*i**4 - 2*i**4 + 7*i**4 - 3*i**4 + (2*i - 2*i - i**3)*(-i - 5*i + 5*i) + 2*i**4 + 0*i**4 - i**4 - 142*i**2 + 142*i**2 - 92*i**4.\nAnswer: -89*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-79)\/6399*-144)\/16.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 996 != -0.223967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2405 and 5920.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13517 + 5435 = 608*c - 4324 + 15090 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/9)*k)\/k*k)\/k**(-7\/4)*k**(2\/3)*(k**5*k)\/k assuming k is positive.\nAnswer: k**(295\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -40*h**3 - 16*h**2 + 16*h**2 + (-4*h**2 + 4*h**2 - 2*h**2)*(h - 4*h + 4*h).\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.7 in -3\/5, 1\/5, 7, 56?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4375391 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Is 186551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - -1) + 54\/3. Suppose -20 = -4*j + q. Solve -j*d**2 + 2*d - 4*d + 6*d = 0 for d.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.6  (b) 13\/166  (c) 4\/5  (d) 1\/4  (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -12*q + 80. Let z be o(6). Let s(i) = 2*i**2 + 11*i + 3. Let d(r) = -3*r**2 - 21*r - 5. Let g(f) = 3*d(f) + 5*s(f). Determine g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*v**2\/7 - 370*v\/7 - 732\/7 = 0. Calculate v.\nAnswer: -183, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -55 and -49.1?\nAnswer: 2700.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -0*m + m - 6, -g = 3*m - 4. Suppose -m - 22 = -6*a. What is the first derivative of -11 + 8 + 3*q**4 - 27*q**a wrt q?\nAnswer: -96*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-8) - 22\/8. Let g = n + 5. Differentiate -4*y + 4*y + g + y**2 with respect to y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.25 + 0.25. Sort 0.1, 1, o in increasing order.\nAnswer: o, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 244*m + 8054. Let c be n(-33). Solve -233 = c*x - 237 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156)\/(1*sqrt(3)))\/sqrt(4))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 20, 5*u + 25 = -c + 5*c. Suppose -2*f = p - 3 + 1, 2*p + 2*f - 14 = c. What is the lowest common multiple of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 6:42 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -24754*l - 99031. What is c(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/10*(-18 + (-7511)\/(-407))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.141405 and 0.2.\nAnswer: 0.058595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of -5*o**2 - 22*o - 45. Let k(m) = m**3 - 4*m**2 - 2*m + 4. What is the remainder when k(5) is divided by z(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 10 = -2*f, 35 = 5*y + 4*f. Let o(d) = 3*d**2 - 3*d - 1. Is 15 a factor of o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1588176)\/288)\/269)\/(((-4)\/(-4))\/((-6)\/3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from lxrgrrgglaallr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2*l = 0. Suppose -w + 20 = 4*w. Let c = -242 + 247. Solve l = k + w*k - c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 115 = 2*b. Let d be (-44)\/(-10) + 3\/(15\/(-2)). Solve d*v - 3 + b = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) -37  (b) 0.5  (c) -2\/175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 215*g**2 - 35*g + 7501. Calculate a(215).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4622655750 rounded to the nearest 100000?\nAnswer: -4622700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 116532*f**5*g + 21*f**3*g**3 + 41*f**2*g**3 - 393*f**2*g**2 + 48*f**2 wrt f?\nAnswer: 6991920*f**2*g + 126*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1517.678 or 0?\nAnswer: -1517.678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 2:29 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from inee. Give prob of picking 1 i and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3872 and 1476992?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 8. Suppose g - 2*f + 8 = 0, -2*g + 5*f - 27 = -n. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 3*k + 3. Let z be d(2). Suppose -5*i + 9 = -4*t, 3*i - 4 = -3*t + 23. Find the third derivative of -3*o**z + 2*o**5 + 2*o**i - 3*o**2 wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3500.994987 + 912.\nAnswer: 4412.994987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of 5*a**3\/3 + 11*a**2\/2 + 22. Let m(d) = 3*d**2 + 6*d. Determine 4*c(q) - 7*m(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 70 + -79. Let m(h) = -738 - 4*h + 13*h + 365 + 367 + h**2. Determine m(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 9070*f + 80. Let o be g(6). Round o to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3656 - 1612 = 306*o + 105 - 1089 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-37)\/(-148))\/(1\/(-8) - -1). Let m be (0 - 2\/(-7))*-2. Which is the biggest value?  (a) 5  (b) -10  (c) m  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of -w**6\/48 + w**5\/10 - 5*w**4\/32 + w**3\/12 + 3. Suppose s(b) = 0. What is b?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111 (base 2) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 5*y - 6. Suppose y*n + 140 = -0*n. Suppose 5*f + 142 = -38. Is n at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.13, -131\/2, 0.19, 4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003568133 rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3337737*d**2 + 13*d + 8183071 wrt d.\nAnswer: 6675474*d + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 177 + -173. Suppose b + 14 = 5*r + 4, -8 = -4*r - 3*b. Suppose 0 = r*s - i*s + 46. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.8 + -8.8. Put -2, q, -5, -2\/3 in decreasing order.\nAnswer: -2\/3, -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 41 + 1*2. Let s = -30 + f. Calculate the remainder when 184\/12*(-8)\/((-48)\/9) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*x - 129*x - 13*x + 46*x - 13*x - 25*x.\nAnswer: -99*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.034 or 4799?\nAnswer: 4799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -190, -384, -582, -784, -990?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(4\/5)*x)**(24\/7)\/((x**(2\/5)*x)\/(x\/((x*(x*x\/(x**(2\/7)*x))\/x*x*x)\/x))) assuming x is positive.\nAnswer: x**(382\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/3 or 44586?\nAnswer: 44586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from azzfzaaz. What is prob of picking 3 z and 1 a?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -45 and -46 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3\/4 + 2424*i**2 - 2278527*i + 493749564.\nAnswer: -3*(i - 1462)**2*(i - 308)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9 and 284269.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 3*x. Suppose x*y + 4 = 2*y. Solve y*i + 2*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.048407598 to five dps.\nAnswer: 0.04841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 6*a**2 + a - 2. Let l be d(-2). Suppose -l = -5*p + 5*m, -3*p - 2 = p + 5*m. Solve -o = 4*k - 5, p*k = -2*o - 0 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -3*x - 200 + 75, -5*x - 160 = 3*j. Let a be x\/(-2) + 2\/4. Is 1 + 0 + (a - -1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 1.5581408048022.\nAnswer: -2.5581408048022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 66595619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s + 14. Let x(p) = -1. Let z(a) = q(a) + 3*x(a). Suppose 3*b + 34 - 7 = 0. Let o be z(b). Solve -4*h - 4*f = -24, -3*h = -f - o*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 220202 (base 3) in base 16?\nAnswer: 29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 - 5*o + 8. Let j(g) = -g**2 - 2*g + 6. Let b(r) = r**2. Let l be b(0). Let d be j(l). Is 14 a factor of t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*4.537\nAnswer: 2.2685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-2) + 32\/4. Let a(z) = -1 + 0*z + i - 3*z + z**2. Suppose r - 4 = -0*r. Give a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*j + 72*j = -88275. What is the smallest common multiple of 8 and j?\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g**3 + 3*g**2 - 3*g + 4. Let q(k) = -10*k + 83. Let m be q(18). Let z = m + 102. Suppose 5*j + 11 = p - 5, 2*j = -z*p - 1. Determine b(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 4  (b) -0.74  (c) 0  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 82*9\/7 + 27\/(-63). Suppose 101*l + 252 = a*l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 2*f. Suppose -4*j - 8 = 0, f*j + j - 7 = -u. Suppose -2*c = -11 - 7. What is the lowest common multiple of c and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 65181478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/11?  (a) 2\/9  (b) 3  (c) 0.1  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -3*p**2 - 58*p - 114. Let k be v(-17). Solve -k*b = 5*h - 5, -4*h - 1 = 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 73*r**2*z**3 + r**2 + 2*r*z**3 - 5*r*z**2 - 1254*z**5 - 1859*z + 53 wrt z?\nAnswer: 438*r**2 + 12*r - 75240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002456606 rounded to five decimal places?\nAnswer: -0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 2*w**2 + w + 1. Let h be a(-3). Suppose 3*c = -4*x + 5*x - 7, 3*x - 3*c = -9. Let n = h - x. What is the remainder when 28 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 7*v - 29. Determine b(-29).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 258 - 510*o - 3*o**2 - 506*o + 1016*o.\nAnswer: -3*o**2 + 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 271967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/2805 and -32\/406725?\nAnswer: 406725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2400000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 + 5*s - 1. Let f = 26 - 12. Let o be (-8)\/(-28) - 4\/f. Let b be (-2 - 0) + o + -1. Calculate t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -106677, -106731, -106791, -106857, -106929?\n\"Answer: -3*w**2 - 45*w - 106629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -110001 (base 2) to base 16\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2304 and 33984?\nAnswer: 135936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -48 + 48. Suppose 8*l + 16 = -i*l. Let h(r) = r**2 + 2*r - 2. Give h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -0.13, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*q**4 + 2*q + 29?\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*x**4 + 327987*x**3 - 644409*x**2 + 305205*x + 11304 = 0.\nAnswer: -1\/29, 1, 3768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.6324993377 - 0.6325. Round t to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/(sqrt(48)*-1 + sqrt(12)))**2 - 5*sqrt(704)\/sqrt(4).\nAnswer: -20*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*g = -5*x + 13, -g - 9210*x + 5 = -9213*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26896 - -26894. What is the closest to 5 in 38, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, 300, -496, 4, -2 in decreasing order.\nAnswer: 300, 4, 1, -2, -3, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -1\/2*l + 1\/4*l**2 + 1\/4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 26\/130*10*1. Suppose s*k - 13 = -5*q + 5*k, 4 = -4*k. Which is the biggest value?  (a) q  (b) 1\/6  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 15 - 2*l - l**2 + 14 + 0*l**2 - 2. Let j be g(-6). Suppose 5*b - 10 = 2*z, 0*b + 15 = -j*z + 4*b. Sort -23, 5, z in descending order.\nAnswer: 5, z, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -4\/11  (c) 2\/3  (d) 3  (e) 0  (f) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -1008*y + 7436. Calculate n(10).\nAnswer: -2644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0015523748 rounded to 6 decimal places?\nAnswer: -0.001552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 496 + -446. What is the least common multiple of 75 and f?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 4*x - 12 + 10 = 0, -n + x = 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 36, 1\/3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1017160 + 241827 = -43*z. Let d = 22179 + z. What is d rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -da0 - 2?\nAnswer: -da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-140)\/(-35)*-2*3\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 43005 + 5?\nAnswer: 43011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*(16\/(-56) + (-15)\/(-28)). Suppose 3*v - v = c. Let h = 22 - 16. Solve 2*l + h = t + t, -4*t - 2*l = v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -746\/7 or -107?\nAnswer: -746\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/4 and 7\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*f + 21*f + 36 = 2*s - 24*f, -5*f - 25 = -s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 35951 and 35950 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**3 - 8*d + 5. Let c(n) = 3*n**3 - 248 + 0*n + 4*n - 2*n**3 + 246. Let w be -14 + 490\/42 + 2\/6. Give w*a(g) - 5*c(g).\nAnswer: -g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*p + 980 = -0*t, -2*t + 978 = -3*p. What is the units digit of t\/10 + (-4)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1856490 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.7 and 668.9.\nAnswer: 468.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2429, -4877, -7343, -9827, -12329, -14849?\n\"Answer: -9*w**2 - 2421*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 6*d**2 - 6*d + 5. Let j be o(5). Let r(m) = 37*m**2 - 11*m + 240. Let c(f) = 68*f**2 - 20*f + 433. Let i(u) = 6*c(u) - 11*r(u). What is i(j)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 4*v - 42, -3*q + 2*q + 32 = 3*v. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.204*34.\nAnswer: 6.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 6882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + -2.3. Let v = -750 - -227. Let l = 523.5 + v. What is the third biggest value in 1, b, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 9. Let x(a) = -18*a - 1. Let l be x(w). Let p = -111\/2 + l. What is the third smallest value in p, -0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -5*u - 1. Let p(s) = -2709*s - 516. Determine 516*a(h) - p(h).\nAnswer: 129*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -102120232 (base 4) in base 5?\nAnswer: -4402220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 423\/5 - 84. Let l = -0.5 + 3.5. Let n = 4 - l. Which is the smallest value?  (a) -5\/4  (b) y  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*z + 16226 - 4481. Let w = -759 - z. Calculate the greatest common divisor of 888 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of 4*h**3\/3 - h + 10. Let n(t) = -2*t. What is y(n(f))?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 743 is divided by 727.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 346*h + 125280. Calculate j(-362).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 216107058 to the nearest integer?\nAnswer: 14701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5*-3*(-10)\/(-75). Suppose 2*q - 2*x + 3*x = 0, 0 = -z*x. Suppose q = 2*n - 3 - 3. Solve -r = -0*r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 135228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25138, 24944, 24414, 23380, 21674, 19128, 15574?\nAnswer: 10844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 84\/(-16)*(-32)\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6893\/4 + -1723. Let s = 0.3 - 0.3. Which is the nearest to s?  (a) 2  (b) w  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -6*c - 16. Let r(s) = -7*s - 15. Let q(d) = -2*r(d) + 3*t(d). Let f be q(-13). Let n = -3 + f. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.774 - -8.774. What is the second smallest value in c, 4\/3, -0.9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-22)\/(-10)*-1 - -2. Is y != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -76.28 to zero dps.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 4, 0.4, -18050 in ascending order.\nAnswer: -18050, 0.3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1952)\/(-88) - (-6)\/(-33). Suppose -u*k + 17*k + 13525 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 5568.5681\nAnswer: -5568.6681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 4 - 3. Let w be (20\/16)\/(k\/4). Suppose 0 = -w*p + 2 + 8. Solve -2*q = -q - p*u - 6, 5*q + u = 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (-1 + -1 - -69) + 194 + -194.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of 1\/2*t**2 + 3 + 2*t. Let f(o) = -o**2 + 5*o + 4. Let b be f(5). Calculate l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 3484*i + 70652. Give m(-20).\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = 6*j + 298. List the prime factors of (-1019)\/(-3) + j\/(-102).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2786, -515, -2 in increasing order.\nAnswer: -2786, -515, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2008?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of 0 + 0*w**5 + 0*w**2 - 1\/3*w**3 - 2*w - 1\/24*w**4 + 1\/360*w**6. Let p(j) be the second derivative of y(j). Factor p(d).\nAnswer: (d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 1, 3, 7, 13, 21, 31?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y - y + 8*y + 6*y - 11*y - 4*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-3)\/(-54) + 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from haaddchdyadhcyhdayhg. Give prob of sequence dgca.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 263441*i**3 - 4110*i + 4.\nAnswer: 1580646*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + (-8)\/(-12))\/((-1)\/(-24)). Solve 5*r + i = -3*k, 0*k - 5*k - r = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*z - 169 - 40. What is the remainder when 69 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhozozzoo. What is prob of sequence hz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -191 = -5*d + 6*d. Let l = d + -31. Let t = l - -312. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -34*u. Let i be x(1). Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -5*c + 1. Let h be t(5). Suppose 0 = -2*y + 3*y + 4*f + 24, f = -5*y - 25. Is (y\/8)\/(2\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 134 = 5*q, 2*q - 7*q = k - 122. Let p = q + -17. Let d be 7 + -4 + (-2)\/2. Solve -2 = -3*r - h - 5, r + p = d*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 343\/5 + -68. Which is the third smallest value?  (a) z  (b) 4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - -2)*(-15)\/(-2). Calculate the remainder when 34 is divided by ((-18)\/g)\/((-4)\/40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 105 + -6489.\nAnswer: -6384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -931. Let n = d - 3755\/4. Find the common denominator of n and ((-11)\/8)\/(15\/90).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21 and 133.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 26*z - 270. Let c(h) = 9*h - 83. Let g(d) = -4*a(d) + 13*c(d). Let m(q) = -3 + 4*q + 3. Give g(m(n)).\nAnswer: 52*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1550 divided by -2.\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*l - 5*r + 434 = 25, 5*l - 2*r + 26 - 22 = -24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02 and 5358?\nAnswer: 107.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -5574 + 102*y - 127*y + 23*y as v + d*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7774 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 441968 and 23184?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 2:04 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 8*l + 5. Which is the second biggest value?  (a) -3  (b) l  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1578.8 - 5297188315?\nAnswer: -5297186736.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 0*p = -3*q + 21, 3*p - 9 = 0. Suppose 2*a - 6*a = 0, a = -q*v + 22185. Is (v\/9)\/(2\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 - (12 - (-8 - -31))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*d**3 - 48*d**3 + 183 + 4*d**2 - 5*d - d - 8*d**3.\nAnswer: -71*d**3 + 4*d**2 - 6*d + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 66697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4*u = 10 - 2, -u = 2. Suppose 2*r = -2*r + v. Suppose 5*s - r*q + 25 = 0, 0*s + 2*s + 22 = 4*q. Let c(n) = -11*n**2 + 1. Calculate c(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19095.491 times -0.1\nAnswer: 1909.5491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 58343*n + 29222*n + 29215*n as f*n + i and give f.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 a when three letters picked without replacement from llajllajljlalala.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*i**2 - i**2 + 4*i**2 + (-3 + 2 - 2)*(-33*i**2 + 12*i**2 + 0*i**2) + (-i + 0*i + 0*i)*(5*i - 4*i - 3*i) - 2*i**2 + 3*i**2 + i**2.\nAnswer: 65*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/496470 and -161\/2496?\nAnswer: 15887040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -41, 3, 2\/13, 1\/3, 2, 12 in descending order.\nAnswer: 12, 3, 2, 1\/3, 2\/13, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -36427741473+-1.1\nAnswer: -36427741474.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10\/(-20))\/(1\/(-80)). Calculate the common denominator of (-9)\/(-3) + p\/6 and -59\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of 0*q**3 + 0*q - 11 + 1\/24*q**4 - 6*q**2. Let i(y) be the second derivative of r(y). Let n(z) = 2*z**2. Calculate n(i(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 1097 + 1091. Solve 5 = -a, 5*f - b*f = 4*a + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -5834*b**2 - 5*b. Let m be g(-6). Let w be 4\/6 + m\/217566. Let s = 3\/1343 + w. Calculate the common denominator of 53\/33 and s.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - -6766682?\nAnswer: 6766680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = 3*u - 38, 407*u = -5*f + 405*u + 29 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxddxdkdddwxd. What is prob of picking 1 x and 2 d?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-198)\/7425)\/((-1)\/5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (7 + (5 + -6 - -1) + 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -5*q + 5*v, 0 = 3*q - 4*v - 20 - 3. Suppose -2*u + 12 = 0, 21*i = 23*i + 3*u - 32. Solve 9*w - q + i - 1 + w**2 - 15*w = 0 for w.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2162, 8609, 19338, 34349, 53642?\n\"Answer: 2141*f**2 + 24*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1914149 is divided by 1079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of 0 + 0*k**5 - 3\/2*k**3 - 9*k - 6*k**2 + 0*k**4 + 1\/6*k**6. Differentiate b(z) with respect to z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1359036 is divided by 2107.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven eighteenths of a hour?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 32 = -34. Let t(n) = n**2 + 8*n - 24. Suppose -d + 106 = 4*a - 2*d, 0 = 2*a + 5*d - 42. Calculate the remainder when a is divided by t(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*k + 28 = -5*k. Let d be (-22)\/(-3) - (-2)\/3. Let b = k + d. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of -1\/390*j**6 + 24*j**2 + 1\/1365*j**7 - 1\/130*j**5 + 0 + 4\/39*j**3 + 0*j + 1\/39*j**4. Factor u(m).\nAnswer: 2*(m - 2)**2*(m + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 9 = z. Suppose 0 = -j - c - 3, -5*j + 20 = 2*c - 4*c. Suppose 0 = 4*o + j*p - 66, 27 = 5*o - 2*o - z*p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 30d6 - 4?\nAnswer: 30d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*j - 15493 = -88*j + 57027. Calculate the least common multiple of j and 666.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by (-15 - -9 - 0) + 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 349 and 138553.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(322\/(-230)))\/(-55).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 2*k**2 + k - 2. Let n(y) = -5*y**3 + 6*y**2 + 5. Let j be 12*(-36)\/135 - (-8)\/(-10). Let g(s) = j*d(s) - n(s). Calculate g(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 8*s. Let x(j) = 32237*j**2. What is v(x(q))?\nAnswer: 257896*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19583219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01*-109.8.\nAnswer: 1.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 103\/3 + -34. Let y = 19\/305 - -477\/2135. What is the closest to y in w, -5, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 157391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 47070 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - 1 - -4) + 2. Let q be (-10)\/(o - (3 + 2)). Suppose -3*i - 2*b - 3*b = -9, q*i - b - 15 = 0. Solve 7 + 3 = -5*v - 2*u, -i*v - 5 = u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(31\/15 + -2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 375 divided by -1\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*f*n*p + 14464*f*n + 197*f*p - 1125*n*p + 3*n + 219 with respect to p.\nAnswer: -5*f*n + 197*f - 1125*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -17644.320556 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 5, z: 2}. What is prob of sequence yz?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ixxf when four letters picked without replacement from fisssxvvsvsux?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (130\/(-75))\/((3\/3)\/(95\/(703\/(-37))))?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/1280 and -93\/512?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 116975 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -690571.12224419 + 4.\nAnswer: -690567.12224419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.3 - -0.7. Let j(k) = -k - 1. Let f be j(5). Let x = -4 - f. Which is the biggest value?  (a) -2\/7  (b) x  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -49 - 11\/8*c**3 - 9\/2*c**2 - 3\/32*c**4 + 27\/2*c. Let o(i) = 0. Calculate i.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1 + 4)\/(-5))\/((-2)\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*p = 127*p - 2, 8 = a - 5*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 12\/(-15)*129\/(-12) and -87\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -556 at most as big as -116416\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -157858 + -8?\nAnswer: -157863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 15 and 2126?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 - 5.9. Let o = f + 8. Let n(p) = -p**2 - 6*p - 1. Let z be n(-6). Which is the nearest to 2?  (a) z  (b) -3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/5, 26, -2, 92\/9?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**2 - 2*h + 25*h**2 + 19*h**2.\nAnswer: 46*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of -y**4\/4 + 4*y**3\/3 - 3*y**2\/2 + 2*y + 3. Let l be k(3). Solve -3*i = -5*b + 3, -3 = i - l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 540 and 10668160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-96)\/(-42) - (-6)\/(-21). Solve 2*s - 2*m = 20, y*s + 5*m + 12 = -3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -42033 + 315100?\nAnswer: 233023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 81353.00078071 - 81353. What is m rounded to 6 decimal places?\nAnswer: 0.000781","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 1\/2  (b) -404  (c) 4\/9  (d) -1\/4  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*n**2*x + 1284*n*x + 3817*x wrt n?\nAnswer: -6*n*x + 1284*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 2*q**5\/7 - 26626*q**4\/7 + 88524752*q**3\/7 + 88650312*q**2 + 1419059520*q\/7 + 1064534400\/7 = 0?\nAnswer: -3, -2, 6660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 4\/7, -12\/1929719?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 - ((-8748)\/64)\/(-602 - -605)?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 a when three letters picked without replacement from {r: 7, m: 3, a: 2, i: 1, y: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*a**3 + 10*a**3 - 60 + 60.\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 233 divide 824880523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/3))**(21\/2)*(o\/o**(-5))**(1\/35))**(-27) assuming o is positive.\nAnswer: o**(6453\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 62.11 and -11.1.\nAnswer: 51.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13510 and 11979317.\nAnswer: 119793170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3*h + 5*j = 1, -2*j - 6 = 0. Suppose -5*i + 5*u - 4*u - 17 = 0, -h*u = -i + 8. Let c(o) = 2 + 0*o - 7 - o. Give c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 198994 + -110273. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - j + 24 = 0. Suppose j*q - 5*q = 2067. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-18)\/3)\/(-1 + 0). Let b(v) = v**3 + 6*v - 8. Let h(x) = 3*x**3 + 17*x - 23. Suppose 3*g + 89 - 38 = 0. Give g*b(y) + m*h(y).\nAnswer: y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 4:58 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 54616 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*l**5 + 0*l**5 + l**5 + (-2*l + 3*l**2 + 2*l)*(0*l**2 + 0*l**2 + 2*l**3) - 180*l**2 + 180*l**2 - 9*l + 2*l**5.\nAnswer: l**5 - 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1949*w**4 + 1489*w**2?\nAnswer: -46776*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(560))\/(sqrt(160)\/sqrt(2)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 43142220 (base 5) to base 7\nAnswer: 3051021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14592 - -14616. Which is the second smallest value?  (a) l  (b) -1\/2  (c) 0.05  (d) -5  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/44 and (((-62)\/5)\/(2 + -6))\/1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -358, -529, -710, -907, -1126, -1373, -1654?\nAnswer: -1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176)*5)\/(sqrt(55)\/sqrt(20)))\/(-3*((sqrt(242) + 1*sqrt(242))*-4 + sqrt(242) + (sqrt(242) - -1*-1*sqrt(242)))).\nAnswer: 20*sqrt(2)\/231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e, 1 m, and 1 i when four letters picked without replacement from {r: 2, z: 1, m: 2, x: 1, e: 2, i: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 629395?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**5\/7 + 6*n**4\/7 + 36*n**3\/7 - 120*n**2\/7 + 96*n\/7 = 0. Calculate n.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -10032.9079 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((-1 + (sqrt(99) + -2)*4 + 3*sqrt(99)*5 + sqrt(99) + 1)*4)**2.\nAnswer: -15360*sqrt(11) + 634626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 92 - -119. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1845 and 40221.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -69*j + 73*j - 17, 0*j + 1992 + 1503 = 696*d - 0*j + 5*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12*2 + 2 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-503 + 1207 + 375 - 52)*(-3*t + 4*t + 0*t) to d + s*t and give s.\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10619 or -10623?\nAnswer: -10619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z*z**(-2\/3)*z))\/z*z**(2\/3))**9)**(-5\/7) assuming z is positive.\nAnswer: z**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 448*v - 446*v + 4*z - 40, -2*v - 32 = -4*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-5 - -2) + 4)*1. Suppose l = -5*r - 2*m + 17, 5*r - 2*m - 4 = 0. Let g(z) = 18*z**3 + 3*z**2 - 2*z - 4. List the prime factors of g(r).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -3*h. Let y(i) = 81*i**2 + 33. Let r(s) = 1. Let v(t) = 5*t**2 + 5. Let n(p) = -3*r(p) + v(p). Let c(w) = -33*n(w) + 2*y(w). What is c(j(u))?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26986?\nAnswer: 2, 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.01 + 0.41. Suppose -3*q - 19 = -z + 6, 0 = -4*q. Suppose -x = 4*y - z, 5*x + 0*y = -3*y + 40. What is the third smallest value in h, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 AM and 12:33 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -0.56. Let j = 0.04 + t. Suppose 3 = p + 4. Is p greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17.8 + -17.729. What is g rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - 59\/(-5) - 2 - 16\/20. Let b(y) be the second derivative of d*y + 0 - 1\/3*y**4 - 18*y**2 - 4*y**3. Factor b(f).\nAnswer: -4*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 0.5. Which is the third smallest value?  (a) u  (b) 1\/5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 787, 793, 803, 817, 835, 857, 883?\n\"Answer: 2*q**2 + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271778490?\nAnswer: 2, 3, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1598 divided by -47.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -16*m. Let q(b) = -7*b. Give h(q(k)).\nAnswer: 112*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7198905 is divided by 4109.\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -577*h - h**2 - 9633465 + 9633465 in the form u*h**2 + b*h + y and give b.\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 21*103\/(34608\/288)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of u**3\/3 + 52*u**2 - 100*u - 45. Let j(p) = p**2 + 52*p - 50. Let o(m) = -10*j(m) + 6*v(m). Solve o(q) = 0.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sgf when three letters picked without replacement from ggsggfgspgpsfsf.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8627478 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 - -65. Suppose 3 = -4*x + 5*x. Suppose 0 = -5*v - 2*u - 3*u + 100, v - x*u - 16 = 0. Calculate the remainder when c is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, c: 1, g: 4, q: 8, i: 1}. Give prob of sequence gwq.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 378334497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 231840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 90*s**5 - 37*s**5 - 7*s - 52*s**5 - 2*s**5 + 2*s**5 + s**5 - 4*s**5 + s**5 - 3*s**5 + (-5*s**2 + 3*s**2 + s**2)*(6*s**3 + 0*s**3 - s**3).\nAnswer: -9*s**5 - 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 - 11*z**2 + 2*z + 18. Let f be n(-11). Let p = 3\/46 + 65\/414. What is the smallest value in 0.4, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 625971902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 41732853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/7 - 198*h\/7 - 1040\/7.\nAnswer: 2*(h - 104)*(h + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-27)\/42)\/3*(4 - 6). Let p = -17 - -53\/3. What is the second smallest value in a, -8\/5, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - (-10 - 6 - 20)) + 36\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22714 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2337695, 4675392, 7013089, 9350786, 11688483?\nAnswer: 14026180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04346 + 25834.\nAnswer: 25834.04346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3681\/4 - -915. Find the common denominator of f and -77\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 9\/4*y**2 + 0 - 3\/2*y - 3\/4*y**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -5*v + 15, -8*v + 3*v + 2*i = -20. Suppose -v*j = -75 - 867. List the prime factors of j.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -7*(-2)\/(4 + -2). Let v(f) = -f**3 - f**2 + f - 1. Let b(x) = 3*x**3 - 6*x**2 + 4*x + 1. Let j(o) = -b(o) - 2*v(o). Give j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q + 38. Determine d(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 960328.7km in nanometers?\nAnswer: 960328700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-3) - 45*(-48)\/480*1*-2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v + 3*v + v + 0*v + 0*v - v + (1 - 1 - 1)*(-2*v - v + 5*v) + 1 - 1 - 2*v - 2*v - 1 + v - 1 + (v + 3*v - 2*v)*(3 + 3 - 2).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/3)\/(n\/(n*n\/(n*n\/n**(-10\/11))))*(n*n*n**10)\/(n\/n**19))**23 assuming n is positive.\nAnswer: n**(21068\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2. Let p(f) = -3*f**2 + 14*f + 18. Give -p(j) + 6*z(j).\nAnswer: 3*j**2 - 14*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 13. Which is the smallest value?  (a) 3  (b) 3\/2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cjjcjcbjj. Give prob of sequence cj.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (50 - (-3)\/(4 + -1)). Suppose -9 = r - 29. What is the greatest common factor of u and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w = -8*w - 149. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 49 = 8*j. Let o = j + -45. Factor -2\/5*p**o + 0 + 0*p - 2\/5*p**2 - 4\/5*p**3.\nAnswer: -2*p**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3612.1 - 269700.\nAnswer: -266087.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*n + 0*n + 4*n to j*n + k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/12*(-9)\/(-2). What is the third smallest value in -5, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 7226 - 2628 = 0. Let i be u\/(-9020)*-1 + (-18)\/99. Let y = 36\/41 + i. Which is the third biggest value?  (a) y  (b) -2\/5  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1570 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (5*(0 + 1*(sqrt(363) + (sqrt(363) - (-1 + sqrt(363) - sqrt(363)))) + sqrt(363))*-5)**2*-3.\nAnswer: -6127505 - 123750*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -904*p + 0 - 2 + 958*p.\nAnswer: 54*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ittttttttiiiiiit. What is prob of picking 2 i?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 44011 - -1?\nAnswer: 44012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 87 and 8439.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 166868 and 624?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11201793?\nAnswer: 3, 17, 157, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -54*y**3 - 1043990*y**2 + 4022128*y + 618784 = 0. What is y?\nAnswer: -19337, -4\/27, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 9:15 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 1340597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9408\/5 - 1881. Put -0.1, d, 0.413, -2\/7 in descending order.\nAnswer: d, 0.413, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4 = -2*v, 4*v + 2*h - 16 = -0*v. Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -53, -48, -39, -26, -9, 12?\n\"Answer: 2*d**2 - d - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z - 2. Let r be p(5). Let s = 11 - 16. Put 0.3, s, r in increasing order.\nAnswer: s, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*g*o**4 + 7*g*o**2 - 2*o**6 + 10*o**4 - o**2 - 2 wrt o.\nAnswer: -144*g*o - 240*o**3 + 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (22 + 1 - (197 - 171)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -934, -3710, -8334, -14806, -23126, -33294?\n\"Answer: -924*x**2 - 4*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, l: 2}. What is prob of sequence ele?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22.4 + -70.79. Let u = x - -93. Which is the smallest value?  (a) u  (b) -2\/3  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -24, -1442 in decreasing order.\nAnswer: 2, -24, -1442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1484, 1097, 710, 323, -64?\n\"Answer: -387*p + 1871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 515195 is divided by 13924.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -96228*z**2 + 528*z + 176. Let q(d) = 1631*d**2 - 9*d - 3. Determine -9*i(j) - 528*q(j).\nAnswer: 4884*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s - 1. Let z(x) = -117*x + 13. Let p(o) = -6*m(o) - z(o). Let v be p(-3). Let r = v - -489. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3279, 13118, 29515, 52470?\nAnswer: 81983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 234923*a**2 + 2 + 4 - 6 - 234865*a**2.\nAnswer: 58*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 1539*a - 3335. What is r(2)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00011301 rounded to six dps?\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 1 + 2 - (-13 + 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/4))**(-16))**(-5\/8)*g**5\/g**(-2\/7)*(g**(-2\/5))**(-2\/23) assuming g is positive.\nAnswer: g**(4541\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 27*i + 19*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (247\/78 - 3)*(-7 + 7). Solve -g - 13*u = -2, 4*g + 2*u - 8 = -b*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b + 3. Let w(y) = -54 + 91 - 52 - 4*y. Let m be (-9)\/15 - (-88)\/(-20). Let r be w(m). Determine q(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2148888 and 1074444?\nAnswer: 2148888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 8*u**2 + 13*u - 4. Let w be c(6). Find the first derivative of -7*y**3 + 3*y**3 + w*y**3 - 5*y**3 + 11 wrt y.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18180986 and 5405158?\nAnswer: 199990846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 - b**2 + 14*b - 2. Let k be j(3). Suppose 4*p + 2*o - 10010 = 0, 6*o - 8*o - 10014 = -k*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 565.\nAnswer: -564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -8*p. What is the least common multiple of k(-1) and (-3)\/(-8)*-2*40\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -25979.65  (c) 2\/5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 25 - 761*h**2 + 21 + 33 - 79 in the form a*h + m + r*h**2 and give r.\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 8*h. Let p(z) = -4*z - 5*z + 7*z + h*z. Let r(n) = 2*n + 3. Let o(c) = 2*c + 2. Let q(j) = -3*o(j) + 2*r(j). What is p(q(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - (-3 - (10 + 10 + -14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 314 - 2824\/9. Which is the biggest value?  (a) 3\/8  (b) -32  (c) q  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 3*f + 2*f - 200, 122 = 3*f - 2*w. Does 37 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -43702*3*(-2)\/72. Let l = 3624 - i. Calculate the common denominator of l and -43\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*r + 5. Let b(l) = -l**3 - 5*l**2 + l + 5. Let i be b(r). Let h be (6\/18)\/((-2)\/(-36)) + -3. Solve 4*q + q - 10 = 4*v, i = 3*q + h*v + 21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 12) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -450 divided by -2\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 928877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -3*b + 20. Suppose 8*g = b*g + 128. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 41867134*v**3 - 3*v**2 - 1684*v + 49 wrt v?\nAnswer: 251202804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 1 + 9. Let h(l) = l - 10. Let b be h(w). Let d = b - -6. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 4*j + 2*j - 10, -3*j = -2*i + 10. Suppose -w - 6 = i*w. What is the units digit of 156\/20 - w\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 76.14084 micrograms?\nAnswer: 76140.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*a = 18*a - 225 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 1\/164?\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -75 - -95. What is the third smallest value in -3, -0.2, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 18*m**4 + 15*m**2 - 66*m**3 + 4*m**5 - 25*m**4 - 7*m**5 - 8*m + 73*m**3 = 0. What is m?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3330*82\nAnswer: -273060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46 - 44. What is the nearest to 0 in 4, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 7569342637 and 53.\nAnswer: 7569342690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -2, -37, 2, -3 in descending order.\nAnswer: 2, -2, -3, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 94\/29 - 412\/145. What is the closest to 3 in 0.3, d, 1.89?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-41*r + 678*r + 18*r - 20*r)*(6*r**2 - 5*r**2 + r**2 + (-3*r + r + 0*r)*(-r + 15*r + r)) as w + u*r**2 + d*r + t*r**3 and give t.\nAnswer: -17780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4702569 by 3.\nAnswer: 1567523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 3*d**3 - 4*d**2 - 10*d - 4. Let a be w(8). Suppose -30*n + 34*n = a. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 23*r**6\/30 - 121*r**5\/20 + r**3\/3 - 589*r**2 - 5310*r. Find the second derivative of a(o) wrt o.\nAnswer: 276*o**2 - 726*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -470978 at most -3296855\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 87774194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/10, 1 in descending order.\nAnswer: 3, 1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61310496 by -78.\nAnswer: -786032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 54 - (-32 - -63) - (-25 - 1)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - 265*n - 18721. Calculate r(-58).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (30\/(-40))\/(3\/(-8)). Suppose h - c + 1 = 0. Let p = 4\/3 - h. Is p >= -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9825 and 10087.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 13919, 4, 1?\nAnswer: 13919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41196?\nAnswer: 2, 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1078 + 177*d + 16*d + 80*d - 78 + 11*d with respect to d.\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7300\/(-1460))\/(((-30)\/(-468)*2)\/(-1)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -498 + 4585614617.17\nAnswer: 4585614119.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30*p**4*z**2 + 58*p**3*z**2 + 61*p**3 + 8*p**2*z**2 - 4*p*z + 149846*z**2 wrt p.\nAnswer: 720*p*z**2 + 348*z**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -26*u**2 - 5. Let b(q) = -56*q**2 - 24*q - 672. Let o(k) = 2*k**2 + k + 28. Let v(d) = -2*b(d) - 48*o(d). Determine v(r(p)).\nAnswer: 10816*p**4 + 4160*p**2 + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + 2*k**2 - 3*k**2)*(-1590*k + 3141*k - 1583*k - 2).\nAnswer: 64*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1528*g**3*n**3 + g**3 + 17*g**2*n**3 - 8*g*n**2 + g - 1299*n**3 + 2 wrt g?\nAnswer: 9168*g*n**3 + 6*g + 34*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -5299.\nAnswer: -5294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6, -14, -40, -66, -86, -94?\n\"Answer: m**3 - 9*m**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -14*5\/10*(-3)\/21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30958368.\nAnswer: 2, 3, 7, 23, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) + 1)**2 - (1 + sqrt(19))*-2.\nAnswer: 14*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/4255680 and 1\/49500?\nAnswer: 319176000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26.931 + 26.9. Let p = r + -7.869. What is p rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1648 divided by 412?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 3*(sqrt(112) - (4*sqrt(112) + -5)) + -4.\nAnswer: -36*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -165*t - 65. Let i(y) = -15*y - 6. Let w(x) = 6*c(x) - 65*i(x). Let a(l) = 5*l. Give w(a(j)).\nAnswer: -75*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3162271 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 61626 to the nearest one thousand.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1902096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-47466)\/(-14064)*(0 + (-8)\/(-18))*(-8)\/22.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*r - 132*r - 139*r - 136*r - 133*r + 728*r - 131*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i - 9. Give u(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.04305851 - -87024.48105851. Let w = v + -87038.43800048. Let n = w - -15. What is n rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 5 + 11. Let n be b\/4*(4 + 1). Suppose 14 = 4*l - 2*i, -2*i = 2*l - n*l + 13. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 271454 is divided by 4928.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 3*x - 16. Let l be j(3). Solve l*a = -3*a - 3*o + 5, 5*a - 2*o + 20 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2822976 and 289536.\nAnswer: 11291904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 531962 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (16\/(-136))\/((-6)\/51). Solve -k = -2*k - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2321790.3 seconds to minutes.\nAnswer: 38696.505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5163 - 12003?\nAnswer: -7950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1567, -628, 311, 1250, 2189?\nAnswer: 3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3648499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11112012 + -112?\nAnswer: 11111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -4 + 2 + 7 - -6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 552436.\nAnswer: 2, 167, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 2. Let q = 94.94 - 95. What is the biggest value in f, q, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3821\/1687 + 5\/241. Is 2 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401741?\nAnswer: 23, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 2 - (324 + (52 - 360)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/(2 - (3 + 10\/(-12))). Suppose 0 = 3*b - f - 9. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {x: 1, r: 1, n: 1, s: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(171)*2 + -1)**2*-1 + -4.\nAnswer: -689 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -1417?\nAnswer: 3\/1417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 44, -267, 1.792 in decreasing order.\nAnswer: 44, 1.792, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001615 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a century in years?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -296377004985800*v**2 + 535623880*v - 242 = 0. What is v?\nAnswer: 11\/12173270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5.44, -0.5, -39\/2, -2\/19, 0.1, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + ((-73131)\/(-396))\/(-1). Let w = 2124\/11 + i. Find the common denominator of w and 11\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**2 - 3*i**3 + 611*i - 2 + 2 - 618*i + 6*i**3 to j*i + w + a*i**3 + d*i**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0825 + -1.0825. Is z greater than -483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162980 is divided by 101?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 4*n - 6 = 0, 5*n + 17 + 22 = 2*x. Let w be x - (1 - (-1)\/1). What is the second biggest value in -0.5, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/14 + 612\/84. Suppose -8 - 27 = f*r. Let k(c) = -2*c - 4. What is k(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36979*l + 12348*l = -12425*l - 12331*l - 13125 for l.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1548324.8 to the nearest 1000.\nAnswer: 1548000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 589071 is divided by 4091?\nAnswer: 4058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1201, 1145, 1081, 1009?\n\"Answer: -4*j**2 - 44*j + 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 - -15. Let v(t) = -t**2 - 6*t + 3. Let w be v(h). What is the highest common divisor of w and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36080 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 378485329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 equal to 6086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 20 - (16\/(-4) + 1 + -1). Suppose h - 5*s = -2, -5*h - 3*s - 34 = -c. Sort 52, h, 4, 5 in increasing order.\nAnswer: h, 4, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 3 = -22. Let l(t) = t**2 - g*t**2 + 5*t**2. Let h(u) = -30*u - 12. Let x(z) = -60*z - 26. Let c(k) = 13*h(k) - 6*x(k). Give l(c(n)).\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 15 = -5*b, -6 = -0*b - 2*b + 2*g. Let k be (-18)\/(1 - 0) + 2. Suppose 2 = -a - 1. Put k, a, b in ascending order.\nAnswer: k, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (28 - 59076\/2070)\/(((-4)\/(-10))\/2). Which is bigger: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 302331 less than 302329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 0  (c) -2702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(5*sqrt(30)*2 + sqrt(30)))\/(-6*sqrt(600)*1 - sqrt(600)).\nAnswer: -11*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and -1.634.\nAnswer: -1.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -q + 3. Solve -3 + 0 = q*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 18277430*n**3 - 12749*n**2 + 12749. Let d(o) = -5735*o**3 + 4*o**2 - 4. Determine 12749*d(i) + 4*u(i).\nAnswer: -5795*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s**3 - 2052*s**2 + 228735*s + 44947014 = 0.\nAnswer: -98, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -1. Let q = 1 - m. Let p = 0.8 + -0.7. Which is the closest to 2\/3?  (a) 4  (b) q  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -107 + 106. Let z be l\/8 + (-42)\/48 + 88. Let h = z - 76. Solve 0 = -5*j + 9 + h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1403567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2627.\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-20600)\/(-280) - (-3)\/7. Let i = -69 + r. Let o(y) = -9*y - 1. Calculate the remainder when o(-1) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -378*x - 28. Is 8 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - 16*d + 36. Let t be j(13). Let k be 5\/2 - 91\/14. Sort -24, t, k in ascending order.\nAnswer: -24, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1220, -2442, -3664, -4886?\n\"Answer: -1222*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28*q**5 - 5988815*q**3 - q**2 - 62316414*q?\nAnswer: 560*q**3 - 35932890*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from namymnymyyayymyymnn. Give prob of picking 2 a and 1 m.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*f**3*o**3 + 5*f**3*o**2 + 18*f**2*o**3 + 4*f + 8*o**2 wrt o?\nAnswer: 54*f**3 + 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-331)\/(-7) + 4\/(-14)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10335 + 51677\/5. Which is the second smallest value?  (a) 6  (b) -13  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 75\/4 of a decade?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 21821*i - 2880375. What is s(132)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*v = 2*s + 1266, 3*v = -4*s + 2522. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 + 28. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1340856 divided by -33.\nAnswer: 40632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8 - -8)*1\/(-3). Let a(d) be the first derivative of 0*d**4 + k*d**3 - 4 + 0*d**2 - 3\/5*d**5 + d. What is the derivative of a(p) wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 9:34 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/4 - 1083\/(-684)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 2*a + 3 - 9, 2*d + 5*a - 9 = 0. Solve -2*p + 0*p = -q - 7, 3*p - 13 = d*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -22, -3, 41, -102, -5, -1 in increasing order.\nAnswer: -102, -22, -5, -3, -1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1608, -3151, -4650, -6087, -7444, -8703?\n\"Answer: 3*h**3 + 4*h**2 - 1576*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33626\/9 - -3740. Let u = 463 + -1291. Let d = 12427\/15 + u. What is the common denominator of o and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1367 - 16005?\nAnswer: -17374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -83, 1, 0, 2 in descending order.\nAnswer: 2, 1, 0, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - c. Let w = -279 + 278. Let d(r) = 2*r**2 - 6*r + 2. Give w*d(y) + 5*k(y).\nAnswer: 3*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/13, -0.3, -7, -4\/27, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 962215528 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-7)\/((x\/(x*x**(4\/7)*x*x))\/x*x))**(2\/17))**(-27) assuming x is positive.\nAnswer: x**(1674\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -859*a + 24 - 2*a**2 - 13 + 26.\nAnswer: -2*a**2 - 859*a + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*(-9)\/(-6)*-4 - (-684)\/(-76). Put 8, 6, k in increasing order.\nAnswer: k, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6354 = 49*f - 5129 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 198 and 17554471?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 34088162 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26189521?\nAnswer: 193, 135697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 110040 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 5*u + 9. Let r be z(2). Let v(p) = -2*p - 3 + p - 1. Determine v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 34 = 6. Let z = -11 - -3. Let x = 2 - z. What is the least common multiple of x and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18588565449*h**4 - 427536963223794*h**3 + 968373706212*h**2 - 731123992*h + 184000.\nAnswer: -(h + 23000)*(2649*h - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w + 3 - 17 - 68*w**3 + 66*w**3 to the form o*w + i + s*w**3 + l*w**2 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*q + 267 = -9081. Which is bigger: 120 or q?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 312?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 63948522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 180107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1210030 + 132201?\nAnswer: -1011223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 10) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1184 - -5928\/5. Which is the third biggest value?  (a) 7  (b) 0.2  (c) 2\/9  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 8  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-6)\/120*-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1239933, -5, -3, -4, 2 in descending order.\nAnswer: 1239933, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 - 405\/13. Suppose -2*t - 2*o = -6*t, 2*o = -2*t - 6. Which is the closest to -2\/3?  (a) v  (b) t  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13947, -13992, -14059, -14142, -14235, -14332, -14427?\nAnswer: -14514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 4*o = -24, -4*o + 0*o = -w. Suppose 1 = u + 8. Let v = 4 + u. Let k(z) = -z**3 + 3. Let f(c) = c**3 - 4. Determine v*f(b) + w*k(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-60)*6\/4. Let t = i - 33\/140. Let p be (30\/150)\/((-6)\/(-50)). Which is the biggest value?  (a) -0.4  (b) t  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 918 = -b + q, -2*b = -4*q - 360. What is the greatest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/144 and 119\/2232.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -9 + 14*c + 489*c**2 - 491*c**2 + 5*c. Determine k(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 - 342*a + 340*a - 1 - 1 + a**3. Calculate i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/6)\/((-2)\/6). Let d be (-6)\/3 - 3*k. Solve 0 = -0*v - d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 - 1)*(v + 2*v**2 - v) + 3*v**2 - 2*v**2 - 3*v**2 + 171 - 167*v**2 - 171 - 112*v**2 - 757*v + 757*v to i + n*v**2 + u*v and give n.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**4 + 4*z**3 - 24*z**2 - 16*z + 32.\nAnswer: 4*(z - 2)*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -57 - -51. Is y less than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 - 19*i + 81. Calculate h(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 80 and 56000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 6, 1, -38, -1666, 3 in decreasing order.\nAnswer: 6, 3, 2, 1, 0, -38, -1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(3) + -1)*1 + sqrt(3) - sqrt(3)) + 5 + (1 + sqrt(36)\/(sqrt(12) - 2*sqrt(12)))**2).\nAnswer: -2*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (4 + -2 + 4*sqrt(637))**2*-2 + 4.\nAnswer: -20387 - 224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50 - 50. Suppose y - 226 = -2*a, q*y = 4*y - 5*a - 943. Suppose -2*b + 4*b - y = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 3 + (-1 + (sqrt(11) + 3 + sqrt(11))**2 - (sqrt(11) - (sqrt(1331) - (sqrt(1331)*1 + sqrt(1331)))**2)).\nAnswer: 11*sqrt(11) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*p + 36045 = 34906 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 + -2 - (3 + 1). Let q(f) = f**2 - f - 1. Let n(k) = -k**2 + 2*k + 1. Let s(w) = y*q(w) - n(w). Factor s(c).\nAnswer: -(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f**2 - 165845*f + 2320850 = 0. Calculate f.\nAnswer: 14, 33155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 233*v + 17*v + 46*v**2 + 17*v**2 + 2*v**3 + 204 - 15*v**2.\nAnswer: 2*(v + 1)*(v + 6)*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {j: 3, r: 1, t: 7, m: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 20 = 0, 15579 = -4*i - 3*k - 0*k. Let t = i + 5530. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -434*t**3 - 8 - 282*t**3 + 229*t**3 + t**2 + 8.\nAnswer: -487*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -35\/167 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.05, -4, 4, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**2 + 0 + 0)*(4*h + 0*h - 5*h) + h**3 + 2*h**3 - h**3 + 0*h**3 + 0*h**3 - h**3 - 3*h**3 + 0*h + 0*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 82830*u - 662699. Determine w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 10 + 13 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 8:22 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**2 + 4*v - 2. Let k be f(7). Suppose 216 + 4 = 4*h. Suppose 0*u + 2*u - o - h = 0, 2*o - k = -5*u. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 + 8*i**2 + 5. Let b(q) = 2*q**3 + 15*q**2 + 9. Let x(h) = 3*b(h) - 5*s(h). List the prime factors of x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 16*q + k, 1 = -89*q + 90*q - 4*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 g, 1 k, and 1 w when four letters picked without replacement from {x: 5, m: 1, w: 1, k: 1, g: 2, z: 7}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ozqhophhzpdoqoq. What is prob of picking 1 o and 1 p?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = 27*q - 2179. What is the lowest common multiple of 132 and q?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of -s**6\/120 - s**5\/15 + s**4\/4 + s**3 - s**2. Let q be r(-5). Let t be q\/(2\/(-4) - -1). Solve -3*y + t*y - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(112)\/sqrt(4) + sqrt(28))\/(sqrt(16)*-5) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 21*c - 80. What is the remainder when 35 is divided by a(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 349680 and 699360?\nAnswer: 699360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + 13)\/((-5)\/(-20)). Let x be (-24)\/w + 5\/7. Let f = 0.5 - 0.3. Which is the nearest to x?  (a) 4  (b) f  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of n**8\/420 + 7*n**4\/6 + 3*n**3 - 23. Let f(c) be the third derivative of u(c). What is the derivative of f(r) wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -260414?\nAnswer: -260416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 52 + 83*i + 88*i - 5*i**2 - 31*i + 6 + 87.\nAnswer: -5*(i - 29)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -17, -33, -59, -95?\n\"Answer: -5*d**2 - d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/37))**(-8\/13) assuming a is positive.\nAnswer: a**(16\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in -4, -4\/171, -1?\nAnswer: -4\/171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g**4 + 40083*g**3 - 78923541*g**2 - 5670893735*g - 2255727162 = 0. Calculate g.\nAnswer: -69, -2\/5, 4043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(275) + -5 + (sqrt(275) + -1 - sqrt(275)) + (sqrt(275) + ((sqrt(275) + -2)**2 - sqrt(275)) - sqrt(275)) + 0 + 4)*-2*4 + -5.\nAnswer: -2221 + 280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**4\/12 + 5*y. Let t(s) = 6*s**2. Calculate n(t(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*p + 69 = 22 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a second in milliseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62963374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -495*z + 491*z = 5*y + 58, 0 = -6*y - 2*z - 36 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of i**4\/12 - 7*i**3\/6 + 2*i**2 - 5*i. List the prime factors of j(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2126.7863 rounded to 0 decimal places?\nAnswer: 2127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 3556?\nAnswer: 32004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.27, -0.4, -7.703, -0.5, -1 in decreasing order.\nAnswer: 0.27, -0.4, -0.5, -1, -7.703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 5*a**2 - 77085*a - 154190 = 0.\nAnswer: -2, 15419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((10 - 3 - 4)*(-2 + 5 - 1) + 0 + 0 - 2)*(-v - 3*v + 5*v)*(-6*v**4 - 4*v**2 + 4*v**2).\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1 + -2*2*(0 + sqrt(242)) + 1))**2.\nAnswer: 96800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 5*o**2 - 1. Let a be r(-5). Let y be 24\/(-20)*(a - -16). Let d be ((-2088)\/27)\/4 - (-3 + (-16)\/(-6)). Which is bigger: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.9 + 2. Put x, 0, 4\/7, -1 in descending order.\nAnswer: 4\/7, x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 441 - 385. Let h = g - 56.6. Which is the nearest to 1\/3?  (a) -1\/3  (b) -4  (c) h  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d - 4 - 2 + 5 - 2. Let x(v) = v + 4. Let o(y) = -y - 4 + 2 - 3. Let b(i) = -5*o(i) - 6*x(i). Determine -5*b(c) - 2*f(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/((-3)\/6) + 3. Let j(d) = d**2 - 3*d - 6. Let n be j(m). Let r = n - 3. Which is the smallest value?  (a) 0  (b) -3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2628 and 33159?\nAnswer: 29047284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 202 + -371. Let s = 437 - u. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 541.9 + -253. Let u = k + -303. Let c = -14 - u. Is 0.02 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -260316 + 1047117\/4. Let y = 1474 - m. Let f = y + -11. Which is the closest to -1?  (a) 4\/5  (b) f  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 61399 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/(-6) + (-2)\/4. Let g(w) = w**3 - w**2 + w. Let c be g(n). Let m = -4 + c. Is m bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-24)*(-12)\/(-15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14958 - -15630. Calculate the greatest common factor of p and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -42650342108.00007 + 42650089302. Let p = -252818 - o. Let g = -12 - p. Round g to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence memm when four letters picked without replacement from emmmemem?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of -52*u**2 + 5*u**3 + 0 + 0*u + 0*u**4 + 29\/30*u**5. Find the first derivative of v(i) wrt i.\nAnswer: 116*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 4*k**2 + 17*k - 13. Let p(v) = -3*v**2 - 15*v + 16. What is 7*g(q) + 8*p(q)?\nAnswer: 4*q**2 - q + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1003347 - 857?\nAnswer: -1004315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*b**2 + 11*b**2 - 46*b + 112*b + 2*b**5 - 5*b**2 wrt b.\nAnswer: 40*b**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3*k**2 - 10*k + 27. Let i be ((4 - 8) + 3)*-9. Is 29 a factor of a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -17. Solve -5*r + f*r = -4*z - 24, 5*z = -25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -73796 - 9?\nAnswer: -737a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1813104 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: Let z**3\/2 - 8275*z**2 + 56409713*z\/2 + 51958746508 = 0. Calculate z.\nAnswer: -1304, 8927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/38, 1, -0.08, 0, -2\/7?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = 8*c - 89. Solve t = -3*q - c, 11 = -4*q - 0*t + t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 12*k - 1. Let x be h(-2). Let g = x + 29. Solve -j - 3*l + g = -3, j = 2*l - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 2  (b) 3\/5  (c) 4  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 13*m + 4. Calculate i(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 565746 is divided by 4442.\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from sclccsccslllc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7512.224cm to kilometers.\nAnswer: 0.07512224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (49\/2)\/(24\/96). Solve 4*j + 15*j - 9*j**3 + 18 + 14*j + 95*j**4 - t*j**4 + 9*j**2 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 1:26 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 268883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**5 - d**5 + d**5 + 12*d**5 - 4*d**5 - 6*d**5 + (3*d**3 + 3*d**5 - 3*d**3)*(0 + 3 - 1) + 1 + 2*d**5 - 1 + d**5 + 0*d**5 - 4*d**5.\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28142, 11, -155 in descending order.\nAnswer: 28142, 11, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*n**5 - 55*n**4 + 12*n**2 + 27884*n.\nAnswer: -80*n**3 - 660*n**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v**3 - 565*v**2 + 57156*v = 0. Calculate v.\nAnswer: 0, 132, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.17*-16.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 13. Let d = -199\/314 + 20279\/61230. Let y = d - 2\/65. Which is the second biggest value?  (a) w  (b) 0  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 5*p**2 + 2. Let v be m(-5). Suppose -4*c**2 - 2*c**2 + 2*c**2 + v*c**2 + 2*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27541731*d*l**2 + 19544831*l**2 wrt d?\nAnswer: 27541731*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 280 (base 15) in base 13?\nAnswer: 34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.18 * 249\nAnswer: -44.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 37960, 37932, 37904?\n\"Answer: -28*l + 37988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14130 and 1320370.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 213 and 390?\nAnswer: 27690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -256 + 503. Let d = -247.000304 + v. What is d rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -6. Suppose -12 = -150*m + 154*m. Let v(o) = o + 10. Let i(z) = m*v(z) - 5*y(z). Let p(t) be the first derivative of -4*t**3\/3 - 2. What is p(i(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 6*f = 30, -12*f - 441 + 824 = k + k + 461 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 13*b - 10. Suppose -3*k = 3*j - 12, -4*j = 4*k - k - 11. Let u(m) = -m**3 + 4*m**2 + 7*m - 2. Let g be u(k). What is the units digit of i(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**3 + 10*t + 2*t**3 + 0*t + 3*t + 9*t**2 - 15. Let l be z(10). Which is greater: 16 or l?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 291 and 873.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-2 + 6 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 336*d**3 - 49*d + 49. Let h(a) = -14*a**3 + 2*a - 2. Calculate 49*h(x) + 2*i(x).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = f - 93. Solve -2*n + 10 = 0, 5*n = 3*q + f - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 56250, 55579, 54908?\n\"Answer: -671*h + 56921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4656*j - 101*j**3 + 4654*j - 2 - 570*j**3 to x*j**2 + y*j + s*j**3 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -313111 (base 11) to base 9.\nAnswer: -844448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 1. Suppose 5*o = 40 - 20. Solve c*x = 2*x + o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 392390.\nAnswer: 2, 5, 39239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 - 5. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/o**7)*o**(-2\/11))**(-13\/5) assuming o is positive.\nAnswer: o**(-195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/6367048 and -17\/2575?\nAnswer: 159176200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5043 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(60))\/sqrt(3))\/(sqrt(4) + sqrt(576)*2 + sqrt(4)))**2 - ((5*sqrt(5) + -3 + sqrt(5))**2 + (sqrt(350)\/sqrt(7))\/sqrt(10)).\nAnswer: -127759\/676 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + w + 196 = 0. Let a be 5 - 1 - (184\/w)\/(-2). Suppose 0 = 3*r - 0 - 6. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 6 = g, 46*l - 49*l = -4*g + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 2*d, 0 = 8*a - 3*a + 5*d - 10. Suppose -c = -4*c + 3*s - 15, a*c - 5*s + 25 = 0. Solve c = 5*j - 20 + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 4*b = 10, 10 = 7*j - 6*j - 3*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 14, 2\/7, -2, -625\/2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(36))\/(sqrt(18)\/(sqrt(36)\/sqrt(4)))*5.\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**4\/5 - 5632*z**3\/5 + 1988084*z**2\/5 - 3953672*z\/5.\nAnswer: 4*z*(z - 703)**2*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m - 4*m + m + (5*m + 3*m - 6*m)*(9 + 1 - 4) + 14*m - 10*m + 10*m.\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 5, s: 11, j: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4353083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 830017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1192001 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2634*b**2 + 913*b**2 + 1718*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 74693, 149392, 224115, 298874, 373681, 448548, 523487?\n\"Answer: 2*a**3 + 74685*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54606.\nAnswer: 2, 3, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 3*q + 5*i + 26, 0 = 2*q + 4*i + 20. Suppose 2*r - 2*b = 7*r + 6, 4*b = 8. Let m be -1*(-4 - r)\/(-2). Which is bigger: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of s**7\/42 + s**5\/20 - 3*s**2\/2 + 6*s. Let h(b) be the first derivative of r(b). Find the third derivative of h(a) wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 3018*r + 41837. Calculate l(-14).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 93026 and 1158.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24034\/7 + 3452. Suppose -8\/7*n**5 + 16\/7 - q*n**3 - 24\/7*n - 54\/7*n**4 - 124\/7*n**2 = 0. What is n?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -5*j - 5, 878*h - 3*j - 27 = 873*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 144, 186, 228?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0696 and -0.05.\nAnswer: -0.00348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 28\/55 and -1\/1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/66757908 and 13\/203035.\nAnswer: 333789540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*v - 10*v + 15*v - 22*v**2 as d*v**2 + m*v + u and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 126238944 and 372.\nAnswer: 126238944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -3 and -7\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-1)*1 - (-71)\/1. Let r = p + -69. Let h = -0.4 + 1.4. What is the second smallest value in -0.4, r, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by -54.\nAnswer: 11\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2703438 and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) 5  (c) -3  (d) 13.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*b - 2*s, 0 = -5*b - 3*s - s - 16. Let l be b - ((-3 - -1) + 8\/4). Let r = -2 - -2.01. Which is bigger: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3\/11 - 11726002*s**2\/11 + 46904032*s\/11 - 46904040\/11.\nAnswer: -2*(s - 2)**2*(s + 5863005)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x. Let r(o) = 66434460*o. Calculate d(r(m)).\nAnswer: 132868920*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 41952 and 2825376?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 81498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 77*o**2 - 1. Let a be b(1). Let u = -809 - -726. Let z = a - u. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.9427, 7, -2, -15\/2, 7\/13 in descending order.\nAnswer: 7, 7\/13, -0.9427, -2, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 14*j + 82. Let t be a(-18). Suppose -4*z + 2*c = -52928, -t*z - 13218 = -11*z - 3*c. What is z rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 119. Let f be a(0). Suppose -9 - 85 = -4*z - 2*m, 5*z + 4*m = f. Let c(k) = 5*k + 2. Calculate the remainder when z is divided by c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1716 - -5146\/3. Let m = -1 - -5. What is the nearest to d in -4, m, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 10 = -3*b, -196 = 3*d + 4*b. Let q = -69 - d. Solve -22 = -q*l + 5*g, 5*l + 0*g + g = -10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2852 = y, 2*y + 3*y + 14210 = 5*f. Calculate the common denominator of 83\/6 and y\/(-26)*1\/6 - -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1562132\/37 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from dsjjdjdssjsddjjdsdj.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-67 - -67) + 1 + (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 16, 7792 in ascending order.\nAnswer: 3, 16, 7792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*f + 15 = -3*f, 4*x = -4*f + 20. Let u = 11 - x. Solve -4*s = 2*t + 30, -2*s - 3*t - 32 + u = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 99 + -690\/7. Let r = 1 + -1.2. Let l(n) = 2*n**2 + 2*n - 1. Let f be l(-2). Which is the third biggest value?  (a) r  (b) f  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/(-2))\/(11\/(-110)). Suppose -k*x + 4*b + 490 = 0, -24 = -3*x + 3*b + 270. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4756, 5195, 5634, 6073?\nAnswer: 6512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*l = 52*l - 1530. Suppose -2*w + 3*j = -279, 579 = 3*w + 3*j + l. What is the remainder when w is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(-1)*a*a)*a)**(-22)*(a*(a*a\/(a*a**(2\/3))*a)\/a*a)**(-1\/2))\/(((a**(-2\/3)*a)\/a*a*a**4)\/(a**6*a*a**1)) assuming a is positive.\nAnswer: a**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 40*a**2*k*q + 8*a**2 - 39*k - 35*q wrt a?\nAnswer: 80*a*k*q + 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -891 = -5*c - 2*y + y, 2*y = c - 176. Let u = 256 - c. Suppose -f + 18 = -r, r - 3*r = -5*f + u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.2 - -1.7. Suppose 5*o - 2*p + 65 = 0, 0 = o - 7*p + 6*p + 13. Let k be o\/(-3) + -19 + 14. Which is the closest to k?  (a) 5  (b) -1\/3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 PM and 1:33 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*i**2*t + 6*i**2*v**2 - 7*i**2 - 885*i*t*v**2 + 45*i*v wrt t.\nAnswer: 3*i**2 - 885*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + i = 10, -2*i - 19 = 40*a - 45*a. Solve 4*n + 3*p = -7, -2*n = a*n + 4*p + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -p**4\/7 + 15656*p**3\/7 - 234690*p**2\/7 + 167600*p - 1955125\/7 = 0.\nAnswer: 5, 15641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l**2 - 34*l - 1101. Does 92 divide o(83)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*i - 2*r, -3*r + 41 = 4*i + 51. Is i smaller than -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(1\/6)*o*o**(-1\/2)*o*(o*o**(-5\/6)*o*o)\/(o*o*o\/o**(1\/5)*o*o))**(8\/11) assuming o is positive.\nAnswer: o**(4\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (10 + -16 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.452 - -1.452. Sort -10, 0.5, -0.44, -0.2, x in descending order.\nAnswer: x, 0.5, -0.2, -0.44, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 225 divide 329594625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.6 in 3, -10, -4, 0.023?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 62310 and 21855.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1552 + -534?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j\/j**(-5))\/(j\/(((j**5\/j)\/j)\/j)))**(26\/7))**26 assuming j is positive.\nAnswer: j**(5408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 0)*1 + (-56)\/(-84)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5230888 divided by 26\nAnswer: 201188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2416 + 2518. Solve 7*a - 109 = -o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -3, 5, -7.\nAnswer: -10, -7, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1342015669 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 80 - 70. Let p be 1\/s*36 - 6\/(-15). Let f be p\/1 - (-1 + -11). Solve f = 2*j + 5*n, -2*j - 2 = -3*j - n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 131 - ((-3)\/6)\/(5\/10). Suppose 7*q - u = 785. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1290)\/(-850) + (-48)\/408.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-16 + (3 - 2)). Is -19 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 201*c**2 + 1370*c**2 - 3*c - 31047 + 31045 in the form s + l*c + n*c**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 57*c - 9882. What is w(173)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jfuguajujfjujagjj. What is prob of picking 1 a, 1 f, and 2 g?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of -4*k**3\/3 + 3*k**2\/2 + k - 1. Let n(b) = 3*b**2 - 2*b. Let y = 889 - 1336. Let u = 450 + y. Calculate u*n(m) + 2*h(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 0*t + t**2)*(t**2 + t**2 - t**2 + (83 - 83 - 13*t**2)*(-3 - 3 - 8)).\nAnswer: 183*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5700377 + 15?\nAnswer: 5700414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -121, -576, -1481, -2974, -5193, -8276, -12361?\n\"Answer: -23*r**3 - 87*r**2 - 33*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**5 - 5*z**5 - 5*z**5 + (z**2 - 2*z**4 - z**2)*(2 + 5*z - 2) + 2 + z**5 - 2.\nAnswer: -17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 63\/5 + 4\/10. Let d = 17 - i. Calculate the remainder when 17 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -93439*k - 1027874. What is a(-11)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 10:31 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, n: 4, s: 6}. What is prob of picking 2 s?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {b: 1, e: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -18229 divided by -79\nAnswer: 18229\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 347395.33 to the nearest 1000.\nAnswer: 347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/10)\/((-45)\/150). Suppose -4*s - 24 = 5*o, y*s = -o + 3*s - 5. What is the tens digit of (-76)\/(-6)*(-6)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = t - 39, -5*t = 5*a - a - 224. Solve t - 40 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*c + 50. Calculate the remainder when c is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*x - 3. Let t(n) = n + 5. Let q be t(x). Suppose 0 = 4*z + 15 - 7. Put 6, q, -5, z in decreasing order.\nAnswer: 6, q, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891) + sqrt(891) + sqrt(891)*-1 + -2 + 2*sqrt(891)*2 - (sqrt(891) + sqrt(891) + -5*(sqrt(891) + 0) - -6*(sqrt(891) + -1)))**2.\nAnswer: 144*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -73, -190, -307, -424, -541, -658?\n\"Answer: -117*w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b - 8. Let t be u(5). Does 6 divide t*16\/2 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - -2 - (-13 - -17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -13*b**3 + 7*b**2 + 2*b. Let l(u) = -u**2. What is a(t) + 6*l(t)?\nAnswer: -13*t**3 + t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 38093, 36722, 35351, 33980, 32609?\n\"Answer: -1371*y + 39464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 8*h**2 + h - 4. Let u(k) = -22*k**2 - 2*k + 11. Let b(q) = 3*u(q) + 8*x(q). Give b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/3 of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 229*j + 7980. Calculate u(-35).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 397\/5 or 78?\nAnswer: 397\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*n**2 + 9*n**2 + 17*n**2 - 243510 + 17*n**2 + 243510.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2*z)\/(z*z**(2\/7)))\/(z\/(z*z*z**(2\/23)*z)*(z*z**(-4))\/z*z)*(z**2\/(z*z*z*z\/z**15*z))**(-9\/8) assuming z is positive.\nAnswer: z**(-2157\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 359 (base 12) to base 2\nAnswer: 111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1854821?\nAnswer: 1093, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + 49. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*c**2 + 19*c**3 + 6*c**2 + (-c**2 - c**2 + 4*c**2)*(0 - c + 0).\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.4  (b) -0.5  (c) -0.03  (d) 0  (e) 0.05747\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 10:31 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1934.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2357, -18773, -63339, -150131, -293225, -506697?\n\"Answer: -2346*o**3 + o**2 + 3*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*n + 2. Suppose -y - 1 = 5*t, -2*t + 7 = 3*y + 3*t. Factor 6255*p**n - 165 - 2700*p**y + 1122*p + 642*p + 375*p**5 - 51 - 5154*p**2.\nAnswer: 3*(p - 3)**2*(5*p - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zogysll. Give prob of sequence zy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1893115017 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: List the prime factors of 62752750.\nAnswer: 2, 5, 103, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wijiwjiiggganagggng. Give prob of picking 3 i.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 4*t - 6870, -3*t - 5*u + 1727 = -2*t. What are the prime factors of t?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 3, -0.1, -181, -12\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k. Let c(z) = z. Let f(o) = 14*c(o) - 6*n(o). Let l(i) = -5*i**2 - 8*i**2 + 5*i**2. Calculate l(f(g)).\nAnswer: -128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (112\/(-40))\/(2\/(-10)). Let y be 3 - 49\/m - 3\/2. What is the nearest to y in 1\/3, 2\/9, -20?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 < -8960\/1423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + 0 + 3 + -4 + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v - 2. Let s be q(-9). Do 5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 4.3, -0.3, -3\/4 in ascending order.\nAnswer: -3\/4, -0.4, -0.3, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + g + 12. Let i be n(0). Let q(b) = 9*b - 12 + i. Let c(w) = -2*w. Give c(q(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.0769362 to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 10:30 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 3*n - 0*n. What is the common denominator of 35\/3 and ((-85)\/n)\/((-2)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -672 - -900. Suppose 0 = -u - 69 - 89. Let o = q + u. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 3. Suppose 0 = p*g - 3*g + 2. Suppose -g*t = -3*t. Sort 4, t, 3 in ascending order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + -3. Let d be t\/5 + 4192\/(-20). What is d rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 16) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 2075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 22141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -211*f = -206*f - 50. Differentiate 35*z - 14*z + 47*z - f - 15*z wrt z.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 891625 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 391 + -382. Which is the biggest value?  (a) -0.04  (b) -0.3  (c) u  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 71181?\nAnswer: 569448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/1444 and 93\/140.\nAnswer: 50540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 831 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, t: 2, l: 3, b: 2, g: 3, z: 3}. Give prob of sequence llg.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b0 - 50b5d?\nAnswer: -50c2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197296127?\nAnswer: 7, 101, 179, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8015361 + 8015359.40000544. Let a = 14069 - 14070.6. Let q = a - z. What is q rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 - 9*g - 8. What is k(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -4*t + 28. Let s be r(8). Let i = 4.4 - -0.6. Which is the fourth smallest value?  (a) i  (b) 0.5  (c) 0.2  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 - 4 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k - 12. Let w be z(-10). Suppose -3*l - 11 = 4. Let d = w - l. Solve -2*j - 4 = -5*c, -2*c + 5 = d*j - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 927630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 + 11 = 12*r - 2*h, 20*h = -r + 19*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/108 and -23\/4842?\nAnswer: 29052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*a - 2*m + 2, 0 = -3*a - 5*m + 40. Suppose -a*z - y = -4*z + 127, -2*z - 282 = -5*y. Let q = -135 - z. Put -2, q, 2 in increasing order.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 19.964 from -1850954761.\nAnswer: -1850954780.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*d**4*u - 3*d**3*u - d**3 + 2*d*u + 9*d + 2 wrt d?\nAnswer: 120*d**2*u - 18*d*u - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 611681?\nAnswer: 7, 87383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 168\/(-140)*(-1)\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (-48 - -97) - (0 - ((0 - 2) + 10))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9591.\nAnswer: 3, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-8) - (31188\/920 + -34).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 11 = -5. Let o be (m\/27 + 57\/108)*4. Suppose 0 = o*s + 3*l - 148 - 236, -5*s + 4*l + 595 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -96 (base 11) to base 8\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 23 = -8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*v + 91 = 3*g, 4*v + 141 = 5*g. Suppose 0 = 2*u - 5*u + 12. Suppose -u*p = -293 + g. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11*-35\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-209 - 273 - 147)*(r**2 - 4*r**2 + r**2)*(0 - r**2 + 0).\nAnswer: -1258*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*c = 70, 5*c + 20 = -2*u - 64. What is the units digit of 3 - (-1 + u - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14945766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*j**3 + 2*j**3 + j**3)*(-j + 0*j - j)*(0 + 1 - 2) + 179*j**4 - 178*j**4 - 3683 - 10641 in the form n*j**4 + o*j + y*j**3 + l*j**2 + z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m - 12. Suppose 2*o + p = -0*o - 235, -3*p - 229 = 2*o. Let d be (-8)\/12 - o\/21. Determine l(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 116450101 - -4?\nAnswer: 116450105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (0\/1 - 1) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 687 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 131143?\nAnswer: -131140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 3*s**2 + 262*s + 1917. What is b(-79)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -9  (b) -0.4  (c) 131  (d) -1.8  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1212222 (base 5) to base 3.\nAnswer: -1011021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.3909 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-30)\/(-8))\/(2\/8). Let i = -184 + 319. Calculate the highest common factor of h and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -360*j**3 + 11*j + 8. Let t be z(6). Let v = -226686 - t. What is v rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9662.416 micrograms?\nAnswer: 0.009662416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of -i**8\/336 + 49*i**6\/60 + 163*i**4\/8 - i**3\/6 + 5*i**2 - 7*i. Find the second derivative of h(q) wrt q.\nAnswer: -20*q**3 + 588*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1043 = -555*c - 5857 - 315 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 5*s, -5*g + 2*s + 37 = 14. Solve 4*r + 6 = -g*z - 30, 0 = 5*z - 4*r + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -1028*c - 2036. Let o be z(-2). Solve -61*y + 63*y + 10 = 2*q, 3*q + 4*y + o = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from lghrpchrhchcghhhgh.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000014031864015 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 114918 (base 10) to base 3.\nAnswer: 12211122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2*sqrt(104)*-5)\/(2*1*sqrt(8))*4 + 5.\nAnswer: -20*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -19446.38 to the nearest 10.\nAnswer: -19450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 + g + 1. Let f be (-5 - -6)\/(1\/4). Let y(i) = -6*i**2 + 4*i + 4. Let k(u) = f*t(u) - y(u). Let s(o) = 16*o. What is s(k(r))?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 280\/50 - 550\/(-125)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/238 and 13\/10710.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vava when four letters picked without replacement from {v: 3, y: 1, a: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -114*n**2. Let j(f) = -15437*f**2. Give j(c(x)).\nAnswer: -200619252*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327694079 is divided by 163847037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3351075127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 4, 5\/3 in ascending order.\nAnswer: -21, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 39, -0.4, 32\/3 in ascending order.\nAnswer: -0.4, 0, 32\/3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1834\/309 - -484567\/81370. Calculate the common denominator of 1\/474 and j.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**3\/7 - 9*r**2\/7 - 12*r\/7 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19*q**3*t**4 - 10*q**3*t - 155*q**2*t**2 + 9*t**4 - 13*t**3 wrt t?\nAnswer: -456*q**3*t + 216*t - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of q**5\/120 - q**4\/8 + 2*q**3\/3 - 8. Let n(v) be the third derivative of w(v). Calculate n(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*z - 5*q - 15, -z + 22 = -5*q. Let s = 2 - z. Suppose 0 = -2*c - u + s*u + 26, u = -5*c + 98. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -422422 (base 10) to base 7.\nAnswer: -3406360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -4*t, -2*y + 4*t - 18 = 5*t. Let k = 19 + y. Solve -4*g - 1 = k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-2)*-1*259\/(-74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4730039718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -8*x - 1. Let u(h) = 3*h - 1. Let b be u(1). Suppose b*g = 2, 0 = 2*t - t + 5*g - 1. Let p(d) = 9*d + 1. Let s(z) = t*p(z) - 3*y(z). Determine s(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7 - 13 + 12*z**3 - 23*z**3 wrt z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0796084 tonnes in micrograms?\nAnswer: 79608400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 + 2 + 8\/2. Suppose 3*l = -3*j + 4*l + 23, -31 = -5*j - c*l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*d**5 + 10765*d**3 + 16*d**2 + 1940487*d + 20 wrt d.\nAnswer: -140*d**3 + 64590*d + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*s = -55*s + 43401. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3)\/q**(-6))\/(q**(-1\/2)*q\/q**(1\/2)) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 109*m**3 + 12212*m**2 - 12*m + 1050790.\nAnswer: 654*m + 24424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**4 + 44*b**3 + 3*b**2 + 4*b**4 - 46*b**3 to z*b + h*b**4 + g*b**2 + x + n*b**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -24 - 3\/(15\/(-5)). Let i(n) = n**3 + 31*n**2 - 9*n + 43. Let r be i(w). Let m = -12482 + r. Round m to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -83*y + 3. Let h(g) = -7*g**2. Calculate h(r(l)).\nAnswer: -48223*l**2 + 3486*l - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 271878.9ml?\nAnswer: 271.8789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = -13*t - 4*v, 5*v = -3*t + 32115 - 32078 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -629 divided by -189?\nAnswer: 629\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 60*g*q**3 - 2*g*q + 327*g + 33*q**2 + 1 with respect to q.\nAnswer: 180*g*q**2 - 2*g + 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 11 - 3. Let q(z) be the third derivative of 0 + 1\/27*z**3 + 1\/540*z**6 + 1\/90*z**5 + 0*z + 1\/36*z**4 - 2*z**o. Factor q(f).\nAnswer: 2*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -12 + -3*2\/3. Calculate the common denominator of 4\/h - (-1833)\/168 and (1 + 0)\/5 + (-3306)\/180.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 625234 (base 7) to base 3\nAnswer: 12110102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16.9*1.04333\nAnswer: 17.632277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of 0 - 103\/30*r**5 + 0*r + 0*r**3 - 102*r**2 + 1\/12*r**4. Find the second derivative of u(w) wrt w.\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (266 + -14 - -13)*(-32)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -33*v**4 + 468*v**3 - 84*v**2.\nAnswer: -3*v**2*(v - 14)*(11*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 6, g: 6, c: 4, f: 2}. What is prob of sequence hgfc?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 6059?\nAnswer: 12118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*t - 1 = -n - 24*t, 4 = 4*n + 5*t. Solve 2*a - 10 = -2*k, -4*k + 9*k - n = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(126)*-3)\/(sqrt(14)\/(sqrt(7)*-1)) + sqrt(756)\/(sqrt(36)\/sqrt(3)) + -3.\nAnswer: -3 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 7*y - 5. Let o be h(-6). Is 3 + 38 - 1 - o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158 - 2 = -20*r. Let v(c) = -14*c**2 + 6. Let y(p) = 3*p - 3*p - 5*p**2 + 2. Determine r*y(f) - 3*v(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208250 is divided by 6661?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4197.\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1\/2*(67 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 341*c**2 + 9*c + 15. Is x(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 294\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1321682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 385667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -144716, -289463, -434218, -578981?\n\"Answer: -4*i**2 - 144735*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7187, 7188, 7211, 7274, 7395, 7592, 7883, 8286?\n\"Answer: 3*y**3 - 7*y**2 + y + 7190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mwmwxgxwwwww. What is prob of sequence gx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4483343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 626977277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -16*y + 16797. Let m be 2 + y + (-5)\/(-5). What is m rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k - 4. Let o(h) = -5*h + 5. Let q(p) = 3*o(p) + 4*y(p). Let j be q(1). Suppose j = -0*l + 2*l - 4. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4735*t**2 + 324*t**2 + 11 + 13840*t**2 + 19614*t**2.\nAnswer: 38513*t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 33552463 (base 8) in base 2?\nAnswer: 11011101101010100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6c6ab (base 14) in base 6?\nAnswer: -5401411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1858 is divided by 362.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4420000)\/663)\/(-400)*3\/(-2)*-1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = 4*r + 4, -478*f + 473*f + 3*r = 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2160)*2)\/(sqrt(12) - 5*(sqrt(12) - sqrt(768))).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**2 + o - 3. Let a(c) = 12*c**2 + 356*c + 7732. Let l(h) = a(h) - 4*p(h). Factor l(v).\nAnswer: 4*(v + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of x**7\/1575 - 7*x**6\/900 + 8*x**5\/225 - x**4\/15 - 48*x**2 + 1. Factor l(u).\nAnswer: 2*u*(u - 3)*(u - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (1*1*sqrt(153) + sqrt(153))\/(5*sqrt(18)\/sqrt(2)))*-4 + 3.\nAnswer: -8*sqrt(17)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**5 + 2672*t**4 + 21280*t**3 + 42496*t**2.\nAnswer: 2*t**2*(t + 4)**2*(t + 1328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 14 + -145?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 + 2*f**2 - 3*f - 3. Let i be b(-2). Suppose -5*q + 27 = -i. Let p = q + 13. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2 + 20*p + 4. Let o be j(10). Let g be 3*(2 + o\/3). Is 10 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (q + q + 0*q)*(2*q**2 - 12*q**2 + 2 + 8*q + 6*q**2) in the form l + n*q**3 + a*q + u*q**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 238 and 102?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c - 4*c + 5*c**3)*(-2*c + c - c)*(-2 + c + 2).\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -5*s + 863 + 4465, 0 = y - 3*s + 1339. Let q = -713 - y. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0618 * -0.069.\nAnswer: 0.0042642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -239\/388?\nAnswer: -239\/388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 780\/18*(9 + 84) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(10\/9)*g)\/g**30)\/(g\/g**(-1\/2)*g**(-26)) assuming g is positive.\nAnswer: g**(-43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) -0.5  (c) 2\/21  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -c**4\/7 + 1242*c**3\/7 + 17560*c**2\/7 + 30144*c\/7 = 0.\nAnswer: -12, -2, 0, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 + 2*v**2 - v**2)*(-4 + 5 + 0) + v + 6 - 3*v**2 - 32*v**2 + 27*v**2.\nAnswer: -7*v**2 + v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*n - 27 = -13*n - s, 2*s + 6 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -26 - (2 + 8\/2). Suppose f = -5*m - 92, 3*f = -4*m + 6*m + 30. Let p = m - a. Solve 0 = h - 4*u + p + 3, 0 = -u + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 3*d. Let w be r(1). What is the third derivative of 2*x - 2*x - 2*x**3 + 5*x**w - 5*x**2 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453932001 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8345279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2700 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2\/9, -2.6 in increasing order.\nAnswer: -2.6, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, e: 4, k: 2}. What is prob of picking 1 r and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**2 + 23*l**2 - 25*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 9 = 0, -3*y = y - 2*r - 14. Calculate the remainder when y is divided by (5 + -1)*(-2)\/(-4) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 12:21 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzggggzgggzggz. What is prob of sequence gzzz?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*d + 2. Let w be 1*0\/3 + d. What is the units digit of -6*((-5)\/w + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 699308198.\nAnswer: 2, 349654099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -4*o**4 - 2*o**3 + 2*o**2 - 21*o. Let x(r) = 5*r**4 + 3*r**3 - 3*r**2 + 20*r. Let c(p) = 3*j(p) + 2*x(p). Find the second derivative of c(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166238*m - 85*m**3 + 79*m**3 + 166238*m.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -5*t**3\/3 - 557452*t**2\/3 + 111491*t = 0?\nAnswer: -111491, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14821405 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 7 - 4 = 0. Suppose 0 = -i - 2*i + w. Let v be (i*23)\/((-2)\/(-2)). Solve 8 - v = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-864)\/5544*14\/(-16)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + 3. Let o = 50 + -48. Suppose 4*d - d = 5*z + 37, 5*d - 41 = -o*z. Is a not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**(-23)\/f*f))**39\/(f**(6\/17)\/(f**(3\/10)\/f)))**(3\/5) assuming f is positive.\nAnswer: f**(456933\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {g: 2, k: 2, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 + 4*q**2 + 2*q - 5. Let a be t(4). Suppose 2*o = 4*o - a*b - 43, 0 = -2*o + 2*b + 44. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/8448 and -61\/6179712.\nAnswer: 12359424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.2  (b) 2\/11  (c) 0.03  (d) 0  (e) 4768  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1052 divided by -2.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 30*s**2. Calculate the remainder when 117 is divided by n(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 170 + 17. Let z = -189 + u. Which is the biggest value?  (a) 11  (b) 2\/9  (c) z  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 5*d**2 - 303*d + 2157. Give a(7).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j + 0*j - 2*j + (-2 + 2*j + 2)*(3 - 2 + 0) + (-2*j - 2*j + 7*j)*(1 + 0 + 2).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110010110 (base 2) to base 4.\nAnswer: -112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 + 7*o + 1. Let x be c(7). Let s be (-2 - (-2 + -111)) + x. Round s to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 - 4*x + 5. Let y be w(-6). Suppose 90 = 3*t + u + 2*u, 3*t - 2*u - y = 0. Let p = -21 + t. Solve -f - p*f + 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 + 5*h**2 + 5*h - 1. Let r be y(-4). Let v be 10\/r + 1*2. Suppose 88*q = 144 - 87 + 119. Solve 4*l = 3*d - 17, -q*d + 2 = 2*l - v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1403323412 - 3?\nAnswer: -1403323420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 13*t + 554. Give v(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -39*a - 133. What is the units digit of s(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 21 - 3 = 0. Suppose -3*q - k = -73, 0*k - 2*k = 2*q - 50. Let c = q - d. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 4*m + 48, -322*m = 2*o - 14675 + 16299 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -445, -892, -1337, -1780, -2221, -2660, -3097?\nAnswer: -3532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, j: 2, i: 4, o: 1}. Give prob of picking 2 i and 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5 = w, 4*f + 3 = -w + f. Let q(m) = -m**2 + 8*m + 12. Let t be q(9). Suppose 2*j + t*i = -2, -i - 5 + 3 = w. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/3 + 738*m**2 - 204610*m + 611618\/3.\nAnswer: -2*(m - 553)**2*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 12:51 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2 - -2)\/1)\/1. Suppose -4*u + 1786 - 2 = y. What is the remainder when u is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/24*(-651)\/1519.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43713*y**2 + 87436*y**2 - 43722*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 1469 + 1303 = 0. Let t be 12\/(-22) - (-15960)\/p. What is the greatest common factor of t and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 39, -21\/20, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from izglz. What is prob of picking 1 l, 1 z, 1 g, and 1 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbsbbsbbbbbbb?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27 - 23. Let j be ((-4)\/7)\/(u\/(-14)). Suppose -5*a - 166000 = -2*t, -a = -2*t + j*a + 166000. What is t rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -546 = -20*u + 14*u. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/80)\/((45\/(-6))\/(-5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9594929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 26 + (0 - 0 - (-40 + -38 + 69))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 4*k - 11. Let x be l(-7). Let m be (-6 + x)\/((-1)\/(-8)). Is (5 - 1) + m + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/13)*g*g**(-4)\/g)\/(g**15\/(g\/g**15)) assuming g is positive.\nAnswer: g**(-431\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 30*q + 25. Let x(o) = 8*o + 6. Calculate -6*u(h) + 22*x(h).\nAnswer: -4*h - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1146524067.\nAnswer: 3, 13, 9799351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -656700 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -87*d + 77*d - 110 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194618?\nAnswer: 2, 31, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2223341 + 3?\nAnswer: 2223344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2398*v**2 - 2 + 2.\nAnswer: -2398*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of w**5\/12 - 5*w**4\/4 + w**2 - 17. Factor i(b).\nAnswer: 5*b*(b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + (sqrt(78)*-3 + sqrt(78) - sqrt(78))*-2 + sqrt(78) + sqrt(78) + sqrt(78)*1*-2)\/(sqrt(24)\/(sqrt(28)\/(5*sqrt(7))))*-6)**2.\nAnswer: 29952\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -249911 + 67163. Let y = d + 48348. Round y to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -310.5727 + 0.0727. Let i = 310 + r. Sort i, -0.1, 0, -6\/7 in ascending order.\nAnswer: -6\/7, i, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7374.\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 9:08 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 772*x + 6736 - 5*x**2 - 4720 + 878*x + 6359.\nAnswer: -5*(x - 335)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*f**3*n**3 + 1035*f*n**2 + 180*n**3 + 5*n + 25 wrt f.\nAnswer: -21*f**2*n**3 + 1035*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -26*u**2 + 1169*u + 79. What is the least common multiple of k(44) and 117?\nAnswer: 15327","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -185 - -184.9. Let a = 130\/7 + -19. Sort 2, a, h, 5 in ascending order.\nAnswer: a, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -1 - ((-8 - (5 + -8)) + -5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*t = -5*t + 474, -5*z + 774 = 3*t. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -5*s + 85. Let c(k) = 2*k. Give 2*c(u) + z(u).\nAnswer: -u + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.033 + -36.\nAnswer: -35.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (((sqrt(99) + 1)*1 + 0 + sqrt(99) + -4)**2 - (-1 + sqrt(99) + -5 - (sqrt(99)*1 + -2))**2))*-5.\nAnswer: -1940 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -401150274, -401150278, -401150282, -401150286?\nAnswer: -401150290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*i**3 + 6*i**3 + 6*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 158 or 1\/535?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 301 + 4244204?\nAnswer: 4244505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -46*h**2\/5 - 139*h\/5 - 3\/5.\nAnswer: -(h + 3)*(46*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-105)\/(-20))\/21*(-44)\/66*-2*165?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/6 - (-20)\/12. Let a be (3\/(-7))\/((-3)\/z). Let m = -9 - -7. What is the nearest to a in -4, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53165116?\nAnswer: 2, 19, 699541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7087769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 968, 944, 886, 776, 596, 328, -46, -544?\n\"Answer: -3*w**3 + w**2 - 6*w + 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/9110310 and -83\/52308?\nAnswer: 54661860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that y**4\/4 + 135*y**3\/4 - 4653*y**2\/4 + 48037*y\/4 - 39930 = 0.\nAnswer: -165, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4659 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78196?\nAnswer: 2, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1439, -3087, -4735, -6383, -8031, -9679?\nAnswer: -11327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -282111593\/804 + 350885. What is the common denominator of -79\/28 and j?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062885 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 3*h + 5. Suppose -a - 2 = -29. Suppose c - a + 9 = 0. Suppose -14*f + c*f = -16. Calculate l(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o - 4 = 4*k - 37 - 3, -41 = 2*o + 5*k for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 220630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 364259416.\nAnswer: 364259414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 563*d**2 + 420*d**2 + 188*d**2.\nAnswer: 1171*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 533\/22 + -30\/11. Let n = 108\/5 - t. Which is the second biggest value?  (a) -2\/15  (b) -4  (c) n  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 204 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 17*q**2 - 12*q - 12. Let f(t) = -60*t**2 + 42*t + 42. Let s(b) = 5*f(b) + 18*j(b). Let x(i) = -i**2 + i + 1. What is 2*s(o) + 11*x(o)?\nAnswer: o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that a**3\/4 + 82465*a**2\/4 - 103089*a - 123705 = 0.\nAnswer: -82470, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 5*h**5\/4 - 115*h**4\/4 - 265*h**3\/4 + 355*h**2\/4 + 130*h - 125 = 0.\nAnswer: -2, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34.73808 centuries to millennia.\nAnswer: 3.473808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 21 = 5*t, -3*u = 3*t - 0*t - 12. Let c be (-9)\/(-6) - (-50)\/(-28). Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5356\/((-1482)\/(-57)))\/(((-24)\/4)\/(-3))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 + 25. Suppose -3*x + p = -96. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + -1)*6\/4. Let l(z) = -z**2 + 6*z - 3. What is the remainder when 22 is divided by l(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3079268*i**4 + 4447525 wrt i?\nAnswer: 12317072*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -20*n - 18*n - 6*n - 28. Let r(m) = 8*m + 5. Let j(b) = -28*r(b) - 5*u(b). Let g(p) = -5*p. What is g(j(c))?\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12 - 6 + 84)*(0 + 0 - z) in the form m*z + c and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d + 95. Calculate the remainder when 530 is divided by p(-6).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*m - 2*m**3 + 5*m - 6*m**3 + m**5 + 0*m**3 wrt m?\nAnswer: 20*m**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 14 = 26. Let b(i) be the second derivative of 2*i**4\/3 - i**3\/6 + i**2 - 2*i. Does 33 divide b(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -408943*a**2 - 403334*a.\nAnswer: -817886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 5 = -w - 7*z, -10 = -2*w + 3*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11.3 - -10.3. Let v = -0.4 - 0. What is the nearest to a in -1\/2, -2\/19, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 21?  (a) -3\/10  (b) 4  (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31 by 4005.\nAnswer: -31\/4005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 681741209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134, 277, 472, 719, 1018?\nAnswer: 1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.31 + -0.31. Let r = h + -1. Which is the closest to -0.1?  (a) 1\/5  (b) 1\/4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/9)\/(1337\/1719)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -208 + 122. Let j be ((-9)\/(-12))\/((-3)\/q). Let i = 22 - j. What is the closest to -1 in -0.4, i, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.05096229 + -0.050619. Round s to 6 decimal places.\nAnswer: 0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of j**2\/2 - j - 1. Let f be q(3). What is the derivative of -5*o - 2 + 4*o**f + 5*o wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -21*v + 30*v. Let n = 11 + 1. Suppose 0 = -2*s - 2*s + n. Solve -2*h + s*h - 16 = -4*x, -v*x - 3*h + 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -94284 by 486.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -58 + 130. Let g be 39\/(-10 - 1236\/(-120)). Let r = g - z. Calculate the highest common divisor of r and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-94 + 55 - -47) + -19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -32*r + 28*r + 12. Solve -8*y + r = -7*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(1\/3)\/q)*q*q*q**(-10) assuming q is positive.\nAnswer: q**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of 766*i + 67 + i**2 + 6*i**3 - 406*i + i**2 - 46*i**3 - 382*i. Find the second derivative of z(g) wrt g.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91139.\nAnswer: 91139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from veeiwwywewecw.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4727?\nAnswer: 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*x**5 + x**3 + 74*x.\nAnswer: 520*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 23224246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*q - 19 - 1, 0 = -m - 4. Suppose -2*w + x = -3 - 2, -2*x = q*w - 20. Solve 0*g - w = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -b - 13, 6*i = 10*i + 2*b - 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 59395 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1548.4 - 1548. Suppose -4*p = -5*p + 13. Put a, p, -2\/5 in descending order.\nAnswer: p, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/8 + 3\/4. Let s be (-4)\/k - 42\/(-7). Find p such that -4*p - 5*p**2 - 10*p**3 - s*p**2 + 2*p = 0.\nAnswer: -1\/2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 + -14.00000013. What is a rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6306, -12747, -19424, -26457, -33966, -42071, -50892, -60549?\nAnswer: -71162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*q + 7. Let l be (-2)\/q + (-6)\/(-15). Solve 0 = -2*f - l + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 * -8.1.\nAnswer: -97.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/9750 and 119\/7140822?\nAnswer: 892602750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = o - 2*u + 7*u + 28, 0 = o - u - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 g, and 1 j when three letters picked without replacement from jddsjgsjdgdy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -326*c**5 + 57*c**3 - 30302*c**2 wrt c?\nAnswer: -19560*c**2 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.015?  (a) -1\/6  (b) 26  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/508 and -7\/12?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 43\/4 - 9\/12. Solve 2*t + 5 - i = -3*s, -s - 5 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2525647 and -274.\nAnswer: -692027278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bdi when three letters picked without replacement from ddiab?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*c = 835*c + 597*c - 21565 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -5*v**2 + 10*v - 5. Let i(l) = 4*l**2 - 9*l + 4. Let r(k) = 3*f(k) + 4*i(k). Suppose 0 = u + 1 + 2. Let y(w) = -w. Let c be y(u). Give r(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 404 - 168*n - 204 - 225. Is o(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 9 = 5*u, 2*u - 5*j = -j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**5\/3 - 11*v**4\/3 + 9*v**3 - 25*v**2\/3 + 8*v\/3.\nAnswer: v*(v - 8)*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 3*w + 6)*(2*w + 0*w - 4*w) + (-5*w + 3*w + 4*w)*(-w - 2 + 2).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1261 - -1?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((15\/6)\/5)\/((-4)\/(-32)). Calculate the greatest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**4\/11 - 1530*p**3\/11 + 42674*p**2\/11 - 74598*p\/11 - 10800 = 0. What is p?\nAnswer: -792, -1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (141\/282)\/((-15)\/(-30) + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -3*o + 19. Let j(d) = d**3 + 13*d**2 + 20*d + 13. Let r be j(o). Calculate the greatest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 16, 53, 116, 205, 320, 461, 628?\n\"Answer: 13*f**2 - 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - g + 2)*(-g**2 - g**2 - 5*g**2).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -14*k + 2. Let x(l) = 9*l - 1. Let t = 81 - 86. Let j be (3\/2)\/((-6)\/32). Give j*x(y) + t*s(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 671699?\nAnswer: 7, 95957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(448) + 0)*4 + 6*(-1*sqrt(567) - sqrt(567))*-3)**2.\nAnswer: -14240*sqrt(7) + 887552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 123, 212, 361, 570, 839, 1168?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-10)\/4)\/(2\/(-4)). Suppose 4 = -4*m + o*d - 8, -5*m - 2*d = -18. Solve -m = -3*p + 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 4*s - 3*i + 1788, -4*s = 4*i + 2344. Let d be (331 - 1\/(-1))\/(-1). Let f = d - s. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 9*u**2. Let o(v) be the first derivative of 301*v**2\/2 - 1933. Determine s(o(i)).\nAnswer: 815409*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 42488 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 353311, 353732, 354157, 354586, 355019?\n\"Answer: 2*q**2 + 415*q + 352894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36713 + 36694 + 9*l - l.\nAnswer: 8*l - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 22518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -77264, -89402, -101540, -113678?\n\"Answer: -12138*g - 65126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49, -201, -455, -811, -1269, -1829, -2491?\nAnswer: -3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 158146620 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p - 3*p)*(3 - 3 + p) - 3*p**2 - p**2 + 3*p**2 - 5 + 5 - 9*p**2 + (-2*p + 5*p - 4*p)*(-p - 3*p + 2*p).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wppwwwppwwppwwpwpppp. Give prob of picking 3 w and 1 p.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-12)\/112 - 1\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/2))**(-35))**(2\/69) assuming l is positive.\nAnswer: l**(-35\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**5 + 4287222*b**4 - 2297514767088*b**3 - 20677877276072*b**2 - 55141211856960*b - 36760853635200 = 0.\nAnswer: -4, -1, 1071810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 530415.\nAnswer: 3, 5, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -9 - 2*d - 1\/3*d**3 - 1\/2*d**2. What is f(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 4*v + 62 = 0, -5*g + 3*v + 48 = -7. Suppose 0 = z + 5, 10*z - g*z = 5*u + 5. Solve 0 = -u*b + 5 + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**6)\/s**(-5\/2))\/((s*s*s**(4\/5))\/s**(-2))*(((s*s**(1\/4))\/s)**(-2\/35))**(-20) assuming s is positive.\nAnswer: s**(-491\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.143556 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pu when two letters picked without replacement from ppuu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 7*j + 1. Let u be z(-8). Let o = u - 5. Solve o*h - 5 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -47\/931 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -236331 - 1589723 - 2*r**2 - 3708794 + 3*r**2.\nAnswer: r**2 - 5534848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**5\/17 - 14*u**4\/17 + 46*u**3\/17 + 222*u**2\/17 - 252*u\/17 - 864\/17 = 0. Calculate u.\nAnswer: -8, -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, d: 3, c: 5}. What is prob of picking 1 d and 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1017398.\nAnswer: 2, 307, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/21, 0, 15, 270, 4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.2559 less than 0?\nAnswer: 20.2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.14 - -0.06. What is the closest to q in 1, -1\/3, -4\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 20*c**2 - 14*c - 19. Let a be b(-9). Let d = a - 576. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 9, d: 2, j: 1, i: 8}. Give prob of sequence dj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155098?\nAnswer: 2, 77549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 15) in base 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -187486.476?\nAnswer: -749945.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -10133?\nAnswer: 10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p + 2*p - 885 + 892)*(30*p - 30*p - 3*p**3)*(-p + 2 - 2).\nAnswer: -6*p**5 + 21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 32*x - 10*x + 19*x - 93 with respect to x.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m**2 + 14*m - 8. Let i be t(-16). What is the highest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -238 + 272.4. Round z to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {g: 2, f: 4, v: 14}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d + 3, -5*d - 9 = 3*u - 8*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -13*b**6\/6 + 2*b**3\/3 - 12. What is the third derivative of d(m) wrt m?\nAnswer: -780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -358768, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*k**6 + 51*k**4*l - 259*k**2*l - 3*k**2 wrt k?\nAnswer: 360*k**3 + 1224*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43845911 is divided by 5742.\nAnswer: 5741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 212 - 29. Suppose 2*z = 5*z + 2*x + 35, 4*x + v = -5*z. Which is the smallest value?  (a) z  (b) -4  (c) 1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112 - 129 + 136 - r**2.\nAnswer: -r**2 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 11663969 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*b - 5*b - 1, -5*x - 3*b - 22 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 204596136 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of -y**5\/210 - y**4\/42 + 3*y**2. Let q(r) = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 13172719.\nAnswer: 26345438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12516639 a multiple of 1621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.005213 in -3\/2, 19, 10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 443 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 8:16 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 115 + -98. Solve 0 = 4*r - b + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 39 + -38 - (-1 + (0 - 2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3242851 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-69)\/(-12) - 2\/(-8). Let o = 10 - 28. Let s = -15 - o. Solve -g - 6 = -3*c, s*c + d = 3*g + 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {f: 1, s: 1, o: 4, x: 5, y: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237 is divided by 64.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 690446 divided by -2?\nAnswer: -345223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 621*t - 620*t - 8 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1994)\/(-18) + 504\/81 + -6. Suppose -896 - c = -v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-2)*3*-2*((-207296)\/(-474))\/(-16)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - 4. Let p = -4.4 + -1.6. Let h = p - t. Which is the second smallest value?  (a) h  (b) 4  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -433*d**3*i**4 - 2*d**3*i + 232*d**3 + 35*d*i**2 wrt i?\nAnswer: -10392*d**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -22, 0, -4110.\nAnswer: -4110, -22, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 3*v + 3, -6*p - 5*v = -3*p + 5. Suppose 0 = -14*i - p*i + 378. Solve -5*w + i - 2 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.5 and 389?\nAnswer: 2139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8833 is divided by 4348.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 12) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.019971 to 4 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*v + 4, -1 = -5*w - v + 1. Put 5, -8, w in decreasing order.\nAnswer: 5, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -1827*i + 9147. Let u be s(5). Solve -42*h = -44*h - 3*x + 8, -2*h = -2*x + u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 26058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 divided by -67117?\nAnswer: -28\/67117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 596754*y**2. Let j(u) = -4*u**2. Determine t(j(h)).\nAnswer: 9548064*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -44  (b) -67172  (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -508*z**3\/3 + 2846*z + 2180. Differentiate f(x) with respect to x.\nAnswer: -1016*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 89*i - 1153. Let x be 144\/20 + 2\/(-10). Suppose x - 55 = -4*s. Calculate the lowest common multiple of s and d(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence efze when four letters picked without replacement from zeffzzeefeefezffe?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -255*h**3 + 114*h**2 - 114*h**2 + 130*h**3.\nAnswer: -125*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 7:36 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-2))\/(-2*5\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 3*o + 3*j - 0, 6 = -2*o + j. Let p(t) = t**3 + 5*t**2 - 4. What is p(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -160, -167, -178, -193, -212?\n\"Answer: -2*u**2 - u - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 4 - 12. Let g be t\/9 - 4\/(-18). Let p = 3.2 - 3. Which is the second smallest value?  (a) g  (b) -0.1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o. Let a(t) be the third derivative of 7*t**2 - 2\/3*t**4 + 0*t + 0*t**3 + 0. What is a(p(r))?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) -0.1  (b) -1\/3  (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1188444 is divided by 225?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -5.4, 6151?\nAnswer: 6151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1274 a factor of 619750460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-6))\/(-4 - (-429)\/108). Suppose -z*r - 847 = -5*r. Let v = r - -312. List the prime factors of v.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of j**4\/3 + j**3\/6 + 2*j. Let q be r(1). Solve q*w - 7 = -2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 - -25. Let o(y) = 3*y**2 + 5*y - 2. What is the remainder when 59 is divided by o(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/250 and 17\/4662.\nAnswer: 582750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.7*-370039.\nAnswer: -629066.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f**2 - 3*f**2 + 0*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 + 6*y + 4. Let j(o) = o**3 + 8*o + 6. Determine 6*j(p) - 7*w(p).\nAnswer: -p**3 + 6*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 501, 5, 366, 3, -5, 70 in increasing order.\nAnswer: -5, 3, 5, 70, 366, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1936, 228, 5 in decreasing order.\nAnswer: 228, 5, -1936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 92*y**2 + 59*y + 13. What are the prime factors of d(-8)?\nAnswer: 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 6:59 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154 + 44 = 2*v. Let w be (-11)\/v + (-2059)\/(-5). Suppose 5*z + w = 1157. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -119 + 136. Let v = p + -43. Calculate the common denominator of (86\/(-42) - -2)\/(v\/2769) and -107\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4334)\/4)\/((-38)\/76). Let u = x + -1529. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-63)\/126)\/((-4334)\/8 + 2). Are 0 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51 - 46. Let w = 3 + 9. Let h = x + w. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46 times 0.6\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*l + 64 + 90 = 0, 4*t + 134 = 5*l. Let o = -36 - t. Suppose -6*j = -3*j - 4*a - 20, j = 3*a + 15. Is o bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -68*l + 35. Let u be y(-6). Suppose -107*f = -108*f + u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 497240053 is divided by 477?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/93798 and 55\/179425152?\nAnswer: 1614826368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33\/40 - -57\/10. Is p less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, w: 1, s: 7, r: 2, t: 3, l: 3}. Give prob of picking 2 s and 1 w.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dbbbdbdddbddwdbdddd. Give prob of picking 2 d and 2 b.\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -839487.2 and 308.924?\nAnswer: 839796.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -16680800, -16680796, -16680792, -16680788, -16680784?\n\"Answer: 4*u - 16680804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 5, 10391224?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -1, -36 in descending order.\nAnswer: 13, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3 - 1219*a**2 + 380464*a - 5436060.\nAnswer: (a - 602)**2*(a - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 1340.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of a**4\/12 - 7*a**3\/6 - 13*a**2\/2 + 2*a. Let n(w) = w**2 - 23*w - 316. Let t be n(33). What is the units digit of p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-2 + 3) - 6. Let a = 81 - p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1823444 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 363*w - 183*w - 174*w + 13. Let c be (-2)\/(5 + -3)*1. Let x(y) = -3*y - 6. Let j(v) = 1. Let t(q) = c*x(q) + j(q). Give -6*n(a) + 11*t(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 divided by 23?\nAnswer: 40\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-63)\/14)\/((-4)\/6). Let n = -7 + r. Let h = -2.03 + 0.03. Put h, n, 4 in decreasing order.\nAnswer: 4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(0*l + 5*l - 2*l) + (4 - 2 - 1)*(0 - 2*l + 0) - 1 + 1 - l + 0*l + l - 3*l - 4*l - 3*l + 4*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3 + 0 = w, -3*a + 4*w - 12 = 0. Find the second derivative of a*k**3 - 193*k + 8 + 194*k - k**3 - 8*k**2 wrt k.\nAnswer: -6*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (13*t + 6 - 6)*(-1 + 4 - 4) in the form q + r*t and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 75851651 and 82082?\nAnswer: 75769569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2475, 2496, 2527, 2574, 2643, 2740?\nAnswer: 2871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3743708603 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200032 is divided by 199490?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 416*a*l - 447*a*w - l**3*w + l**3 wrt w?\nAnswer: -447*a - l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(720)*3 + 2 - (sqrt(720)*4 + 5)**2.\nAnswer: -11543 - 444*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 8:56 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*t = 15. Solve -1 = -h - t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 + -0.18902\nAnswer: 55.81098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -18*p**2 + 2*p. Let d be z(-2). Let r = d + 55. Let m = 49 + r. 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: Let l = -36 - -39. Solve 0*r - r = i, 0 = -2*r - l*i - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-168)*1*(-3)\/1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*n**3 - 3*n - 21*n**3 - 5*n + 4*n**3 + 4*n**3 - 2*n**4 - 19*n**2 + 18 to the form p + c*n + a*n**3 + o*n**4 + q*n**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4*a - 1183 = -5286, 4*a + 8 = 0. What are the prime factors of b?\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**4\/2 - 67*k**3 + 390*k**2 - 772*k + 512 = 0.\nAnswer: 2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 5:13 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 346511958.\nAnswer: 2, 3, 13, 941, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*n + 59 = 0, -3*n - 365 + 34 = -5*t. What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1183 divided by -585619.\nAnswer: -1183\/585619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1471801*q**3 + 2 - 2 + 1471956*q**3.\nAnswer: 155*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 19506, 39009, 58512, 78015?\n\"Answer: 19503*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-402)\/18 + (-24)\/9 + 3. Which is smaller: o or -21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-8))\/(105\/56*-2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4\/3 - 434*z**3\/3 + 145*z**2.\nAnswer: -z**2*(z - 1)*(z + 435)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 40*q**2 + 66*q + 1031. What is m(-41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 20*h**2. Let i(u) be the first derivative of -3*u**2\/2 - 386. Give i(r(p)).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 9. Let w(l) = 3*l + 18. Let i be w(u). Solve i = -d - d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 636 (base 7) to base 4\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*u = 3091 + 1350, 4*u + 22219 = 5*q. Is q a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -s + 24, 0 = 4*d - 3*s + 1 - 9. Suppose d*l = l. Suppose l = -3*v - 2 + 8. Solve j - v = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-42) - (-1476)\/21 - 2202\/(-367)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 79  (b) -1  (c) -369.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v + 6. Suppose -2*m - c = -m, 0 = -4*m + 4*c - 16. Let q be l(m). Suppose -7*h + q*h + 291 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 + 29*r**2 + 20*r + 82. Let c be m(28). Suppose 5*a - c = 1859. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**6\/(j\/j**(4\/19))*(j\/j**(-20))\/j*j**(-3\/4)\/j assuming j is positive.\nAnswer: j**(1783\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 5*m - 33. Let d(x) = -36*x + 1. Let w be d(-1). Let g = w + -46. Let t be a(g). Solve t*q - 7*z = -3*z - 23, 5*q - z = -27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - a. Let h(o) = -512*o**2 - 64*o. What is -5*h(q) + 320*v(q)?\nAnswer: 2880*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t**2 + 5*t**2 - 4*t**2)*(t + t - t) + (2*t**2 - 3*t**2 + 0*t**2)*(-9 - 10*t + 9) to k*t + r*t**3 + p*t**2 + m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f + 7. Let s be w(0). Let o = 11 - s. Suppose -o*m + 182 = 5*k, 5*k - 2*m = 120 + 44. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of j**5\/20 + 3*j**4\/16 - 5*j**3\/12 - 3*j**2\/8 + j - 7. Factor k(t).\nAnswer: (t - 1)**2*(t + 1)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 - 1)*(-85)\/5?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 10:48 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q + 351 - 659 + 308.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(108) - (1*sqrt(108) - sqrt(108)))*3)\/(1*sqrt(12)*-4))\/(-5*3*sqrt(3)*2*-4).\nAnswer: -sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*((-6)\/36)\/((-1)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12472325 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/5*(2 - 1). Suppose 3*q + q + 3*y = 4, y + 4 = 4*q. Let x be 4\/(1\/q)*-1. Which is the second smallest value?  (a) x  (b) 0.1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-7)\/(-77))\/((-3)\/9). Which is the second biggest value?  (a) 0.1  (b) -0.4  (c) -6  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + -121?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*z = -36*z + 432. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17027\/7 + -50927\/21. Factor 4 - q*t + 2*t**2.\nAnswer: 2*(t - 3)*(3*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19.797 - 19.897. Which is the closest to v?  (a) -3  (b) -2\/7  (c) -5\/7  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 45\/54 - (-53)\/(-78). Factor i*h**2 + 0 + 2\/13*h.\nAnswer: 2*h*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*d = -22*d + 108. Suppose -d*x = -26*x - 2099. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1004453550 - 155?\nAnswer: -1004454145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 28\/13 - (-24)\/(-156). Suppose 4*v - c*a - 669 - 183 = 0, 2*v = 5*a + 418. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*l + 10 - 21*l - 13*l + 9 - 13*l - 21.\nAnswer: -22*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25075, -49959, -74655, -99163, -123483, -147615, -171559?\nAnswer: -195315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 5 = -z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10024 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1030 (base 6) to base 2.\nAnswer: 11101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 3  (b) 6641  (c) -6\/7  (d) -3\/2  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 374*d = 373*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15.5 - -16.5. Sort f, -4, 3, 33 in descending order.\nAnswer: 33, 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: -30013100212 (base 4) to base 13\nAnswer: -872494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15.02 + -12.1427. What is a rounded to one decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -v + 2*o, -4*o = v + 6 + 10. Let q be ((-12)\/v - (-2)\/4) + 49998. Round q to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2 - 15*k - 2*k - 2 + 1. Let m(y) = -35*y - 6. Let l(v) = 9*d(v) - 4*m(v). What are the prime factors of l(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9190211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8381 - -8405. What is the lowest common multiple of k and 752?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 155*f - 48*f - 361 - 63*f. Let p be n(8). Let g(v) = -v**3 - 9*v**2 + v + 15. Calculate g(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -672473.01 rounded to the nearest one hundred?\nAnswer: -672500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o - 1. Let c(t) = 3 - 2*t - 7 + 5*t - 2*t. Let f(y) = -y**3 - 3*y**2 + 3*y - 1. Let z be f(-4). Let g be c(z). Give v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.4 - 0.4. Let o = h + -8. Let n = 1.8 + o. Which is the second biggest value?  (a) n  (b) 1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70775157 to the power of 1\/2, to the nearest integer?\nAnswer: 8413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**3\/7 + 110*k**2\/7 = 0. What is k?\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 5. Let h = -24 - -28. Which is the third smallest value?  (a) h  (b) j  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -6  (c) -3\/26  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -231.8288 - -232. Let o = l - 0.0132. Which is the smallest value?  (a) 0.2  (b) -0.5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4284*w**3 + 5*w**2 + 0*w**2 - 4294*w**3.\nAnswer: -10*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -306*u**2*v**2 - 10*u**2*v - u**2 + 2*u*v + 7*u + 4*v**3 wrt v?\nAnswer: -612*u**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-19)*i**9 assuming i is positive.\nAnswer: i**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 312, -151, -5, -1, -7, -2 in increasing order.\nAnswer: -151, -7, -5, -2, -1, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4922 - 2739. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 61*d**2 - 2. Let v(x) = x + 1. Let z(f) = h(f) + 5*v(f). Let i be z(-6). Let w = -769 + i. What is w rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/8 - (-173)\/4. Suppose 17*r = 940 - 328. Let j = v - r. What is j rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -11 + 11 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o - 1. Let h = -8 + 11. Suppose -5 = -h*b + 3*j - 2*j, -6 = 2*b + 4*j. Let i be v(b). Solve 3*z = 4*q - 26 - 1, i = 5*q - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 5 - 7*k - 7 + 1. Give g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - (7 + -3)\/4. Suppose g - 2*g - n = 0. Is g smaller than 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(((sqrt(140) - (sqrt(140)*-1 + sqrt(140))) + sqrt(140))*6)\/sqrt(10))\/(-5*1*sqrt(288)*6) + -2.\nAnswer: -2 - sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qkyq when four letters picked without replacement from dqqybyybybxk?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -l, -4*y = 2*l - 2600 - 944. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.9 - -872.1.\nAnswer: 869.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 a when four letters picked without replacement from {s: 4, a: 4, f: 1, y: 2, e: 3}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 15. Suppose n*m - 42 = -0*m. Let i = m - 2. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + ((-60)\/(-16))\/3 + 75\/(-100). Let q(g) be the second derivative of -o*g**2 + 0 + 1\/6*g**3 + 5*g. Give q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 0, -4, 2\/11, -2062?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/143380 and 53\/16.\nAnswer: 573520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((b*b**(-1\/12)*b)\/b)\/b)\/b)\/(b**(-23)*b))**24)**(1\/87) assuming b is positive.\nAnswer: b**(502\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - (-23 - 1)) + 0 + 16.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55582?\nAnswer: 2, 27791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -2*p + 0*p**2 + 1\/12*p**4 + 0*p**3 + 0. Let s(c) be the first derivative of c**2\/2 + 1. Determine r(s(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 5*u + 10*u - 25 = 0, 2*c + 5 = 5*u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4647*c**2*s**3 - 8*c**2*s**2 + 255*c**2 wrt s?\nAnswer: -27882*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 16 = 2*q, -1604*u + 1603*u - q = 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 93 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**4\/9 - 288*s**3 + 278200*s**2\/3 + 3380000*s\/9 = 0. Calculate s.\nAnswer: -4, 0, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 52\/29 + -1293\/58. Calculate the common denominator of x and -17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + t = 9, 3*i + 5*t = -0*i + 1. Suppose -i*s = 1 + 3. Let p(u) = -u**3 - 2*u**2 - 2*u - 1. Let w be p(s). Solve -w*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 106878 (base 9) to base 16.\nAnswer: fa8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 202 times -0.5\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*d**2 + 24*d**2 + 51*d**2 + (d**2 - 2*d**2 + 3*d**2)*(1 - 3 - 1 + (2 + 2 - 6)*(2 - 6 + 3)) in the form y*d**2 + q + b*d and give y.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 647, 653, 647, 623, 575?\n\"Answer: -s**3 + 13*s + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4368184109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or -3.206?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f - 1. Let v be b(-3). Let k be v\/(-3) - (-4)\/(-12). Let c be 336\/(-1026) - k\/18. Put 0, -5, c in decreasing order.\nAnswer: 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 9:12 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 4, -2\/11, 0.1, 5\/2718, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.9 - 3.7.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -4*w**3 - 2*w**2 + 4. Let k(d) = 4*d**3 + 2*d**2 - 3. Let x(t) = -4*a(t) - 5*k(t). What is the remainder when x(-2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 2*z + 2 = 0, 2*d + 2*z - 1 + 3 = 0. Let p be (8\/(-12))\/(d\/3). Suppose -5*r + 21 = 2*h, 0 = -h + 5 - p. Solve r*m + 0 - 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3872 divided by 22.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 2*c + 4*c)*(-30*c**2 + 495 - 495).\nAnswer: -150*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1983 + -15\nAnswer: -1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000171081 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83065 is divided by 2371?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o - 1. Let l(v) = 2*v + 3. Let r(w) = -w**3 + 10*w**2 - 10*w + 13. Let u be r(9). Give u*l(q) + 12*g(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 43. Let q = 29 - i. What is the second biggest value in -8, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.5, 0.15, 17, -0.1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -9 + 40 + 0 + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35935*m = -35875*m - 600 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k - 16. Determine g(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/18)\/((-2)\/(-8)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 - 3*r + 1. Let a = -22 + 24. Let w be n(a). Is (-1)\/(w\/(-85)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*b + 20*b = -3724200. Let p = b - 2373400. Round p to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 - -22. Suppose 6*u - f = 77. What is the smallest common multiple of -15 + 17 + 2 + (-4 - -2) and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (2574\/33)\/((-3)\/2) + (-23 - -27)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27070197 is divided by 2874.\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 6. Let i(h) = 19*h - 11*h**2 + h**3 - 10*h**2 - 470 + 511. What is the smallest common multiple of i(20) and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of -i**4\/3 + 2*i**3 + 20*i. Find the second derivative of j(f) wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*x, 0*s - 4*x = -2*s + 118. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9761, -19518, -29257, -38972, -48657?\nAnswer: -58306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47\/540 - -22\/135. Factor 0*i - 1\/2*i**2 + 0 + p*i**4 + 1\/4*i**3.\nAnswer: i**2*(i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 61*d - 2534. What is the units digit of v(61)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-79 - -4 - -6) + (-16 - -19 - -7)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -7, 0, -5, -12, -213 in decreasing order.\nAnswer: 4, 0, -5, -7, -12, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ztr when three letters picked without replacement from tzrtrz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12855?\nAnswer: 3, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 6 = -s. Solve n - s*j + 9 = 0, 0*n + 5*j - 15 = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f = 5*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -66 + 77. Suppose -b = -v + 3. Differentiate -4*n**2 + 4 + v - 17 + 5*n**2 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/34228 and -49\/25619658?\nAnswer: 51239316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-240))\/(2\/(-12)*1).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33141 divided by 1?\nAnswer: 33141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 509543327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 17\/5, 2\/15, -5, -3, 1.4, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2216 + -3207?\nAnswer: -cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 670 and 9432595?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 48\/(-8) + 1 + 1230. Suppose -184*z = -179*z - m. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of 0*c**3 + 0 - 3\/2*c**2 + 0*c**4 + 1\/15*c**6 + 0*c**5 - c. Differentiate h(z) wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {j: 3, v: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 955556 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1190061140 to the power of 1\/4, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0302 - -3.0302. Let n = -33 - -100\/3. What is the closest to n in b, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12256 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 0*r - 5*r - 55, 10 = n + r. Let q = n - 11. Suppose 4*i + q*f - 348 = 0, 0 = -3*f + 2*f + 5. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.8 and 3188602.\nAnswer: 8928085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 779694 is divided by 2215.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31581*w**3 + 31587*w**3 - 63170*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*z**2 + 2*z**2 - 18*z**2 + 2*z**2 - 3*z**2 + 0*z**2 + (-5 + 5 + 3*z)*((-3 + 4 - 2)*(25 - 25 - 6*z) + 6 - 6 + 5*z).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88169783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 6:59 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 325413.\nAnswer: 3, 11, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2672 + 9047. Suppose -10653 = -5*c - 2*f, -3*c + 0*f + g = -3*f. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -f**2*i*m - f**2*i - 38*f**2*m + 80*f**2 + 76*f*i*m + f*m - 2*f + 5*i*m wrt i?\nAnswer: -f**2*m - f**2 + 76*f*m + 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of -3*w**2 - 7*w - 60. Let j(i) = 2*i + 2. What is -21*j(p) - 6*y(p)?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1418, 10200, 34040, 80468, 157014, 271208, 430580?\nAnswer: 642660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-30)*2 - (-19064)\/40. What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -288 = 149*l - 197*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/6*(10 - 4). Suppose 5*y = -i + 17 + 3, 0 = 3*y - 3*i - 30. Suppose y*p = -3*c + p + 25, -3*c - 11 = -5*p. Solve c + 1 = -l*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 1487 + 5863. Let h = a - 730. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 539730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 256241 = 18*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -580 divided by -4\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.9614 + 1.0614. What is the third biggest value in f, -0.4, -0.2, 2, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 36*c**3 - 154*c**2 - 716*c + 210.\nAnswer: 2*(c - 7)*(c + 3)*(18*c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/2570496 and 143\/24.\nAnswer: 2570496","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 10 = 3*z, -16*c + 18*c = -5*z - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*u - 7471 = 1549. Calculate the least common multiple of 154 and u.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3102 and 3300.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -347 - -637594?\nAnswer: 637247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -0.4, -0.9, 1\/123, 7\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 5 - 1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 + -20. Suppose 4*i - 16 = 3*l, -b*l - 4 = -i + 2*l. Are 4 and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5b5 (base 13) to base 14.\nAnswer: -50d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2031  (b) -41  (c) 6\/11  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -737\/4 - -2025\/11. Find the common denominator of 67\/88 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10 - 37 - 170*b**2 + 8*b - 6*b wrt b.\nAnswer: -340*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -3*h + 3. Let p be x(0). Which is the nearest to 2\/5?  (a) 2\/7  (b) 0.2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence klha when four letters picked without replacement from {u: 4, l: 4, k: 3, a: 4, t: 1, h: 4}.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48523 divided by -3.\nAnswer: -48523\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u. Let a(j) = -3*j + 18. Let m be a(8). Let k(y) = y. Calculate m*k(i) - 5*x(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 340 (base 8) to base 9\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -y - 20, y = -0*y - 4*s. Let n = -8 + y. Let t = 24 + n. Solve -g + 3 = -t*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4564215 and -537.02.\nAnswer: -536.5635785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (132\/110)\/((-28)\/735*-14)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/2, -60\/7, -222\/17, 7, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 6*l**3 + 7. Let u(k) be the first derivative of 7*k**4\/4 + 8*k + 99. Suppose -r = 7 - 3. Calculate r*u(x) + 5*f(x).\nAnswer: 2*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10282, -3, -2.\nAnswer: -3, -2, 10282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1481.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 197 + -188.9. Let p = -7.81 + -0.19. Let i = p + a. What is the third biggest value in 0, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of 2*k**3 + 2. Let a(f) = -54*f**2 - 79*f + 57*f**2 + 79*f. What is w(a(v))?\nAnswer: 54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.221  (b) 0.2  (c) 1  (d) 10  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 180329 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-218*z**2 + 76767*z - 76767*z)*(z + 2*z - z).\nAnswer: -436*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15471 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 - 4950*x + 39611. Give p(8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 32. Let z = l - 24. Let j = 5.4 - z. What is j rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 3*t**2 + 9468*t - 520012. Calculate i(54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 25a510 + -1?\nAnswer: 25a50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101*j + 1035 = -92*j. What is the remainder when j is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -245*v**5 + 131*v**5 + 150*v**5 + (2*v**5 + 0*v**4 + 0*v**4)*(-2 + 1 - 1).\nAnswer: 32*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -653 + 635 - (0 + 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -21592, -21586, -21580?\n\"Answer: 6*d - 21598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/13?  (a) 2\/13  (b) -61  (c) 4  (d) -8  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 765314228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 101 or 302\/3?\nAnswer: 302\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 330 and 160710.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 14 + 17 = 4*p, 1 = -3*r + 4*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30940*c**3 + 6*c - 1281?\nAnswer: -185640*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6838 - 714*l + 1746 - 3953*l - 1646 wrt l?\nAnswer: -4667","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 257 - 245. Let -r*f**2 + 35 - 12*f + 9*f**2 + f**2 + 37 + 2*f = 0. Calculate f.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 7, m: 6}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5988688?\nAnswer: 2, 374293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -16, -770 in increasing order.\nAnswer: -770, -16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 6. Suppose v*x + g - 89 = 0, -g - 23 = -x - 0*g. Let y = x - 27. Which is the biggest value?  (a) -3  (b) -1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 0.5  (c) 6  (d) -2262  (e) -0.03  (f) 5  (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 0*v**3 - 4*v + 0*v**4 - v**2 - 53\/5*v**5 - 1\/6*v**6 + 7. Find the second derivative of z(c) wrt c.\nAnswer: -20*c**3 - 636*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 5*x**2 + x. Let k be p(5). Let n be (-1)\/k + (-3)\/10. Let q = -1 - n. Is q < -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121 (base 9) to base 6.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6936 and 54621.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2*1)\/(22 - 378\/18). Put c, -185, -1\/2, 3 in descending order.\nAnswer: 3, c, -1\/2, -185","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1776)\/222*(-3)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.05 * -451231\nAnswer: -473792.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 9400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 52224*v - 95712 with respect to v.\nAnswer: 52224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -26. Calculate the remainder when 57 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*a**3 + 3*a**3 + 2*a**3)*(-6*a**2 + 2*a**2 + 3*a**2) - 30*a**5 + 37*a**5 - 320*a**5 + 5*a**5 + 4*a**4 - 4*a**4.\nAnswer: -307*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence occr when four letters picked without replacement from ccrcooo.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 19660 = -0*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + 74 + -73 - (0 - 8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-20))\/((-2)\/(-10)). Is a not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -1\/6777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -353198 - -353198.4. Let b = 3005\/13 + -231. Sort b, q, -5, 2\/473.\nAnswer: -5, 2\/473, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 3 + 38 + 7 + -65.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = u + 43, -5*u + 0*u - 47 = 4*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3783*a**3 - a + 47303 wrt a?\nAnswer: 11349*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(4\/7)\/h*h*h*h\/(h*h**(-2\/5)))**11*((h**(1\/4))**(-9\/7))**(-26) assuming h is positive.\nAnswer: h**(2103\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 5*k = 29, 2*i - 13*k - 6 = -10*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12128 + 12854. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*u**2 - 2*u**5 - 21*u**2 + 0*u**5 + u**5 - 4*u**5 + (3*u - 6*u + 4*u)*(-u**4 - 3*u**4 + 2*u**4).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of 9\/2*v**2 - v - 13\/6*v**3 + 0. Is c(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 17124?\nAnswer: -5\/17124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -241  (b) 10  (c) -1\/9  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 65 = -5*m, 5*c + 0*m + 669 = m + 656 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-12)\/27)\/((-14)\/63). Let y be 1 - (-7)\/((-14)\/(-12)). Let j = y + -6. Is d greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 5*q + 11101 = 0, f + 10*q - 12*q = -3699. What is f rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.078103 - -0.03004. Let j = f - -0.048. Round j to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 206 - 201. Suppose -11*u = -f*u - 184686. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -193.7 - -188.7. What is the biggest value in -0.6, 0.2, n, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34222.299948 + -34227.3. Let w = k + 5. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 2*w**3\/17 - 47640*w**2\/17 - 953600*w\/17 = 0?\nAnswer: -20, 0, 23840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -u - 5*d, -d = 4*u - 9 + 63. Let l be (-21 + -3)*(-10)\/3. Let g be l\/(-25)*(1 + u\/4). Solve -4*p = -3*i, 0 = -4*i + 2*p - g - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 263257510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(114) + (-2*sqrt(114) - sqrt(114))) + sqrt(114) + 5*(sqrt(114) + -1*sqrt(114) - sqrt(114)))\/(sqrt(24)\/(sqrt(24)\/sqrt(6)*6))*6.\nAnswer: -360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 5) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3774, -19\/5, -2\/11, -0.1 in increasing order.\nAnswer: -3774, -4, -19\/5, -2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 81*-7\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of s**6\/120 - s**5\/12 + s**4\/12 + s**3\/2 + 47*s**2. Give r(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*33134\nAnswer: 6626.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6780516 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnzz. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 5*s - 13, 0 = 5*s + 2*g + g - 11. Suppose k + 1 = -s. Does 11 divide (9 + (0 - k))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 156357 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -526395 = 19*b - 526243 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 100288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-27)\/(-12) + -2). Suppose -l - 4*l = -4*l. Solve -i*a - 12 = -l*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2. Let t(l) = 9*l + 13. Let n(a) = -4*a - 6. Let z(f) = -13*n(f) - 6*t(f). What is d(z(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 7*k + 55. Let x(o) = 2*o + 14. Let v(y) = -6*i(y) + 22*x(y). Let g be v(12). Solve -g*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 - -89. Suppose 9*z + 4*m - 219 = 4*z, -z + 3*m = -s. Suppose -g = t + z - 291, t - 3*g = 260. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4081 - 44850\/11. Calculate the common denominator of 1\/(-3 + 459\/151) and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 97074 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by 953\nAnswer: 12\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/6 - 187316*v**2 + 105261476935*v\/2 + 315786678601\/3.\nAnswer: (v - 561949)**2*(v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s - 3*s - 2*s)*(-1120*s**2 + 1 + 0 - 1945*s**2) to the form b*s**3 + p + y*s + l*s**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19490869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 8, c: 2}. Give prob of picking 3 v.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**3 + x. Let l(w) = -114*w**3 + 5*w + 4. Let b(a) = 6*j(a) - l(a). What is the hundreds digit of b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 103 and -9.\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3*3\/(54\/(-12)))\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.8 - 3.8. Let r = -0.08 + 0.48. What is the nearest to -2 in s, -1\/4, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 + (-58)\/(-4))*924\/18. Let d = u + -382. Calculate the remainder when d is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-c**3 + 23*c**2 - 23*c**2)*(1 - 8 + 1)*(40 - 60 - 59) in the form m*c + j*c**2 + n + t*c**3 and give t.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 0.7, -4\/7, -1, 2.057, -38, 0.3, 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 48177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-16))\/((-9878)\/(-1347))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17674 + 17648. Let l(p) = p**3 - 3*p**2 + 2*p - 3. Let g be l(3). Put g, z, 1\/3, 0.3 in descending order.\nAnswer: g, 1\/3, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, j: 2, p: 1, t: 4}. What is prob of sequence tj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + y + 36 = -4*y, y = -4. Let t be (f - 1)*(-8)\/10. Let o(w) = 2*w + 4. What is o(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(-188 - 250 + 12)*(-5 + 0 + 4 + z)*(z**2 - z + z).\nAnswer: -852*z**3 + 852*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 252147952.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1676*s - 54 = 1681*s - 159 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 bigger than 1988652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -273 + -16. Let b = d + 263. Which is smaller: b or -21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 917673 is divided by 522.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 3*b + 8, -8*u + 7*u + 17 = 4*b. Is 1\/(((-4432)\/1478 - -3)\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(3\/2)\/r**(-2))\/(r**(1\/7)\/(r\/(r*r*(r\/r**(5\/2))\/r*r*r*r*r*r)*r)))**(-1\/9) assuming r is positive.\nAnswer: r**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-4*(-9)\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -426*g**4 - 420*g**4 + 3648*g**2 - 14*g + 1272*g**4 - 424*g**4 + 12 wrt g.\nAnswer: 24*g**2 + 7296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 172 + -97. Suppose -3*l - 5*s - b = 0, -l + 3*l = 2*s - 50. Let g = -14 - l. What is the greatest common factor of 44 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 3*u - 3. Let y be d(1). Suppose 3*f - 5 = 2*x - y*x, 0 = -2*x - 3*f + 25. Suppose -6*c = -7 - x. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 40 = 2*a - 26, 0 = -5*a + j + 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 189216631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from tltutututu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide 2249390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 135 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 n, and 1 s when three letters picked without replacement from kxrjsxn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + (-21)\/(-12))*4\/2. What is the nearest to -1 in h, -2, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.7181 * 0.3.\nAnswer: -1.71543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.5 + -0.5. Let f = 0.569 - 0.269. Which is the nearest to m?  (a) 1\/2  (b) f  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -44, -4, 72, 196, 380, 636, 976?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 246?  (a) 18  (b) 0  (c) -2  (d) -5\/9  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -233 + 223. What is the units digit of ((-30)\/c)\/((-1)\/(-11))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 0  (b) 2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b + 7 = 34. Suppose -b*p + 22 = -5. Calculate the greatest common divisor of p and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 - -0.1. Let b = 89\/70 - 7\/10. What is the nearest to f in -0.3, b, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/543 and 10\/3.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -356 - v**2 + 356.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 15 + -27 + 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2338000 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-490)\/(-42) - 12)*(-2)\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h**2 - 4*h**3 - h**3 + 2*h**3 as k*h**2 + t*h**3 + v*h + c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 324511 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 450, 1791, 4036, 7191, 11262?\n\"Answer: a**3 + 446*a**2 - 4*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 945787559 to the nearest integer?\nAnswer: 30754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, -31, -111, -263, -511?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*f - 162*f - 5*s + 142 = 0, -38 = 5*f - s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*s + 2*s + 20, -f + s = -7. Let n be (-12)\/f*(-1 - 1) + -3. Suppose 2*w + w - 393 = n. List the prime factors of w.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/((2 - -2) + -3). Suppose a = 5*w - 20. Solve -6 = -w*m + 2*k, -6*m + 4*m + 5*k - 17 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(10\/13)\/(((y*y*y\/y**14)\/y)\/y*y))\/((y**(-17\/4)\/y)\/y*y*y\/y**(-17\/3)) assuming y is positive.\nAnswer: y**(1771\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -15326 (base 7) in base 6?\nAnswer: -31455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -3*i + 21. Let k be v(6). Let l(x) be the first derivative of 2\/11*x - 2\/33*x**k + 0*x**2 - 3. Suppose l(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39008829 divided by 2294637.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**6 - 26646*b**4 + 21*b**3 - 41249*b**2 - b + 2?\nAnswer: -240*b**3 - 639504*b + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 207 greater than or equal to -1249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5029, -5039, -5049?\n\"Answer: -10*n - 5019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -330*d*h*s + 22*d*z + 199*h*s*z + 807450*h*s - 37*h*z - 101*z with respect to z.\nAnswer: 22*d + 199*h*s - 37*h - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + 7. Suppose -y*k + 250 = -5*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*v - 3 = -4, 4*x = 2*v + 22. Let g = -2 + x. Solve 4*n = -0*n + 2*z + 24, g*z + 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 6, v: 2, f: 1, t: 4, k: 2}. Give prob of picking 1 v and 1 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 54 + 59 - 113 + 6*l + 24*l + 7*l**2 as c*l + t + p*l**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1228\/112 - 10 - ((-52)\/16 + 4).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -782 and 25.1416121?\nAnswer: 807.1416121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -560919, -560921, -560923?\nAnswer: -560925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143 = -28*s - 26 + 29 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of -h**3\/3 - h**2\/2 + 4*h - 1. Let w be f(-3). Let a be ((-40)\/(-2))\/(-1)*w. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5819 and 1587.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -188 divided by -4\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 - 5*n**2 + 11*n + 22. List the prime factors of c(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1144174 divided by -4?\nAnswer: 572087\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43.2 + 2.2. Let o = 40.9999985 + q. Round o to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 20433 + -3?\nAnswer: 20430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 128 - -669. Let j = v - 18. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/9  (b) -0.2  (c) -5  (d) 0.3  (e) 148  (f) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3991188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -r**4\/2 + 161*r**3\/2 + 495*r**2 + 998*r + 668 = 0.\nAnswer: -2, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - 2*z - 1. Let v be m(-1). Let d be 9 + v + 2\/(-2). Let h = d + -5. Solve x + 0 = h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 11:06 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 91\/(-39) - (-644)\/294.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3780\/(-1890)*(-1)\/((-68)\/8)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 at least as big as 948\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 7:09 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, 0.4, 17, 1.4 in descending order.\nAnswer: 35, 17, 1.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 5*r - 4 - 4, -5*h - 2*r = -9. Put 6, 4, h, -2 in ascending order.\nAnswer: -2, h, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-11 + -50 - -101)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5447*w**2*x**5 + 7*w**2*x**3 - 22*w**2*x**2 - 7*w**2*x + 17*w wrt x?\nAnswer: -326820*w**2*x**2 + 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1081812 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from sdsddzssdsdszddzdds.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 0. Suppose -x + d*x = f + 8, 4*x = 4. Let s be (3\/2)\/(f\/(-8)). Solve 5*r = -5*t - 20, -3*r + s*t = -2 + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(147) - ((2 + sqrt(147))**2 + -1)) + sqrt(363) + ((sqrt(363) - (2 + sqrt(363)) - sqrt(363)) + sqrt(363))*2)*5.\nAnswer: -785 - 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/21 - (-416)\/28)*(-1)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 divided by 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 46, 33, -26, -131, -282, -479, -722?\n\"Answer: -23*c**2 + 56*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3766.01979 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 148 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10959?\nAnswer: 3, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8 - 0) + 2 + 0. Calculate the common denominator of ((-36)\/q)\/((-336)\/180) and (-478)\/(-24) - (-2)\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**2\/i)\/i)**(-4\/17)\/((i*i\/(i**(-1\/4)\/i)*i)\/((((i*i*i**10)\/i*i)\/i*i)\/i)) assuming i is positive.\nAnswer: i**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -2\/3, 141, -4, -1353, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1158783 minus -0.846?\nAnswer: -1158782.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24 + -24. Suppose c = 5*n + 11 - 91. Calculate the remainder when (43\/3 + 1)*3 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45492 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - -10 - (-1 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 2*v**2 + 1. Let f(n) be the third derivative of -n**4\/12 - 30*n**2. Give f(z(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -80585683037867 and 1?\nAnswer: 80585683037868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 6, -3.\nAnswer: -3, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/2 - 1979842*d + 1959887172482.\nAnswer: (d - 1979842)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 29.26713 micrometers?\nAnswer: 0.00002926713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k + 187 = -4*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 672, 1347, 2022, 2697, 3372?\nAnswer: 4047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 201*h**2 + 2*h - 100*h**2 - 2*h - 150*h**2 - 81 to g*h**2 + a*h + t and give g.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**3 + 13*i**2 + 47*i - 8. Let y be z(9). Suppose y*o = 6*o - 4. What is the biggest value in -0.15, o, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 15*v**2 - 136*v - 29. What is j(9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0192661 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 148*y - 1056 - 2348. Solve -y*j + 33*j = 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60475796 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (11\/(-2) + 2)*(-2)\/28\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1*0.01098057.\nAnswer: 0.012078627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*6*3*(sqrt(2736) + -1 + -2))**2.\nAnswer: -373248*sqrt(19) + 14230080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cfv when three letters picked without replacement from {c: 2, f: 1, v: 1, r: 2, j: 3, u: 9}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 + (100 + -15 - 69).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 + -80?\nAnswer: -79.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*l + 4*b = 3, -2*b = 2*l - 6. Let m be ((-8)\/10)\/((-6)\/15). Solve -4*g - 26 = -2*f + 4*f, -l*g - 22 = m*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**0\/a*a*a)**(-3\/43)\/(a*a**1*a*a)**(-2\/35))\/((a**0)**14*a**(5\/6)*a**(2\/9)*a) assuming a is positive.\nAnswer: a**(-53273\/27090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5565231088 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 1) + (-15 - -13) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.98 or 102\/5?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5216626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 277 - 168. Suppose 71 + k = 18*b. What is the smallest common multiple of b and 302?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1108\/3*p**2 + 2228\/3*p - 4\/3*p**3 + 372.\nAnswer: -4*(p - 279)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -22*k**2 + k. Let n = 200 + -195. Let c(l) = -l + n*l + 6*l - 12*l. What is c(r(x))?\nAnswer: 44*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p - 5*p + 2*p)*(-2 - 2*p + 2)*(3*p - 3*p - 4*p).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*t + 2*v = 27, -2*t - 86 = 4*v. Let c be (-290)\/(-14) - 10\/t. Calculate the highest common divisor of 168 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6873 (base 13) in base 16?\nAnswer: -3924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101110 - 100100111011?\nAnswer: -100101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**5*i**(-14)*i)**(-3) assuming i is positive.\nAnswer: i**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 37.3 - 35. Let k = z + -2.4. Which is smaller: 4\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 326374.\nAnswer: 9\/326374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/6 - 2413*b**2\/6 - 11845*b + 102564.\nAnswer: (b - 2442)*(b - 7)*(b + 36)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110427377?\nAnswer: 439, 251543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 156215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 47388991613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 48 = -25*t. Let o(s) = -9*s - 3. Let a(k) = 16*k + 7. Let h(c) = t*a(c) - 5*o(c). Suppose 0 = 2*p - 3*z - 5 + 4, -4*p = 5*z + 31. What is h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-38)\/(-2)*(-1302)\/434?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1761)\/12914 - 346\/44?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 299110687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -7*t**3\/3 - 1972*t**2\/3 - 9713*t\/3 - 7748\/3 = 0.\nAnswer: -1937\/7, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*p - 4*p + 63. Let h be ((-24)\/14)\/(6\/p). Let q(d) = -d**3 + 7*d**2 - 4*d - 4. Does 8 divide q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -135 + 137, 4*o - 14 = -3*l. What is the highest common divisor of 265 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 55 = -3*v, 17*v - 94197*t + 94196*t + 35 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(68) + (sqrt(68) - sqrt(68)*-1) + sqrt(68) + 2 + 0 + 4)**2*-3.\nAnswer: -3339 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/4 + 0 - (-6)\/3?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 6 = -5*x, -6 - 3 = q + 4*x. Solve 4*y = 4*n - q - 13, -3*y = -n + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10046, 10045, 10044, 10043?\nAnswer: 10042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 2*l. Let y be f(2). Suppose y = -a + 6*a - 32000. Suppose 2*u + a = 3*u. What is u rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 296336143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54.7 - 55. Let q = -21 - -18. What is the second biggest value in v, 5, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.8016 - 0.808149. What is b rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6656 by -1.\nAnswer: -6656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + u. Let y = -271772 - -271771. Let h(r) = 6*r**2 + r - r + 6*r. What is y*h(t) + 4*x(t)?\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(-2)\/8 + -66 + 59?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*b = 141*b + 777 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -0.9, -1\/6, -1.\nAnswer: -1, -0.9, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -20, 0.2776, -5, -9 in decreasing order.\nAnswer: 3, 0.2776, -5, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.6, 2\/23, 1\/2, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -191 + 189. Sort -19, g, 5 in descending order.\nAnswer: 5, g, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 1 - 1)*(-2*i**3 + 2*i**3 + 2*i**3) - 3*i**4 - 3*i**4 + 4*i**4 + (2*i**3 - i**3 - 2*i**3)*(-74*i + 19*i - 137*i) - 7*i**4 + 4*i**4 + 2*i**4.\nAnswer: 193*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84, 182, 204, 150, 20?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 300116?\nAnswer: 2, 75029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3884.187 + 3882. Let j = m + 0.277. Let l = j + -46.69. What is l rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-0.10042.\nAnswer: -0.040168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57768.4 grams to kilograms.\nAnswer: 57.7684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 73684 and 8788?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41, -58, -85, -122?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 151, 5, 0, -5 in ascending order.\nAnswer: -5, 0, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2110109 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - h + 4)*(-2 - 1 + 1)*(-1 + 3 - 3).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 6*d**2 + 6*d + 7. Let c be t(-5). Suppose c*j - 356 = -70. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = d + 20, -5*d = -2*s - 12. Let r(k) = k + 2*k - 2*k. Calculate the lowest common multiple of r(s) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-1)\/w*w*w*w)**(1\/28) assuming w is positive.\nAnswer: w**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r**3 - 5*r**2 + 8*r + 5. Let g = -12 - -35. What is the remainder when m(-5) is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 32, 90, 192, 350, 576, 882?\nAnswer: 1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2760743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1499187504.\nAnswer: 2, 3, 31233073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1536)\/(-672)*14\/(((-4)\/(-6))\/(1\/(-6)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28.61 - 13.8. Let k = w + -14.809997324. What is k rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1472378 is divided by 953.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/23)*i*i**5)**(-19)*((i*i**5)\/(i\/((((i\/i**0)\/i)\/i)\/i)))\/(i*i*i\/(i**(-6)\/i)*i*i**5) assuming i is positive.\nAnswer: i**(-2959\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-14 + -26 + 43)*(-2)\/(-9)*6\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 3*p - 16 = 0, 5*p = -2*h + h + 20. Suppose -1103 = 16*t - 4543. Suppose -h*c + 3*f = -583, -4*c + t + 265 = f. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 95984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -185971543616 and -4633.\nAnswer: -185971548249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -301098280 and 5.\nAnswer: -1505491400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41206?\nAnswer: 2, 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.298706?  (a) 0.4  (b) -2\/15  (c) -0.4  (d) -1\/8  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*p = -48*p - 5*o + 10, 0 = 3*p - o - 17. Which is the second biggest value?  (a) -118\/13  (b) 2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -10*p**2 - 14*p + 3. Let d(v) be the second derivative of -v**4\/4 - 5*v**3\/6 + v**2\/2 - 2*v - 47. Let j(i) = -2*a(i) + 7*d(i). Determine j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 + -0.2. Suppose 3*m = 9*m + 216. Let j = 106\/3 + m. Which is the third biggest value?  (a) j  (b) d  (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/3)\/m*m\/(m*(m\/(m**(2\/7)\/m))\/m)*m\/(m\/((m**(1\/2)\/m)\/m))*(m**(-3)*m)\/m*m)**23)**(2\/67) assuming m is positive.\nAnswer: m**(-5359\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 PM and 3:00 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -6, -2 in ascending order.\nAnswer: -6, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15003 + 15003. Solve p = 3*y, -4*q - 1 = -5*q - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15741 - -29458. Is v a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 837 by -31.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r**2 - 56*r + 48. Determine c(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*y**2 + 2*y**2 + 0*y**2)*(-1 + 0 + 0) + 0*y**2 + y**2 - 2*y**2 + (-2*y - 4*y + 4*y)*(-y + y + 3*y) as i + p*y**2 + a*y and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 20*z**2 + 2*z + 95. What are the prime factors of i(26)?\nAnswer: 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + -10 + (9 - (-1 - -3)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3809, 7025, 10241, 13457, 16673, 19889?\nAnswer: 23105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -49*r + 100*r - 2*r**2 - 51*r. Let q(t) be the first derivative of t**3 + 1. Give q(w(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 35161979.6+-0.76035\nAnswer: 35161978.83965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p - 4. Let t = -7 + 1. Let q be t - (-5)\/(15\/12). Let m(s) = -3*s - 21 + s - 6*s + 2*s. Determine q*m(k) + 11*x(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - u + 1409 = u, 4*x = 2*u + 1902. What are the prime factors of x?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1 + 5238)*(9\/15)\/(12\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000833566 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1493*a - 1326*a + 1853 + 3396 = 239 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 10 - 5. Let r be 2\/p - 60\/275. Is r smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10493 in 0.5, 2.2, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -269, 113, 4 in ascending order.\nAnswer: -269, 4, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, a: 7}. Give prob of sequence hhha.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 343657100 to the nearest one hundred thousand.\nAnswer: 343700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 846374333 to the power of 1\/2, to the nearest integer?\nAnswer: 29093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03 - 3.97. Let d = 1308 - 1306. Put q, -0.9, d in ascending order.\nAnswer: q, -0.9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -60073 bigger than -63040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 16\/3*v - 40\/3*v**2 + 2\/3*v**5 + 0 + 12*v**3 - 14\/3*v**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 559124796.49628109 - 559124792. Let z = q - 76.49628031. Let t = -72 - z. What is t rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from ttbbtbtt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*u = 9. Let d(a) = 11*a**2 - 9 - u*a**2 + a**2 + 5*a**2 - a. Is d(3) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/10 - (-4)\/10. Let j be (-1)\/(4 - 2)*(0 + 10). Let r be (10 - (-110)\/(-10))\/(1\/j). Solve -4 = -r*s + u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 + 4*y. Suppose -d - 3 = -1. Let b be 9\/(-2) - (-1)\/d. Let j(m) = m**2 + 4*m - 2. Let a be j(b). Calculate i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 14, 12, -12, -70, -174?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2*t**5\/3 - 1097924*t**4 + 1808155664656*t**3\/3 - 330869583315251168*t**2\/3 - 2410874219552*t + 1323478333313705024\/3 = 0?\nAnswer: -2, 2, 548962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -41.510523 less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqd when three letters picked without replacement from {d: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 3*n, 2*n + 229 = -5*d + 196 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 362450, 2, -3.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9\/25 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*m - 2*f, -4*m = -m + 4*f - 7. Calculate the greatest common factor of 9 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*v + v**2 + 2*v**2 + v - 27184*v**3 + 27185*v**3 in the form y*v**2 + n*v**3 + s + b*v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17719369189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 3*z**3 - 2*z**2 + 4*z - 2. Let p be u(2). Calculate the smallest common multiple of p - 1\/(3\/6) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 7*o**2 - 101*o + 99. Let c(a) = -a**3 + 8*a**2 + 102*a - 99. Let n(z) = 4*c(z) + 5*t(z). Find f such that n(f) = 0.\nAnswer: -9, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2)\/i)\/(i**(-7)*i)*(i**(-2\/9))**(-11) assuming i is positive.\nAnswer: i**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 759 = 146498 + 24985. List the prime factors of w.\nAnswer: 3, 7, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -35812 - -214265\/6. Let l = u + 102. Suppose -4*m = 3*o + 6, -2*o - m + 19 = -6*m. Which is greater: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1727, -3452, -5177, -6902, -8627?\nAnswer: -10352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/9))**(-43))**22*(t\/(t\/((t*t**2)\/t))*t**12)**(-17) assuming t is positive.\nAnswer: t**(-250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*k**2 + 4*k**2 - 5*k**2)*(14*k - 2*k + 2*k) + 6*k - 6*k + 4*k**3 as a*k + s + b*k**3 + w*k**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 3*i + 10, -2*c + 4 = 2*i - 0. Suppose -5*r = -2*r. Suppose -3*t = -0*t + 15, r = -u + 2*t + 14. Calculate the least common multiple of u and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/5, 3\/2, -5, -2\/15, -0.038 in increasing order.\nAnswer: -5, -2\/15, -0.038, 6\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8 - (-2 - 2\/(-2)). Let s(u) = -2*u**3 + 2*u**2 - 3*u + 6. Let c be s(2). Let i be -2 + 0 - (-2 + c). Which is greater: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 12112 from -0.2.\nAnswer: -12112.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -16026 < -15627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1)\/(-2)*23*6.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide (14\/(-2) - -22)*(-108)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 356958 and 475944?\nAnswer: 1427832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.696 - -3.566. Which is the closest to 0?  (a) -1\/11  (b) -1\/6  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-3))**(12\/19))**9)**(-44) assuming o is positive.\nAnswer: o**(14256\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.3  (b) 17  (c) -4  (d) -2\/23  (e) -13\/591  (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.8 - 4. Let f = 3.2 + a. Is f greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than 6.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.09982 * 27239\nAnswer: 2718.99698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, b: 2, r: 7}. What is prob of sequence ubrb?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -92 - -90. Let s(k) = -k**2 + 1. Let c be s(p). What is the closest to -1\/2 in -2\/5, -1\/4, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 746, 2140, 4176, 6854?\n\"Answer: 321*s**2 + 431*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (77 + -52 - (5 - (7 - 3)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 919 + -915. Which is the second biggest value?  (a) 8  (b) z  (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-1621.83.\nAnswer: -4865.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.51167962 + 1.59?\nAnswer: 1.07832038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d = 0. Suppose d*x = -2*x. Suppose 4*t - 92 - 128 = x. What is the highest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2693 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 7\/6, -0.174, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -31481, -125971, -283457, -503939, -787417?\n\"Answer: -31498*r**2 + 4*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -31 + 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 233 - 15657?\nAnswer: -15424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 - 12*n**2 - 17*n - 6. Let q be x(14). Let a = q + -145. Solve -4*h - a*t = -13, 0*h + 3*h = t + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1944) + (-1*sqrt(1944)*-2 - sqrt(1944)) + -2*sqrt(1944)*-2)\/((6*((-1*sqrt(96) - sqrt(96)) + sqrt(96)))\/(sqrt(16)\/(sqrt(6)\/sqrt(3)))).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 14*w = 35. Suppose -w = 5*b - 0*b - 5*r, 0 = -4*b - 3*r + 3. Solve -a + b*a + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61451\/21 - 2925. Let t(w) be the first derivative of -4\/21*w**6 - 1\/14*w**4 - q*w**3 + 22\/35*w**5 - 10 + 4\/7*w + 5\/7*w**2. Suppose t(y) = 0. What is y?\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53556 is divided by 229?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b**2. Let k(q) = 95*q. Let l(r) = -37*r + 17*r + 12*r. Let y(d) = 6*k(d) + 70*l(d). Determine v(y(t)).\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 8*y + 11. Let t(h) = 3*h + 4. Let c(m) = 4*m - 23. Let z be c(10). Determine z*t(j) - 6*v(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3451225 to the power of 1\/2, to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 147392659 a multiple of 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6*(1 - (-4)\/(-12)). Let i be (1 - 0\/2) + 8. Suppose 50 + i = -b*a - 5*d, -5*a - 67 = 4*d. Is a less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 52*(-3 - 14\/(-4)). Suppose j + 6 = -n, n - 5*j = 5*n + u. Let g = 7 + n. What is the remainder when 4 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 7 - 13. Suppose 4*d + r = 115, -d + 25 = 135*r - 134*r. Suppose -m = f*m + d. Which is greater: m or -19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -106350655 (base 7) to base 16\nAnswer: -63b14f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**3 + 130*s**2 + 2046*s - 2178 = 0. What is s?\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2775958184\/904177935 - -14\/2945205. Let c = z - -42\/307. Find the common denominator of c and 73\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -180*n**6 + n**2 - 371*n?\nAnswer: -21600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14051528 and 4968.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 1  (c) 2160\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = s + 64, -5*i = 3*s + s - 80. Suppose -3*d = d + 4*w + 4, 0 = 5*w + 15. Solve 2*c + i = -d*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2. Let y(i) be the first derivative of 11*i**4\/12 + 4*i - 11. Let x(a) be the first derivative of y(a). Determine x(l(h)).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -6*a + 43. Suppose -22*i + 114 = -3*i. What is m(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 4:01 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 6*f - f)*(84*f**2 + 282*f**2 + 40*f**2 + 508*f**2).\nAnswer: 2742*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 10, 2.\nAnswer: -2\/9, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/124 and 43\/138?\nAnswer: 8556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8575 and 25026995.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**3\/6 + 4*w**2 - 25*w\/6 = 0?\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 5431*n + 16 = 5435*n, -38*y + 2*n - 8 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*c + 8*c - 2*c - 23*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 119\/1 - (12 + (-10)\/2). Solve -60*n + y = -368 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -281*b**3 - b**2 + b**2.\nAnswer: -281*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9957119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 1. Let z(n) be the second derivative of n**3\/3 - 3*n**2\/2 + 8*n. Suppose -8*p = -5 - 11. Let d(m) = m**2. Let q be d(-1). Determine p*l(v) + q*z(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2231087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxnxnxxnxxxnxw. What is prob of sequence nnw?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 298 = -5*u, -2*s - 3*u + 54 + 145 = 0. What is the remainder when s is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d = -348329 + 104841. Let b = d - -6391543\/210. Calculate the common denominator of b and -83\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 330\/(-175) + ((-243)\/45 - -6)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of -g**6\/180 - g**5\/30 - 2*g**3\/3 + 2. Let i(l) be the third derivative of r(l). What is x in i(x) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -229 - -15803\/69. Are f and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ktkkqteeqkktkettkkkq. What is prob of sequence kqtk?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2965\/38 + 256\/19. Let i = -92 + g. Let x = 53 + -52.5. Which is the nearest to i?  (a) -2\/7  (b) 1\/3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 8*x**3 + 2*x**2 - 2*x - 1. Give a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3615?\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 - -25. Let g = -171\/4 + 42. What is the third biggest value in 0, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -384 divided by -3.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1296)\/39204)\/((-20)\/1210).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - -5 - (-2)\/18*0. Let s be (-1100)\/b*(-3 - 63\/(-15)). What is s rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -5*f**2 + 0 - f**3 + 0. Let z be i(-5). Suppose -15 = b - x, 5*b + z*x = 2*x - 78. What is b rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -248854, -249034, -249228, -249442, -249682, -249954, -250264?\n\"Answer: -d**3 - d**2 - 170*d - 248682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from omlfcooloo.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.03 and 119.79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -m**2\/3 - 3910*m\/3 - 2272000\/3 = 0.\nAnswer: -3200, -710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - 1 + 1)*(-5*s + 6*s + 0*s)*(9*s - 2*s - 2*s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w - 1. Suppose -7*j = -4*j + 3. Let m be g(j). Factor -1\/2*s**3 + 0*s + m + 1\/4*s**2.\nAnswer: -s**2*(2*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6 - (-13 + 3 + 1)) + 19586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3*y + 5, 3*v + y - 88 = 0. What is the remainder when 121 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 15, 0, 1 in increasing order.\nAnswer: -2, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*p - 59*p - 53 = -3*w, 2*w = -p + 28. Let c(b) = 7 + 3 + 9 - p. Let t(d) = -d - 7. Calculate 7*c(v) - 3*t(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2702 = -78*p + 28. Calculate the remainder when p is divided by 1\/(34\/(-18) - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*231.\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of -q**7\/210 + 31*q**6\/120 + q**5\/20 + q**3\/3 + 2*q**2 + 7*q. What is the third derivative of v(h) wrt h?\nAnswer: -24*h + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 714 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18*(-16)\/144)\/((-1)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of ((-39)\/12)\/(2\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1222, 2586, 3982, 5410, 6870?\nAnswer: 8362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 95390 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i\/i**22)**42)**(-3\/13))**47)**(-3\/4) assuming i is positive.\nAnswer: i**(-186543\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 303.5 - 241. What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - n - 25571, -2*v - 2*n = -3*n - 17046. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-27)\/4 - 9\/((-180)\/(-25)). Let z(n) = 13*n**2 + 3*n - 59. Does 35 divide z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 + -25. Let w(p) be the second derivative of 0 + c*p**5 - 1\/30*p**6 + 0*p**4 - p + 1\/6*p**3 + 0*p**2. Find the second derivative of w(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7.9*2\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 103*v + 2. Let l(d) = 410*d + 7. Let t(i) = 2*l(i) - 9*x(i). List the prime factors of t(-2).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26945 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 106*i**4 - 3429*i**3 + 3024169*i**2 + 4.\nAnswer: 2544*i - 20574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -331*l + 317*l = -56 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**3\/3 - 32*j**2\/3 - 157*j\/3 + 150 = 0.\nAnswer: -25, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**0\/j)**(-3\/38)\/(j**(1\/6)\/(j\/(j*j\/j**(-6\/7)*j*j*j)*j)))**(-3\/34) assuming j is positive.\nAnswer: j**(787\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, c: 1, n: 5, q: 1}. Give prob of picking 4 n.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 105979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*l + 9*l + 2*t - 9, 4*l - 12 = 3*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, c: 2, b: 2, y: 2, a: 1}. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 29*d - 2. What is the tens digit of t(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 17 = -4*h, f - 4*f + 7 = -4*h. Suppose v = -5*y, -h*v + y = -v. Let c(b) = b**3 - b**2 + 3. What is c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j - 2*j**3 + 2*j + 4*j**3)*(3*j**2 + 0*j**2 + 2*j**2).\nAnswer: 10*j**5 + 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4\/(36\/(-21))*171*-12?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 80 = -4*p. Suppose -s + 2*s = -p. Calculate the remainder when (15\/6)\/((-2)\/s) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/4  (b) -0.041  (c) 253  (d) -0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4*1*77\/11. Let i(m) = 3*m - 6. Let k be i(4). Is k\/(-21) + 8044\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 46*a**5 - 3*a**3 - 1782*a**2 - 3211723*a wrt a?\nAnswer: 920*a**3 - 18*a - 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000010277 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 6*z = -6 + 36, -s - 3*z = -15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h**3 - h**2 + 3. Let c be m(-5). Suppose -3*r - c - 368 = 0. Is r\/(-42) + 2\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s + 7798 - 7798.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/(-30)*(-105)\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from giggggnnnn. What is prob of picking 1 g and 3 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 19301102271 and 0.3?\nAnswer: 19301102270.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 88*b**2*j - 132692*b**2 + 7*b*j + 14*b - 43631*j - 51 wrt j?\nAnswer: 88*b**2 + 7*b - 43631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1447 and -159841.\nAnswer: -158394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + m - 30 = 0. Let i(k) = -12 - 11 - m*k**2 + 9*k + 22 + 4*k**2. Determine i(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b - 9. Let p(r) = r**2 + 9*r - 7. Let u be p(-9). Let y be s(u). Let t = 0 + 2. Solve -t*o + o = y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 10*d**2 - 6*d + 1. Does 21 divide o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2212352 (base 8) to base 15.\nAnswer: -bb538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 582943.095ns?\nAnswer: 0.0000000009638609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - (-3 + 21 + 1)) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 7970757, 2 in ascending order.\nAnswer: -3, 2, 7970757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (107 - (-42378)\/(-546)) + -29?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 206 = 64. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -953 at least -951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2 + sqrt(500) + 1*sqrt(500))**2.\nAnswer: 80*sqrt(5) + 2002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10670 is divided by 10571?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*h**3*n**2*z**3 + 34*h**3*n**2*z**2 + 2*h**2*n**2 + h**2*n*z**2 + 2*h*n**2 + 19*z**3 wrt h.\nAnswer: -12*n**2*z**3 + 204*n**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -292676852519 + -0.3?\nAnswer: -292676852519.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 0.06229.\nAnswer: 0.24916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/17, -5, 0.1, 0.2, -26330269?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (18\/(-1))\/(-1) - -1. Suppose 3*s - s + 10 = 0, 0 = -5*d + 2*s + 35. Let q be 2059\/213 + (-2)\/6*2. Solve -5*f - v = -2*r, d*r + q = 4*f + 31 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11176808.\nAnswer: 2, 1397101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*l**3*m**4 + 2*l**3*m - 6*l*m**3 + l*m**2 + 2*m**2 wrt m.\nAnswer: 72*l**3*m - 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 4*m**2 - m + 23848. Let y(p) = -2*p. What is y(b(h))?\nAnswer: -8*h**2 + 2*h - 47696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6523478 * -5.\nAnswer: 32617390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b**2 - 168*b + 999. Let g be v(6). Solve 0 = 1165*j - 1174*j - g for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y = -4667 + 950. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, p: 13}. Give prob of picking 2 m and 2 p.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 5*u**2 - 6*u + 10. Calculate p(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(21\/(-41)) + (-8 - -2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -c - 2*s, 4*s - 3*s - 218 = -3*c. What is the remainder when 453 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 11:57 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12225 and 10455309.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/10, 2\/3, -1\/6, -0.2, 0.3, -15, 5.179?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/36 - ((-10310)\/18 - 1). Suppose f + 206 = -4*s. Round s to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94324.\nAnswer: 2, 23581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12488, 25562, 38790, 52250, 66020, 80178?\n\"Answer: 13*w**3 - w**2 + 12986*w - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 417*i**2 - 25*i + 33. Let t(x) = 209*x**2 - 13*x + 17. Let q(h) = 6*f(h) - 11*t(h). What is the second derivative of q(n) wrt n?\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/13, 2\/3, 2\/19, -11?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 595683972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, -9\/22, -4, -22, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, y: 2, h: 3, a: 4}. Give prob of picking 2 a and 1 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 5*f**2 + 10*f - 7. Let o be x(-5). Suppose o - 11 = 3*n. What is the remainder when 91 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -860\/3993 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(6050) - (sqrt(6050) + -4 + sqrt(6050)*-1)) + sqrt(6050) - ((sqrt(500)\/sqrt(40) - sqrt(50)) + -5)) + 5)**2.\nAnswer: 2025*sqrt(2) + 50787\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 57\/2 of a century?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 150835532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzltlyzllzllzzz. Give prob of picking 2 l and 1 y.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 44 - 4624?\nAnswer: -4550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-2\/7))**45)**(-3\/10))**(-22) assuming t is positive.\nAnswer: t**(-594\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 48436.35 centimeters?\nAnswer: 484363.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*y - 15*y - 7*y)*(1 - 4 - 3 + (4 - 5 + 2)*(1 - 2 - 1)).\nAnswer: 56*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/5)*t*t**(3\/4)*t)**(-16\/5) assuming t is positive.\nAnswer: t**(-204\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 + 1 - 1)*(10 - 7*o - 10) + 3*o**3 - 627*o**3 - 35*o**3 + (5*o - 5*o - o**2)*(-1 + 1 + o) + 5*o**3 - o**3 - 6*o**3 - 2 - o**3 + 2.\nAnswer: -670*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/2 and (-4)\/(-4) - -3*(-159)\/162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (494\/4 + 4)*(-20)\/6. What is the units digit of (-4)\/(-34) + (-47125)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6588 - 9?\nAnswer: -6596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 + -3)\/2 + 3. Suppose g + 5 = -z*g. Let d be (12\/10)\/(g\/(-75)). Calculate the greatest common divisor of d and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -128869, -128873, -128877, -128881?\n\"Answer: -4*l - 128865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + -2 + (-2)\/(-22). Let l = i - -8\/33. Let g = -16855 - -16855.07. Which is the third smallest value?  (a) 4  (b) g  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -19 + 7. Suppose 238 = -f - a. Let c = f + 506. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -156 (base 15) to base 10\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.135, -0.07, -156, 0.3 in increasing order.\nAnswer: -156, -0.135, -0.07, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17*i**3 - 4*i**3 - 5 - 11*i**3 - 3*i**3 wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 10:11 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f**3 + 37*f**2 - 21*f + 69. Give u(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (167\/(-3006) + 644\/90 - -4) + -12?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 27*j + 5. Let g(n) = 27*n + 4. Let k(l) = 2*g(l) - 3*y(l). Let u be k(-2). Suppose -2 + u = 9*i. Solve 0 = 4*c - 3*w - 7, 5*w + i + 16 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 4*u = 27, 0 = 2*q - 5*q - u + 23. Suppose 2 = -k + q. Suppose -k*l + 108 - 3 = 0. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fqqnv. What is prob of sequence qfn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00019921 rounded to 6 decimal places?\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r + 2. Suppose 0 - 6 = 2*b. Calculate w(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 314*t**2 - 317*t**2 + t + 13*t**3 + 1 - 2*t**3. Suppose -7*j = -2*j - 10. What is the tens digit of r(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21744*a*w**2 - 18*a*y - w**2*y + 134*w*y - 2*y wrt y.\nAnswer: -18*a - w**2 + 134*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2. Let d(t) = -8*t + 12. What is -d(m) - 4*j(m)?\nAnswer: 8*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.93  (b) -0.1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that p**2\/3 + 740199*p - 4441198\/3 = 0.\nAnswer: -2220599, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((35002\/(-518))\/(-11))\/(1\/(-7))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 6*n - 3. Let h(c) be the third derivative of c**6\/120 + c**5\/12 - c**4\/4 + c**3\/3 - 2*c**2. Let k be h(-6). What is the units digit of r(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/((-9)\/6) + 1. Let j be (-17 - o)*-1*1. What is the highest common divisor of 112 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 35 = -32. Solve 9 - 24 = -m*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 2. Let g = -9 + 7. Let w be 4*(3\/3)\/g. Which is the nearest to t?  (a) w  (b) -4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0512 - -0.3488. Let c = -3.81 - -2.81. Let l = 1 + -1. What is the closest to c in a, -0.6, l?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5168, -5166, -5164, -5162, -5160, -5158?\nAnswer: -5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8167 = -1817*y + 7926 - 42555 - 33499 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -64.1 - 9.9. Let f = -73.546 - -0.546. Let t = f - l. What is the third biggest value in 0.3, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in five thirds of a minute?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24264 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 + 1 - -1) + (-44 - -49). Are 0 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/7  (b) -1\/429  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 8*d**2 - 8. List the prime factors of q(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*u - 5454 = 70*u. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 11:19 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2b3 + -9?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*p + 4. Let w be (-45)\/(-6)*(0 + p). Solve -4*t = -3*t + 5*d - 21, -w = t - 4*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kakz when four letters picked without replacement from {z: 3, c: 9, k: 3, a: 5}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 10)*(-2008 - 1997 + 3990)*(0*r + 0*r - 2*r).\nAnswer: -270*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p - 1. Let v be (-1 - -1) + 5 + -2. Let t be 9\/(18\/28) - v. Suppose 0 = -5*f + d + 16, d - t = -4*f - 0*f. Give q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 381 and 381?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -62083*z**2 + 2*z + 40461.\nAnswer: -124166*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -322698 + 1424*r**2 + 2605*r + 324114 + 231*r + 4*r**3 = 0 for r.\nAnswer: -354, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 14, 59 in decreasing order.\nAnswer: 59, 14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 988034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 2*c + 2*q + 1, 5*c + q = 17. Suppose -3*x = -9*b + c*b + 1247, 3*b = -4*x + 725. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 30668, 30670, 30672?\n\"Answer: 2*t + 30666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 310 - -302?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4374*g**2 - 4379*g**2 - 1 - 4385*g**2 + 13141*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 c when four letters picked without replacement from cccllcl.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) -5\/9  (c) -81543  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -174*p**2 - 1. Let r(z) = -96*z + 280*z - 99*z - 71*z. Give r(b(j)).\nAnswer: -2436*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -52 - -258\/5. Let m(x) = x**3 - 5*x**2 + 5*x. Let q be m(3). What is the closest to f in -5, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 182 and 132781558?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkyakkkk. Give prob of sequence ya.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, -4, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 58772 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 74 + -71. What is the second derivative of 276*d**3 - 17*d + 290*d**3 - 556*d**k wrt d?\nAnswer: 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5c3c38 (base 13) to base 3\nAnswer: 11011011121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ncccanwwwwcnawaaww. What is prob of picking 2 w?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/190568656 and -54\/46855?\nAnswer: 952843280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3547 (base 11) in base 15?\nAnswer: 159e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -5*t**2 - 7735*t - 69210 = 0.\nAnswer: -1538, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -962.8 - -963. Suppose -2*y = -1 - 1. Let o be (y\/3)\/((-4)\/6). Which is the closest to -0.1?  (a) j  (b) -2\/7  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -19*q*s**2 + 4464*q*s - 427*s**2 + 3*s + 50 wrt q?\nAnswer: -19*s**2 + 4464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15 and 178416?\nAnswer: 892080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -22 + 0*y + 11\/2*y**2 - 9\/4*y**4 - 3\/10*y**5 - 1\/60*y**6 - 9*y**3. Let f(i) be the second derivative of r(i). Factor f(x).\nAnswer: -2*(x + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s + 1. Let d(m) = -m**3 - 6*m**2 - 5*m - 5. Let x(a) = -d(a) + 3*n(a). Determine x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -205 - -250. Let f = 356 + -146. Calculate the highest common factor of h and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47, -87, -137, -197, -267, -347?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -1046?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -16*h + 6. Let k be g(3). Let o = k - -63. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 121790.74 and -3.\nAnswer: -365372.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = 2*s - 20. Let o = s - -8. Solve o*t - 15 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from yayyaadajdaajyaya?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 - 30 + 59 = 8*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 24 + ((45 - 10) + -21 - 9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*a*w**3 - 29758*a*w**2 + 59*a*w - 2596*a - 7*w**3 + 13*w wrt w.\nAnswer: 30*a*w - 59516*a - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 + 245*t**2 + 205*t**2 - 373*t**2 + 13.\nAnswer: 77*t**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 311548.\nAnswer: 2, 71, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + p - p**2)*(2*p**2 + 0*p**2 - 4*p**2) + 1405 + 29 + p**4 + 1526.\nAnswer: 3*p**4 + 2960","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from obffbbbffb. What is prob of picking 1 f and 1 o?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168 is divided by 124?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand f - f - 3*f**3 + (0 - 3 + 1)*(6*f**2 - 14*f**2 + 122*f**2)*(0 + 0 - 3*f).\nAnswer: 681*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 285 a factor of 26217435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= 1560971\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -2*a**5\/5 - 3424*a**4\/5 + 30260*a**3 + 649632*a**2\/5 + 98982*a = 0.\nAnswer: -1755, -3, -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from ufxffxi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9 and 2592.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 2\/128707005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -52038, -104089, -156140, -208191, -260242?\n\"Answer: -52051*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1134 - -1432. List the prime factors of u.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2308466291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1108047581 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9840*q**4 + 2*q**2 + 4*q - 1853208 wrt q?\nAnswer: 39360*q**3 + 4*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.471 - -1.63. Let j = u - -1.837963. Round j to 4 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 4638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -16. Let i be (k - 12)\/((-1)\/(-5)). Let r(h) = -2*h**2 - h. Let y(z) = -4*z**2 - 3*z. Let n(v) = i*r(v) - 2*y(v). Determine n(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -51 - -7. Let i be (-8)\/(-6)*12\/4*c. Let b be (-1)\/((-16)\/(-132))*i\/6. Calculate the highest common factor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2013 - -1975) + 3 + -20.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*1.221651\nAnswer: -0.6108255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 - 3*a + 2. Let m(q) = -2*q - 2*q + 4 - q**2 - q. Let l = 9 + -6. Give l*m(g) - 5*p(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(280)*3)\/sqrt(7) - sqrt(40) - sqrt(40))\/(sqrt(8) + sqrt(96)\/(3*sqrt(12))).\nAnswer: -1 + 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/((-162)\/12) + 21\/27. Does m = 5\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + 6*w + 2. Let s be v(0). Let i be (-10)\/(42\/(-36) + 1\/s). Solve 3*h + 2*h = -f - 25, -i = 4*f + 3*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 453084000 to the nearest one million.\nAnswer: 453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 35201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/3 - (-11)\/3. Suppose -5*h + 3*m = -m - 2485, 994 = 2*h + x*m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((0 - -4) + -2)*1. Let z(q) = 0*q + 5*q - q**p + 1 - 4 - q. Give z(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 30 = -11*w. Let p(h) = 9*h + 16*h - 24*h + 6*h**3 - 7*h**w. Give p(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 87, 167, 243, 315, 383?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2221*t**3 + 28*t**2 + 2230*t**3 - 68*t**2)*(3 - 2 - 3 + t)*(0 - t + 0).\nAnswer: -9*t**5 + 58*t**4 - 80*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4053556 is divided by 2026774.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**3 - 21062160*v**2 - 55451844045354*v - 110903603842084 = 0.\nAnswer: -5265539, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 15559 - 5*o - 7779 - 16*o - o**3 - 9*o**2 - 7773 - 8*o**2. Determine a(-15).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-3 - 4) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of 11*u**4\/24 - u**3\/3 + u**2. Let s be j(2). Let b = 31 - s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.028815 rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.03686 from -3.35.\nAnswer: -3.31314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 230091537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 2398*x + 2398*x - x**4 + x**3 - 21*x**2 in the form k*x**3 + d*x**2 + g*x + s + i*x**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*b**3 + 8*b**2 - 2*b**2 - 2 - b**3 + 8*b**3 to s + y*b**2 + q*b**3 + t*b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 736*f**3*q**2 + 54812*f**3 + 6*f**2 - 3*f*q - 38*q**3 + q wrt q?\nAnswer: 1472*f**3 - 228*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 43227 divided by 3184\nAnswer: 43227\/3184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 146 + 56 = 0. What is the least common multiple of 168 and j?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 - 15*n + 17 + (3*n - 3*n + 2*n)*(-2 + 3 + 1))*(3*n - 2*n**2 - 3*n) - n + n + 2*n**3.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l**2 + 4268 - 3*l - 4268.\nAnswer: -6*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/35)\/g)\/((g*g*g*g**(-11\/4)*g*g)\/g)*g**(2\/3)*g**(-19) assuming g is positive.\nAnswer: g**(-8669\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4284, -8579, -12886, -17205?\n\"Answer: -6*s**2 - 4277*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44 - 45.95. What is o rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 953885190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 36595155 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: b\"What is the mth term of 218, 217, 216, 215, 214, 213?\n\"Answer: -m + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u + 7. Suppose -1 + 2 = d - 4*p, 3*p = d - 2. Give w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/27)*a\/a**12)\/(a**(-3)\/a)**(-12\/13) assuming a is positive.\nAnswer: a**(-5131\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = z + 2, -2*z + 2*u - 4*u = 2. Let q(g) = z - 4 - 16*g - 2. What are the prime factors of q(-5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.51 + 0.71. Put -1, 0, o, -3 in descending order.\nAnswer: o, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 3. Calculate the remainder when n\/((-1)\/4 + 1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 141 + 1. Let v = l + -139. Calculate the greatest common factor of 48 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 135 + -137. Suppose -4*o + 3 = -5*o. Let l = -0.01 + -0.39. What is the biggest value in o, 2\/11, l, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.1, -1\/6, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -832*m - 63 = -823*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -39*o + 11*o + 10*o + 10*o + 7*o. Let f(t) = 35*t**2. What is f(r(d))?\nAnswer: 35*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -52 by 608.\nAnswer: -13\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -437, -876, -1315, -1754?\nAnswer: -2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1612398 is divided by 264?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and -2 + 69 + (-20 - -21).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*c**4\/3 - 34*c**3 + 224*c**2\/3 - 56*c + 32\/3 = 0 for c.\nAnswer: 2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1170, -4\/3, -0.03?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 23 = -2*m, -2*q - 8 = -5*m + 6. Let b(l) = -l - l**2 - 1 + 3*l + 22 - l. Let a be b(4). Solve 3*c + 3*s = a, -c - m*s - 15 = -9*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i - 438*i**3 - 7*i**2 + 3 + i - 4*i + 3*i.\nAnswer: -438*i**3 - 7*i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15626 - 15609. Solve -4*f + 5*m - 25 = 0, -2*f + z = -5*f + 2*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 - 1210*p + 171239. Determine n(128).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -5*s + 4*c - 9, -5*c - 37 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (4 + sqrt(180) + (sqrt(180) - ((sqrt(180) + 0 + sqrt(180) - sqrt(180)) + sqrt(180)))*-3 + sqrt(180) + sqrt(180))**2 + -3.\nAnswer: 288*sqrt(5) + 6497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -28934, -115815, -260612, -463325?\n\"Answer: -28958*v**2 - 7*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 - -3 - (-14)\/(-7). Let g be -147*1*(-4 - p). What is the common denominator of 65\/24 and ((-11)\/7)\/((-54)\/g)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7251178*v**5 - 104398*v - 12?\nAnswer: -145023560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2801, 8341, 16627, 27659, 41437, 57961?\nAnswer: 77231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 227677, 910637, 2048891, 3642433, 5691257, 8195357?\nAnswer: 11154727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -8*r**3 + 4*r**2 - 9*r + 4. Let l(g) = 23*g**3 - 11*g**2 + 26*g - 11. Determine -11*f(b) - 4*l(b).\nAnswer: -4*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 11*v - 3. Let n(y) be the third derivative of 5*y**4\/24 - y**2 - 122*y. Give n(o(s)).\nAnswer: 55*s - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -178572348 divided by -29762058?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4.8  (b) 1\/3  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 200760479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 15345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5890, 2730, -426, -3578, -6726, -9870?\nAnswer: -13010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3*x + 4 = 0. Let b be (x + 9\/(-12))*4. Solve b*p = p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*a - 5*a + 2*a - a + 6*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 4440809\nAnswer: -7\/4440809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -64 - 14*v - 4*v + 5*v. Suppose 4*g + 212 = 164. List the prime factors of z(g).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -60970883, -60970879, -60970875, -60970871?\n\"Answer: 4*i - 60970887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, t: 1, h: 1, x: 5, s: 1, e: 2}. What is prob of picking 1 x and 2 e?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 4*p + p - 26, 5*o - 10 = -3*p. What is the common denominator of 6\/9 + o + (-1146)\/72 and 117\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 207 and 3447.\nAnswer: 79281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -92.5 + 92.8. What is the third biggest value in d, 278, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-8))\/(-1)*(-20)\/(-150).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 8:28 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*a - 6747 - 2863 = -401*a for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21161630?\nAnswer: 2, 5, 7, 19, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1001001 (base 2) to base 7\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -694613 bigger than -694614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 365369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 393635 and 6545?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 10 - 25 = 0. Let u(g) = g**2 + 2*g - 1. Let m be u(w). Suppose 5*y + 5*b - 165 = 0, m*y - 5*b - 105 = -2*y. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/35 less than or equal to 669855.38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 6*-4*(-4 + -1*sqrt(1872)*6))**2.\nAnswer: 314496*sqrt(13) + 38826073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 5*v**3 + 7*v**2 + 6*v + 20. Give u(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -4. Suppose j = -i + 4*i + 4197. Let u = i + 8371\/6. What is the common denominator of 74\/3 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 = 3*g - 45*g. Suppose -2577 = -g*y - 129. 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 sixth biggest value?  (a) -1  (b) 382  (c) 0.085  (d) -1\/5  (e) -1\/3  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11531 and 0.18.\nAnswer: 2075.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1889*w + 92672 = 1653*w - 147574 + 6474 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - (sqrt(171)*2 + sqrt(171)))*-4*-4)\/((sqrt(720) - (-3*sqrt(720) - sqrt(720)) - sqrt(45))\/sqrt(5)).\nAnswer: -32*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 4*c**2 - 6*c - 1. Let i be r(5). What is the units digit of 3\/i + 38\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -279, -1, -26 in descending order.\nAnswer: -1, -26, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 183165678 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8 + -10)\/((-6)\/51). What is the first derivative of -s + 21*c + 30 + 4 wrt c?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 593 a factor of 200062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 455*k**4 + 2*k**3 - 454*k**4 - 264*k + 8 + 277*k to p*k**3 + r*k**4 + w + z*k**2 + q*k and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 9*x**3 + x - 6. Let f(k) = -k**3 + 1. Let c(t) = 3*t**2 + 55*t + 246. Let s be c(-10). Determine s*f(q) - b(q).\nAnswer: -5*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 15401, 15549, 15699, 15851, 16005, 16161, 16319?\n\"Answer: d**2 + 145*d + 15255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of b**9\/12096 + b**8\/6720 - b**7\/3360 - b**6\/1440 - b**3\/3 - 2. Let i(q) be the third derivative of j(q). Factor i(g).\nAnswer: g**2*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 4:54 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20944 = 836*z + 15004 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000954441 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - u**3 - 47*u**2 - 9*u**3 + 47*u**2.\nAnswer: -10*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 13*l**2 + 4*l + 11. Suppose f - 4*f = 3*u + 12, -3*f = -2*u + 22. Let k be j(f). Suppose -3*x = -3*r + 1392, -5*r + 2785 - k = -3*x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2525.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h**5\/5 - 18*h**4\/5 - 6*h**3\/5 + 66*h**2\/5 - 72*h\/5 + 24\/5 = 0 for h.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5472771?\nAnswer: 3, 31, 83, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27517798*r - 3348 = 27517736*r for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -4*x - 5. Let q be g(-2). Suppose 1 + q = 2*a. Solve -14 = -3*y - y + a*j, 23 = 5*y + 3*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 4 - 8. Let p(r) be the first derivative of -r**4\/24 + 5*r**3\/6 + 5*r**2\/2 + 5. Let v(b) be the second derivative of p(b). Calculate v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -3*l + 33, l - 5 = -s - 4*s. Let j = l + -8. Let n be 2\/((4\/3)\/j). Solve 3*i = 5*i + 2*h + 2, n*i = 5*h - 27 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1637.393 decades in millennia?\nAnswer: 16.37393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 249606113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -8 + (3 - 2 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 1477*w + 7366. What is n(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8895?\nAnswer: 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 4255587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45280 = -160017*i + 158885*i for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = 3*m + 4*c, 4*m - c - 231 = -85. Solve -4*f + m = o + 3*o, -3*f = -5*o + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -0*l + 10*l. Let r(g) = 10*g**3 - 8*g**2 + 10*g - 1. What is the units digit of r(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 8*g - 26. What is the third derivative of 5*y**g - 2 + 55*y**3 + 13*y**3 + 13*y**3 wrt y?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppzppxlpflpzxzfp. Give prob of picking 1 l and 1 z.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -25 * -25\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*z + 9*z - 4*z**3 - 21*z + 1 as d*z + a*z**2 + g*z**3 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 200362 and 12013254?\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*k**3*z - 51*k**3 - 3*k**2*z - 1342*k**2 - 82*k*z - 949*k + 488*z wrt k.\nAnswer: -72*k*z - 306*k - 6*z - 2684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -133589502*m**3 + m**2 - 2489*m - 9627 wrt m?\nAnswer: -801537012*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -2*h + 2, 5*u - 3*h = -0*h + 37. What is the first derivative of u*d**3 + 2 + 0 - 3 - d**3 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -441, 4, -1\/8, 2\/15, 0.278, -0.1?\nAnswer: 0.278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**2 + 6*k - 5. Let u(j) = -3*j**2 + 11*j - 9. Suppose -4*q = 3*w - 46, 2*q - 2 = w - 4. Suppose -8*g + w = 50. Calculate g*i(m) + 3*u(m).\nAnswer: m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (-13 - (-9 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16360*x - 11094 + 11094 to the form l*x + g and give l.\nAnswer: 16360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 703021 is divided by 380?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -21305, -86224, -194419, -345884, -540613?\n\"Answer: q**3 - 21644*q**2 + 6*q + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, b: 2, i: 7, q: 2}. Give prob of picking 1 m, 1 q, and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 228667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiiiiihiihiiiiiii. Give prob of sequence hh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 4*y + 3 = 0, -5 = -4*j + 5*y. Solve j = 7*x - 110 + 82 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 141 + -137. Let b(a) = -1 - 5*a + 2*a**2 + 0*a**2 - 2. What are the prime factors of b(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6376 greater than 6376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26.011 - 0.011. Let p = -31 + n. Sort p, 0.075, -2\/3 in descending order.\nAnswer: 0.075, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14529*a = 7260*a + 7208*a - 2257 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 2*r - 2*r**2)*(0*r + 0*r - 3*r**3 + 1 + r**3 - 1 + (r + r - 3*r)*(r + 2*r**2 - r) + 0*r - 2*r**3 + 0*r) + 0*r**5 + 4*r**5 + 5*r**5.\nAnswer: 21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1488 + 1490. Which is greater: s or -0.396?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 5*z**2 - 6*z + 2. Let o be (4 - 3)\/(1\/(-6)). Calculate l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 + 17. Suppose c = 4*p - 91 - 25. Suppose -3*z - z + 79 = 3*i, -2*z + p = 5*i. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -75 - -74. Let f(v) = 4*v**2 - 3*v - 1. Let y be f(i). Let s be y\/4 - (2 - (-8)\/16). Put s, 4, 0.4 in descending order.\nAnswer: 4, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 58\/(-14) - (-2 - 52\/(-28)). Let r be d\/(-18)*-6*(-2 + -1). Suppose 5*z = x - 33, r*x - 4*z - 235 = -39. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -2.57244?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*2)\/sqrt(6) + (1 + sqrt(19))**2*2.\nAnswer: 6*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u - 109. Let i be c(0). Suppose -173 = 6*q + 175. Let h = q - i. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 14  (b) -8  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1025439534 a multiple of 6594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16266*p**4 - p**3 - 2631*p**2 - 7*p + 16638008 wrt p?\nAnswer: 195192*p**2 - 6*p - 5262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s - 71. Let r be (-1 - 23\/(-2)) + (-555)\/(-222). Determine l(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 966 + -965.8. Which is the nearest to -0.2?  (a) 2  (b) v  (c) 4  (d) 3\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1538 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1598\/51)\/((202\/3434)\/((-3)\/(-17))).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 580041 = 26*v + 4*v - 9*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(198)\/(sqrt(36)\/sqrt(4) + sqrt(9)))\/(sqrt(4)\/(2*sqrt(200))).\nAnswer: 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 190354770681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-33012)\/(-7336))\/(3\/44)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 4*l + 9. Let u be g(-4). Let a = u + 39. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of -z**4\/24 - z**3\/3 + 6*z**2. Let y be v(-5). Suppose -2*u + 4 = -u, y*h - 3*u = 51. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 10 = -g + 2*x, 5*g = 3*x + 37. Let i be (13\/2 - 2) + 4\/g. Solve i*a - 4*a = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1107 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*s + 5*s - 22 = 4*d, -29 = 3*d - 4*s for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3e6 (base 15) to base 6\nAnswer: -4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -126.22 - -897.\nAnswer: 770.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -4*p - 5. Let s(t) = 0*t - 4569*t**2 + 0*t + 4499*t**2. Determine s(x(j)).\nAnswer: -1120*j**2 - 2800*j - 1750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 52*f**2 + 2*f**3 + 3*f**4 + f - 43*f**2 - 3 + 3 to d + g*f + s*f**2 + x*f**3 + k*f**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -31310301200 - -213?\nAnswer: -31310300321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from {x: 1, r: 7, m: 5}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of -18*s**2 - 22*s - 2\/3*s**3 + 15. Let y be t(-17). Calculate the highest common factor of y and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-864)\/126)\/4)\/(1\/7)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 18.5195672 + -0.12107\nAnswer: 18.3984972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*o + 53*o - 20*o - 14 - 28*o to the form g + h*o and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t - b + 16, 3*b = 12*t - 6*t - 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.09, 2\/7, -6\/29, 4, -6, -8, -2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1089, -1090, -1091, -1092, -1093, -1094?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, -8, -73, -194, -389, -676, -1073?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - -2) + (-4 - -3). Let p(r) = 7*r + 36. Let a be p(-5). Suppose i + 0 + 1 = -t, -1 = i. Solve q + a + u = t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/3)\/((-6)\/(-45)). Suppose c = -2*s - 3*c + 26, 0 = 2*s + f*c - 31. What is the second derivative of 2*u**2 + s*u - u - 3*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40056 divided by -13352?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1620881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 2\/3, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + -3)**2 + -3.\nAnswer: -18*sqrt(17) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 37*q**3 + 71*q**4 + 79*q**4 + 0 - 5*q - 2 - 151*q**4 as v*q**4 + j + y*q + p*q**3 + s*q**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (5 - 616\/40)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 40833 and 150.\nAnswer: 40983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 44 - -4) + 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 13, 0, -8, 3.\nAnswer: -8, 0, 3, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + 2*l)*(-7 - 1 + 2)*(l**2 + 0*l**2 - 2*l**2) in the form f + x*l + s*l**3 + g*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 64479 + -1289.41.\nAnswer: 63189.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/102 - -73\/510. Put 1\/5, u, 4, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 3*u. Let g(f) = f**2. Let l(i) = i**3 - 2*i**2 + 4*i - 5. Let o be l(2). Determine o*g(t) + k(t).\nAnswer: 3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*o = -o + 350, -o = -h + 175. Let c = 247 - h. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, 212, -7, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r = -15*r. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 11:24 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 411666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**5 + 62*j**4 + 516*j**3 + 1196*j**2 + 1082*j + 342 = 0?\nAnswer: -19, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 37\/(1036\/(-441)) - -19\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2 and 1729444?\nAnswer: 1729443.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -203*v**2 + 297*v + 2 wrt v?\nAnswer: -406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2776, 5561, 8346, 11131, 13916, 16701?\nAnswer: 19486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 24256032 (base 8) to base 5\nAnswer: 2331110434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 508099207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3ac8a - -1?\nAnswer: -3ac89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2800 and 2518760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -3*w**7\/7 - 62*w**6\/3 - 1670*w**3\/3 + 272. What is the third derivative of p(y) wrt y?\nAnswer: -360*y**3 - 7440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -58*k - k**2 + 16*k**2 - 2 - 21*k**2 - 76*k in the form i*k + z*k**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 0*j - j)*(549*j**4 + 359*j**4 - 5*j**3 - 425*j**4).\nAnswer: 483*j**5 - 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/7 of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -241, -242, -241, -238?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-20)\/(-3) - (-1)\/3. Let v(f) = 21*f - 7. Suppose 5*j = 10, -7*x = -3*x - j - 2. Let d be v(x). Calculate the greatest common divisor of d and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4114923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -11.7, -13.08, 3\/5, 0, 2\/5 in descending order.\nAnswer: 2, 3\/5, 2\/5, 0, -11.7, -13.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/19116 and -145\/6372.\nAnswer: 19116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of 13*b**8\/1680 + b**7\/70 + b**6\/300 - 8*b**2. Solve x(p) = 0.\nAnswer: -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -722292, -1444587, -2166882?\nAnswer: -2889177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1\/9, 5, 0.3 in descending order.\nAnswer: 5, 3, 0.3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.6  (b) 3\/2  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.456538mg in micrograms?\nAnswer: 4456.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 4*l - 88. Suppose -29*b = -l*b - 16. What is the closest to 1 in b, 6\/5, -3\/4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4768?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2\/(-10))\/(333\/(-370)) - (-184012)\/9.\nAnswer: 2, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*k - 6*k + 16*k + 7*k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 881 divided by -5.\nAnswer: -881\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + 12*w - 10. Determine b(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 220 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 0.2, -0.4, 0.04, 0.5.\nAnswer: -10, -0.4, 0.04, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*u - 61*u - 1082 + 258 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in -7.7, 1\/19, -5?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - -28. Suppose 24*u - x*u = -693. 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 closest to -0.12 in 14, -89, -1\/6, -0.3, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4233.7912 and -0.2.\nAnswer: -4233.9912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zvlllzzlzzvvlzl. Give prob of picking 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y + 2*y + k - 7, -y - 2 = -5*k. Let s(d) = -d**2 + 11. Let b be s(3). Suppose -2 = -4*j + 2. Solve 2*o = -y*c + 5, 2*o - 5*c = -j - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -8*p**2 - 14*p + 5. Let i(z) = z**2 + 2*z + 1. What is -a(f) - 6*i(f)?\nAnswer: 2*f**2 + 2*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3817928 by -32.\nAnswer: 477241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2277 = -d, -4*d + 9*q + 9033 = 14*q. List the prime factors of d.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 180582024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-15)\/9)\/(140\/(-168)). Let j(p) = -48*p - 14. Let c(y) = y + 1. Let h(i) = -4*c(i) - j(i). What is the tens digit of h(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.224651 rounded to three dps?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/1878 and -13\/246018?\nAnswer: 246018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 145881 and 28512?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3\/7 + 72*q**2\/7 + 128*q\/7.\nAnswer: 4*q*(q + 2)*(q + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1102 - -1012110122?\nAnswer: 1012102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**3 - 4*x**3 - 4*x**3 + (x**2 - 1 + 1)*(-2 + 2 - 2*x) + 2*x**2 - x**3 - 2*x**2 + 2*x**3 + 2 - 2.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - a + 427 = -0*a, 109 = m - 2*a. Suppose -m = -5*s - 22. Suppose -38 - 12 = -j. What is the remainder when j is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63 by 367.\nAnswer: -63\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by -85618\nAnswer: -1\/6586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {r: 13, m: 3, c: 1, o: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 - 12*a**2 - 11*a - 12. Let i be b(13). Let g = i + -12. Let y = -399\/2 + 200. Is g <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11\/13248 + 985\/4416. Suppose 14\/9*s**2 + r*s + 4\/3*s**3 + 0 = 0. Calculate s.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence asbb when four letters picked without replacement from fgbyabs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, f: 4, q: 3, h: 1}. Give prob of sequence cf.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13225?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 1071.018?\nAnswer: -1068.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {v: 10, c: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -115.8 + 54.9. Let r = -60.89999956 - i. Round r to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 40099622*r**2 + 503994771 wrt r?\nAnswer: 80199244*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 120739 (base 13) in base 15?\nAnswer: 87481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8505?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 25*h - 3. Let x(p) = 200*p - 25. What is -25*s(n) + 3*x(n)?\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9654 + 9654. Solve 0 = 5*a - 4*j, u = 2*a + 19*j - 22*j - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 277*w - 12. Let q(l) = 3*l. Calculate g(q(z)).\nAnswer: 831*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 323189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 343708.\nAnswer: 2, 29, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 + 8*k + 10. Let y be o(9). Sort -3, 3, y in ascending order.\nAnswer: -3, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 411135?\nAnswer: 3, 5, 27409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3979 + 123 = -241*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -228586 by 114293.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 0*d**2 - 3*d**2 + 4*d**2. Let f(q) be the second derivative of 7*q**3\/6 + 2*q**2 + 9*q - 929. What is u(f(j))?\nAnswer: 49*j**2 + 56*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -3*h + 10, -2*h + 2*v = 2*h - 10. Suppose a = -h + 15. Let n = a - 7. Solve 5*i = 4*d - 37, 0*i + n*d - 20 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5*i - 2)*(3 - 2 + 1) + 6*i - 2*i - 2*i - 9 + 8 + 8165*i - 7596*i.\nAnswer: 561*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c - 13. Let q be a(-17). Suppose 5*z + q*k - 885 - 1275 = 0, 5*k = 0. Suppose 40*x + z = 43*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*1 - (-3 - -3). Let w = 1 + m. Let k(j) be the second derivative of j**5\/20 - 5*j**4\/12 + 5*j**3\/6 - 3*j**2\/2 + 2*j. Determine k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25935983 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d**3 - 11*d**3 + 10*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -274*i**2 - 268*i**2 + 817*i**2 - 271*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*t**5 - 13*t**5 + 6*t**5 - 3*t**5 + 7*t**2 wrt t.\nAnswer: -1560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from bbbbzznnznbnbnbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1464.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2f8a7 (base 16) to base 2.\nAnswer: -101111100010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 38, 139, 308, 545, 850, 1223?\n\"Answer: 34*y**2 - y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/60 and (0 + 2\/4)*1113\/(-567)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = t - 361, -3*k - 2*t - 142 = -k. Let n be 4\/(-2) - k\/38. Let g = 98 - 97. What is the nearest to 1 in n, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3406 a factor of 2993656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 10010010?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, p: 3, i: 2, v: 4, r: 2}. Give prob of picking 2 z and 1 v.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1371*q + 1375*q + 4*b - 20, 6 = -3*q + 4*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 14541.439 from -1173.\nAnswer: -15714.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 4*r + 8. Let d be (13 - -1)*r\/8. Let f = d + 8. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-14)\/84)\/(1\/222*-2). Let t = n + -257\/14. Which is the nearest to 1\/5?  (a) -2  (b) -11  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 371204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-27)\/(-6)*(-4)\/3. Let k = -3 + h. What are the prime factors of -2 + k\/(-6)*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of 239*q**4\/12 - 7*q**3\/3 - q**2\/2 + 52*q - 3. What is the second derivative of o(y) wrt y?\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -569 + 598. What is the smallest common multiple of x and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 4110 = 2*v - 0*c, 2*v - 3*c = 4108. Suppose 532*k + v = 543*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {c: 10, n: 3, d: 1, b: 3, q: 1, s: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, -21, 2 in increasing order.\nAnswer: -21, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -160\/51 - -25\/17. Which is the third smallest value?  (a) l  (b) -0.3  (c) -4  (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 621, 1251, 1881, 2511, 3141, 3771?\nAnswer: 4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 = -2*s + 4*w, 0 = 68*s + 45*w - 140*w + 46*w + 46*w + 237 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3 + 1167*g**2 - 339888*g - 341056.\nAnswer: -(g - 584)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 AM and 11:36 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/(-14))\/(53 + 12441\/(-231)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65174001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 4:29 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d + 1176 = 1169 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4 and -81.980684147.\nAnswer: -82.380684147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8944495\/(-3))\/((-2)\/6). Let o = -143041433\/16 + w. Let u = 4404 - o. Find the common denominator of u and 23\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from khhkkkkckhcckhkhhh. What is prob of sequence kch?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2\/31)\/(p*p\/(p**(-6)\/p))*(p**(1\/4)*p*p*p)**(-44) assuming p is positive.\nAnswer: p**(-4714\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3113 + -3113.01253. Let w = b - 74.61747. Let r = w - -75. What is r rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12346 is divided by 327.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -419*v + 1257. Let c be q(3). Let u be 22\/(-70) + 2\/(-7). Put 1, u, c, 5 in ascending order.\nAnswer: u, c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 22\/11*(-2)\/(-16). Which is the closest to -1\/2?  (a) f  (b) -2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 224\/70 + -5 + -13 + 15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -18. Suppose -s*o + 7*o = -820. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 - 700*o + 7400.\nAnswer: -4*(o - 10)*(o + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -2994699.95 to the nearest one hundred.\nAnswer: -2994700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**2 + 3*g**2 + 0*g**2)*(8*g**3 - 16*g**3 - 40*g**3).\nAnswer: -48*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 - 23. Calculate the lowest common multiple of 5 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 1.5  (c) 4  (d) 58\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2 + 5499764*q - 3780925506962.\nAnswer: -2*(q - 1374941)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 3*a - a)*(2222 + 291 - 699) + 2*a - 5*a + a.\nAnswer: -1816*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11)*-2*5 + -1.\nAnswer: -10*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 7:15 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3415 + -3412. Let m be ((-6)\/4 + 1)*0. Let h be 0\/(5\/(4 + -9)). Solve -o*j + 2*r - 7 = 0, 2*j + h*r + 2*r - 12 = m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 15 + 317928?\nAnswer: 317940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000194 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2 - 20*v. Let w(x) = -2*x + 1704. What is w(d(a))?\nAnswer: -4*a**2 + 40*a + 1704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71064354 is divided by 861?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*o - 24 = -33*o. Let t be (o\/(-32))\/(3\/4). Suppose -4*q + 42 = -2*u, -t = -3*u - 4. Solve -b + q = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0800011 - -0.08. What is v rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3802\/69 or -56?\nAnswer: -3802\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(1539) + (sqrt(1539) + -2 + sqrt(1539) + -2)**2) + (sqrt(19) + 3 + -2*sqrt(19) + 5 + 0)**2.\nAnswer: -286*sqrt(19) + 12427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3*w**3 - 3)*(w + 12*w + 2*w)*(-86 - 10 - 78) in the form o*w**3 + k*w**2 + m*w**4 + n*w + f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 44, 130, 308, 608, 1060?\n\"Answer: 5*c**3 + 16*c**2 + 3*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**2 - 44*u - 3. Let c be t(22). What is the nearest to 1\/5 in -2, -4, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 - 1. Let z be f(2). Suppose -5*n + 2*n - 74 = -5*k, z*k + n - 50 = 0. Suppose -3*r + k = r. Calculate the remainder when 15 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3\/8 - -1\/8. What is the nearest to i in 5, -3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -75641544 divided by -4\nAnswer: 18910386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q - 6*q + 5*q - 2 - q + 3*q**3 as s*q**2 + g*q**3 + r + n*q and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 1, -19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 322, 643, 964?\n\"Answer: 321*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {z: 2, l: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 252483447.\nAnswer: 3, 79, 1065331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-483*5\/30)\/((-14)\/4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 + 26*a - 26*a - 15*a**3)*(1 - 1 - 8*a**2 + (5*a**2 + 0*a**2 - 4*a**2)*(5 - 2 - 1)).\nAnswer: 90*a**5 - 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -31865\nAnswer: -31865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/8 - (-105625)\/200. Suppose -3081 = -3*a - b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3b08 (base 12) to base 11\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a*b**4 - 256*a*b + 3*b**4 + b**3 wrt b?\nAnswer: 12*a*b**2 + 36*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 75 + -376\/5. Which is the third biggest value?  (a) -1\/4  (b) g  (c) 3  (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**2 + u**2 - 12*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/4)\/(-24)*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 5*w + 15, -3*v + 4*w = 7 + 5. Suppose 0*t - 3*t + 147 = v. What is the remainder when t is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 2:06 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146*n + 156*n + 163*n - 467*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1137 - 1137 - 12*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 67671 divided by -2?\nAnswer: -67671\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -723d (base 16) in base 7?\nAnswer: -151156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.4  (b) 2\/9  (c) 0.3  (d) -2\/11  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/5 of a millennium in decades?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -19920 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-9\/2))**(1\/18) assuming k is positive.\nAnswer: k**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124396 is divided by 4606?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - 4*k + 2*k)*((0 - 2 + 0)*(0*k + 4*k - 2*k) + (-6 + 4 - 5)*(0*k - 3*k + 4*k) + (-3 + 3 + 1)*(k + 4 - 4) - 4*k + 3*k - 4*k).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/33 and -80\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 66691, 66705, 66719, 66733?\nAnswer: 66747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**1*t*t)\/t)\/t**(1\/3))\/(((t*((t**(-8)*t)\/t*t)\/t)\/t)\/(t*t*t**(2\/11))) assuming t is positive.\nAnswer: t**(391\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u\/(u*u*u*u**(2\/13)))\/u*u*u**(-3\/2)*u**1*u\/(u*u**(-5))*u)\/((u\/u**(-6))\/u**(-2)*u*u**3\/u*u*u**(-3)) assuming u is positive.\nAnswer: u**(-147\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dpi when three letters picked without replacement from pidpdpduupdpdpidpdpu?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b1 (base 12) in base 16?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 23*b - 24. Let a(m) = 2*m - 5. Suppose 22*q = 23*q - 6. Let l be a(q). What is the tens digit of o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or -3\/46?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30.701 + -31.201. Let o be (2\/2 - -1)\/1. What is the closest to f in 0.2, 3, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67043 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 452\/(-20) - (-4)\/(-10). Let o = -18 - f. Suppose 11 = 3*i + 2. Solve 0 = -0*v + 2*v + o*m, -i*m = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 + 202*f**2 + 2035*f - 12606. Determine q(-191).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2. Let j(t) = 3*t**3 - 15*t**2. Calculate -j(v) - 15*z(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 13085792 divided by 1635724?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 5*j - 2. Let x be r(4). Let b be 6*(x\/30)\/1. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 45 + 0*j + j - 50 - 3 + 3 + 2*j + (2*j - 2 + 2)*(0 + 1 + 0) - 3*j + 0*j + j.\nAnswer: 3*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -66\/7373095 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-72)\/56*(-1295)\/(-111).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 8568276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0832 + -276.0832. What is the biggest value in i, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 387655207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**4 + 4*g**3 + 2*g. Let r(n) = 5*n**3 + n. Let q(p) = 5*o(p) - 4*r(p). Find the second derivative of q(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/4 - 945\/60. Let f be 1\/(57\/s + 4). Suppose 158 + 97 = f*j. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6\/11  (b) -3\/7  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4882348*h + 11682292 wrt h?\nAnswer: 4882348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 139852, 559417, 1258694, 2237683, 3496384, 5034797, 6852922?\nAnswer: 8950759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -242*x + 3*t = -238*x - 26, 10 = -x - 2*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 1.2  (c) -11  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-32))\/(3\/2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 11 = 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31899283721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 3 = -4*m, 4*x + 2*m + 8 = 0. Let i = 306 - 309. Which is the fourth smallest value?  (a) i  (b) 1  (c) -10\/11  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - -5)\/((-1)\/(-4)). Solve -5*h + 7 + 1 = m*u, -h - u = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/10, -7171, -254 in decreasing order.\nAnswer: -1\/10, -254, -7171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence akmk when four letters picked without replacement from mkakqkmyaalaam?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/36 + (-170)\/(-600).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6228 - -6193. Which is the nearest to i?  (a) 0.2  (b) 0.3  (c) -3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2\/2 + 1276112*l + 814230918272 = 0.\nAnswer: -1276112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from xbmb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -158371 + -845?\nAnswer: -160326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i - 28. Determine o(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**5 - 912606*f**4 - 7300768*f**3 - 21902224*f**2 - 29202912*f - 14601440.\nAnswer: -2*(f + 2)**4*(f + 456295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((750\/(-80))\/((-21)\/28))\/(-4 - 49\/(-14))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*z**2 + 2957893*z - 2957893*z - z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 316427?\nAnswer: 109, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 196266889769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1421857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2383554869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 175 and 210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -11\/2*p**2 + 0 - 2\/3*p**3 + 12*p. Differentiate r(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 100 - 97. Suppose k*t - 5*t = -4*a + 12, 4*a = 5*t + 12. Solve -2*f + 3*i + 14 = -a*f, 4*i = 5*f - 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1933.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35290 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3045150)\/((2 - (-1101)\/(-660)) + (-12)\/66). What is q rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - (-2 + (-1 - -2) + (15 - 20))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*p - 3663 = -914 + 2711 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Put 66, 0, -5, 3, -510, 5, 1 in descending order.\nAnswer: 66, 5, 3, 1, 0, -5, -510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p. Let s(d) = -d**2 - 7*d**2 + d**2 + 17*d**2. Calculate s(z(f)).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 2874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 15 + -1 + 4 - 25\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 257 - 127. Calculate the highest common factor of 30 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14112 and 41139?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 + 13*s + 51. Let k(u) = -u**2 + 11*u + 51. Determine -7*k(f) + 6*n(f).\nAnswer: f**2 + f - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-2 + (sqrt(175) - (1 + sqrt(175))) + -4)*-5 + (sqrt(175) + -3 + -1 + sqrt(175) - (4 + (sqrt(175) - sqrt(175)*2)))*-6)**2.\nAnswer: -15300*sqrt(7) + 63925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -2*c**2\/5 - 116*c\/5 - 224\/5 = 0.\nAnswer: -56, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.07 - -7.93. Let n = -5.4857 - -0.4857. What is the third smallest value in 3, n, 0.4, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8651, -12642, -16633, -20624, -24615?\n\"Answer: -3991*v - 4660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from {m: 11, w: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010619 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 + 3*c**2 + 4*c. Let d be f(4). Suppose -16*s + 15*s + 5 = d. Solve -5*i - 26 = -6, -2*i - 18 = -s*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*x - x + x)*(-2 - 4 + 2 + (5 - 2 - 1)*(-1 + 1 + 1) + 5 - 4 + 0 + 5 - 3 + 0) to g*x + r and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16530269461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 3:05 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 0 - 0) + 31 + -26\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -84 or -19?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 14813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 3\/5, 15.4.\nAnswer: 0.2, 3\/5, 15.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {m: 5, p: 5, z: 4, s: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 12:30 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 8*b**2 - 15*b + 76. Let d be g(8). Let p(i) = -8*i - 209. Let c be p(d). Suppose -15 + 2 = -u. What is the greatest common divisor of c and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*c**2 - 93 + 91 - 846*c**3 + 6*c**2.\nAnswer: -846*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3.84 and -11.549?\nAnswer: 15.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 4*z + 0*z)*(97*z - 668*z - 299*z).\nAnswer: -1740*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 + -46. Suppose -5 = -14*r - 5. Suppose r*s - i = -2*s. What is the greatest common divisor of 99 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(448)*3.\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l**2. Let x(a) be the second derivative of a**4\/12 + a. Calculate x(z(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (-12 - 0) + (225 - 223) - 14\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.7 and 1.6.\nAnswer: 5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**6*w*w\/(w**(-1\/5)\/w)*w)**(2\/17) assuming w is positive.\nAnswer: w**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 - 10 = 3*u. Let n(c) = -c**3 - 12*c**2 - 13*c - 16. Let p be n(-11). Let i(s) = -s**3 + p*s**2 + 9 - 2*s**2 - 3*s - 4. Give i(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1211525231?\nAnswer: 7, 349, 613, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 PM and 5:03 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a - 14. Let r(p) = -2*p + 28. Let m(k) = -5*i(k) - 3*r(k). Let f be m(6). Let o = 22 + f. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.00312 + -8.286.\nAnswer: -8.28288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 - 5. Let v(z) = m - 22 - z + 7. Let t(y) = -7 + 8 - 1 - 23*y. Determine t(v(o)).\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 2331551?\nAnswer: 4663102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 21944.5 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(8\/5)\/(v*((v\/(v**(2\/51)\/v*v*v))\/v)\/v)*v**(-27\/5)*(v*v*v**(-3\/25)\/v*v)\/v assuming v is positive.\nAnswer: v**(-2398\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -42 and -7.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.617 and 706.\nAnswer: -1141.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 - 5*f**2 + 4*f + 1. Let v be z(4). Is v + 2 + 2 + 264 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 3*u**4 - 5*u**3 - 20*u**2 - 12*u. Let i(j) = -2*j**4 + 3*j**3 + 13*j**2 + 8*j. Let w(f) = 8*i(f) + 5*t(f). Factor w(v).\nAnswer: -v*(v - 2)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 10 = 3*v, -6*b + 5*b = -5*v + 8. Suppose u = -3*y + 3 + 10, 5*u + 3*y - 53 = 0. What is the least common multiple of b and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 761362?\nAnswer: -761361.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i + 6*i - i. Suppose 0 = 3*s - 2*m - 3*m - 44, i = -s + 4*m + 24. Let q = -122 + 177. What is the remainder when q is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -125 * -0.1.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 862 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*h = 17 + 16 + 15. What is the fourth biggest value in 1\/2, h, -0.4, -20, 3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -109, 212, 1369, 3758, 7775, 13816, 22277?\n\"Answer: 66*r**3 + 22*r**2 - 207*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 7. Which is smaller: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5983\/15 + 399. Factor 0 + 2\/15*f**2 + o*f.\nAnswer: 2*f*(f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -3. Let d = -45806 - -45807. Let t(m) = -7*m**3 - 6. Let b(j) = -j**3 - 1. What is d*t(q) + p*b(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) -0.3  (c) -0.2  (d) 2\/19  (e) 0.43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 13) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3030 = -68*h - 61*h - 192. Solve -43*k + 63 = -h*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3494, -13919, -31294, -55619?\n\"Answer: -3475*v**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -150 - -148. Is 9 a factor of o\/6 - 1708\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*5\/(-5))\/(8\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u + 146*u**2 + 194*u**2 + 9625 - 9628 - u in the form j*u**2 + g*u + o and give j.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4869*h**2 - 1011*h - 13. Let s(i) = -12172*i**2 + 2528*i + 32. Let d(a) = 13*s(a) + 32*y(a). What is the second derivative of d(j) wrt j?\nAnswer: -4856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ea26 - 7?\nAnswer: -ea2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 6 = 2*o. Let s be o\/56 - (-10)\/(-35). Is 1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3867*y**4 + 14*y**3 - 2*y**2 - 547866*y wrt y?\nAnswer: 46404*y**2 + 84*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 2*a = 0, -a - 96 = -14*j + 3*a for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -331200 divided by 360.\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 519, -1, -40 in descending order.\nAnswer: 519, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1300\/7 + (-6)\/(-21). Calculate the highest common factor of p and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*6*(3 - 4). Let l be 5\/(1 - -14)*v. Solve -4 - 4 = -l*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*x - 18455 = 15729 - 39176 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2618 + 2690. Calculate the lowest common multiple of m and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-2*sqrt(3)*1)**2 + sqrt(27)*-2 - ((1*sqrt(147) - sqrt(3))**2 - sqrt(30)\/(sqrt(20)\/sqrt(2)))).\nAnswer: -192 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2*l + 5*l + 5 = 0, 0 = -5*i - 3*l - 4. Let r(m) = -5494 + 0*m**2 + m**2 + 3*m**3 - 5485 + 10978. What is r(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4304 (base 9) to base 11\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -30408322 divided by 98\nAnswer: -310289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -41, -102, -189?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 PM and 8:15 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -70 + 607. Let r be 1\/5 - c\/(-15). Suppose 0 = 3*a - 0*a - r. Solve -3*h - 4*u - a = h, 0 = 2*h - 5*u + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + w + j - 9, -w + 4*j = 9. Suppose -18 + 6 = w*v, -3*v - 187 = -5*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59696 + 1331. List the prime factors of t.\nAnswer: 61027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 704 divided by 64\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*c**2 - 5*c**2 + 3*c**3 + (-2*c + 0*c + 0*c)*(-2*c + 2*c + 5*c**2).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20*l**3 - l**2 + 320 wrt l.\nAnswer: -60*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64112?\nAnswer: 2, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -17*h - 4272. Let p(k) = -7*k - 1708. Let b(m) = -12*p(m) + 5*u(m). Let f(i) = i. Calculate f(b(s)).\nAnswer: -s - 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -477, -1550, -3193, -5406?\nAnswer: -8189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18724428 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 772 at most 771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 4 + (-16 - -16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2572 divided by 4\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-59)\/(-1) - (-1 + 1). Let h = a - 39. What is the units digit of 10\/h + (-39)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -2\/13  (c) -8962  (d) 39  (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 PM and 4:59 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13995 divided by 933.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -2.8. Let k = -5.905 - -0.005. Let w = k + 6. Put m, 6\/11, w in increasing order.\nAnswer: w, m, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115\/(332235\/214)*(-33)\/2?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 1196*c + 3. Is j(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*b - 22*b = 21. Suppose k - 30 = -3*m + 84, -3*k = -b*m - 318. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -21, -1\/11 in descending order.\nAnswer: 0.2, -1\/11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -122 - -14226?\nAnswer: 14104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + (-5)\/((-20)\/(-8)). What is the derivative of 7 + 9 - 6*o**d - 15 wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*x**2 - 18420*x - 16948.\nAnswer: -4*x - 18420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.49935 + 5.29345. Let h = 4.8 - p. Round h to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -4*k - 4 + k - 4*k. Let l(h) = -2*h**2 + h. Let g be l(2). Let b(x) = 20*x + 11. Calculate g*b(p) - 17*a(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r. Let i(d) = 26920092*d**2. Give s(i(c)).\nAnswer: 53840184*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (5 - -1) + (22 - (7 + 13))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q - 5. Let z be w(4). Let d be z + -2 - -1 - -5. Let u be 2*d\/(-42)*-2. Put u, 1\/3, 0.1 in ascending order.\nAnswer: 0.1, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16663264 (base 7) to base 8\nAnswer: 6216442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -51, 8, 0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 482681 * 5.59\nAnswer: 2698186.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d**3 - 2*d**3 + 0*d**3 + 9*d to y*d**3 + w*d + h + c*d**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 5*b = 361 - 374, 1 = 3*o - 4*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/17?  (a) -0.334  (b) 0  (c) 0.2  (d) 4  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3  (b) -30  (c) 0.1  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 833 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/57 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 14\/(-168)*(-4)\/3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 11223343 from -1205.3.\nAnswer: -11224548.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26 + -30. Suppose -5*s = -10, -27*g = -22*g - 4*s + 13. Which is the nearest to -2?  (a) g  (b) o  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -53*t**2 + 4*t + 2. Let s be w(0). Sort 3, -4, 5, s, 20.\nAnswer: -4, s, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/(-12))\/(9\/27)*(-4)\/(-24). What is the fifth smallest value in 9\/10, -1\/11, -5, 17, j?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 12:57 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.6738 + 0.9738. Let d = 2.1 + -1.4. Which is the nearest to d?  (a) 5  (b) 6  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 22272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(2 + 0 - 23)*(a**3 - 2*a**3 - 3*a + 4*a - 2*a**2).\nAnswer: 21*a**3 + 42*a**2 - 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*sqrt(1573) + sqrt(1573)) - ((sqrt(1573) - (2*sqrt(1573) - sqrt(1573)))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {e: 1, n: 2, z: 1, b: 1, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -19*x + 21. Let r(s) = 10*s - 11. Let t(v) = -3*q(v) - 7*r(v). Differentiate t(f) with respect to f.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.8?  (a) 5  (b) -1.6  (c) -0.2  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*k + 184 = 34, -30 = -o + 4*k. Suppose -n - 2*n + o = 0. Suppose y - j = 2, 4*y - n = -j + 3. Solve 3*g + 3 = 5*r + 13, -17 = -y*g - 2*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 589961.4 or 0?\nAnswer: 589961.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61936*c - 15376*c - 14264*c - 109506*c.\nAnswer: -201082*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -19*o**3 - 1064*o**2 - 2049*o + 55. Determine f(-54).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 571*b**3*s + 1142*b**3 + 2*b**2 wrt s.\nAnswer: 571*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(3))**2 - sqrt(3)) + -5 - sqrt(3)) + -2*sqrt(21)\/sqrt(7).\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12842189, -51368763, -115579719, -205475057, -321054777, -462318879, -629267363?\nAnswer: -821900229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + -3. List the prime factors of ((-58)\/k)\/(4\/16).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 235.5 + -155.6. Round x to zero decimal places.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3*k**3 + 2*k**2 + 5*k + 1. Let g(c) = c**3 + c**2 + 3*c + 1. Give -5*g(b) + 3*m(b).\nAnswer: 4*b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - ((-11 - -24) + -16)) + (22 - 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7563934 and -37.\nAnswer: 279865558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155232.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of -g**4\/12 - g**3\/6 - 7*g**2\/2 + 526*g. Give t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128\/8*6\/60*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.235 times 1.99?\nAnswer: 0.46765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -13. Let r = h - 7. Let w = 23\/30 + -1\/10. Put r, 0.1, w in increasing order.\nAnswer: 0.1, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 193, 241, 149, -83, -455, -967, -1619?\nAnswer: -2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49385 and 5015.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18478425377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/1840 and 103\/1150.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 36\/14)\/4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 20*z**2 - 38*z**2 - 67*z**2)*(-2 + z + 2).\nAnswer: -85*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 9 = f, -4*f - 21 = -b - 0*b. Solve 0 = -x - b*m - 29, 0*x - 4*x = -5*m - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*r**2*w**2 + 2*r**2*w + 5*r*w**3 + 2*w**3 + 19*w**2 - 2 wrt r?\nAnswer: 18*r*w**2 + 4*r*w + 5*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0751417 + 11.74936.\nAnswer: 11.6742183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -7.37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 + 1)*(-h**2 + 1 - 1) + 145*h**2 - 8589 + 8589 - 9*h in the form o + y*h**2 + i*h and give y.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, a: 9, c: 6}. What is prob of picking 3 a and 1 c?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 10*a - 1. Determine t(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-100)\/(-25)*-2*(-2)\/(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7481985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17386 is divided by 4334?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3041\/4 bigger than 759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*t + 10*t - 17*t as b*t + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1b (base 14) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**15)**(-28)*(i**(-8\/7))**(6\/23))**(5\/3) assuming i is positive.\nAnswer: i**(-112780\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*2\/(-10) - (-46)\/(-115). Let m(w) = -13*w + 2. Is 3 a factor of m(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -2086738?\nAnswer: -6260214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1\/2)\/(u\/u**(-1))*u**9*(u**0*u)\/u)**(1\/32))**(3\/16) assuming u is positive.\nAnswer: u**(39\/1024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(264))\/sqrt(8))\/(3*sqrt(44) + sqrt(11)).\nAnswer: -2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - q - 22. Let j be t(5). Let p be (-10)\/5 + 1392\/698. Let z = -2798\/1047 - p. Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 428 + (-6)\/3 + 4. Let p = -755 + g. Let j = -126 - p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32352651 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6703151683?\nAnswer: 19, 151, 2336407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*y = -19*y + 169*y - 72*y - 3885 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 3.2. Let c = v + -0.2. Let q = -0.404 - c. Round q to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 3030*y - 10. Let t(g) = 1515*g - 6. Give 4*m(k) - 7*t(k).\nAnswer: 1515*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 600, 854, 1108, 1362, 1616?\n\"Answer: 254*n + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17204 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3134057192 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8744)\/(3 - ((-120)\/(-14))\/3). Let d = f - -1908. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h**2. Let d(s) = -s**2 + s - 1. Let p(y) = -6*y**2 + y - 2. Let b(n) = -2*d(n) + p(n). What is g(b(k))?\nAnswer: 48*k**4 + 24*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ygsrjss. Give prob of picking 1 r, 1 s, and 1 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24 + -12. Suppose 10 = -4*t + c + 30, 0 = -t + 2*c + p. Put t, -5, 2 in decreasing order.\nAnswer: t, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -36 + 76. Suppose -5*z + 5 = -c. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 4*z - 3 + 1\/3*z**3 + 3\/2*z**2. Give p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.313156736 rounded to two decimal places?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -846256 + 846295.4927. Let s = 0.4473 + t. Let x = -40 + s. Round x to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 187 is divided by -15*(-2 - 3) + -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 316290 + -845093. Let u be 2 + -1 + 1 + -278805. Let c = u - s. What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*u**6*w**2 + 18*u**6*w - 4*u**2*w**2 - 8*u**2*w + 2*w**2 wrt u.\nAnswer: 960*u**3*w**2 + 2160*u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -16. What is the remainder when (115\/5)\/(5\/15) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100)*1 - -3*(sqrt(11) + -2))**2.\nAnswer: -156*sqrt(11) + 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*g**2*v**2 + 2*g**2*v + g**2 - 38*g*v - 2*g - 2*v**2 wrt g?\nAnswer: -6*v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -29916\/5371 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/(-20) - 2*(-3)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away 7.51?\nAnswer: -6.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 14987.5543 rounded to the nearest one hundred?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/(-9))\/(((-14)\/(-24))\/(-7)). Let u be (2 + (c - -2))\/((-2)\/(-1)). Solve 3*l + l = u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + 1010?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 31067680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 3*t**2 - 6*t - 5. Let g = 8 - 4. Calculate the remainder when g is divided by l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14892 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 229620.72 months to millennia.\nAnswer: 19.13506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64 and 1931584?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 6*h**2 - 8*h - 4. Let z be q(-7). Find i such that 3\/4*i**z - 1\/4*i**2 + 1\/4*i**4 - 1\/4*i**5 - 1\/2*i + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 11 + -2 + -55 + 7 + 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -211220033 (base 4) in base 15?\nAnswer: -30a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 841199 and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - -26. Suppose 2*b + o = 6*b + j, -3*b - 3*j = -18. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 492\/(-9) - 1073\/(54 + -83).\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16.6*31.\nAnswer: -514.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.462186 milliseconds to seconds.\nAnswer: 0.005462186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*q - 16*q + 666 = 83*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -95 + -3?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1104 - 1222 - (7 + (-1 - 0) + 2).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1110602, -2221206, -3331810, -4442414, -5553018?\nAnswer: -6663622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0+3196\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/240 and 95\/7854?\nAnswer: 314160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.899519411 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 32930?\nAnswer: -2\/16465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -72\/5  (b) -4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 6395174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 5 - 2*f - 10 - 8. Let v be b(-8). Solve -3 = -d, v*u + u - 5*d = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**4 - t**3 - 2*t**2 - 1. Let s(x) = 114*x**4 + 3*x**3 + 170*x**2 + 2*x + 3. Let k(a) = 3*c(a) + s(a). Find the third derivative of k(b) wrt b.\nAnswer: 2664*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*y + 8*y**3 + 1 - 10*y**3 + 6*y**2 - 4*y**2 in the form m*y**3 + n + p*y + h*y**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -5*o. Let m(u) = 13239*u. What is y(m(z))?\nAnswer: -66195*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 12:27 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.152 - 731539022.\nAnswer: -731539021.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (35 - (-8)\/(-4))*1. Let v = h + -9. Let f(m) = -9*m**3 - 8*m**2. Let q(z) = z**3 + z**2. Calculate v*q(x) + 3*f(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o + 5. Let d be g(-4). Let f(j) = 128*j + 6. Let s be f(d). Round s to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18114, -13739, -6446, 3765?\nAnswer: 16894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*l - 35*l + 1877109 = 7032954. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13183830 and 15820596?\nAnswer: 79102980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/50 and 89\/40305.\nAnswer: 403050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92 + 92 + 19710*u.\nAnswer: 19710*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*g**3 - 4 + 43046*g**2 + 86*g**3 - 43046*g**2 - 45*g**3.\nAnswer: -7*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29166104 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 5.723116nm?\nAnswer: 0.000000000005723116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*v - 4985377 = 36*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 505712833.\nAnswer: 773, 654221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 83 + -86. Put 0.5, 1\/5, i in descending order.\nAnswer: 0.5, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 19. Suppose 4*r - 20 = 5*o + 13, -y*r + 4*o + 30 = 0. What is the third derivative of -t**2 - t**r + 25*t**6 - 14*t**6 + t**2 wrt t?\nAnswer: 1320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 + 32.1. What is the closest to f in 8, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 5)\/((-5)\/((-15)\/6) + 5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 8 + 8)*(0*o**3 - 4*o**3 + o + 5*o**3).\nAnswer: 11*o**3 + 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dmns when four letters picked without replacement from {m: 4, d: 5, s: 2, r: 1, t: 4, n: 4}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 + x. Suppose 2*f + 11 = 1. Let b(j) = -2*j**2 + 3*j + 1. Determine f*c(v) + 2*b(v).\nAnswer: v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (10 + -18)*6\/(-16). Let d(a) be the third derivative of 0 - 1\/150*a**5 - 1\/300*a**6 + 2*a**2 + 0*a**4 + 0*a + 0*a**c. What is o in d(o) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/54*(-186)\/465.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 AM and 8:15 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g**3 - 12*g**3 + 4*g - 4*g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 437*f**2 - 19685*f - 8. Determine i(386).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -185 + 138 + (10 - -78)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of -27 - 69*u + 6*u**2 + 13*u**2 - 12*u**2 + 20*u**2. Find the first derivative of l(c) wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 3)*(3 - 3 - 1)*(1944*p - 4267*p - 1046*p - 425*p - 3726*p) as r + h*p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + y + 2*y)*(-3*y**4 + 4 - 4) + (-29*y**2 + 8*y**4 + 29*y**2)*(y + 4*y - 4*y).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 456\/64 + (3\/(-24))\/1. Suppose 0 = g*n - 12*n + 10. What are the prime factors of -3*((-1)\/n)\/((-5)\/(-70))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*l**6 + 689*l**4 + 347*l**3 + 17049364*l**2 wrt l?\nAnswer: 480*l**3 + 16536*l + 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7792 is divided by 1543?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6441, 6425, 6409, 6393?\nAnswer: 6377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -34*w + 2829. What is a(83)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -3*w**4\/4 + 123*w**3 - 723*w**2\/2 - 123*w + 1449\/4 = 0.\nAnswer: -1, 1, 3, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**0)**7\/(d**(-2)*(d\/(d**(-2\/3)\/d)*d)\/d) assuming d is positive.\nAnswer: d**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -327 - -544. Suppose k = 3*z + 63 - r, -3*z = 2*k - 169. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3510287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.67865 * -5013\nAnswer: 3402.07245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -r**2 + 41*r - 29. Let y(u) = 2*u. Calculate l(y(w)).\nAnswer: -4*w + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of 0 - 1\/16*r**4 - 1\/80*r**5 - 3*r**2 - 1\/8*r**3 + 0*r. Solve d(o) = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2632 and 5922.\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**2 - 170*q - 1. Give h(-85).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mpmmmmmp. Give prob of sequence mmpm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11028484 and 4.\nAnswer: 11028484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -4. Let l = 36 - 36. Suppose -266 = -l*p - t*p + 4*m, 5*p - 3*m = 644. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**3 - 949444*p**2 - 9494622*p - 8545176 = 0?\nAnswer: -9, -1, 474732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -123*z + 755. Give x(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 81*a = -78*a + 5, 0 = -5*u - 5*a + 45. Let j(k) be the second derivative of u*k - 29\/2*k**2 + 13\/4*k**4 + 0 + 0*k**3. Differentiate j(y) wrt y.\nAnswer: 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1461 is divided by 1456.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - -12880?\nAnswer: 12878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 384 + -128. Suppose -x = 3*x + h. Let b = -257\/4 - x. Does -1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -129*i**3 - 20*i**2 - 96*i + 37. Is s(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/14*-2)\/(52\/(-52))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 275458.1 nanoseconds in seconds?\nAnswer: 0.0002754581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 62 - 2a31?\nAnswer: -299c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9025\/25935 - (15\/(-9) + 2) and 65\/602?\nAnswer: 23478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3167095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 11122 (base 3) in base 8?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/3))**(1\/38)\/(v\/v**(2\/5))**50 assuming v is positive.\nAnswer: v**(-3421\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of 27*k**2\/2 - k - 1. What is the tens digit of o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50 - 50 - 6*q)*(-253*q + 217 + 505*q - 251*q).\nAnswer: -6*q**2 - 1302*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 287033472 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95.8559 nanometers to centimeters.\nAnswer: 0.00000958559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 51 - 63. Calculate the remainder when 1\/(2*(-2)\/(-52)) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 7*l + 80 = 2*d, -2*d + 80 = 4*l. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 59*q + 465. Let r be k(66). Solve 4*m + 4*h = -4, -r*h = -3*m + m + 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.042  (b) -5  (c) -37\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 608*j + 5 = -613*j, -2*s + 11*j = -11 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 153 + -137?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 11:23 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 3 = -0*j - 5*b, -4 = -4*j - 4*b. Let v(a) = -a**3 - 5*a**2 - 1. Let f be v(-5). Let k be j\/((-28)\/32 - f). Solve i + d = 3*i, 3*d = 2*i + k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/(sqrt(44) + (sqrt(44) - (sqrt(4400) - sqrt(44)))).\nAnswer: -sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.69 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58008430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 - -40. Suppose 157 = q*u - 31. List the prime factors of u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v = -3*v. What is the units digit of 0 + (0 - v) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/6)\/(4\/120). Suppose 13 = 4*g + 5. Suppose -j - 3 = -g*j. What is the highest common divisor of j and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9642.549 + 9648. Round n to one dp.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (0 + 6) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -8  (b) 2  (c) -0.5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.09 in -0.2, -2510, 21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l**2 - 23*l - 4. What is the remainder when 12 is divided by c(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12694 or 12693?\nAnswer: 12694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -0.4, 0.2, 1, -2.4, 5 in descending order.\nAnswer: 5, 1, 0.5, 0.2, -0.4, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(76) + -1)**2 + sqrt(19) + (-2*sqrt(2736) + sqrt(2736) - sqrt(19)))*-1.\nAnswer: -385 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -171884 and -134.\nAnswer: -172018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 350 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2011020102 (base 3) in base 13?\nAnswer: -1642a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 12*i**3 + 6*i**2. Let q(b) = 11*b**3 + 5*b**2. Calculate -5*d(a) + 6*q(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -26529 - -911.74?\nAnswer: -25617.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 539570.6 years to centuries.\nAnswer: 5395.706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (-3376)\/(-96) - 27.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-312)\/208*4*(-8)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of -r**5\/2 + r**3 - 5*r. What is the second derivative of p(a) wrt a?\nAnswer: -60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 2686 + 64. Suppose 3*v = -2*v + k. Suppose 2*t - v = -3*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 654 from -0.2.\nAnswer: -654.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1461, 5836, 13123, 23316, 36409?\n\"Answer: -q**3 + 1462*q**2 - 4*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 19 + 273. Let m = -85 - p. What is the greatest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 121813236 divided by 134\nAnswer: 909054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqwqwwqwqwqw. Give prob of sequence qwwq.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -311661.4907 to the nearest ten.\nAnswer: -311660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -222032, -220814, -219596, -218378, -217160, -215942?\n\"Answer: 1218*a - 223250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -6629883 divided by 2209961\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 103.7 and 4599?\nAnswer: 4495.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 143 + -50. Suppose d = -2*i + 237. Let f be (15 - (2 + -3)) + 2. What is the greatest common divisor of i and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 17 in 105, -5\/342, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(392)*-2 - sqrt(392) - sqrt(392))\/sqrt(7) - sqrt(1400)*4)\/(sqrt(8) + (sqrt(8) - 2*sqrt(800)) - (sqrt(8) - sqrt(32)\/sqrt(4))*5).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*n - 5*n + 5*v - 55, 2*n + 3*v = 25. Let n*o**2 + 25 + 2*o**2 - 61 - 48*o - o**2 = 0. What is o?\nAnswer: -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -430 minus -23?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 4*o**2 - o**3 - 3*o + 1 + 5*o - 2*o**3 + 2*o**3. What is the units digit of d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -53 - -8. Let o = -53 - -85.5. Let x = o + h. Round x to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -175185, -175129, -175075, -175023, -174973, -174925?\nAnswer: -174879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -10, 205, -5, -2\/23?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-2))\/((-3)\/(-6)). Let g(c) = 0*c**3 - 6*c + 2 + 2*c**3 - 3*c**3 - q - 7*c**2. What is g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1201 (base 8) in base 4?\nAnswer: 22001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 90 or 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.24 + 0.67. Let w = -0.29 + 0.26. Let t = w + x. What is the nearest to 0 in t, -3\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4964, -1\/2, 0, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)\/(sqrt(35)\/sqrt(7)) - 1*sqrt(110)\/sqrt(11))\/((-3*sqrt(1920))\/(sqrt(72)\/(sqrt(48)\/sqrt(4)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**3 - 1 + 1)*(0 + 0 - 2*m)*(1 + 2*m - 1).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9592447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (1 - 1))*(-21 + 23)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3761 - -3758. What is the third biggest value in 1\/3, -1\/7, -212, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/14 and -15\/94.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -9*k + 1076. What is z(144)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 + 477\/(-45))*(-30)\/(-42).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, v: 11}. What is prob of sequence vvv?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -327 + 241 + ((1 - 2) + 2 - -8)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*1\/4)\/(36\/(4320\/(-6))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 0 + 0 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27\/((-6075)\/60))\/(4\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 AM and 8:20 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**4 - 132*z**3 + 272*z**2.\nAnswer: -2*z**2*(z - 2)*(z + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 15) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 123\/13550 and 139\/17124?\nAnswer: 116015100","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 14 = 13. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 4 - 1 = 0. Let b(q) = 4*q**2 + q. Let z be b(k). Find the second derivative of 7*i**3 + 3*i + 2*i**4 - 4*i**3 - 3*i**z wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 + 7*w**2 - 4*w + 5. Determine s(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3255117.\nAnswer: 3, 383, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17268598681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127*o - 125*o = -20. Which is greater: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**3*f + a**3*w + 6*a**2*f*w + 2*a**2 - a*f*w + 3*a*f - 2*f*w - 9*f - 2*w wrt a?\nAnswer: -6*a*f + 6*a*w + 12*f*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 241463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 100111111001100110010 (base 2) in base 9?\nAnswer: 2412423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 747 by -165.\nAnswer: -249\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1525*z**4 + 91*z**2 - z wrt z?\nAnswer: -36600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 38 = -3*y - 2*c, y - 3*c = 5. Let s be y\/(-36) - 58\/(-18). Solve -5*p + s = 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43 and 989?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.187 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 5  (b) -83  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -82*y**2 - 4*y - y**3 + 28*y + 2*y**4 + 81*y**2 as q*y**4 + r*y**3 + z*y**2 + l*y + w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1395 and -237.\nAnswer: 33.0615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 AM and 8:10 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9496, -9494, -9492, -9490, -9488?\nAnswer: -9486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -10*d**2. Let s(l) = 236 - 236 + 2*l. Give s(t(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -4 + 7 + -8 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4.2, -1\/7, -2\/9, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -14*s - 10. Let i be r(-5). Let w be ((-36)\/i)\/(1\/(-65)). Suppose f + 3*v + 45 = -2*f, -w = 4*f - 3*v. Is f at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 831828059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.38666nm in centimeters?\nAnswer: 0.000005138666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*c**2*t**4 - 63394*c**2*t**3 - c**2*t**2 + 13*c**2 + 35*c*t**2 - t**3 + t**2 - 19*t wrt t?\nAnswer: -48*c**2*t - 380364*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -190 - -965. List the prime factors of p.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171652.\nAnswer: 2, 13, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 381945?\nAnswer: 3, 5, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**2*l*m + 18*d**2*l - 10*d**2*m + 4*d**2 + 8*d*l - l*m - 564*m wrt d?\nAnswer: 4*l*m + 36*l - 20*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/(-5))\/(29\/((-580)\/88)). Sort -2, t, -1, -3 in descending order.\nAnswer: t, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times -28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -481536?\nAnswer: -1\/481536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -21 - (1 - 2) - (1 + (23 - 27))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 3 + (sqrt(363) + 1)*2 + 1 + 2 + 2 + 0)**2.\nAnswer: 352*sqrt(3) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36375 = -4*k + 125297. Let b be (-7)\/5 - -2 - k\/(-70). Suppose b = -5*t - 3*z + 1546, 770 = 4*t - 2*z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 467*b + 7. Let j(z) = 929*z + 16. What is -7*a(y) + 3*j(y)?\nAnswer: -482*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1377.7119+5\nAnswer: -1372.7119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68817 and 4731988.\nAnswer: 3277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 117019 and 49.\nAnswer: 819133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of u**2 + 26. Let c(m) = 4*m**2 - 3*m. Let n(b) = -7*b**2 + 5*b. Let y(t) = -5*c(t) - 3*n(t). What is y(l(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2802 is divided by 1286.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3 + 9.7. Let o = 14 - r. Let t = 97 + -98. What is the nearest to 1\/12 in 0, o, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -19, -0.33, 0.3, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 12*s**2 + 11*s + 6. Let u be r(11). Suppose 4*c + u = 2*x - 0*x, 4*x = -5*c + 12. Suppose 10 = x*n - 5. Solve n = -5*d - 0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -109538*h**2*j**3 + 14*h**2*j**2 - 369*h**2*j - h**2 - 76*h + j**2 + 3*j wrt j?\nAnswer: -657228*h**2*j + 28*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 3 = -3*t - 9, -4*t - x - 4 = 0. Solve -4*r + 5*l + 11 = t, 4*l = -3*r - 7 - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3002374031 and 0.\nAnswer: -3002374031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181603033.\nAnswer: 181603033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 16 = 4. Suppose -b*u + t + 43 = 6*t, -4*t = 2*u - 20. Suppose 2*q = -0*q + u. Solve 3*c - 2*j + 13 - 2 = 0, -2*c - q = -2*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 4*g - 25, -6*g - 4 = -4*g. Let j = f + 21. Suppose 5*t = 19 - j. Solve -16 = 5*s + 4*c, -2*s + c = -t*c - 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 7 = -b - 1, -b - 6 = -3*i. Let j(y) be the first derivative of 1\/5*y**4 + 0*y - 1 - 2\/15*y**3 - 2\/25*y**5 + b*y**2. Factor j(l).\nAnswer: -2*l**2*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 28*i**2 + 21*i + 21. Let v = -102 - -81. Let p(u) = u**2 + u + 1. Determine v*p(w) + g(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3065, -3063, -3059, -3053?\nAnswer: -3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j**2 - 11 + 31*j - 38*j - 6*j**2 + 5*j**3. Is f(5) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.5284942 hours?\nAnswer: 31.709652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -44*z**2 + 138*z + 463. What is r(-3)?\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 875095*z + 11520. Let d be x(-16). Round d to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 197 - 192. Suppose 0 = -4*j - t*r + 20, -5*j = -0*r + 4*r - 16. Solve -2*h + j = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of -11\/3*f**3 - 2 + 0*f**2 - f. Let u be o(-2). What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3880)\/(-56) + 4*1\/(-14). Let x = 99 - o. Let i = x - 18. Solve 0 = 3*d + 3 - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -124*c - 564. Let a be r(-5). Suppose -5*s = 2*z - 3*s - 6, -4*z = -s - 32. What is the highest common divisor of z and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30*74\/6660)\/(10\/8*6\/(-540))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43084, 43129, 43186, 43255, 43336, 43429?\nAnswer: 43534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4047540\/33520*8\/14?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -284*a**2 + 10 - 284*a**2 + 566*a**2 to the form i + z*a + y*a**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 2*f**2 - 2. Let o be l(2). Let j be 445\/10 + (-1)\/o. What is the smallest common multiple of 7 and 35\/j + (-4)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 5*z + 2. Let f be q(6). Let w be (-3)\/(-6)*7 + f. Let u = -12 - -25\/2. What is the closest to w in u, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 8 = -0*o. List the prime factors of 15 - o*(-2)\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 28, 4 in increasing order.\nAnswer: 1, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -6160*y**2. Let z(t) = -200*t + 78. Let h(k) = 77*k - 30. Let c(o) = 13*h(o) + 5*z(o). What is b(c(f))?\nAnswer: -6160*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 12*m**2 + 12*m - 6. Let f(z) = 4*z**2 + 4*z - 2. Let o(c) = 7*f(c) - 2*s(c). Let y be o(-4). Let v = -24 + y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -h**3\/6 - 9*h**2\/2 - 106*h. Let q be s(-4). Is q < -69\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 4*q + 9 = -7, -4*j + 38 = 2*q. Suppose 5*r + 6*u - 55 = u, -r = 4*u - 2. Calculate the lowest common multiple of r and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 94950.48kg?\nAnswer: 94950480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/15*10\/(-4). Let b(m) = m**2 + 3*m - 2. Let c be b(-5). Suppose -2*x = -2 - c. Sort -1, x, s in decreasing order.\nAnswer: x, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 1 + 1)*(64 - 64 - 21*f**2) - 3*f**3 + 4*f**3 - 2*f**3 + (0*f + 3*f - f)*(2*f**2 - 2*f**2 - f**2).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 398657825 to the nearest integer?\nAnswer: 19966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3133187 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: Let r(w) = -w**2 + 12*w - 22. Let q be (-2)\/(-4)*(3 - 9). Let s be (-28)\/q - (-5)\/(-15). What is the units digit of r(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40068 by -4.\nAnswer: -10017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -72149 - -103415. What are the prime factors of r?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11035 + -2003?\nAnswer: 6032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2204 and 1044.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12.75 - 0.00137776.\nAnswer: 12.74862224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -3 + 3 + p + 0. Let c be j(4). Suppose -2*r - 3*k + 14 = 0, -k = -c + 2. Solve -20 + 8 = 2*b - r*v, b + 10 = 3*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (518 - 332 + 792 + (-2 + 2 - 1)*(-2 - 1 + 2))*(4*h - 3*h + 0*h) + (-2*h + 3*h - 2*h)*(3 - 1 + 0) + 2 - h - 2.\nAnswer: 976*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 - 5*z - 35. Suppose 5*u = 8*u - 288. Suppose -2*t - u = 10*t. Does 3 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32399 - 17532 - 9824 = 1615*r for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.04 - -1.04. Let v = -18 - -4. Let h be (-13)\/(-28) + (-4)\/v. What is the third biggest value in 3, h, 2\/5, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49561, 99206, 148851, 198496, 248141?\nAnswer: 297786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*k**4 - 14*k**2 - 136*k + 148125 wrt k?\nAnswer: -12*k**3 - 28*k - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3306 <= -9917\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 0.5  (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 17312889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 18\/(-3)*20\/30. Which is the nearest to 1?  (a) y  (b) 0.2  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*3176942.\nAnswer: -6353884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/9*(2 - 5). Let z be ((-16)\/6)\/(d\/(-18)). Suppose p = 4*p - z. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1762 and 42445699?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46068 by -66.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*b - 50*b + 4 + 17*b + 17*b + 11*b.\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*m - 41 + 41 to b + r*m and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**4\/7 - 4*w**3\/7.\nAnswer: 4*w**3*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*i - 11*i**2 + 11*i - 13*i - 10*i**4 to n*i**3 + h*i**2 + l*i + a*i**4 + o and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 50 + -50. Let j(r) = 8*r + 44. Let v be j(9). Suppose a = -3*u + v + 256. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -2. Let n be 53918\/16 - k\/(-8). Let t = 3380 - n. What is the common denominator of t and 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13949, 27690, 41417, 55124, 68805, 82454, 96065, 109632?\nAnswer: 123149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 942459.\nAnswer: 3, 7, 44879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7\/2711  (b) -1\/4  (c) 34\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 (base 8) in base 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 690 is divided by 230.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + n + 3. Let g be h(-3). Let s be (-205)\/g + 10\/45. Is 4 a factor of (6 - 7)*2 + -1 + s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1762383.932 rounded to the nearest 10000?\nAnswer: 1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 16*g + 63. Give q(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 660122949.\nAnswer: 3, 4999, 44017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ocoo when four letters picked without replacement from ocooooooc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 0 = -g. Suppose c + u - 6*u = -23, -u + g = c. Let d(z) = -z**3 - 5*z**2 - 4*z - 3. Determine d(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 2*a + 8, -4*y - 4*a + 4 + 0 = 0. Let u be (2 + 3)\/(y\/(-4)). Let p(w) = 1111 - 1120 - 2*w + w. Give p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 109155723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 1:46 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -5\/4  (b) 0  (c) 5  (d) -9  (e) 0.02  (f) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 less than -912978?\nAnswer: -913224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -190 and -0.01698.\nAnswer: 3.2262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 + 3*a**2 - 4*a**4)*((2*a + 4*a - 4*a)*(-4 + 1 + 4) - 4 + 2*a + 4) - 2*a**5 - 17*a**2 + 17*a**2.\nAnswer: -18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + 2 + 2 + -1. Let b = c + -4. Let i = b + 4. Put -3, -1, i in decreasing order.\nAnswer: i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 46 and 16298927?\nAnswer: 32597854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**3 + 0*r**3 + r**4 + (-1 - 2*r + 1)*(-1 + r**2 + 1)*(0*r + 9*r - r).\nAnswer: -15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6359, -14052, -21761, -29492, -37251?\n\"Answer: -g**3 - 2*g**2 - 7680*g + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -14*t**2. Let z(s) = -34*s + 22*s - 90*s. What is z(d(x))?\nAnswer: 1428*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -1. Let w(x) = -x - 4. Suppose j + j + 6 = 0. Let y(z) = j*o(z) + w(z). Let u(a) = -2*a - 3. Calculate 2*u(v) - 6*y(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 717 and 381043914.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 2880, 25, 0.5 in decreasing order.\nAnswer: 2880, 25, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, f: 7, y: 4, c: 2}. What is prob of sequence pyyf?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 376\/7 - 54. Let u = -3 + 2.8. Let j = -67 - -206\/3. What is the biggest value in j, u, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1624.9 + 1622.9398. What is z rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t**2. Let z(a) = 6586*a. Give z(n(l)).\nAnswer: 19758*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 93*u**2 - 352*u - 14807. Calculate q(87).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, w: 7, z: 4}. What is prob of picking 2 w and 1 z?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2556 by 6.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 3*r + 72. Let c be n(-23). Suppose -23 = -3*d + 1. Suppose -41*u = -40*u - d. Solve -f - c + u = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.01285 and 0.5.\nAnswer: 0.48715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -13*p + 46. Let q be z(7). Let h = 179\/4 + q. Which is the closest to 1?  (a) -2\/5  (b) -1  (c) h  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36769 times 3245\nAnswer: 119315405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1311, -5362, -12101, -21528, -33643, -48446, -65937?\nAnswer: -86116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38620 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1953527*a**2*h**3*m - a**2*m**2 + 6300*a - 68*h**3 + 3*m**2 wrt a.\nAnswer: -3907054*h**3*m - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 6.5  (c) -1\/1554\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15158 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 19*w**3 - 17*w + 17. Let i = 18 - 1. Let k(d) be the first derivative of -3*d**4\/2 + 3*d**2 - 6*d + 77. Determine i*k(m) + 6*c(m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*d = -17*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/106690 and -29\/480105.\nAnswer: 960210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.573343 decades?\nAnswer: 68.80116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 814.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3973 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: b\"What is the uth term of 5813, 11345, 16631, 21671, 26465, 31013, 35315?\n\"Answer: -123*u**2 + 5901*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002 minus -0.58?\nAnswer: 0.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46.890972 milliseconds to hours.\nAnswer: 0.00001302527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 3041 divide 2687416848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.3623 times -0.4?\nAnswer: -0.94492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 + 6*t**2 - t - 3. Let i be h(-6). Let a(b) be the first derivative of -b**2\/2 + 9*b - 1. Let j be a(5). Solve j - 13 = i*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1734 + 161?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4115\/(1 + 0) + -6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -8. Suppose -5*f + 0*n = -2*n - 3, -4*f = -3*n - g. Let b(p) = -p - f - 1 + 0*p. Determine b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6589844 + 2973644. Round s to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51246, -51223, -51246, -51321, -51454, -51651, -51918?\nAnswer: -52261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*o**2 - o - 799*o**4 + 47 - 740*o**3 + 800*o**4 + 740*o**3 to the form l*o + x*o**4 + i + j*o**3 + c*o**2 and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 76323281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-27)\/((k**8\/k*k*k)\/k)*k\/(k\/k**(27\/2)*k*k*k)*(k*(k*k*k**(-5)\/k)\/k)\/k assuming k is positive.\nAnswer: k**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (27\/6)\/((-6)\/(-8)). Let v be f\/((1 - 0)*-1). What is the tens digit of (-33)\/(-2)*v\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 198 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 379372 and 102?\nAnswer: 1138116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26 - -24.6. Let h = 0.6 - r. Let x = 4 + -4.1. Which is the biggest value?  (a) x  (b) -2  (c) h  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -10845, -12151, -13457, -14763?\n\"Answer: -1306*n - 9539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 less than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -5*t + 0 - 5\/4*t**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21372*g**4 - 41923*g.\nAnswer: 256464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of 2*i - 1\/6*i**3 + 0 + 3\/4*i**4 + 0*i**2. What is the units digit of z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3\/3 + 10*m**2\/3 - 29*m\/3 + 20\/3.\nAnswer: -(m - 5)*(m - 4)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 - 37*c + 2*c**3 - 42*c + 113*c - 2*c**2 - 32*c to v + n*c**2 + u*c + h*c**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 - 17. Suppose 110 = p*c + c. Suppose -5*b + 0*b + 10 = 0. Solve 5*z + 7 = 2*z - 2*h, c = -b*z + 3*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 4:12 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -107707145*f**3 + 84020511*f.\nAnswer: -646242870*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(2448) + 0 + sqrt(2448) - sqrt(2448).\nAnswer: -2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8526, -13726, -22386, -34500, -50062?\n\"Answer: t**3 - 1736*t**2 + t - 6792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 6. Let o be 4 + (-4)\/2 - g. Let b(c) = 3*c**2 - 3*c - c - 2 - 5*c**2. Calculate b(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {g: 7, e: 5, z: 7}?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-12)\/42 - (-177)\/(-420). Let s(b) be the first derivative of -3\/10*b**2 + n*b**4 - 3\/5*b**3 + 2 + 9\/25*b**5 + 0*b. Determine k so that s(k) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45388, -45183, -44978?\nAnswer: -44773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-5))\/(-2 + (-45)\/(-18))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30 + -30. Solve 6\/5*p**5 + 0*p + 4\/5*p**2 - 8\/5*p**4 - 2\/5*p**3 + o = 0 for p.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -96 - -16380988?\nAnswer: 16380892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/3 and ((-210)\/(-12) - 6)\/((-24)\/2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {h: 1, i: 3, j: 3, c: 3, f: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 7*j + 1. Let g be z(-1). Let p = 4 + g. What is the nearest to 1 in p, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3432749 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 212.47  (c) -195  (d) 0.2  (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1485 and 1155.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 304 and 76.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4, 17, 66, 169, 344, 609, 982, 1481?\n\"Answer: 3*s**3 - 8*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -1 - -10) + (-1 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-10)*15\/(-6). Let v = -548.151 - -548. Let w = -1.849 + v. What is the nearest to 0.8 in w, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/(-33)*(-1)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*v + 20 = -19*v + x, 0 = -2*x + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 AM and 3:28 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21821401 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2734960 divided by -16088.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**4 - 28*t**3 - 90*t**2.\nAnswer: -2*t**2*(t + 5)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - 2*j**2 + 3*j + 3. Let u be z(-3). Suppose u*t + 4 = 5*t. Suppose -t*i + 26 = 4*h, h + 2*h = -5*i + 100. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 + 20*m + 42. Let g be p(-18). Suppose g*a - 9*a + 4*u + 124 = 0, a = -u + 32. What is the nearest to a in -5, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40515 (base 6) to base 8.\nAnswer: 12377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 1225 = 1663. Suppose -n = 3*n - v. Suppose 4*o = n + 1146. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 - 5*g + 2. Let r be p(5). Let i = r + -2. Solve h = -3, i = -4*f - 2*h + 5 - 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9.4 in -0.4, 2, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5681*z**3 + 1651*z**2 + 235051515 wrt z.\nAnswer: 17043*z**2 + 3302*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -18.6885 times 6\nAnswer: -112.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3683 - 29529\/8. Let p = 113174693\/22 + -5163142. Let y = 18842 + p. Calculate the common denominator of y and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 8:47 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l. Let i be t(0). Let y = 1 + i. Suppose 4*f - y = 47. 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 a be ((-9)\/(-9))\/(1\/32). Let g = a + 21. What are the prime factors of g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 7098252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j = -4*i - 2*j - 116, -j = i + 38. Let u be (-15)\/35 + i\/(-14). Solve -5*y + u*y - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 3, 14888, 22 in ascending order.\nAnswer: 2, 3, 5, 22, 14888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 - 11. Suppose 0 = o*d - 26 - 70. Calculate the greatest common divisor of 128 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o**2 + 3*o + 52. Calculate b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 37097501 to the power of 1\/2, to the nearest integer?\nAnswer: 6091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -4*r**2 + 3*r**2 - 3*r**2 + r**2. Suppose 31*w = 29*w + 4. Let s(j) = 4*j**2 + 4*j**w - 9*j**2. Give x(s(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*p + 4719 + 5361 = 0 for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 79*x + x**2 + 9*x + 10*x - 4*x to y*x**2 + o*x + l and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of -a**9\/12096 - a**8\/2240 + a**6\/360 - 23*a**3 - 2*a**2 - 20. Let v(l) be the first derivative of i(l). Factor v(b).\nAnswer: -b**2*(b - 1)*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-6))\/(5\/640). Let y = l - -90. Let h be (-2124)\/(-90) - ((-12)\/15)\/2. Is y greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 1 - 4 - 2*i - 3. Suppose -8 = -2*r + 5*n, 3*n - 2 = 3*r + 4. Let c be y(r). Solve -12 = -2*p + 5*d, 0 = -4*p + 2*p + 2*d + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -29*o + 1. Let g(i) = 88*i - 4. Give 7*c(w) + 2*g(w).\nAnswer: -27*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22228 and 10676.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - -23. Let c = p - 4. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/572 and 101\/1966580.\nAnswer: 25565540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07*0.26.\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 605, 602, 597, 590, 581, 570?\n\"Answer: -s**2 + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5200) + (sqrt(5200) - 5*sqrt(5200)))\/(2*sqrt(4)*-1).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 1 - 5. Let s be (-3 + -3)\/(a + -2). Solve -s = -3*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 4*a - 2502, 981 = 2*w - 0*w - 5*a. Suppose -4*j = 17 - 5, -3*t + j = -w. Suppose 5*h + 0*h - t = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 97502\/8 + (-5)\/(-60)*3. Let x = g + -8209. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2856.11 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 8*c**3 + 40*c**2 + 17*c + 32. Calculate m(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*l + 147 + 16*l + 17*l - 707 + 560 - 67*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6823 = w + 4*j, 3*w + 107*j - 106*j - 20436 = 0. What are the prime factors of w?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 5*y - 10. Give r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10424, 10758, 11092?\nAnswer: 11426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 3*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 734, 355, -278, -1165, -2306, -3701, -5350?\n\"Answer: -127*v**2 + 2*v + 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 423996750 by -9422150.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10819273351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 12) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d - 16. Let r be l(14). Let c = -1738 - -13859\/8. Find the common denominator of c and (34\/12 - 3)\/(r\/(-135)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -132928695 > -132928695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 328807, 1315210, 2959215, 5260822, 8220031, 11836842, 16111255?\n\"Answer: 328801*l**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -18163546, -18163480, -18163414, -18163348, -18163282, -18163216?\n\"Answer: 66*d - 18163612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*o**2 + 2*o**2 + 740 - 769 to the form l*o + f + u*o**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1*4222\/(-4))\/(45 - 364\/8). Calculate the highest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 108380 and 1007934.\nAnswer: 10079340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 18*t - 88. Let g be l(4). Which is greater: 3\/217 or g?\nAnswer: 3\/217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1651261539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of c**3\/3 - 7*c**2\/2 - 2. Suppose -t = -h + 11, -2*h + 7*h - 55 = -t. Suppose 2*a + 0 = g + h, -a - 4*g = -19. Give y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13363?\nAnswer: 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (21 + -13) - (-5 + 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 348829*y**3 - 348827*y**3 - y + 4 - 29 - 5*y**2 + 5*y**4 to the form r*y**3 + s*y + k*y**2 + t + d*y**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5427649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -833.7083 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 3*c + 24, -159 = -y - 2*c. Let j = -17 - -40. What is the remainder when y is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -10*r + 39252. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15062?\nAnswer: 2, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 15*h - 1121. Determine o(54).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(2\/3))**28*(m*m**1*m)\/m*(m**8*m)\/m)**(-44) assuming m is positive.\nAnswer: m**(-3784\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 - 4*x**2 - 5*x - 3. What is g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4367\/14 - 1855\/6. Calculate the common denominator of j and 302\/(-3)*(-1)\/8.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2060 by -53.\nAnswer: -2060\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -51 + (104 - 30) + -24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 1474.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 3*b + 3593 = -2347, -3*t - 4*b + 5937 = 0. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 10 + 436*u**2 - 616*u**2.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34651 + 34653. Sort 171, 0.3, l, -4 in decreasing order.\nAnswer: 171, l, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58 + -4 + (-57 - (24 + -101)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 383 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000003696245 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2488.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 11 = -4*h, 3*c = -2*c + c - 7*h + 15 + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*m - 54*m + 18*m + 16*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9884 by -706.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1478979 at least as big as 1478981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38 - 12 - 7)*(74*x**2 + 12*x**4 - 74*x**2 + (3*x**2 + x**2 - 5*x**2)*(4 - 4 - 2*x**2)).\nAnswer: 266*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2122*q - 16 = -2120*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -495, -502, -511, -522, -535, -550, -567?\n\"Answer: -c**2 - 4*c - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1436, -1585, -1734, -1883, -2032, -2181?\n\"Answer: -149*f - 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002422 rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*o + 1148 = 85*o - 2492 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28129 + -5697. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 155.6181 millimeters to micrometers.\nAnswer: 155618.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 489804157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*p + 728, 3882*q - 3887*q + 4*p = 127 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 4*h**5\/7 + 152*h**4\/7 + 1504*h**3\/7 + 3336*h**2\/7 - 1980*h - 6048 = 0.\nAnswer: -24, -7, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2610 by 3.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 335 - 209. Suppose 0 = 2*k - 0*k - s. Calculate the greatest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 7*d - 5 to the form r*d + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*n + n**5 - 7*n - 2*n**3 + 2*n**3 - 2*n**5 + 4*n**5 - 4*n**5 + n**5 + (n**2 - 2*n**5 - n**2)*(-4 + 3 + 2) - 6*n**5 - n**5 - 3*n**5.\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20220111 - -222002221?\nAnswer: 1020000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -59092 times 0.569?\nAnswer: -33623.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 674 is divided by 112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 158434 and 602878?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/158041 and 22\/325.\nAnswer: 3951025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - 3*sqrt(448)) + (-2 + sqrt(252))**2.\nAnswer: -47*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 2*m - 8*m)*(m**4 + 0*m**4 + m - 2*m).\nAnswer: -9*m**5 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -6 + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 11:59 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 1 + -2 + 2. Sort -2, l, 2.\nAnswer: -2, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - 478088*m + 6693008. Determine n(14).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 147484 times -0.8?\nAnswer: -117987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.22 + 0.12. Which is the closest to g?  (a) 2\/5  (b) 0  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 9*x + 4*x = -20, 0 = l - 3*x - 5. Let o be -1 + 4 + (-16 - -11). Put -3, l, 1, o in descending order.\nAnswer: l, 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/63379 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 19. What is the third biggest value in n, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 65*j**5 + 1293*j**4 - 596828*j + 1 wrt j.\nAnswer: 1300*j**3 + 15516*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -404 = -906*n + 3724 + 1962 - 654 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 240674, 240681, 240690, 240701?\nAnswer: 240714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/((-1)\/(11\/(-2))). Let w be (3\/h)\/((-9)\/12). What is the biggest value in -4, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 k, and 1 z when three letters picked without replacement from {z: 1, k: 5, w: 1, v: 1, o: 1, q: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + l + 4. Let a be i(3). Let r be (a + 4)\/((-2)\/5). Let v = 472 - 476. What is the nearest to -1\/3 in r, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + (2 - (-28)\/(-8)). Let n = -92 + 81. Let m be n\/(-66)*(-3)\/2. Which is the second biggest value?  (a) h  (b) m  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/22*(-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 349?  (a) 5  (b) -5  (c) -7  (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 + 9*i - 11. Let l be u(-9). Let g = l - -11. Suppose 22 + 4 = 2*n - 4*h, 3*n - 27 = 3*h. Sort 4, g, n, -2 in decreasing order.\nAnswer: n, 4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3531907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**8)\/j**(-1))**(-26\/5)*(j*j**3*j**2*j)\/(j\/(j\/((j**(1\/7)\/j)\/j))*j**2) assuming j is positive.\nAnswer: j**(1332\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z. Let h(p) = 7863*p**2 + p - 3. Determine j(h(x)).\nAnswer: 7863*x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5156, 25010, 58096, 104414?\n\"Answer: 6616*w**2 + 6*w - 1466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 144\/18 + (-56)\/532*-19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 13*g - 48 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 787163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**3 + j**3 + 0*j**3)*(1 + 0 - 3)*(-7 + j + 7)*(6*j - 3*j - 5*j).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90044, -180085, -270126?\nAnswer: -360167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 5*h - 22, y - 6*y = -h - 13. Let t = -5 - -13. Solve 4*i + t = h*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*f - 5*f + 0*f)*((-2 + 1 - 1)*(4*f**2 + 5*f**2 - 5*f**2) + 2*f**2 + 9 - 9 + 6*f**2 + 2*f**2 + f**2) to n*f + a + s*f**3 + x*f**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s**2 + 20*s - 7. Let t be x(4). What are the prime factors of t\/(-20)*(-7160)\/30?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/19 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 11:17 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -679484*s + 2001338.\nAnswer: -679484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -107\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -517 divided by -3135647\nAnswer: 517\/3135647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1.629+314264\nAnswer: 314265.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5705711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 21711401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 2) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 100 - (0 - 4\/2). Suppose 0 = 2*i - 2*a - c, 0*i - a = 3*i - 169. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9 + (-6 - -4) + 539. Solve 0 = -538*d + t*d + 48 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-34)\/(-30) - 18*6\/135. Let q = -9.3 - 50.7. Are l and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 187110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of (-1364)\/496 - 20827\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that m**2\/2 - 9*m + 81\/2 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 3 + (14 - (-4 + 29))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 26*f**2 + 25*f. Let b be s(1). Suppose 0*r**2 - 3*r**3 + b*r + 0 + 15*r**4 - 75\/4*r**5 = 0. Calculate r.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2 + sqrt(1053)*-1 + 2).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*g - 6. Let t = 5 - g. Suppose t = -2*x - 8. Which is bigger: x or -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -520 = -10*l - 0*l. Suppose -l = -s + a + 55, -119 = -s - 3*a. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 26*a + 14. Let o be (24\/(-4) + 5)\/(2\/4). Let w = o - -19. Let r(x) = -9*x - 5. Let m(v) = w*r(v) + 6*f(v). What is m(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 298b (base 12) to base 7.\nAnswer: 20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 6*c = 0. Let l = 5 - c. Suppose -d + 1 = -0*d. Put l, d, 3 in ascending order.\nAnswer: d, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 7. Let r = -16003\/55986 + 1\/7998. What is the smallest value in 8, v, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1352431901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nqkt when four letters picked without replacement from kqjlljntlqllll?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-22*p**3 - 29*p**3 + 15*p**3)*(2*p + p - 2*p) + (-2*p + 2*p + p)*(3*p**3 - 2*p**3 + 0*p**3) to v*p**3 + z + o*p + a*p**4 + g*p**2 and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25 - -3) + 3 + (-79 - -86)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 235*u**2 - 11*u**2 + 386*u**2 as j + d*u**2 + t*u and give d.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -1065*m. Let n(c) = -7*c**2. Determine n(w(x)).\nAnswer: -7939575*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 514 and 40863?\nAnswer: 81726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2457\/594037?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of y**7\/63 - 2*y**6\/9 + 4*y**5\/5 - 11*y**4\/9 + 7*y**3\/9 + 13*y - 13. Solve z(i) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -723 - -723. Solve -4*w = -z*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -8*c + 1. Let z(i) = 153*i + 5078. Determine 38*s(d) + 2*z(d).\nAnswer: 2*d + 10194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 + -14.85. Let z = -0.85 - s. Let k = 27 - 217\/8. What is the closest to z in 2\/3, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 3\/4*f + 1\/12*f**2 = 0. Calculate f.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 2)*(-1 + 0 + 2)*(0*v**2 + 0*v**2 - v**2) to m + a*v**2 + r*v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2099 + -7edf?\nAnswer: -5e46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 71257 or 72645?\nAnswer: 72645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -3*w - 6. Let i be y(-3). What is the derivative of -2 + 12*k**i - k**3 - 12 wrt k?\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 4*z - 90 = 0. Suppose -4*w = -3*w - 2. Suppose -f = -u + 31, -w*f = -7*f - 20. What is the highest common divisor of u and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2342 + 4?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -112 and 3109613.\nAnswer: 3109501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 2*x**2 + 13*x + 31. Let c be r(-3). Let g(n) = 10 - 2 + n**3 + 8*n - 11*n**2 + 7. Let h be g(c). What is the third biggest value in -0.1, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -88*r**4 - 4*r**2 + 41*r wrt r.\nAnswer: -2112*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 13*v - 27. Let i = -23 - -8. Let s be l(i). Suppose -2*c + 12 = -4*r, 7 = -s*c + r + 50. Calculate the lowest common multiple of c and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 - 14*s**2 + 73*s + 20. Let t be a(-18). Solve -29 = 3*n - 5*y, t*n - 19 = 7*n - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.01 - 0.09. Let h = -0.21 + 0.21. Which is the nearest to 0?  (a) h  (b) t  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v**2 - 13*v - 9*v + 28*v)*(v + 2 - 2).\nAnswer: -5*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from cdjcd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -5*t + 16 + 49, 29 = 3*t - h. Solve -t = -22*r + 20*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.862161 rounded to three decimal places?\nAnswer: 18.862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 46629325248*r**2 + 46629325248*r**2 + 5*r**3 + 5.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.78 - -0.18. Let z = g - -0.6. Which is the second smallest value?  (a) 0  (b) 3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 301039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (4 + 0)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-145)\/10)\/(3\/(-42)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 0*y**4 + 7\/2*y**2 + 1\/20*y**5 - 2*y + 1\/2*y**3 + 0. Is j(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3239 - -3265. Let r(n) = 2*n**2 - 5*n + 3. Let x be r(8). What is the greatest common divisor of x and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32 + 31. Sort w, -4, 4, 5 in increasing order.\nAnswer: -4, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21\/10 + 97\/20. Find the common denominator of ((-10)\/3)\/((-28)\/(-357)) and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 3 + 1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t + 222. Let z be q(-36). What is the highest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -20*p - 21. Is a(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 640\/11 - 2105\/22. Find the common denominator of d and -125\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 27, 25, 1, -51, -137, -263?\n\"Answer: -h**3 - 5*h**2 + 20*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = 12272*n - 12269*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -40 + 45. Suppose -s*r + 7*r = 4. Solve 0 = -5*j + r*w - 0*w - 15, -5*w = 3*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 146328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/3)\/(2\/6). Let j(p) = 6 + 14 + 71*p**2 - 8*p - 7 - 70*p**2. Let m be j(6). Put m, 5, k in descending order.\nAnswer: 5, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1061.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -341*w + 355?\nAnswer: -341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 13 - 43. Let x = 27 + l. Suppose 3*d - x = -d. Let y(n) = n**2 - n + 1. Calculate y(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173371907 is divided by 293.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - -de?\nAnswer: e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -143214300 (base 5) to base 12\nAnswer: -30640a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 800231 is divided by 1725.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 + 12*n + 23. Let t be y(-2). What is the hundreds digit of (3\/t)\/((-35)\/7350)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 4*p = -35 - 53, 4*b + 2*p - 60 = 0. Suppose -4*x = -0*x - b. Suppose 103 = x*o + 19. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 23 and 299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in 307, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -83 + (-3 - -6) + 2. List the prime factors of (-8)\/6*c\/4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 10 - 2 = 0. Suppose i + 4 = 4*a + 30, -14 = i + 4*a. Let x(t) = -t**3 + 6*t**2 + t - 3. Let m be x(i). Solve m*q = -11 - y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 9*d = 3*n - 11, -4*n + 20 = 0. Let w be (-12)\/3 - (-125304)\/d. Round w to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1100*n**3*v**2 + 2*n**3 - 5*n**2 + n + 4*v**2 wrt n?\nAnswer: -6600*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*k + 9*k - 41*k + (k - 1 + 1)*(3 - 5 + 1))*(-k**2 - 2 + 2).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c**5\/4 - 3*c**4\/2 + 63*c**3\/4 + 33*c**2\/2 - 30*c = 0.\nAnswer: -5, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10499648 is divided by 1146.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 5*k**3 - 180*k**2 + 945*k - 1350 = 0.\nAnswer: 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1578 a factor of 11681401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-15)\/b**(-2\/27))\/(b**(-19)\/b*b\/(b\/b**(-12))))**(-29) assuming b is positive.\nAnswer: b**(-13369\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 16622 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/8658584 and 13\/425832.\nAnswer: 25975752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12288 = -653*n - 1152 - 8109 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 3*r. Suppose r = q + 4*p - 2*p - 287, 5*p + 20 = 0. Suppose 5*k = 5*s + q, 2*k = k + 3*s + 67. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 379 is divided by 70.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1.184 * 313\nAnswer: -370.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v**3 + 9 - 9 + (4*v**2 - 3*v**2 - 2*v**2)*(2*v - 2*v - v) + 3*v - v**3 - 3*v + 0*v**3 - 3*v**3 + 2*v**3 as s*v + r + g*v**3 + n*v**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -156651 (base 7) to base 10\nAnswer: -31200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 500654017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: 2296\/105 - (-704)\/(-32)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217945039?\nAnswer: 13, 547, 30649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.44 + 439.56. Let s = i - 448.8. Which is smaller: s or 23\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u - 15 - 3*u - 2*u. Does 25 divide d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 11:28 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 467.4 and -0.92.\nAnswer: 466.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/1818472 and 40\/9?\nAnswer: 16366248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19728 and 7848.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - -23. Let x be -2 - (3 - (-1 + a)). Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29507, -28390, -27271, -26150, -25027?\nAnswer: -23902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 - (-4 - -5)) + 3. Suppose -10*k = -6*k - s. Suppose -c + 4*j + k - 3 = 0, 2*c + 4*j - 22 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 206960 and 2985.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 - 8*j - 9. Let g be u(-9). Let k be g\/(-9*(-1)\/6). Let f = 4 - k. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1422?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4127304, -4127306, -4127308, -4127310?\nAnswer: -4127312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of v**4\/24 + 23*v**3\/6 + 3*v**2. Let n be w(-15). Solve -3*r = -5*r + n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -250*w**4\/3 - 57482*w**3\/15 + 565828*w**2\/15 + 447288*w\/5 - 1296 = 0. What is w?\nAnswer: -54, -2, 9\/625, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -250?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -7*n**4\/4 + 7*n**2\/2 + 2*n - 29. Let f(u) = -6*u**3 + 6*u + 2. Give 5*d(t) - 6*f(t).\nAnswer: t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 455 = f, -5*f - 1004 + 3311 = -3*t. What is the units digit of 1\/(-2) + f\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000333627 rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + 3\/(-1) - -7. Let a(p) = 67*p**2 - 7*p - 3. Let t be a(n). Suppose 0 = 22*u - 19*u - t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) -1578  (c) -1881\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*t - 927914 + 927827 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/70 and 145\/50106.\nAnswer: 250530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 1\/3, 299, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 266.\nAnswer: -3\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 271, 874, 1669, 2752, 4219?\nAnswer: 6166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -42, -81, -134, -207, -306, -437, -606, -819?\n\"Answer: -j**3 - j**2 - 29*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3757940300 to the nearest 1000000.\nAnswer: -3758000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: 5 - (1 + 7) - 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 17, -53, -199, -415, -695, -1033, -1423?\n\"Answer: u**3 - 44*u**2 + 55*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 5*t. Solve s = -t*s + 5*b - 12, 4*s - 2*b = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = j - 20395, 83*j - 2*d = 82*j + 20387. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 204 from 0.017.\nAnswer: -203.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 + 10*j - 16. Let k be q(-22). Let l = -221 + k. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 2002741 = -5*z - 9*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 - 31. Is ((-16)\/4 - w) + 574 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -24  (b) 6198185  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*(1 - 3*r - 1)*(5*r**2 - 3*r**2 - r**2)*(r + 0*r + 0*r).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.59842426 rounded to 4 decimal places?\nAnswer: 0.5984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(21\/4))\/((((r\/r**(-26\/5))\/r)\/r)\/r*r) assuming r is positive.\nAnswer: r**(-169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.036767 and 0.021.\nAnswer: 0.057767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 2\/11, -16739565 in descending order.\nAnswer: 2\/11, -0.5, -16739565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 - 4*q**2 + 3*q + 1. Let r(i) = -i**3 - i**2 - i - 1. Suppose -3*t = -4*p + 15, -4311 = -4*t + 2*p - 4321. What is t*w(s) - 3*r(s)?\nAnswer: 2*s**3 + 7*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 2*o - 58, 7*o = -5*t + 2*o + 95. Is 16 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 11*l - 2. Let w(y) = 69*y - 438. Determine g(w(v)).\nAnswer: 759*v - 4820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 9 + 99 = 0. Let s(k) = -k**2 + k**2 + k**2 + j + 5*k - 32. Suppose -2*q = 5*h + 30, -11*h = -7*h - 3*q + 24. Determine s(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**3 + 6*s**3 - 4*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 434 - 430. Which is the fourth smallest value?  (a) u  (b) 5  (c) 0.1  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + 3*v**2 - v**4)*(v - 2 + 0*v - 3) + 2*v**3 - v**5 - 2*v**3.\nAnswer: -2*v**5 + 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of 1\/12*g**5 - 1\/8*g**4 + 0 - 5*g**2 - 2\/3*g**3 + 0*g - 1\/120*g**6. What is b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/4 and 119\/2321076?\nAnswer: 2321076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1691 divided by 1?\nAnswer: -1691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 19*d - 12*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-35)\/(-35)*(-6)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 197903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + 37 + -140 + 85.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of 2*n**2 + 6*n + 1\/4*n**4 + 16 - 2*n**3. Let b be -1 + 1 + 1 - -4. Calculate r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3200)\/(-55)*3\/(-2). Let q = 113635\/1309 + v. Let h = 3\/17 + q. What is the second biggest value in -2\/3, h, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c**3*i + 1050*c**2 + 84*c*i wrt c?\nAnswer: -12*c*i + 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -12 - -4 - (0 + 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 40221 + 2\/(-3)*(-6)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8100 = -40*g + 34*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -321115, -642236, -963357, -1284478, -1605599, -1926720?\nAnswer: -2247841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8028162 to the power of 1\/2, to the nearest integer?\nAnswer: 2833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/84)\/((-2)\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 8*v + 2. Let n(d) = -20*d - 90. Let l be n(-4). Let y(x) = x + 1. Determine l*y(j) + z(j).\nAnswer: -2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 3:55 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -220, -454, -712, -1006, -1348, -1750, -2224?\n\"Answer: -2*g**3 - 220*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3\/8  (b) 0.5  (c) 2\/7  (d) 323732\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 45 = 2*t. Suppose 396 = 5*n - 2*n - 3*z, -5*n = z - 678. What is the greatest common factor of n and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*(2\/(-2))\/(-1). Let h = -1233 - -1281. What is the greatest common divisor of u and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*j + 6*j. Suppose -3*f - 3 = -j*f. Suppose -125 = -5*d + f*i + 86, d - 4*i - 32 = 0. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (i**2 - 3 + 3)*((-2*i - 2*i + 2*i)*(-2*i + 0*i + 3*i) + (106 - 39 + 235)*(-i**2 + 0*i + 0*i)) as o*i**2 + l + h*i**4 + k*i + u*i**3 and give h.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -552, -1074, -1596?\n\"Answer: -522*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44615.\nAnswer: 5, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8289622\/(-336) - (-2)\/7. Let y = 24667 + o. Find the common denominator of y and 101\/22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/1051248 and -19\/40.\nAnswer: 5256240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -3*l - 18 + 118, -95 = -4*l + 5*i. Suppose -l*m + 13088 = -22*m. List the prime factors of m.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7)\/28*-4*4. Let k(i) be the second derivative of 1\/12*i**j + 0 - 5*i + 0*i**2 + 1\/6*i**3. Find a, given that k(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -84.96 + 78. Let f = 5.866 + m. Let n = -0.094 - f. What is the biggest value in n, 20, -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 1, 0, -6 in decreasing order.\nAnswer: 1, 0, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + (sqrt(13) - (3*sqrt(13) + 1)))**2) + 4.\nAnswer: -10 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 273352.357 to the nearest 100.\nAnswer: 273400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 2.57, -2, -174, 4?\nAnswer: 2.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*y + 1119 + 0*y**2 - 568 + y**2 - 551.\nAnswer: y**2 + 67*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1122.99999711 - -1123. Round m to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -172*(-8)\/32 + 876\/511*14\/3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 26*f + 24*f - 44*f - 4 + f**2. Let n(m) = -m + 7. Let d be n(3). Suppose 3*t + 5*r - 5 = 0, 0 = -d*t - t - r - 21. Determine w(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 4*z - 28. Let c be p(8). Let w be (39\/c)\/(15\/40). Suppose 3*r + f = -4*f + 28, -3*r - 4*f + w = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 410, 1211, 2698, 5099?\nAnswer: 8642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36.24 + 37.04. Which is the biggest value?  (a) 0.1  (b) -5  (c) 0.2  (d) h  (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2114 is divided by 175?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -19, 6, -2 in decreasing order.\nAnswer: 6, 0, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of o + 167. Let u(r) = 3*r**3 + 8. What is -3*f(g) + u(g)?\nAnswer: 3*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 171036 (base 9) to base 6\nAnswer: 2133310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 + 4*c. Let t be i(5). Let p(j) be the first derivative of -j**4\/4 + 5*j**3\/3 + 3*j**2 + 3*j + 28. Is p(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -u**7\/2520 - u**6\/360 - u**5\/120 - u**4\/72 - 7*u**3 + 5. Let w(z) be the third derivative of r(z). Factor w(s).\nAnswer: -(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nol when three letters picked without replacement from {o: 2, l: 1, z: 2, i: 1, u: 1, n: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 2*j + 3183*j**3 - 3170*j**3 + 5*j as g*j**2 + m + d*j + x*j**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 166 = -d, -d - 4*d = -5. Let x = u - -74. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14 times -2.217?\nAnswer: -0.31038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 20 = -0*r. Factor 4*i**5 + i**3 - i**5 - r*i**5.\nAnswer: -i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 16. Let y(k) = -80 + 28 + 25 + 25 + k. Calculate y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 4 + 8*f - 4.\nAnswer: 8*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 247128516 divided by -1494?\nAnswer: -165414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1.46  (b) -0.04  (c) 3  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 4) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -80\/3 + 26*a + 2\/3*a**2.\nAnswer: 2*(a - 1)*(a + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -82 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002254111105 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/3))**46)**(-3\/17)*(q**7*q)\/(q*q*q**(4\/5))*q**(-1)\/q*q*q**(-3\/5) assuming q is positive.\nAnswer: q**(-154\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.77456042 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.35 + 4.35. What is the closest to 0.05 in -9\/4, 3\/2, c?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*q**4 + 1082*q**3 - 2*q**2 + 41*q - 837954.\nAnswer: -8*q**3 + 3246*q**2 - 4*q + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 7. Let x be 4\/(-3)*(-4428)\/144. Let p = x + -245\/6. Put -5, f, p, -1 in ascending order.\nAnswer: -5, -1, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -280*l - 1086. What is h(-8)?\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/4 and -29\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*c - 33. Let t = 377 + -366. What is the lowest common multiple of t and c?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.078 + 0.078. Let n = -409 - -409.5. What is the second biggest value in l, n, 3\/8, -0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -10, -620.8, 520?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30.77 - -30.47. Let x = 20 - 38. Let f = -19 - x. Which is the third smallest value?  (a) i  (b) -0.03  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5*o - 156583 = h, -3*h + 104407 = 2*o. What are the prime factors of o?\nAnswer: 2, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the third derivative of r**6\/40 - r**3\/3 + 4*r**2. What is the derivative of p(n) wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 4*b - 30, 0 = -0*m - 2*m - 5*b + 33. Suppose 2*k + j - 13 = 0, -21 = -4*k + j - 4*j. Let g = k - m. Which is smaller: g or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3279761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 6*t - 10. Let o be i(8). Let r(q) = q**2 - 3*q + 1. Let g(x) = 18*x + 1. Calculate the remainder when g(3) is divided by r(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h + 18. Let a be b(-11). List the prime factors of a\/((-7)\/(-30)) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -184 - -78. Let z = l + 157. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*l = 215 - 187 - 1176 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**5 - 5*t**4 - 10*t**3 - 8*t**2 - 2*t - 1. Let w(k) = -1 + 0 - k**2 + 10*k**3 - 11*k**3. Let a(f) = 2*j(f) - 2*w(f). Let a(n) = 0. What is n?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366940 rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 PM and 2:37 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-14)\/(-35) + 11183\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/621 and 18\/(-5175)*(-22440)\/(-288).\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 1047*i**2 - 4188*i - 1396. Let f(l) = -l**2 + 3*l + 1. What is -4188*f(z) - 3*h(z)?\nAnswer: 1047*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -568 - -766. Calculate the lowest common multiple of 126 and i.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 4*g. Let r be p(2). Let z(a) = -a**3 + 8*a**2 - a + 8. Let o be z(r). Let v(j) = 1. Let x(t) = -t + 5. Let y(q) = -6*v(q) + x(q). Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + l + 1. Let u(n) = -n**3 - 2*n - 6. Give 2*j(b) + u(b).\nAnswer: b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*d + 4*d. Suppose 5*u + 10 = -185. What is the tens digit of 5 + 0 + d - u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36239223, -36239218, -36239209, -36239196, -36239179?\nAnswer: -36239158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 888.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(171) - (sqrt(171) + sqrt(171)*2 - sqrt(171))) + sqrt(171) + sqrt(171))\/sqrt(9) - ((1*sqrt(2299) - sqrt(19)) + 1))**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {v: 6, w: 1, n: 1, l: 1, p: 1, r: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.04 - 3.04. Which is the nearest to -1\/5?  (a) 3  (b) -2  (c) i  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-14)\/49*21\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 521.3815026 + -0.4158026. Let a = r - 521. What is a rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -261392*h + 523423*h - 262018*h.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 9638 = 37804. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -93.2 - -93.3. Let k = -5.6 - -6. What is the nearest to -3 in k, a, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 - 5*b**2 + b + 7. Let k be (80\/12)\/(-4)*3. Determine x(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 931 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence myue when four letters picked without replacement from {q: 1, u: 1, y: 2, t: 1, m: 1, e: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/226615140 and -5\/9?\nAnswer: 226615140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/5)*b*b*b\/b**(-12))\/(b**(2\/11)\/(((b\/(b*b*b**(2\/3)*b))\/b)\/b)) assuming b is positive.\nAnswer: b**(1609\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gedagaegggekkacgdkg. What is prob of picking 1 k and 1 d?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bwwwbpsbewwwspbwkpbw. What is prob of sequence kbb?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - k, -2*c - c - k = 0. Suppose c*s + 24 = 2*s. 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 the smallest common multiple of 393 and 1098?\nAnswer: 143838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 7. Suppose 0 = l - 2 + 1. Sort v, -4, l in increasing order.\nAnswer: -4, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1746 divided by 1650\nAnswer: -291\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 - r - 1. Let u(c) = 14*c**3 + 5*c**2 + 6*c - 142. Let n(s) = 6*p(s) + u(s). Differentiate n(t) with respect to t.\nAnswer: 60*t**2 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -553397\/2830850 - -61\/5147. What is the common denominator of o and 163\/660?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 1424*z**2 - 18*z + 35. What is the tens digit of i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -3*w**5\/20 - 3*w**4 - 11*w**3\/2 - 120*w. Let o(m) = 0. What is m?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15\/4 in 1, 4, -58, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q**2 + 12*q + 29. Let z be (-16)\/(-104) + (-140)\/65 + -3. Calculate h(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -142 - -141. Let x be ((-5)\/w + -4)\/(-1). Let k(o) = 15*o**2 - o. Give k(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21246*i**3*y - 3*i**2*y - 12*i**2 + 56*y wrt i?\nAnswer: 127476*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 7 - 10)*(7*r**4 - 24*r**2 + r**4 - 6*r**4).\nAnswer: -16*r**4 + 192*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (j + 3*j - 6*j)*(16*j - 6 - 52*j + 7) as d*j + x*j**2 + n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g + 8. Let i(b) = -b**3 + 9*b**2 - 9*b + 2. Let z be i(8). Let q be j(z). Is 13 a factor of (-1*q)\/(12\/(-168))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*l + 42 = -16*l. Let b = 47 - l. Let z = -7 + 1. Sort -4, b, z in increasing order.\nAnswer: z, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31066, -3, 5 in decreasing order.\nAnswer: 5, -3, -31066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 9:19 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-58)\/(-116)*(-8)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-3)\/h**(-6\/7) assuming h is positive.\nAnswer: h**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*f + 113. Calculate the remainder when 137 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of (12\/9)\/((-4)\/(-6)) + 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 69757 and 38744274?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/((-1096942)\/(-156702) + -7). What is the greatest common factor of r and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 246.3235233 + -0.5.\nAnswer: 245.8235233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(-2 - -4 - 0). Solve -7*a**2 - 11*a**2 + 28*a - j*a**3 + 6*a**3 - 2*a**2 - 12 = 0 for a.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/3, -0.081, -2\/5?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 11:56 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 * -3995.5008\nAnswer: 279.685056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 2788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r + 9*r - 20*r + 3*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 212*o**2 - 396*o - 1. Determine r(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -54321.8963145775 minus -0.2?\nAnswer: -54321.6963145775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k + 1. Let w(o) = -o**3 - 8*o**2 - 14*o - 7. Let s(t) = -6*n(t) - w(t). Let f be s(-1). Solve 0 = 4*q - f*q + 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-7))**(-36) assuming x is positive.\nAnswer: x**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.2 + 4.8. Which is the third biggest value?  (a) 7  (b) j  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -129 - 5373?\nAnswer: -54a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -593.62 + 0.07375.\nAnswer: -593.54625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10 - -7)*1*-1. Which is the second smallest value?  (a) v  (b) -0.3  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r + 2*r = 0. What is the hundreds digit of (r + -87)\/((-7 - -12)\/(-35))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5362019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(5 + 5 + (-2*sqrt(300) + 0)*-5) + -1)**2.\nAnswer: 7600*sqrt(3) + 120361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 178543655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1100 (base 4) to base 3\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52, 59, 58, 43, 8, -53?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.2 + -2. Let x = 607\/5 - 121. Let k = -457\/812 + -1\/116. Sort w, k, x.\nAnswer: k, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 429*d**2 + 341*d**2 - 358*d**2 + 473*d**2 + 30*d**2 to h + l*d + z*d**2 and give z.\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 8*k**2 + 4*k + 3. Let d(x) = -x**3 + 8*x**2 + 5*x + 3. Let h(a) = -2*d(a) + 3*m(a). Calculate the remainder when h(8) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -177*w**3 + 26*w**3 - 317*w**3 + 50*w**3.\nAnswer: -418*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2467 + -0.09?\nAnswer: -2467.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 26196*c - 26110. Calculate o(1).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 9, -7, 2504, -1, -2 in decreasing order.\nAnswer: 2504, 9, 0, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 694334 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0184 - -1.2014. Let h = -1.13 + y. Let o = h + -1.493. Round o to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 8*k + 4. Let f be q(6). Suppose 0*m - 6 = 2*u - m, -5*m + f = 4*u. Let d be u*(-128 - 0\/2). Calculate the highest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.032, -85, 0.5, 122, 1\/3 in descending order.\nAnswer: 122, 0.5, 1\/3, -0.032, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8778 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -350*c**2 + 1 - 351*c**2 + 703*c**2 in the form q*c**2 + r*c + s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -14*w + 11*w + 9*w. Let v(l) = 14*l + 48. Let x(s) = 6*s + 20. Let t(a) = 5*v(a) - 12*x(a). Determine j(t(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.65 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30 + 35. Suppose f = q, 4*g - 2*q + 2 = 12. Solve -10 = 5*o, 0*d + 2*d = g*o + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -44 and -2.13.\nAnswer: -46.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35050040.\nAnswer: 2, 5, 109, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 431 = -3*q - 426, 0 = 7*q - 2*w - 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -108 - -107. Let j = 6 - 2. Let t be ((-6)\/4)\/(-5 - 1). What is the nearest to t in 1\/9, j, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51\/(-1105)*10\/(-3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25997 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: Let t = -9466 + 10072. What is the lowest common multiple of t and 808?\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -3*s**3 - 32*s**2 - 15*s - 269. What is b(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ea3 (base 16) in base 5?\nAnswer: 104442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 369 a factor of 451113863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9019530 + 5640530. Round b to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kaka when four letters picked without replacement from {a: 9, k: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.33 + -1.33. Which is the closest to o?  (a) -7  (b) 1\/2  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2 - 87154190*g - 1898963208639025.\nAnswer: -(g + 43577095)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5890.441 decades to centuries.\nAnswer: 589.0441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 97 - 61. Suppose 0 = 5*w + u - 511. What is the lowest common multiple of (-1)\/(5*1) - (-874)\/w and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - 7*r**2 - 5*r + 4. Let a = 15 - 21. Determine q(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2041347, 8165385, 18372115, 32661537, 51033651, 73488457, 100025955?\nAnswer: 130646145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 151.7 - 152. Which is the second biggest value?  (a) 4\/5  (b) -4  (c) u  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9232 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11695.9751 + 11715.97510002. Let q = s + -20. Round q to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z. Let g(u) be the first derivative of 0*u**3 + 5\/6*u**4 + 0*u**2 + 9*u + 3. Let t(v) be the first derivative of g(v). Give t(a(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 3*k - 2. Let r be z(-4). Find the third derivative of -3*i**6 - i**2 + 3*i**r - 5*i**2 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3211*s**3 - 3213*s**3 - 3*s - 13*s**2 + 3*s.\nAnswer: -2*s**3 - 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (178*g**3 - 625*g**3 - 2403*g**3 - 811*g**3)*(-8*g - g + 5*g).\nAnswer: 14644*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + 18*l + 17. Let t be n(-17). Let h be t + 2 + 0 + 1 + -73. Let b = h + 20. Is b greater than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.1  (b) 1\/8  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of 7*n**7\/30 + n**5\/20 + 2*n**4\/3 - 4*n**3\/3 - 57*n**2. What is the second derivative of q(p) wrt p?\nAnswer: 588*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1201 and -1200 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -17\/79  (b) -4  (c) 7  (d) -5  (e) 1\/5  (f) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -7*k + 4*k + 33, -2*z - k - 16 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18828 + 20606. Is p a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -21*b + 42. Let o be l(-11). What is the greatest common divisor of 39 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jvfvnvjv. What is prob of picking 2 v, 1 j, and 1 n?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1  (b) 0.19  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/1357650 and -1\/13377.\nAnswer: 864823050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5124, 20474, 46042, 81816, 127784, 183934?\nAnswer: 250254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-11\/3))**(-31) assuming t is positive.\nAnswer: t**(341\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 9:56 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3732417 divided by 21827.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -0.5, -224, 3583?\nAnswer: 3583","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 604 - 4274?\nAnswer: -3670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -3. Suppose -5*z + 1 = r, 2 = 2*z - 3*r + 5. Put 3, l, z in descending order.\nAnswer: 3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 351*s + 104. Let z(l) = 10*l + 3. Let t(v) = 3*n(v) - 104*z(v). Let c(q) be the second derivative of 0*q**2 + 1\/6*q**3 + 0 - q. Give c(t(x)).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) + sqrt(88)*2*-2)\/(sqrt(8) + (sqrt(64)*3 - sqrt(64))\/sqrt(8)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20372020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/((-6)\/((-60)\/5)). Suppose -3*q = -q + u - 543, 2*q + s*u - 548 = 0. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (14*k + 1 + 30359*k**2 + 1 - 30378*k**2)*(-6*k + k + 0*k) as d*k**2 + b + z*k + o*k**3 and give d.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 145627687 or 145627688?\nAnswer: 145627688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 9*u + u**2 - 33*u - 11 + 16*u. Is n(12) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 9*p**2 + 9*p + 13. Let r be q(10). Suppose -r*v = -4*v + 18. Suppose 19*d - v*d - 10 = 0. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 15 - ((50 - 18) + -18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, i: 1, g: 2}. What is prob of sequence gi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6540883 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1048 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, -0.057, 0.17?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 28.216 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2904 divided by 726.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*y - 2119*w + 2124*w + 118 + 49, 31 = y - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 30*n - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*88\/(-2112)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1701 and -4.\nAnswer: 6804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 454634 (base 7) in base 13?\nAnswer: 2aaac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 2 + 2)*(14*n**2 + 106*n**2 - 8*n**2) + (-3*n - n + 3*n)*(-4 + n + 4) - 2*n**2 + 0*n**2 + n**2 to the form f*n**2 + y + i*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-20)*-1)\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1220154 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*t = -2*u - 29*t + 1068, 2*u + 2*t - 1062 = 0. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 2*d - d = 15, 2*n + 3*d - 10 = 0. Suppose n*t + 65 = -0*t. Let h(l) = l + 35. Let c be h(t). What is the highest common divisor of c and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*l**3 + 20*l**2 - 20*l**2.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 2*f**2 + 45*f - 127. Determine s(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i**2 + 3*i + 3. Let y(w) = -2*w - 7. Let n be y(-5). Suppose -v - 21*v + 352 = 0. Let d(j) = 2 + j + 15 - j**2 - v. What is n*d(k) - x(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -451187663 minus 0.1?\nAnswer: -451187663.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 134 (base 15) to base 2.\nAnswer: 100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.059 + 4427526727184.\nAnswer: 4427526727184.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of -4*x**5\/5 + x**4 + 40*x**3\/3 + 16*x**2 + 172. Determine s, given that n(s) = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + -2 + (sqrt(363) - (0 + sqrt(363)))*1)**2 - ((sqrt(363) - (sqrt(363)*-2)**2)*4 + ((sqrt(363)*-1 + sqrt(363))*3)**2))*-6.\nAnswer: -34902 + 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**3\/5 + 108*g**2\/5 - 24*g - 224\/5.\nAnswer: 4*(g - 2)*(g + 1)*(g + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 8*q - 9*q - d, 470*q - 5*d = 472*q - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -132, -559, -1340, -2535, -4204, -6407, -9204?\nAnswer: -12655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 29  (b) 0.201  (c) -4  (d) 0  (e) 1\/9  (f) -2  (g) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -2*k + 8, -2*v - 2*k = 32. Let q = 22 + v. Suppose -5*u + 3*g - q*g = -22, -2*u - 4*g = 0. Solve -h + j + 9 = 0, 0*h + 12 = u*h + 2*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3601873 is divided by 3601686?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-6)\/24*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 800 - 9653\/12. Calculate the common denominator of ((-52)\/(-10))\/(12\/(-35)) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32*(-156)\/((-6396)\/82)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*z**3 - 46*z**3 - 54*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3807, -4, 3, 12, 1.\nAnswer: -4, 1, 3, 12, 3807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j and 1 w when four letters picked without replacement from {r: 4, t: 1, j: 4, w: 3, e: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {x: 6, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14854\/39 + 415817\/312. Let p = 963 - x. What is the common denominator of 1\/24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from tttttvvv.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*v - 38 + 281. What is the remainder when (-5)\/(-1 - (-9)\/10) is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2267*k - 1276 = -2323*k + 1076 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/2)\/((-2)\/40). Let u = -1407 + 1409. Solve -u*h = -0*h - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2819 by 3.\nAnswer: -2819\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in -0.02, -5, 0.01, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 9343.\nAnswer: -2\/9343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, u: 3, f: 7, o: 2, x: 4}. What is prob of sequence wo?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 286923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 5*h + 5*v + 12, 0 = 5*v + 10. Suppose 0 = -h*a - s + 203, 12*a - 15*a - 2*s = -306. Calculate the remainder when a is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -896 and -12277160888?\nAnswer: 12277159992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*a + 6*a - 4*a + (-2 - 2 + 0)*(a - 2 + 2) - 56 + 56 - 2*a + (4*a + 0*a - 6*a)*(-3 + 0 + 1))*(-a + 2*a + 2*a) as n*a**2 + g*a + x and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2655 (base 9) to base 15\nAnswer: -8ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*o + 9*o - 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2332*a**2 + 499*a + 2. Let m(o) = -2336*o**2 - 500*o - 7. Let c(n) = -5*m(n) - 4*s(n). Factor c(y).\nAnswer: 3*(28*y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/p**(-2\/7)*p*p*p\/p**5)**(1\/56) assuming p is positive.\nAnswer: p**(1\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 530429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7893125 divided by 9125.\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 + 44*b**2 + 78*b - 249. What is k(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**2 - 20*m + 11. Let l be p(-7). What is the second smallest value in l, 0.1, -0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t**4 + 6*t**3 - 6*t - 13. Let h(p) = -3*p**4 - 7*p**3 + 7*p + 12. Let k(b) = -7*c(b) - 6*h(b). Find the first derivative of k(a) wrt a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, s: 5, c: 3}. Give prob of picking 2 s and 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 3*w + 21, 0 = -3*w + 5*x - x. Let f be -4 + 5 - w\/(-8). Suppose t**3 - f*t**4 + 0*t + 0 - 1\/2*t**2 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (-8 - -22 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90, -89, -88?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 234110, 234354, 234610, 234884, 235182?\nAnswer: 235510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 69936298 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/2819762 and 49\/9740996.\nAnswer: 107150956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-2*(sqrt(17)*-2 + sqrt(17))**2 + (3*(sqrt(17) - sqrt(153)) - (sqrt(153)*2 + sqrt(17))).\nAnswer: -13*sqrt(17) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 12 = v - 2*v + 9, -203*f + 2406 = 14*v + 17*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppddwwpdddp. What is prob of picking 1 p, 1 d, and 1 w?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccao when four letters picked without replacement from ojccfzjcocaf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -34*u - 12. Let x be i(-2). Let n = -45 + x. What is the remainder when 31 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 128 and 22.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -494.080053 rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 717*w**3 + w**2 - w**2 + 0*w**2 - 729*w**3 + 1.\nAnswer: -12*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1309223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/10)\/(-4 + (-15)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 52\/(-13)*(-1 - 2\/8). Suppose -28 = -4*h + y*s, -s = -8*h + 4*h + 28. What is the remainder when (1\/(-2))\/((-2)\/52) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 173?\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2122973 is divided by 3867.\nAnswer: 3857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 11:29 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 354 + -263. Let j be 1\/2 + (-9)\/(-2). Suppose j = 5*r, 4*r + m = 5*g - 0*r. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21836\/2379 not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 506042 and 8414?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 443130497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33968317.\nAnswer: 71, 478427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m - 24*m - 14*m - 3*m - 27. What is the units digit of l(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, v: 2, a: 4, q: 2}. What is prob of sequence va?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000074042 rounded to six dps?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 692277, 1384627, 2076977?\nAnswer: 2769327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 4:51 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 123, 509, -4, 1 in descending order.\nAnswer: 509, 123, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-0.629062.\nAnswer: -0.629062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 8:05 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 1 - 64 = 0. Let p = -497 - -500. Suppose -4*o + 3 = -p*o - 3*u, o = -4*u + 17. Calculate the greatest common divisor of l and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -346, -694, -1044, -1396?\n\"Answer: -b**2 - 345*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - 39. Let u be (8 + k)*1\/(-4). Suppose -2*h + 10 = 2*l, 5*h = -u*l + l - 5. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7\/6  (b) 4\/3  (c) 70  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -1\/5, 2, -0.1, 1\/7, -1614 in decreasing order.\nAnswer: 2, 0.2, 1\/7, -0.1, -1\/5, -1614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, p: 1, b: 1, o: 1, j: 2, n: 1}. Give prob of sequence jdb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 23*z**2 - 45*z - 908. Calculate g(-22).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 4 = 3*j. Let p(b) = -b**3 + 5*b**2 - 6*b + 13. Let x be p(4). Solve -2*z - x = a, -a - 10 = j*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 726698 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -161 (base 12) to base 2\nAnswer: -11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(85)\/(sqrt(30)\/sqrt(6)) + (1*sqrt(425))**2 + (-1 + sqrt(272) - sqrt(153)\/(sqrt(63)\/sqrt(7))).\nAnswer: 4*sqrt(17) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j + 2*j**3 + 6*j + 4*j**2 - j. Let p(t) be the third derivative of t**6\/20 + 11*t**5\/60 + 11*t**4\/24 - 2*t**2. Determine 11*n(x) - 4*p(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 223 divide 357542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36215 - -2321?\nAnswer: 41536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7\/60 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2970485 divided by -594097\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 760906865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 450.1122 litres in millilitres?\nAnswer: 450112.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 i, and 2 v when four letters picked without replacement from {s: 9, v: 2, i: 2, a: 1}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(6*((sqrt(1216) - 3*sqrt(1216))*1 - sqrt(1216))**2 - (3 + sqrt(1216)*-4)*3).\nAnswer: -65655 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9149.753 years?\nAnswer: 914.9753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 11) + 1827\/145\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 4*i = -14. Let z = i - -3. Let j = 24 + -34. Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v**3 - 3*v**2 - 3*v. Let i(q) = -6*q**3 + 7*q**2 + 7*q. Calculate -7*b(c) - 3*i(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3 + 25622*w**2 - 35863*w + 10246.\nAnswer: -(w - 5123)*(w - 1)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 divided by 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -23*b - 12 - 6*b - 5*b. What is the units digit of t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 8 = 3*d. Let c be (-885)\/(-9) + d\/9. Suppose 49 = f - h, -2*f - h - 4*h = -c. What is f rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9092.\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2115402 (base 7) to base 16\nAnswer: 3e9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 88\/(-20)*(-3)\/((-81)\/135).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -43, -89, -151?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*((-10 - -13) + (-28)\/10). Sort -0.4, -2\/33, i, -0.2 in decreasing order.\nAnswer: i, -2\/33, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - (0\/2 + 2). Let g be (-2)\/j - (7 + -9). Suppose g = -2*q - 2*q. Let u(z) = z**2 + 3. Calculate u(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/(-1584)*((-396)\/(-6))\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 10. Let m = 4.979 - 0.079. Let y = 0.1 + m. Sort 0.02, u, y in ascending order.\nAnswer: u, 0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 2)*(1 - 1 + 3*j)*(6*j**2 + 0*j**2 - 5*j**2).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8241701.411+3\nAnswer: -8241698.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 0.83  (b) -0.06  (c) 1\/4  (d) 0.1  (e) -0.14  (f) 17  (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -121243?\nAnswer: 121301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - -235090.\nAnswer: 235090.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 + 28. Let w be (0 - 2) + (5 - t). Solve -3*z + 3 = -w*l, 5 = 3*z + l + 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 6, 4, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 26 = 2*x, -3*m + 3*x + 4 = -17. Let l be -2 + (-9)\/3 + 8. Solve m = -l*i - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/791210 and 111\/75650?\nAnswer: 67252850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*g = -15*g - 108348. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g + 1. Let u(j) = 10*j + 72. Let s(r) = 6*i(r) + u(r). Suppose 0 = d + d - 54. Calculate the remainder when s(0) is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**7*v*v**7*((v**(-2)\/v)\/v)\/v**(1\/14) assuming v is positive.\nAnswer: v**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 4:49 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 - 2. Let h be r(0). Let p be 2\/h*-26*(-7)\/(-14). Solve 2 + p = -a + 3*c, -c = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 918 divide 32174064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 8*g - 702 + 756 = 0, 7*n + 258 = -4*g for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 4*n - 36. Let x = 24 - n. What is the greatest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110001101 + -1?\nAnswer: 110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 62*j**2 - 20*j - 16. Let g be f(-1). Solve -g*c + 12 = -70*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1484260086 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.26, 1\/2, -3, 3, 141?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16 + 3 + (-18)\/6. Find the first derivative of 31*z**2 + q + 6 - 6*z**2 wrt z.\nAnswer: 50*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/(1\/8*14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35 - 10. What is the highest common factor of 10 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -38689 in ascending order.\nAnswer: -38689, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ucc when three letters picked without replacement from ruuxcxcxeuxcxc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*t**2 - 3*t**2 + t**2 + (3*t + 2*t - 7*t)*(6 + 3*t - 6) + 0*t**2 + 5*t**2 - 3*t**2 - 2*t + 2*t - 3*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 10395005671 + -5\nAnswer: 10395005666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1665619 - 0?\nAnswer: 1665619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, i: 4, v: 10, f: 1, o: 3}. Give prob of picking 1 v and 2 i.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 7. Let s be (12\/(-8))\/(y\/(-16)). Find the second derivative of -103*u + 100*u + 7*u**s - 3*u**4 wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38445690 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of 16*o**5\/5 - 92*o**4\/3 + 529*o**3\/6 + 371*o. Let l(q) = 0. Calculate q.\nAnswer: 0, 23\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362174 is divided by 30178.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5314431 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 673948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14231324 - 14230707.9379. Let d = 1385.2 - 769.2. Let r = d - z. What is r rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**14*h*h)\/(h*h**(-2\/3)*h)*(h**(-2)\/h)**15 assuming h is positive.\nAnswer: h**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*p + 104 + 526. Suppose -8*m = -p - 135. Is m >= 152\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -3*q + 4. Let i(x) be the second derivative of -x**3\/6 + x**2\/2 - 40*x. What is -4*i(g) + z(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/2)\/(2\/(-8)). Suppose v*a - 4*j - 18 = -a, 0 = -5*a + 5*j + 25. Solve a*d - 7*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2583 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -79*b + 78*b + 6*b**2 - b**3 - 3*b**2 + 1. Let h be d(2). Solve 4*r = h*p - 1, 0*p - r + 11 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7020430.97 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21344 and 430476?\nAnswer: 79207584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 2:11 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f + 1. Let k = -2 - -6. What is the remainder when b(3) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of -5*g**7\/42 + g**6\/6 + 3*g**5\/4 - 5*g**4\/12 - 5*g**3\/3 - 26*g. Solve q(f) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*y**2 - 17*y**2 - 2*y + 2*y + 0*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 + -3379029.64\nAnswer: -3379030.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 54705 and 54696 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o**2 + 1. Let n be k(-1). Let m be (0 - (-1 + 2)) + 1. Solve z - 4*g + 9 = m, -3*g - 22 = -z + n*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*x + 2*i, 0*i + 14 = 3*x - 2*i. Let m(g) = 2*g**x + 2*g + 4 - 1 + 2. Is m(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4*r = 2*s + 3, 0 = s + 2*r - 6. Suppose 3*c = -2*u - 2*u + 55, -2*u + c + 35 = s. Let a = -15 + u. Solve i - 2*i = a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 252 and 3483?\nAnswer: 97524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/9)*v**(-2\/17))\/(v*v*v\/((v\/((v*v**(1\/4))\/v))\/v)*v*v**6\/v*v)*((v*v*(v*v**(-3\/7)*v)\/v)\/(v*(v**(-5)*v)\/v))**13 assuming v is positive.\nAnswer: v**(320609\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (51\/7 - -2) + -9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyuyyu. Give prob of sequence yyuu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4070 is divided by 395.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - (-12)\/30*5. Let q = 0.0767 - -1.7233. Sort 2, b, 0.5, q in descending order.\nAnswer: b, 2, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -4*m + 35. Let p = m - 6. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + -7 - (-8 - -15)) + 13 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5576, 11153, 16730?\nAnswer: 22307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 28, 71, 114?\n\"Answer: 43*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*f - 8 = 0, 0*x - f - 2 = 2*x. Suppose x = 4*c + g + 3*g + 12, 5*c = -2*g - 3. Suppose -c = 2*y - y. Sort y, -3, -4 in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97681 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -7. Let x(k) = -11*k + 5. Let q(l) = 10*l + 1. Let s(p) = -q(p) - x(p). Give -4*o(u) + 5*s(u).\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 3) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 8, 39, -0.02, -0.01?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 5*x**2 + 5. Let k(h) = -h**2 - h + 2. Let r(d) = -2*d**2 - d + 1. Let l(v) = 2*k(v) - 2*r(v). Give 2*f(w) - 5*l(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/26 or 2535?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8628*c - 4*c**3 + 5*c**3 + 754*c**2 - 566*c**2 + 208*c.\nAnswer: c*(c + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 + 92 = -3*w. Let o be w + 9 - 2\/(1*-2). Solve 2*l + a - 11 = 0, -2*a + 0*a = -o*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*k - 197*k - 2004 = 199*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5092475\/(-906))\/355)\/((40\/36)\/1).\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/28)\/(116\/145 - 27\/15).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70927687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - z = -2*z - 7, 2*w - 5*z = -5. What is the second derivative of 5*t - 86*t**w - 2 + 68*t**5 - 3 wrt t?\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 338050\/221 or 1530?\nAnswer: 338050\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 5*a - 118. Let i be ((-25)\/3 - -2)*3. Let g = a + i. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112 + 291 - 92754*p - 111 - 95 + 92751*p.\nAnswer: -3*p - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*(y**(2\/13)\/y)\/y*y**0*y)\/((y*y**10\/y*y)\/(y\/y**(-17))))**(-4\/5) assuming y is positive.\nAnswer: y**(-372\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + (69\/18*-1)\/1. Sort -2, 0.2, z in descending order.\nAnswer: 0.2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1125 (base 10) to base 13\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4056236 != 4056225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 9:52 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -19, -1, -3, -4.\nAnswer: -19, -4, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.419 or 1?\nAnswer: 0.419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002586152518 rounded to seven decimal places?\nAnswer: -0.0002586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 21094 divided by -28\nAnswer: -10547\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, 2\/7, -2\/2295, 0.1 in increasing order.\nAnswer: -2\/2295, 0.1, 2\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 311 is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3111 = -6*p - 139, 4*d = 2*p - 956. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -6883, 5, 0, 0.4, 4\/3 in ascending order.\nAnswer: -6883, -0.5, 0, 0.4, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*y = 19*y + 15. Solve -4*k + y*m + 0 + 19 = 0, -k + 3*m + 7 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, d: 2, s: 1, q: 2, p: 1, t: 5}. Give prob of picking 2 d, 1 q, and 1 t.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1278.7 - 1278.717. Sort 1, -3\/4, f, 2 in decreasing order.\nAnswer: 2, 1, f, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3151724 (base 9) to base 7\nAnswer: 20225545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 plus 388030.8?\nAnswer: 388030.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*p**2 + 16*p**2 - p**2 - 37*p**3 + 90*p**3 + 222*p**3.\nAnswer: 275*p**3 + 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30869*k + 1273 = -30802*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -2. Let u(q) = q**2 + 5*q + 4. Let j be u(r). Let s = -1\/19 - -23\/76. Which is the nearest to -0.2?  (a) s  (b) j  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -2*k + 4 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1031 + -1004322?\nAnswer: -1003251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of -s**4\/12 - s**3\/6 - s**2\/2 - 443*s. Let r(n) = -5*n**2 - 5*n - 3. What is -r(k) + 3*u(k)?\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -29*q**3 - 4*q**2 + 4*q - 9. Let r(g) = -86*g**3 - 11*g**2 + 11*g - 28. Let m(l) = 11*i(l) - 4*r(l). Differentiate m(x) wrt x.\nAnswer: 75*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 4*l - 38 = 0, 0*x = -2*x - 2*l + 22. Let c be (x\/7)\/(2 + -1). Determine h, given that -4\/7 + c*h - 2\/7*h**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 + 7*m - 8 + 0*m**2 - 14*m. Determine j(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - q**2 + 5*q + 2. Let s be a(-3). Solve -2 + s = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3407 - 3326. Calculate the highest common factor of 4887 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 2*y**3\/9 - 802*y**2\/3 - 3691. Suppose n(v) = 0. Calculate v.\nAnswer: 0, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 5\/38217 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -0.233?\nAnswer: -0.233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107412122.\nAnswer: 2, 67, 257, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -31*h**3 - 5*h**2 - 5*h + 5. Suppose 0 = -58*k + 41*k + 51. Let u(z) = -16*z**3 - 3*z**2 - 3*z + 3. What is k*f(d) - 5*u(d)?\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-3 + 2 - (-8 - -3)) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 71, 64, 55, 44?\n\"Answer: -r**2 - 4*r + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 128464661 a multiple of 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 8452.006 milligrams?\nAnswer: 0.008452006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 3584873.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of 7 + 0*w + 2\/3*w**3 + 11\/4*w**4 - 1\/2*w**2. Let l be u(1). Solve -s - 2*s = -l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 4*s - 3. Let x(q) = 2*q**3 - q**2 + 34*q - 76. Let b be x(2). Determine p(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 525*u + 442 = -4808 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7\/212 + -6875\/2756. What is the common denominator of s and 64\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3454279 - -1744410208\/505. Let o = g + -4\/101. What is the common denominator of o and (-70)\/2*1\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0. Suppose 0 = -4*x + 16, 0*z - 2*z = -3*x + 18. Which is the closest to j?  (a) z  (b) -0.2  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/667 - 16683\/2668. Is b equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 22\/93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 82528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -15 + 5 + (7 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 3*m - 3. Let i be l(2). Is (37\/i)\/(2\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3*m - 20. Let l(q) = -q**3 + 5*q**2 + 100*q - 21. Let i be l(-8). Give x(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 21, -91, -327, -687, -1171, -1779, -2511?\n\"Answer: -62*o**2 + 74*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -23. Let y = -32 + -2. Let k = y - -59. Calculate the remainder when k is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21851 - 25295. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -8*d**3 + d**2 - 3*d - 5. Let l be i(-2). What is the highest common factor of 115 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -11429*l**2 - 4*l + 1 + 3*l + 4*l - 459*l**2. Let w be k(-3). What is w rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/13?  (a) 5464  (b) 0.3  (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-198)\/(-4))\/((-4982)\/17108). Let x = s + 2276681\/13356. Calculate the common denominator of -67\/12 and x.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (((-8)\/22)\/(78\/(-715)*5))\/((-18)\/621)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-228114)\/(-115) - (3 - 1) - (-6)\/15 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 4*u - 32*u**2 - 3 - 3*u**3 + 23*u**2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.3, 0.19, 1\/12, -95, -21, 116?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20679655\/156 + -132562. What is the common denominator of 384\/(-90) - 1*-1 and d?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/(4290\/(-65)))\/(2\/8*6\/15).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 236061616609 + 0.\nAnswer: 236061616609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 517949 is divided by 1612?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -12*w - 7. Let i be p(-5). Suppose -3*h - 11 = -i. Let q = 25 - h. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34 - 56*d - 47*d - 52*d + 154*d to q*d + k and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -37 + 38. Is -28 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2981795 and 2981794 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6014985 is divided by 4272.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -253073 (base 8) to base 6.\nAnswer: -1513335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 + 1 = 5*z. Solve 4*k + k - 4*q - 25 = 0, 0 = k + z*q + 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -147*b**3\/4 + 9765*b**2 + 11169*b\/4 + 399\/2 = 0?\nAnswer: -1\/7, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 4*v - 5*g + 8, v = -g. Let i = 15 + -15. Which is the closest to 0.2?  (a) i  (b) -1\/5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 72, 86, 106, 126, 140?\n\"Answer: -v**3 + 9*v**2 - 6*v + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 + (-36)\/(-6) - (-114)\/(-15))\/(-1). Which is the nearest to -2?  (a) -50  (b) s  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2936 + 3061. Calculate the greatest common factor of f and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -90*y + 1451. What is k(20)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 1 - 2)*(-3*i + 3*i - 2*i) + (8 - 4 + 1)*(-3*i + 2*i + 3*i) - 2*i - 3*i + 3*i + 1 - 1 - 23*i to o + r*i and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 555628543.\nAnswer: 953, 583031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 608*d**2. Let w(u) = 662*u**2 + 2*u + 1. Give w(t(g)).\nAnswer: 244717568*g**4 + 1216*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 484 + 4. Suppose b = -5*d + 9*d. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22603329 is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1846700 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2845593 and -10?\nAnswer: 28455930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-24)*2\/(-4)*1 - (-1620)\/10080.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 8 + 5*y**3 + y - y**3 + 11*y**2 + y**3 - 4*y**3. Determine m(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j. Let z(k) be the first derivative of k + 917. Calculate 3*u(p) + z(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*u = -r - 393, -1334*r - 4*u - 25 = -1333*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -953 - -1897. Let m = w + -943.9. Which is the biggest value?  (a) 16  (b) 5  (c) m  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -204*o + 199*o. Suppose m = -2*t + 5, -o*m = -11*m + 5*t + 4. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q**2 + 43*q + 429. Determine n(0).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2861\/5 greater than 573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 4\/9  (b) 0  (c) 24  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1722.1?  (a) 0  (b) 2\/3  (c) -2  (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.1  (b) 1  (c) 23\/7  (d) 1\/12  (e) -3.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + m**3 + 0 + (m**2 + 3*m - 3*m)*(-5*m + 3*m + 3*m) - 4*m**3 + 0*m**3 + 6*m**3 + 112*m**2 - 265*m**3 + 121*m**2 - 233*m**2.\nAnswer: -261*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -5 - (5 - 11 - (6 + -4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4 - (1 - (-813)\/90) and -39\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -192a5 (base 15) to base 6.\nAnswer: -1425445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003188 to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*sqrt(1053))**2*-1 + -4 + (sqrt(1872)*-2 + sqrt(13))**2 + sqrt(208)*-2.\nAnswer: -144759 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 2 = -4*q, 2*i + 256*q = 258*q - 8 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n + 6 + 9 - 4. Let d be ((-48)\/(-9))\/((-6)\/(-9)). List the prime factors of t(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + -2*sqrt(128)*2)) + 5*sqrt(128)*1)\/((sqrt(20)\/sqrt(20) - sqrt(4))*-5).\nAnswer: 72*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*1*(4*(sqrt(684) - (3 + sqrt(684) + sqrt(684) + sqrt(684)*1))*-3)**2*-2 + 1.\nAnswer: -2371679 - 62208*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1663 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -4*n - 33. What is the highest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - ((-1 - -3) + 3) - 7 - 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -13729, -27603, -41479, -55357, -69237, -83119, -97003?\n\"Answer: -p**2 - 13871*p + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 254 = 634. What are the prime factors of ((-28)\/7)\/(-8)*1*p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6570)\/360 + 18 - ((-43)\/(-36) + -1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3 = -j + 2, 4*j = -12. Let r = 5 + z. Factor 1\/2 - 11\/4*c**2 + 9\/4*c**r + 7\/4*c**3 - 7\/4*c.\nAnswer: (c - 1)*(c + 1)**2*(9*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, q: 6, m: 3, w: 3, i: 1, g: 3}. Give prob of sequence iqgw.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25 and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 14 = -2*y, -4*y + 7*y = -4*t + 21. Let c be (y\/(-2))\/(2\/(-4)). Find the third derivative of 6*w**2 - w**3 + 4*w**2 - c*w**2 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216492671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -6.39  (b) 54  (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -5*g - 37, 5 = p - g + 4. Suppose 5*s - 15 = 14*q - 9*q, q = -2*s. Put s, 2, p in increasing order.\nAnswer: p, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -179, -1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 3*v + 15 = 3*s, -2*v = -4*s + 20. Let a = -16 - -33\/2. Let p = 0.03 - -0.17. What is the nearest to a in v, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of -f**3 + 0*f - 13*f**2 + 0 + 17\/60*f**5 - 1\/4*f**4. Is d(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z. Let c(x) = -78 + 738*x - 458*x - 433*x - 92. Let w(d) = -14*d - 15. Let t(i) = -3*c(i) + 34*w(i). Give p(t(h)).\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 26\/10 - 1 - 1. Let y = -38564 - -38568. Which is the nearest to -0.2?  (a) 5  (b) k  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1210\/(-55))\/((-10)\/(-8)))\/((-4)\/20*-2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -6*p - 403 + 381, -2*v + 36 = 2*v + 2*p for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from vvhvsvshshev?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12799701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -169094, -676398, -1521900, -2705600?\n\"Answer: -169099*y**2 - 7*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*f + 6 - 67*f - 162*f - 6 - 349*f.\nAnswer: -539*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2517600 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 12:58 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*b**3*c**2 + 2*b**3*c + 71*b**3 + 4*b**2*c - 400*b*c**2 - c**2 + 14*c wrt c?\nAnswer: 12*b**3 - 800*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 0*q = -4, 808*o - 7*q + 3*q + 12 = 801*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 AM and 11:58 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {w: 1, t: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1333 - 1335. What is the third smallest value in -0.077, -8, a?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mvq when three letters picked without replacement from {m: 1, q: 7, i: 3, p: 2, v: 1}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 - 8*y + 7. Let f = 185 - 104. Let l be (-666)\/f + (2\/9 - 0). Determine k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-13104)\/(-238) - 6) + (-2)\/34. Calculate the highest common factor of v and 3283.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*h - 13. Let v be h\/15 - 571\/3. Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 8:26 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 5*k + 27 = 2*r, 0 = 2*r + 2*k - 22. Let q(d) = d**3 - 7*d**2 + d - 4. Let i be q(r). Solve s = i + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 60cb - 5?\nAnswer: 60c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 - 2. Let u(i) = -10*i**2 - 3*i - 20. Let m(l) = 18*g(l) - 2*u(l). Determine b so that m(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -973440, -1946868, -2920296, -3893724, -4867152?\nAnswer: -5840580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1223045014 (base 6) in base 8?\nAnswer: 65747102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3 + ((2*(sqrt(1539)*2 + -3))**2*-2 - (-1 + sqrt(1539)*2 - (sqrt(1539) - (2 + sqrt(1539)))*-2))).\nAnswer: -846*sqrt(19) + 49312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 25*i**3 - 725*i - i**4 - 4*i**2 + 725*i in the form k + m*i + v*i**3 + z*i**4 + h*i**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1006)\/(-48)*(-140)\/8. Let z = -1087\/3 - u. What is the common denominator of z and -5\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c**4 - c**4 - c**4 - 2*c**4 - 4*c**4 - 4*c**4 + (3*c - 2*c + c)*(-2*c**3 + 2*c**3 + c**3) in the form p + a*c + b*c**2 + t*c**3 + f*c**4 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(72\/4))\/((-3)\/(-3))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 0.8. Let o = g - -2.1. Let r = 0.1 + o. What is the nearest to -0.1 in -1, r, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 227.68 - 51.6. Let q = -176 + j. Let g = 3 + -3.1. Is q > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 108 and 23076.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0709426 years to decades.\nAnswer: 0.00709426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1833 and 64014?\nAnswer: 832182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-10\/9)\/w**(3\/14) assuming w is positive.\nAnswer: w**(-167\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12\/336*0 - -60239.\nAnswer: 59, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*t = -55*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 265 divide 46771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1594 and 10?\nAnswer: 7970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25062 is divided by 1643.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 35652.99 millilitres in litres?\nAnswer: 35.65299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6.708 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -1\/24, -2\/53, 5, -29?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 54465881779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.16 - -0.2. Let s = o - 0.03991. Round s to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 136474 (base 10) to base 11\nAnswer: 93598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6252 is divided by 1501?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 129\/208010 and -119\/198.\nAnswer: 1872090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -642*i + 12*i**2 - 140*i - 2*i**2.\nAnswer: 10*i**2 - 782*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*g**2 - 2*g + 5 - 6 + 0*g + (2*g - 2*g + g)*(-3*g + 2*g + 2*g).\nAnswer: 12*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8174 + -1929. List the prime factors of b.\nAnswer: 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 330751203 and 10?\nAnswer: 3307512030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -1\/4, 0.4, -0.3, -10875, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xnnnnnnnnnnnnnnnnxnn. Give prob of picking 2 n.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h = 12*h - 44. Suppose 2*x + h = 6*x + n, 3*x + 2*n = 19. Solve -x*v + 2*v + s = 12, 4*s - 15 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24752 is divided by 6032?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-860)\/129)\/(((-23)\/(-138))\/(3\/4)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 19, -183\/35, -1\/5, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 6. Let v = 38 - 20. Suppose 4*o + q = 22, -2*o = -6*o + q + v. Solve -5*t = -0*t + 2*d + 2, -s*t - o*d = 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 249, 364, 479, 594, 709?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + -7. Let y = i + 4. Which is the nearest to y?  (a) -2  (b) 1\/5  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3855 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -34474 divided by -2?\nAnswer: 17237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) -15  (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 76*l - 132. Let m(a) = 2*a - 19. Give -6*m(p) + r(p).\nAnswer: 64*p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b - 5*b - 3. Suppose 2*v - 5*a - 181 = 0, -b*a - 67 - 26 = -v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l**2 - 64*l - 236. What is the least common multiple of 3 and i(-11)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -9  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 115070514313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -128668*g + 64333*g + 64333*g - 17. What is l(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 0*x + 2*q = 11, -2*x = 4*q + 14. Let g = 0 + x. Let n be (4 + 8)*(-1)\/g. Solve 25 = -n*k + 9*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-26718)\/(-8979) + -4 + 1\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.1, -3, -5, 3, 0, 0.045 in decreasing order.\nAnswer: 4, 3, 0.045, 0, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 567425, 2269683, 5106787, 9078743, 14185557, 20427235, 27803783, 36315207?\n\"Answer: b**3 + 567417*b**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8671 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j + 10. Let u be m(7). Suppose -4*q + 9 = -u. Suppose 3*a - 37 = -4*b - 5, 0 = 5*b - 10. Calculate the smallest common multiple of q and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1875477\/2 or -937740?\nAnswer: -937740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -4*x + 28, 1867*x = 2*z + 1862*x + 29 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 + -3)*(2 - 0). Let t be 13\/(-1*(r + 3)). Let f = t + -6. Calculate the smallest common multiple of 6 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2108918 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -1458*m - 16047. Give d(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - l = 3. Let s be (l*13)\/(5\/(-101245)). Let u = 113237 - s. What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16544 + 16553. Put -1\/8, g, -10, 1\/4, 3 in increasing order.\nAnswer: -10, -1\/8, 1\/4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173071175 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 - -36676.1301703\nAnswer: 36675.2301703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 AM and 11:38 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.074 - -18.074. Let j = h - 9. Let c = j + -23. What is the nearest to 1\/4 in c, 1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -185\/6  (b) -4  (c) 2  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 310\/9 + -1231\/36. What is the second biggest value in b, 1, -10, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2572*o - 344 = 2588*o - 1016 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7831195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*o**5 + 355*o**4 - 2650*o**3 - 5480*o**2 - 1690*o + 805 = 0. Calculate o.\nAnswer: -23, -1, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -50158, -50262, -50376, -50500, -50634?\n\"Answer: -5*b**2 - 89*b - 50064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00025373348 to 6 dps.\nAnswer: -0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/647 and -27\/10?\nAnswer: 6470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 409783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -3*k + 13, -2*k - 5*w - 434 + 165 = 2*k - 146 - 166 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5151 and 2769420?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 12:51 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 2*w**3 + 9 + 2*w**2 - 19 - 2*w to the form g*w**3 + k*w + y + v*w**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - t + 1)*(-2 + 3 - 31) to a*t + o and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {m: 12, p: 3}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-10)\/4)\/(4\/(-8)). Suppose 22 = -r*i - b, 0*i - i - 17 = -4*b. Let l be i + 1 - (-2 + 3). Which is bigger: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 4*h - 15. Let g be p(6). Solve 0 = 3*b + 3 - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 minus 1784384?\nAnswer: -1784391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/45 - ((-1064)\/(-105) - 10). What is the nearest to -1\/14 in z, 3\/4, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 5690.\nAnswer: 62590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + l + 6652 = -108, 2*m + 4*l = -2704. What is the remainder when m\/(-32) - (-6)\/8 is divided by ((-22)\/11)\/(4\/(-22))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*c**2*l*s**2*u**2 + 4*c**2*l*s*u - 165*c**2*s**2 - c**2*s*u - c**2*s + c*l*s + 2*c*s*u**2 wrt s.\nAnswer: -10*c**2*l*u**2 - 330*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12621 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -16  (b) -7459\/5  (c) 0.3  (d) -1  (e) -0.33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 10, -20 in increasing order.\nAnswer: -20, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63126, 63124, 63122, 63120, 63118?\nAnswer: 63116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g + 4*g - 4*g + (g + g + 0*g)*(-3 + 5 + 2) - 3*g - 2*g + 4*g + (g - 9*g + 2*g)*(0 + 0 - 1) - g - g + 20*g.\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 plus 215780.4734?\nAnswer: 215780.3834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3559259\/832 - -4278. Find the common denominator of -37\/256 and n.\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(1\/3)\/f))**(-6\/19)*(f**(-2\/9)\/f)\/(f\/f**(-6)) assuming f is positive.\nAnswer: f**(-1496\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.01 + 4.99. What is the second biggest value in 3, -4\/5, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*v = 174 + 2 + 180 + 4 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 5*f - 822, 73*n + 4*f = 77*n - 804. What is the remainder when 14817 is divided by n?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/300 and -5\/168?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*m - 64*m + 10 = 0. Suppose 3*h = m*h. Solve h = -5*z - t + 10, -z - 4*t = 4*z - 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12016 + 12013. Let c = -0.01 - -0.04. Sort -0.2, -5, l, c in descending order.\nAnswer: c, -0.2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -17. Is -4 + (-7)\/(i\/(-40)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16388761?\nAnswer: 727, 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 1\/3  (b) 2\/27  (c) 20  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h - 1. Let l be m(1). Let g(f) = 18*f - 1. Let j(t) = -16*t. Let s(o) = 5*g(o) + 6*j(o). Is s(l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4436631 rounded to the nearest one thousand?\nAnswer: -4437000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2296047436 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 105 - 110. Let v(i) = 2*i**3 + 9*i**2 - 4*i + 15. Let n be v(p). Solve 0 = 7*g - 5*g + n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate k*m*o**3 + 36*k*m*o + k*o + 2*m**4*o**3 - 65*o**3 with respect to m.\nAnswer: k*o**3 + 36*k*o + 8*m**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -22*l - 6. Let s be b(-7). Let y = -93 + s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10112.5 + 10112. Which is the biggest value?  (a) -2  (b) 4396  (c) 0.1  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -854  (b) 10  (c) -0.2  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*g = -2083 - 170 + 237 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 765 and 1680102.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8330 divided by 98?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(243))*6 + 0 - (4 + (-2*sqrt(243))**2 + 2 + 2*sqrt(243)))*3 + -5.\nAnswer: -2903 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 234 + -37?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 480118 to the power of 1\/2, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/150976 and -103\/4676.\nAnswer: 25212992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 2*g**2 + g. Let t be z(2). Let c be 5*(t\/2 - 2). Suppose -23 = -2*m + 3*s + 21, 0 = -3*m - 3*s + 36. Sort c, m, 4 in ascending order.\nAnswer: c, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 162732 and 16617?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54 = -4*j + 23*j - g, 12*j = 10*j + 2*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(528)\/(1*sqrt(12)))\/(sqrt(484) - 3*sqrt(484) - sqrt(4)) - (-4*sqrt(22)\/(sqrt(2) + sqrt(4)\/sqrt(2)) + 1*sqrt(539)*-4).\nAnswer: 689*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 8:13 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3512883 divided by -2\nAnswer: 3512883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -81 + 84. Let t be (4 - w) + -1 + 3 + 0. Solve 0 = t*s + 2*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3 - 2365*q**2 + 1394752*q + 4205568.\nAnswer: (q - 1184)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/10149 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -576*v - 22024 + 11351 = 14095 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.26 - -3.88. Let r = -0.14 + o. Let t = 1.92 - -0.08. Which is the closest to 1?  (a) t  (b) -5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/77*(-77)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43*v**5 + 2*v**4 - 4*v**2 - 2156*v.\nAnswer: 860*v**3 + 24*v**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z - 6. Let c be r(-3). Let w(o) = -o**3 - 7. Calculate w(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -166 divided by -3\nAnswer: 166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1944300 rounded to the nearest ten thousand?\nAnswer: 1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y + 9*y - 3*y)*(-2*y + 2 - 2) - 29716*y - 933*y**2 + 29716*y.\nAnswer: -951*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 183 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25990665 is divided by 12995330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 151.138 * -10.77.\nAnswer: -1627.75626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = 4*q - 14, -1082*q + 1091*q - d = 43 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 78*v**5 - 110*v**2?\nAnswer: 4680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 105804451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 1229*t - 3 - 614*t - 625*t in the form b + n*t and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110*o = 5051634 - 734024. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3abc2a - 5?\nAnswer: 3abc25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -5, -17899, 2 in descending order.\nAnswer: 2, -0.5, -5, -17899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 52314373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 674 divided by 37280\nAnswer: 337\/18640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 2*t + t. Suppose 2*c + t = 5*c. Let h be (7 + 1)\/(2\/8). What is the greatest common divisor of c and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9990, -9956, -9900, -9822, -9722, -9600?\n\"Answer: 11*r**2 + r - 10002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.3 - -6208.\nAnswer: 6205.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -48\/17 - 6534\/17*y**3 - 4092\/17*y**2 - 776\/17*y + 2662\/17*y**4 = 0. What is y?\nAnswer: -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*z**2 - 9*z**4 - 3*z**3 + 2*z - 2*z**2 + 7*z**4 to k*z**3 + h*z**2 + n + l*z + g*z**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 179828 * 31\nAnswer: 5574668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xiea when four letters picked without replacement from {o: 2, e: 2, x: 1, i: 1, a: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, -6\/13, -11, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 141*h*s**4 - 10089958*h - 4*s**2 + 1828*s wrt s?\nAnswer: 564*h*s**3 - 8*s + 1828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 647553537?\nAnswer: 3, 71950393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68.37168 decades to years.\nAnswer: 683.7168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, k: 6, g: 4, w: 7, q: 1}. Give prob of picking 1 w and 1 g.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 17*x**3 - 25*x**2 - 13*x + 13. Let o(n) = 8*n**3 - 12*n**2 - 6*n + 6. Let k(w) = 13*o(w) - 6*s(w). Find the third derivative of k(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 4230216?\nAnswer: 4230216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006867008965 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g*g\/g**(-8\/11)))**(1\/22)*(g**27)**(-2\/15) assuming g is positive.\nAnswer: g**(-2198\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggwggwvvvgvggwggggg. Give prob of picking 1 v and 2 g.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8 - -4*1\/(-2). Let f(l) be the second derivative of -l**3\/6 - 3*l**2 + 23*l. Let k(w) = -2*w - 11. Determine r*k(q) - 11*f(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3402 + -3405. Sort 4\/3, v, 54\/7.\nAnswer: v, 4\/3, 54\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**2 + 6*w + 5. Suppose 0 = -3*t - 2*z - 12 - 10, 0 = 5*z + 10. Let k be g(t). Let m = -43 - k. What is the highest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47064240.\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2547*l - 5693 = 19159 + 18447 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22227593.\nAnswer: 22227593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 10)*(4 + 2 - 2)*(2 + 2*h**5 + 1 - 4*h**5 + h**3).\nAnswer: 72*h**5 - 36*h**3 - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 29. Let b(o) = 358*o**2 + 22*o - 61. Let p(f) = 73*f**2 + 4*f - 11. Let r(y) = -4*b(y) + 22*p(y). What is x(r(i))?\nAnswer: -30276*i**4 - 696*i**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -1098  (c) 0.5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280 is divided by 64.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3)\/1*(-3734)\/(-6)*-1.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**2\/9 + 12*b + 45974\/9 = 0. Calculate b.\nAnswer: -127, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -5*c + 133, -63 = -3*c - 2*f + 16. Calculate the remainder when 118 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 6:31 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(-1)\/((-12)\/(-18)). Let b(u) = 2*u**3 - 2*u**2 + 2*u + 5. What is the remainder when 140 is divided by b(x)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.023 * -442.\nAnswer: -10.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -q + 45. Let g = -66 + q. Let v(a) = 7*a**g - 6*a**2 + 0*a**2 - 2*a**2. Let y(s) = 2*s. Determine y(v(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1235794 and 2884.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 377109 - 17543997*z - 377109 + 17543997*z - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (1330\/(-171))\/70*6\/(-10)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4619 and 555472.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 10.4. Let r = z - 0.6. Which is the nearest to -2\/7?  (a) -3  (b) 2\/17  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 31\/5 of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 211 - 69 = 0. Suppose 53 - t = -6*d. Solve d*q + 3 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -9 + 17 + -3 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of 1\/6*w**3 - 1\/4*w**4 + 0*w + 1\/60*w**5 + 0 + 3*w**2. What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8452 or 8045?\nAnswer: 8045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3441040103 (base 5) to base 13.\nAnswer: -17b58c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 831 + -1413. Let b = -582 - q. Sort b, 0.3, -78 in descending order.\nAnswer: 0.3, b, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16 - -48) + -30 - (94 + (2 - 1))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8453 is divided by 273?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 - -127*(-48028)\/438288. Let d = -1\/9131 - n. What is the common denominator of -1*3 - (-1199)\/154 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0865528 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -3*s - 2*k - 4, 0 = 5*k + 10. Suppose 0 = -4*d + d + s*d. Suppose d = o + 42 - 46. Solve -2*w + 2 = -3*f, -2*f - f + o*w - 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(420)\/sqrt(7))\/(sqrt(80) - sqrt(80)*-2).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 25 = -5. Let n be 1\/((-4)\/10*c\/(-52)). Let r be (-104)\/16*2*-5. Calculate the greatest common factor of n and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 393*a**3 - 2*a**2 - 17484*a wrt a?\nAnswer: 2358*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a*f**3 + 104*a*f**2 - 247*a - 1 wrt f?\nAnswer: -6*a*f**2 + 208*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**5 + 318*h**4 - 645*h**3 + 324*h**2 = 0 for h.\nAnswer: -108, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 486\/(-945)*(-2100)\/675\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -184, -0.9, 0.1, -387\/20 in increasing order.\nAnswer: -184, -387\/20, -0.9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 1:19 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + 4.9. Which is the closest to -0.1?  (a) p  (b) -5  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46.682 + 47.2. Round o to 2 decimal places.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (10 - 4) + -1 + -3. Suppose -5*t + 3*t = -r. Let w(n) = -5*n + 1. Let f be w(t). Which is the nearest to 1?  (a) -0.4  (b) -4\/9  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -493, -415, -335, -253, -169?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 less than -0.00407191466?\nAnswer: -8.00407191466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -15*h**3 + 3*h**2 - 694*h - 4. Let o(g) = 4*g**3 - g**2 + 231*g + 1. Determine -2*i(u) - 7*o(u).\nAnswer: 2*u**3 + u**2 - 229*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*h**2*v - 7194*h**2*z**2 - 2*h*v + 2*h*z - 2*h - 249*v*z**2 - 2*z**2 wrt h.\nAnswer: 10*v - 14388*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1038*(462\/126)\/(2\/6).\nAnswer: 2, 3, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v. Let k(z) = 4*z. Let g(a) = -a**3 - a**2 + 7*a + 4. Let b be g(-3). Let w be (2 - 1)*1*b. Calculate w*k(r) + 4*o(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -o - b + 10, 0 = -o - 4*b + 25. Let s be -6*-3*(-3)\/(-54). What is the closest to s in o, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 539*v**2 + 7*v - 3. Let o(j) = 1071*j**2 + 16*j - 6. Let y(w) = -4*o(w) + 7*s(w). What is the second derivative of y(f) wrt f?\nAnswer: -1022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -9*q + 1. Let l be r(-8). Let h = 123 + l. What is the highest common factor of h and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/9 - 46532*t\/9 - 744256\/9.\nAnswer: -(t + 16)*(t + 46516)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 111001010011?\nAnswer: -111001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**5 + 4*b**3 + 0*b**3 - 6*b**3 - 2*b**4 + 2*b**2 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18514727529*s**2 - 18514727529*s**2 + 7*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zhhcxrrhxrhlxrxhhlhl. What is prob of picking 1 x, 1 l, and 2 h?\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 - 7*w + 10. Let d be b(6). Suppose -5*m + 28 = d*h, 0 = -2*h + 6*h - 8. Solve 0 = 5*o - 5*t + 16 + m, 4 = 3*o + t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-21)\/6 - 1)*2*(-90 - -91). Are v and -375 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300) + (-1 + sqrt(300))*-3 + sqrt(300) + 4*sqrt(300)*2 + -1 + sqrt(972) + (sqrt(1452) - (-1*sqrt(1452) + sqrt(1452)) - sqrt(1452)))**2.\nAnswer: 352*sqrt(3) + 23236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of -4*f**6\/15 + f**4\/2 - 5*f. Find the third derivative of r(y) wrt y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 8, 5*g = 8*x - 9*x + 25. Let o(d) = -d**3 + 6*d**2 + 15. What is the remainder when o(x) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2468\/5 + 496. Let k = f + -63\/20. Let w = 3 + -3.1. What is the closest to w in k, 4, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 1:21 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 202183.\nAnswer: 202183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 546361396 > 546361398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.144707 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 + 48*n**2 + 758*n + 10. What is q(-12)?\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.5 + -2. Let q = 5.2 + -4.2. Which is the third smallest value?  (a) n  (b) q  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -a09f2f?\nAnswer: -a09f31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/(-4))\/(-7 + (-58)\/(-8)). Let r(t) = 845 + 2*t**g - t**2 - 845. Let l(j) = -j**2 - 261*j. Give l(r(c)).\nAnswer: -c**4 - 261*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -882\/5 - -415412\/2355. Is s equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5408332 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -94 and -2795.\nAnswer: 262730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1472994888 to the nearest integer?\nAnswer: 38380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-14) + 533\/(-91) + 5.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 5)*(88*n - 109 + 109)*(-n**2 + 4*n**2 - n**2)*(-1 + 1 + 6).\nAnswer: 1056*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3145, 1538, -69?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 + 11*b**2 - 11*b + 14. Let n be o(10). Let f = 15 - n. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 2*o**2 - 16*o + 17. Let z be m(1). Suppose a = -4*c + 327, 2*a + 4*c = 6*a - 1248. Let g = a - 1569\/5. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6.042099 tonnes?\nAnswer: 6042099000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 1\/6, -2\/11, -5, 1 in decreasing order.\nAnswer: 1, 1\/6, -2\/11, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8\/10)\/(4\/10). Let x be y - (0\/4 - 2). Solve 5*l = f - 20, -5*f = x*l + 7 + 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (1 - (-3 + -1) - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (324 + 2)*(-12)\/(-24). Let w = k - 89. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7792.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4 + 4)*(3*z + 0*z - z) + 4*z - 3*z - 3*z + 0*z + 2*z + 0*z + 834*z + 322*z - 159*z to the form q + l*z and give l.\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6936 - -12881. List the prime factors of a.\nAnswer: 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g**2*t**3*x - 119*g**2*t**2 - 5*g**2*x**2 + 8*g*t**3 - 2*g*t - 3*t**2*x + 10*x**2 wrt g.\nAnswer: -2*t**3*x - 238*t**2 - 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q + 68. Let f be c(8). Let t = f + 1. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42 - 40. Let w(k) = k**3 - 3*k**2 + 5*k - 4. What is the least common multiple of 22 and w(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 704 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -87 + 265\/3. Let b(o) be the second derivative of f*o**4 + 0*o**2 + 16\/9*o**3 + 0 + 2\/5*o**5 + 2\/45*o**6 + o. Factor b(d).\nAnswer: 4*d*(d + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-296)\/(-10))\/((-136)\/(-204) + 4\/(-10)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 36151*z + 39285?\nAnswer: 36151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -7*j + 20*j. Is 70 - 0\/(-6) - (j - 1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 64 + -26. Let u = -37.36 + w. Round u to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**4 + 75*p**3\/7 + 244*p**2\/7 + 204*p\/7 - 80\/7 = 0.\nAnswer: -5, -4, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rxorxribopob. Give prob of picking 2 x and 1 i.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w**3 - 15*w**2 + 8*w + 3. Let f be j(-8). Solve -2*o + f = -3*s, -3*o - 5 = -0*o + 5*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1728)\/(-108) + 185\/(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -57843\nAnswer: 17352.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -573 + 581. Let h = 0.1 + -0.1. Which is the third biggest value?  (a) n  (b) h  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -10 - (-1 - 13 - -4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 1169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 112 = -3*h, 3*h - 2*h - 4 = 0. Let j be 5 - 0*(-3 + 0 + 2). What is the highest common factor of j and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**3 - 4*b**2*c*s**3 - 4*b**2*s**3 + b*c*s**2 + b*s + c*s**2 - s**3 wrt b.\nAnswer: 12*b - 8*c*s**3 - 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 112 + 69 = -4*n - 71, -2*n - 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.8623 times -0.1\nAnswer: -0.08623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 11, 10, 7, 2, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.0062 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1135 a factor of 88098553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 5*i + 28 = -0*i, 3*i + 12 = 0. Calculate the highest common factor of w and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 + -22. Sort -4, c, 1, 2.\nAnswer: -4, 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.126 - -0.074. Suppose -c - 2 = 2*z - 6, -c + 5 = 3*z. Suppose c = -o - 2. What is the smallest value in h, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 49, 1\/3, 2\/53?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20 + -4. Is c smaller than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 1 - 9. Let o = -85 + 89. What is the closest to 1 in 2\/3, q, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -96, -308, -662, -1158, -1796, -2576?\n\"Answer: -71*z**2 + z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 49368, 98847, 148338, 197847, 247380, 296943, 346542?\nAnswer: 396183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (51\/(-4) - -4)*(-4)\/14 + 2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-1)*(70\/(-3))\/(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -18*x + 31. Let s(g) = 53*g - 94. Let m(t) = 7*p(t) + 2*s(t). Is m(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m + 44 = 4*p, 78*m + 14624 - 14312 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57*t**4 - 2*t**3 + 942*t wrt t?\nAnswer: -684*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/3 - 2\/(-3). Let p = 2001\/20 - 514\/5. Let y = p - -5\/2. Which is the nearest to 0?  (a) 0.2  (b) d  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2989 - 2990. Put y, -3, -5, 6 in ascending order.\nAnswer: -5, -3, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 102*y - 87*y. What is the remainder when ((-13)\/(-3))\/(4\/60) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 0*p + 2 = q, -5*p = 2*q - 2. Let a be 15\/10 + (-122)\/q. Suppose 3*b = b - w + 44, 2*w + 4 = 0. Solve -3*y = 3*n - b - 1, 5*y = -3*n + a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/1524 and 127\/12.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3585*69.9\nAnswer: 250591.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 4*y + 6, 5*q - 5 - 6 = -y. Let x(g) = 21*g**3 + 3*g**2 + g - 1. Let f be x(-1). Let n = f + 23. Solve -n*h = -5 - y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 3*v - 10*x + 76, 5*v = -3*x + 234. What is the lowest common multiple of v and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) -5\/4  (c) 12  (d) 3\/5  (e) -196\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -5. Let k = -8 + u. Let f = -2 - k. Solve 0*p + 4*p = -4*o - 16, -5*o + f*p - 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 506*q - 3033. Let t be y(6). Solve -5*u = -8*u - 6, 9 = -3*j + t*u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3\/10)*t*t**(-1\/13))\/(t\/t**(-2\/17)*t)**(1\/5) assuming t is positive.\nAnswer: t**(441\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29420 + 29420 + 5521*b to the form r + v*b and give v.\nAnswer: 5521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5112 = -8*c + 672. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + f + 23. Let i be (20\/6)\/(5\/(-15)). Let x = i + 16. Calculate the remainder when n(0) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1567\/4 or -392?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzsszpdzsdzzpzpz. What is prob of picking 1 s and 1 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 1. Let c be (-2)\/12 - 825\/(-198). Solve 0 = o*i + 14 - c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 265, 277, 307, 361, 445?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = 19*f - 20*f + 2, f = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 7*l - 26. Let t(x) = 0*x + 6 + 3*x - 3. What is the tens digit of t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 53, 24565, 11, -2.\nAnswer: -3, -2, 0, 11, 53, 24565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 194609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/10)\/((-85)\/25).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 2*m - 131*x = 2902, -x - 21 = -5*m + 2*m + 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, d: 5}. Give prob of sequence dd.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2780, -5526, -8256, -10964, -13644?\n\"Answer: f**3 + 2*f**2 - 2759*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(2057) + 1 + 0 + sqrt(2057) - sqrt(2057))**2.\nAnswer: 22*sqrt(17) + 2056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 1:40 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 30 = 0, -966 = -9*q - 11*x + 10*x. What is the remainder when q is divided by 82?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*110\/5)\/(354\/531).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 439 a factor of 286835137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 28, -2, 0.3, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2147*x**4\/3 + 19906*x**3 + 46840*x**2\/3 - 3442*x + 135 = 0. Calculate x.\nAnswer: -27, -1, 1\/19, 15\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 245088 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1456 = -4*v + 17*v. What is the remainder when v is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2022 less than -9.513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 623502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from brbb. Give prob of sequence br.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**4 - 987538*h**3 - 10342430*h**2 wrt h.\nAnswer: 24*h - 5925228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*g + 35 = 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1655 = -9166*z + 90005 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, -0.07, 76\/3, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 9*v**2 + 4*v**4 - v + 5*v**2 + v**2 - 2 - v**3 to z*v**3 + l*v**4 + k*v**2 + x*v + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 341329.57 times -0.5\nAnswer: -170664.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4298, 16185, 36000, 63749, 99438?\n\"Answer: z**3 + 3958*z**2 + 6*z + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2761 + 2763. Let o = 2.5 - 3. Let w = -16 + 13. Put 4, w, o, t in descending order.\nAnswer: 4, t, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -2 - 1. Let o = 1 - t. Solve 7 = 3*m - o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 46 = -5*y. Let c(o) = 3*o + o - o**2 + y - 2. Let n = 105 + -100. What is c(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3876489 + 16992?\nAnswer: -3859497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4221.802 days in minutes?\nAnswer: 6079394.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -39826 divided by 2\nAnswer: -19913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ecexh. Give prob of sequence ee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 4*u = 5*i - 16, 4*i - 4 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(70\/(-21)))\/(516\/473)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-44 + 239 + 522)*(0*v**2 + 0*v**2 + 2*v**3) as g*v + b*v**3 + r + c*v**2 and give b.\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20418 and 4182?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 44407 divided by 5\nAnswer: 44407\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ngdggnfrngrnrng. What is prob of picking 1 g and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*-2*(-13)\/26. Let l = c - -62. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4296500 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.034, -0.54, 4 in decreasing order.\nAnswer: 4, 0.034, -0.1, -0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 1\/2*z**3 + 0*z**2 - 5\/24*z**4 + 1\/60*z**5 + 0 + 4*z. Let c(n) be the second derivative of q(n). Determine c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4 + 0.1. Let g = -76.37 + 76. Let z = 0.17 + g. Sort -0.5, n, z.\nAnswer: -0.5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*x**2 - 10*x**2 - 14*x**2 + 16*x**2 - 38*x**2 - 4*x**2.\nAnswer: -89*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 201795*j**3 - 51 + 106 + 106900*j**3 - 55.\nAnswer: 308695*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 0*o - o)*(-4*o**3 + 5*o**3 + 4*o**3)*(-16 - 3*o + 16)*(4 + 2 - 7) - o**2 + 4*o**5 + o**2 + (0*o - 3*o + o)*(-5*o**4 + 3*o**4 + 3*o**4).\nAnswer: -28*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50736 and 816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, y: 11}. Give prob of picking 2 y and 2 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 282006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) 0.2  (b) 17666  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 463278 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(3))**2*6 - sqrt(768).\nAnswer: -16*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -3*s + 271*a - 272*a, 3*a = 5*s - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 119 - 116. Suppose 7 = -g*o - 2*c, -13*c = 4*o - 17*c - 4. Which is smaller: 53 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of -l**5\/20 + 34*l**2. Let q(y) be the first derivative of -y**3\/3 + 1. Determine q(c(v)).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-3))\/(3*28\/(-8))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 31065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -405 at most -2523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.2  (b) -8  (c) -0.05  (d) 2  (e) 0.109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 393\/(-21) + 10\/(-35). Let h = c + 21. Let m be 6 + 15 + h*2. Solve -m + 0 = 5*s, 4*d + 4 = -4*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t - 15. Let w be z(10). Suppose 44 = 5*g - 16. Suppose 9*k + 10 = d + 4*k, d - 3*k - g = 0. Is w < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3028, -4564, -6084, -7582, -9052, -10488, -11884?\n\"Answer: s**3 + 2*s**2 - 1549*s - 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -3*k**3 - 3*k**2 + k + 2. Let b be w(-2). Let p be (-115)\/46*b\/(-10). Sort p, 4, 2 in descending order.\nAnswer: 4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 31, -18 in ascending order.\nAnswer: -18, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1078) - (sqrt(1078) + sqrt(1078) + 2*sqrt(1078)) - sqrt(1078))*-6 + sqrt(1078)*-1*1 + sqrt(1078))\/(((sqrt(66) - sqrt(66)*-1)*-5)\/(sqrt(54)*-4)).\nAnswer: 1008*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -45 - 15. Let j be (-80)\/(-14) - 6\/(-21). Let l be 20\/(-3)*(-9)\/j. Calculate the greatest common divisor of l and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -187, -21, 523, 1637, 3513?\nAnswer: 6343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -4, 52 in descending order.\nAnswer: 52, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 9, a: 2, r: 6}. Give prob of picking 2 a, 1 r, and 1 v.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 22955110093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54987 (base 10) to base 16.\nAnswer: d6cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 214, 2, 2209 in decreasing order.\nAnswer: 2209, 214, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 972 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from {o: 2, p: 2, c: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 29*h**4\/4 - h**3\/3 - 129*h**2\/2 - 27. What is the second derivative of n(z) wrt z?\nAnswer: 174*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4393.\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -3 - 8*j**2 + j**2 - 5*j**3 - 4*j + 5*j**2 + 2*j**3. What is the tens digit of y(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140309 is divided by 494.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2221294 is divided by 123405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 528, 1021, 1470, 1851, 2140, 2313, 2346, 2215?\n\"Answer: -4*w**3 + 2*w**2 + 515*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 3*k)*(4 + 3 - 4 + 3 - 1 - 3 + (-2 + 0 + 3)*(2 - 5 + 2)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*w = 2*w - 11, 13 = -k + 5*w. Solve -v - k = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 22*((-3)\/(-2) + -1). Let x(g) = 23*g - 16 + 54*g + 3 - 76*g + 1. Determine x(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36 + 96. Suppose -31*w + i = -29*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -83 + 36. Let p = -42 - d. Solve 3*h + 7 = 2*x, -3*h + x - 13 = p*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-36)*12*24\/(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/65562 and -79\/18?\nAnswer: 196686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 325 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 5*3*sqrt(125) + -4 + sqrt(125)*-1)**2.\nAnswer: -1260*sqrt(5) + 24581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*j + 19*j**2 - 54*j + 114*j.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2524806515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((0 + 1)\/6). Let s be (-33)\/21 + 1 - 469460\/224. Let h = s + 2101. Is h greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12722102?\nAnswer: 2, 1619, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i + i + 70. Suppose 0 = 3*p - 4*r - 297, 2*r - 89 = -8*p + i*p. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*c*l**2*n**2 + 11*c*l**2*n*p + 8*c*l**2 + 49*c*n**2 + 32*l**2*n**2*p wrt p?\nAnswer: 11*c*l**2*n + 32*l**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194754 is divided by 8141.\nAnswer: 7511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-84)\/(-4))\/(1 + -2). Let k be (-14)\/v + 62\/(-3). Let r = -16 - k. Solve -5*a = r - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 8. Give k(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 4:03 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = i - 11 - 2, 2*i - 10 = 2*b. Let l(j) = -j - 7. Let g(c) = c + 6. Let t(p) = -7*g(p) - 6*l(p). Does 2 divide t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -11*r + 1. Let t be b(1). Let q(u) = -3*u - 13. What are the prime factors of q(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 980 and 6061720?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 75651075 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 235?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -3*m**2 + 12*m + 9. Let f(j) = j**2 - 6*j - 4. Let c(i) = 5*f(i) + 2*l(i). Suppose 0 = 23*p - 15*p. Suppose 12*q - 32 + 80 = p. Calculate c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 103 (base 7) to base 5\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + 7*r**2 + 10*r + 1. Let f be n(-5). Suppose -f = -2*a + 33. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -0*i - i - 4, 3*x - 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 121 + 17. Suppose q = -4*q + z + 329, -2*z - r = -2*q. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/6633697 and 46\/10424381.\nAnswer: 72970667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w + 9. Let u(h) = -4*h - 7. Let y be u(-5). Let o be m(y). Let x be 4\/(-16)*o\/(-5). Which is the nearest to 2\/3?  (a) 3  (b) x  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from peapvydpyppppp. Give prob of picking 1 y and 1 v.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -361379 * -0.4.\nAnswer: 144551.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 9208*w = -9214*w + 66, -71 = -3*n - 8*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (40\/30)\/(-1 - (-74)\/66). Solve 12*f - k*f + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + (19 - (-8 - -17 - 2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i**2 + 4*i**2 - i + i. Let o(u) = -u**2. Give j(o(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3892 - 4b?\nAnswer: -38dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -10*c + 6. Let f(h) = -12*h + 6. Let p(u) = 4*f(u) - 5*w(u). Determine p(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*h**2 - 4*h**3 + 4*h**2 + (2*h - h + 0*h)*(h**2 + 2*h - 2*h) + (0 + 0 + 2*h**2)*(2*h - 2*h + 2*h) in the form g*h**2 + w + a*h + y*h**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 35 - -95. Let a = 395\/3 - f. Let w = 0 + 2. Is a at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*t + 0*t + 5*t**2 - 3*t**2 - 6*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/(-15)*(-5)\/(-4). What is the second biggest value in p, -2.4, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10.8 - -10.3. Let b(y) = -y**2 + 1. Let r be b(4). Let d = -5.25 - -3.25. What is the second smallest value in u, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141 - 1115 = -8*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 108.2 + -108. Which is the fourth biggest value?  (a) 5\/3  (b) z  (c) 2  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 - 3)*(0*b - b - b).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -68  (b) -9  (c) -0.4866  (d) -2\/7  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a - 346 = -36*a - 4*x, -4*x - 144 = -2*a. What is the greatest common divisor of a and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1 + 22*d**2 - 3686*d - 1013*d**4 + 6996*d**4 - 24*d**2 wrt d.\nAnswer: 143592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -399525 by -5.\nAnswer: 79905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12996 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -75*y - 1271. Determine r(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x - 3*x + 5 - 2*x - 3*x + 10*x. Calculate a(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44\/7 - 139\/21. Which is the smallest value?  (a) -5  (b) j  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**2\/5 + 93*u\/5 + 174\/5.\nAnswer: 3*(u + 2)*(u + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 339*b**6 - 2*b**2 - 234*b**2 - 382*b**2 + 164*b**6 + 6*b**6 - b**3 wrt b.\nAnswer: 61080*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29405908*y + 82 - 82 - 29405902*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2674 or -2675?\nAnswer: -2675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 288, 232, 114, -96, -428, -912?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -8*m**3 - 5*m**2 - 5*m. Give g(-2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) 0  (c) 0.5  (d) -0.5  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29*(-26)\/1131)\/((1\/3)\/(1917\/(-54)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2769994503 rounded to six decimal places?\nAnswer: -0.276999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46282.07 micrometers to centimeters.\nAnswer: 4.628207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3446816 (base 10) to base 9.\nAnswer: -6433125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(32)\/sqrt(4))**2 - (sqrt(2) + 0 + 5)**2) + (sqrt(40)\/(-3*sqrt(4)))\/sqrt(5)*-4 + 3.\nAnswer: -16 - 26*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 divided by -2206.\nAnswer: -19\/2206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 25 = -2*v, -47 = -23*v + 17*v - t. Solve 0 = -v*f - 36 + 54 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 295013807887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*m**3 - 19948*m**2 + 205376*m - 78960.\nAnswer: 4*(m - 987)*(m - 10)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-4)*(-432)\/(-1782) - 2172\/(-33). Suppose -4*k = k + 20, 0 = 3*v + 4*k - 314. What is the greatest common factor of v and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-28640)\/56 - -5) + -10. Let u = -516 - p. Determine c so that u*c**3 - 45\/7*c**2 - 375\/7 + 225\/7*c = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c**2 - 31*c - 19*c + 65*c - 12*c.\nAnswer: 6*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 3)*(0 - 2 - 2)*(-37 - 104 + 47)*(-5*p - 2*p + 5*p).\nAnswer: -1504*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 680 - -1134. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-114)\/(-45*(-9 + (-176)\/(-20)))?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 2:08 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2423*r + 809*r + 799*r - 1 + 814*r + 1.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c - 9. What is the remainder when b(11) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 - ((-4)\/((272\/(-40))\/(-17)) - 78).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1276921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-6\/11))\/z**7*z**(-1\/11)\/(z**(1\/3)*z) assuming z is positive.\nAnswer: z**(-263\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.57, 61, 3, 1\/4, 1, -2\/5 in decreasing order.\nAnswer: 61, 3, 1, 1\/4, -2\/5, -0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 1 - 4)*(1 - 3 + 3)*(-1 + 1 - v) + (1 + 0 - 3)*(-2*v + 0*v + 0*v))*(-21 + 14 - 27).\nAnswer: -170*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - a + 5*a - 2 = 0, -7 = p - 2*a. Let d be 0\/(1*(-1 - -2)). Suppose d = -r - 5. Which is greater: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c - c + 3*c)*(18 + 7 - 24 + 75*c**2).\nAnswer: -225*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00013811956309 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1193191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-117)\/((-811512)\/272)*9*(-2)\/4?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 6*a**2 + 6*a - 8. What is the remainder when 180 is divided by t(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 10:58 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-9) + (-20)\/9. Let x be k\/7 - 9\/(-7). Let v = 2981 - 2979. Which is bigger: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, g: 4, w: 1, k: 2, d: 2}. Give prob of sequence wa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -288092.\nAnswer: 5\/288092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pvvlvnvnlnvlvlnww. What is prob of sequence lv?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -72  (b) 1\/3  (c) -0.6  (d) 4  (e) 1  (f) 0.4556  (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1539, -4, 1, 0 in decreasing order.\nAnswer: 1539, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11103 + -1202. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/(((-4)\/(-10))\/(56\/(-140))) + 381095. Round j to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 23*g - 69*g + 20*g + 25*g + 4. Determine j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 2*w - 18 = 0, w = -4*y + 2*w + 9. Differentiate -y*m**3 - 3*m**3 - m**3 + 6 - m**3 wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 133 - 1465\/11. Let i = -411 + 399. Which is the third biggest value?  (a) 1\/2  (b) i  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -16*h - 168. Let n be d(-31). Which is smaller: 327 or n?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1186, -2344, -3490, -4624?\n\"Answer: 6*h**2 - 1176*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3 - 3902*j**2 + 3904*j.\nAnswer: -2*j*(j - 1)*(j + 1952)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 5:52 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 455 = -15. What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 481425 is divided by 160446?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -4*c - o - 0*o, -3*o - 11 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 3. Suppose l + 0 = -3*s. Which is bigger: -12 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*a*w**4 + 129*a*w**3 + a*w**2 - 19*a - w**4 - 397*w**3 + 52846*w wrt w?\nAnswer: -48*a*w + 774*a - 24*w - 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 142713 + 38?\nAnswer: 142752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 8078 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(280)\/(sqrt(35)\/sqrt(5)))\/sqrt(8) + sqrt(20)\/(sqrt(2816)\/sqrt(11)))**2 + 5.\nAnswer: 725\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 o, and 1 z when three letters picked without replacement from jzizoiizozwozzzwo?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 651\/3 + (-9)\/(-3). Let j be 3*(r\/(-15) - -2). What is the smallest common multiple of 6\/(-9) + j\/(-3) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5277516 months in years?\nAnswer: 0.0439793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 71 - -179?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (-30)\/(-14) + -1. Let n(z) = z**2 + 46*z + 45. Let k be n(-1). Sort -4, 8, u, k in descending order.\nAnswer: 8, u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23004 and 7668.\nAnswer: 23004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 1:12 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 962, 954, 940, 920?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 40 = 3*k, -2*g + 4*k + 23 = -g. Suppose -25 = g*p - 12*p. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 3*l - 811, 3*l - 2*l + 5*p - 237 = 0. Suppose l = 3*k - 383. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 195253.8 millilitres?\nAnswer: 195.2538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -3\/13, -2\/3, -1\/17, 20, -0.1, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 332.99999705 + -333. What is d rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 less than 1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2261*b + 1942195. What is l(859)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2416*d - 2474. Give l(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 427105248.\nAnswer: 2, 3, 59, 75407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-8)\/((-72)\/21))\/((-4)\/12))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 342991.3, -1, -0.5, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(sqrt(54)\/(sqrt(6)*2 + sqrt(6))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/(sqrt(4) - sqrt(64)*-5))\/(sqrt(1296)*1 + sqrt(1296) - -6*sqrt(144)).\nAnswer: sqrt(7)\/1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 16*r - 168. Let q be g(11). Does 53 divide (1 - q) + 1154 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/684 and 125\/1368.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7 - 1 - (19 - 15). Let l(u) = -u**2 - 3*u + 2. Let s(m) = 3*m**2 + 7*m - 4. Give k*s(i) + 5*l(i).\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23976844?\nAnswer: 2, 367, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 190. Let z be x(0). Let a = 34 + -30. Suppose -a*m + 5*c - 155 = -6*m, 3*m - z = c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n. Let j(u) = -203178*u. Calculate j(w(l)).\nAnswer: -406356*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express x**4 - 13*x**3 + 13*x**3 + (-35*x**3 + 143*x**2 - 143*x**2)*(-5*x + x + 3*x) in the form p + f*x + d*x**3 + b*x**4 + a*x**2 and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-1\/7)*y*y**(1\/6)\/y)\/(y**(-13)\/y**(-10\/9)) assuming y is positive.\nAnswer: y**(1663\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 11*h = -29, 125*h - 127*h = -5*u - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/7, -2\/11, 2, -3, 6\/47?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 112 and 466235.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60)\/360*6\/(-4)*-1*68?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1095 + 0.0805. What is the nearest to -0.4 in -0.5, -3, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/28?  (a) -0.4  (b) -84  (c) 0  (d) 1622\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5600 and 4400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 25\/40*-28*1395\/3150\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20 - -27. Let v(z) = -8*z**3 + 6*z**2 - 7*z**3 + 21*z**3 - 14 + 9*z - 7*z**3. Let x be v(b). Sort x, -2, -1 in decreasing order.\nAnswer: x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 3*o + 2. Let u be b(-3). Find the third derivative of u*d**6 + 2*d**2 + 0*d**2 + 2*d**6 - 8*d**6 wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4451263 (base 9) to base 3.\nAnswer: -11111201022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2. Let j(g) be the third derivative of -4*g**2 - 1\/20*g**5 + 0*g**4 + 0*g + 0 + 0*g**3. Determine j(u(i)).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + (9 - 0))*(-336)\/(-288)*4\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261\/(-435)*1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -16, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002345815 to 7 dps.\nAnswer: 0.0002346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8 + -1001?\nAnswer: -1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11 + 1402?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 2*m = 3*m + 40, 2*d = -5*m - 10. Suppose 5*s + d = -25. Let a = 16 + s. Calculate the least common multiple of 9 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 18 - 3*p + 17 - 41. Let n be a(-4). Solve 3*j = -n + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 932 is divided by 399?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-8))\/x)\/x*x)\/(x*x**(3\/7)\/x) assuming x is positive.\nAnswer: x**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 - 1. Let m(j) = -84 + 96*j**2 + 279*j - 134*j - 145*j. Give -168*a(d) + 2*m(d).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-4\/11)*i)\/i)\/i*i)\/i**(4\/19) assuming i is positive.\nAnswer: i**(-120\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -269.8617 to 1 decimal place.\nAnswer: -269.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*3*(sqrt(128) - (sqrt(128) + -2))**2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 103\/371 - -8\/53. Let a = 8 - 8.6. Let t = -0.4 - a. What is the third biggest value in -0.6, p, t?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 324*f**2 + 18*f + 2*f - 7*f - 7*f.\nAnswer: 324*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + u + 0 = 19, -u + 21 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u. Let q(a) = 2*a**3 + a**2 + a - 1. Let p be q(1). Suppose -1 = 4*z + p. Let t be r(z). Solve -4*f + 4*l + 16 = 0, -t = -2*f - 3*l - 2*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 + 1961*p**2 + 1344*p**2 - 2305*p**2 + (p - p + 2*p)*(p + p + 0*p) to the form h*p**2 + r + b*p and give h.\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2 = -0. Suppose u - 23 = -4*q, -5*u + 0*q + 4*q = -67. Solve -11 = -2*n + m*h + 1, -u = 3*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*t = 19*t + 36. Solve -b + 0 = 5*d - 24, 5*b - t*d = 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -3 + 1 + 0 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1811.4 and 66.1.\nAnswer: -119733.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 2*f = 0. Let w = 0.412 - -0.088. Let i be 1\/(-6)*4 + (-1)\/(-3). What is the nearest to i in w, -2\/9, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9632347 is divided by 1898?\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103 divided by 103.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 168\/(-20) - 4\/(-10). Suppose -11*a + 48 = -10*a. What is the remainder when a is divided by (-2)\/(-4) + (-196)\/g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {t: 1, o: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -1. Let o be (9\/3 + a)\/3. Suppose o*i - 20 = -5*i + 5*u, 0 = i + 2*u + 5. Which is smaller: i or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -141 + 148. Suppose r = 7*z - 196. What is the remainder when z is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6 and -49.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 2*a + 2, -2*q - 6 = 57*a - 62*a. Solve 0*s + 8 = -q*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 25 = 0, -5*l + 110*p - 106*p = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2408 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2039941*f**3 + 137455 - 432367 - 293376*f + 2039939*f**3 + 1534*f**2 = 0?\nAnswer: -1, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.1943205 + 13.194316. Let b = -0.0636 - -10.0636. Let j = b - g. What is j rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -28*w**2 - 113*w + 1. Let z be y(-4). Let j(f) = 2*f**2 - 2*f + 3. Calculate j(z).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7881.064ml in litres?\nAnswer: 7.881064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -154 + 154. Let z = 343 + -529. Put 3\/4, n, z in increasing order.\nAnswer: z, n, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -406, -832, -1272, -1732, -2218?\nAnswer: -2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 435*r**4 + 31*r**4 + 905*r**4 + 3*r**2 - 2*r**4 - 3*r**2 + (0*r - r**2 + 0*r)*(-4*r**2 + 6*r**2 - 3*r**2).\nAnswer: 1370*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 2222\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -9*v. Let h(w) = 268*w. Determine h(s(r)).\nAnswer: -2412*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*j + 4*j + 4*j**5 + (-32*j**2 - 30*j**2 - 4*j**2)*(j**3 + 0*j + 0*j).\nAnswer: -62*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 54*o**2 - o + 48. What is d(54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**6\/30 - w**5\/15 + 12*w**2 + 2. Factor s(b).\nAnswer: 4*b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 1 + -4 + 1 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 less than 11\/66454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 13.4 and -88.4909725.\nAnswer: -75.0909725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k - 10*k - 13*k + 0*k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1666 - -3411. What are the prime factors of m?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 9:20 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (25 + -20 + 0 + -13 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 55 + -1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1849897596 to the nearest integer?\nAnswer: 43010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 271*p**3 + 206*p**2 + 4*p + 10095408?\nAnswer: 813*p**2 + 412*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -657073731.3 less than -11389?\nAnswer: 657062342.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 10.9 times 130\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -223*g**4 - 1708 - 4*g**2 + 2*g**2 + 2424 wrt g?\nAnswer: -892*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -414 + 10?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h + h - h)*(-4*h**4 + 2*h**4 + 3*h**4) - h**5 - h**5 + 0*h**5 + (0*h**3 + 0*h**3 - 2*h**4)*(1 - 1 + h).\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 35 = 5*q, 3*m + 28 = -46*q + 42*q. Let s(x) = -x - 3. Let z be s(-5). Determine u so that 8\/5*u**z + 4\/5*u + 4\/5*u**3 + m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6 - (-85)\/15)\/3*6. Let f(m) = -m**3 - 2*m + 2 + 1 - 3 - 5 - 6*m**2. Let n be f(-5). What is the nearest to n in g, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 - 145665*g + 436991. Determine n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h**2 - 168*h + 774. Let m be k(5). Let j(l) = 10 + 13*l + 0*l**2 - 5*l - l**2. Let y be j(m). Which is the closest to 0.2?  (a) y  (b) -2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 247 - -36?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -667*m - 128. Is a(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 16 = 13*v. Let l(u) = 43*u + 9. Let i(d) = -11*d - 2. What is v*l(s) + 9*i(s)?\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(1500) + sqrt(60))\/sqrt(3))\/((sqrt(110)*2 - sqrt(110))\/sqrt(11))*4*6*-1.\nAnswer: 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 4 + 4 - 24118*c + 48586*c - 23883*c.\nAnswer: 585*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 1083 = 6*f + 5*p, p = -3*f - 1605. Let y = f - -762. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*i**2 + 335*i - 45*i**4 + 205*i**3 - 228*i**2 - 80*i - 70 = 0.\nAnswer: 1, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/6)\/a)**(-2\/63)*(a**3)**(-24\/5) assuming a is positive.\nAnswer: a**(-1939\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -96\/35 + 15\/7. Which is the third smallest value?  (a) -0.2  (b) 9  (c) -0.5  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5793 + 1)\/((-6)\/(6\/(-2))). Suppose 16*c = 15*c + p. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h + 7. Let d be b(3). Suppose -d*g + 160 = 40. Suppose -2*r - 2*y = -6*r + g, -22 = -3*r + 2*y. Calculate the lowest common multiple of r and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of r**6\/720 + 13*r**4\/12 - 20*r. Let l(q) be the third derivative of s(q). Let b(j) = -16*j. Determine l(b(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 19601.825 rounded to zero decimal places?\nAnswer: 19602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/1911 and -11\/336.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -121181 times 4095?\nAnswer: -496236195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -4*t. Let u be (t - 3\/6)*-6. Suppose 3 + 3 = u*i + 3*z, -2*i = -3*z + 11. Is -1 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0*(0 + (-1)\/(-3)). Let i be 7*(x + 0 + -1). Is i at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*n**3 + 1315*n**2 + 6*n - 17*n - 1315*n**2.\nAnswer: -133*n**3 - 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/4 - (-29810)\/(-5420)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9972364 * 0.3.\nAnswer: 2991709.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 4*g + 6 = -3*b, -2*g - 5*b + 16 = 0. Let d = 0 + g. Suppose -3*y - y = -3*i + 1334, d*y = -i + 462. What is i rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1643 - -31540?\nAnswer: 33183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 16811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16827356 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 59*v - 55*v. Let b(i) be the second derivative of 0*i**3 + 0*i**4 - 1\/10*i**v + 0 - 1\/2*i**2 + 0*i**5 - i. Differentiate b(o) with respect to o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k + 9. Let u be s(0). Calculate the common denominator of 5\/u*(-11919)\/(-290) and (-63)\/(-165)*(-50)\/4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 - 14*f**2 + 12*f + 18. Let y be z(13). Suppose y*l - 2*l = 1455. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*z**3 - 3 + 3 + 54*z**3.\nAnswer: 89*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 12. Suppose 12 = -3*d, -4*s + x + 6 = -4*d. Let o(m) = -s + m**2 - 3*m**2 + 2 - 3*m**2. Determine o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) 5  (b) 1\/6  (c) -1  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 4:07 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2*c)*(c**3 + 0*c + 0*c)*(2 - 2 - c + (2*c + 3*c - 3*c)*(-4 + 5 - 3) - c + c - 2*c - 197*c - 325*c - 132*c).\nAnswer: 1322*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8526.806 years in centuries?\nAnswer: 85.26806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2bc8 + -2?\nAnswer: -2bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.04 + 0.14. Let m = 4 + -4.01. Let q = -3.99 + m. Sort x, -0.2, q in increasing order.\nAnswer: q, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 151598 and 18320?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12752 and 1313456.\nAnswer: 1313456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 44*f - 141 - 2*f**2 + 75 - 34 - 142 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2. Let h(t) = -16782*t. Determine h(u(p)).\nAnswer: 16782*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23221373?\nAnswer: 7, 29, 73, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12 in -3, -2\/13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5913 + 3127. Let d = -2790.633 - f. Round d to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (10950\/(-155))\/(-10).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 7*m + 4. Let n be q(6). Let k be -2 + 4*n\/(-4). Let x(v) = -v. Let t be x(1). Are k and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7635917376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2\/11, -4, -90079, 2\/27 in descending order.\nAnswer: 3, 2\/11, 2\/27, -4, -90079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 27880814 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x - 9. Let u be b(7). Let j be 4 - 1\/(1 + u). Let o(y) be the second derivative of -y**4\/12 + 5*y**3\/6 + 3*y**2 - y. Calculate o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 8, -j + 5*j = -c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/(-88)*(-24)\/(-90))\/((-2)\/1)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 1175*f**2 - 2. Let q(z) = 2*z**2. Give b(q(w)).\nAnswer: 4700*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 552 divide 29196936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111000001100 - -10000111?\nAnswer: 111010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*q + 8*q - 60*q as b + r*q and give r.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1043766, -2087552, -3131348, -4175160, -5218994?\nAnswer: -6262856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bfppfppfpfpb. What is prob of picking 1 f and 1 b?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lluulyuuyyuulll. What is prob of sequence yllu?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1010.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 240235507 and 11.59.\nAnswer: 240235518.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 3*f + 3. Let x be z(-2). Does 21 divide (x - (-4 - -2))\/((-1)\/167)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (7 + 3)) + (15 + -12 - 13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -817506 (base 10) to base 15\nAnswer: -112356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/18*7*8\/70?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 64 = 94. Let f be 7 + g + 0\/2. Suppose 471 = 4*n - s, -4*n - f*s - 2*s = -456. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 49230 + 27417 = -1453. List the prime factors of h.\nAnswer: 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f + 6. Let m(y) = -2*y - 6. Let r(q) = -2*l(q) - 3*m(q). Let x(u) = u + 1. Let s be 1 - 0\/1 - -2. Let b(i) = s*x(i) - r(i). Determine b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 12:53 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-774)\/688)\/((-2)\/(-16))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1052993 years in months?\nAnswer: 1.2635916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - (8 - 3) - (-1 + 5 + -14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146578*d**2 + 48079*d**2 + 48347*d**2 + 50151*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(0\/5)\/(-1). Let r be 24 + -21 - (-1925 + o). Let n = r + -1075. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-5)*20\/((-10)\/(-2)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-4\/3)*l**(-2\/13))\/((l*l**(-1\/4))\/l**(-6\/11)))**4 assuming l is positive.\nAnswer: l**(-4775\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 4*u - 20 = -0*u, u + 15 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l**5 + l**5 + l**5 + (1 + l**4 - 1)*(4*l + 0*l - 3*l) - 2*l**5 - 10*l**5 + 7*l**5.\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 17 = z, 3*z - 12*q + 14*q = -12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 - 10*r + 60. Let z be h(-12). Suppose -5*u + z = 11. Solve 0 = g - 3*f - 5, u*f + 0*f + 7 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -15*f**2. Let d(o) = -13*o**2 - 36*o + 1. Let v(t) = 4*t**2 + 8*t. Let r(h) = 2*d(h) + 9*v(h). Calculate r(c(x)).\nAnswer: 2250*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 6*w + 10, 5*z = 2*w + 44. What is the highest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -4*d**3 - 2. Let c be n(-2). Let p be ((-10)\/12)\/(5*(-3)\/360). Calculate the highest common factor of p and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -6. Let h = -2 + x. Let k be (11 + -14)*(-1)\/3. Which is the closest to h?  (a) -0.2  (b) k  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 23 + 47 = 5*z, -2 = p for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -430.067*-18.\nAnswer: 7741.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t + 4*t - 3*t**3 + (0*t - t + 0*t)*(-2*t**2 - t**2 + 2*t**2) + 5*t**3 + 6*t**2 - 6*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 16 = 0, 5*w + b + 3 = 7. Suppose w*g = 21*g - 3171. Calculate the remainder when g is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1515250, -1515365, -1515476, -1515583, -1515686, -1515785, -1515880?\n\"Answer: 2*t**2 - 121*t - 1515131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1ae8 (base 16) to base 3\nAnswer: 100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4*g**2 - 7. Let n(i) = 6*i**2 - 10. Let k = 44 - 21. Suppose -3*h - k = 31. Let a be (-172)\/(-36) + (-4)\/h. Give a*n(r) - 7*d(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.242 + 5.058. Which is smaller: r or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 43  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 42471 = x, 403*y - 398*y - 5*x = 53070. List the prime factors of y.\nAnswer: 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, 4, -9702 in descending order.\nAnswer: 5, 4, 2, -9702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*((-11732)\/(-16) - 28\/7). Suppose 2*p = -76*m + 75*m + r, -5*p + 7294 = m. List the prime factors of p.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x**3 - x**3 - 3*x**3 + 5*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**7*a*a**(-6)*a)**(-1))**23 assuming a is positive.\nAnswer: a**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23 + -1023?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37283784?\nAnswer: 2, 3, 47, 33053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8596 + 119.\nAnswer: 8715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(sqrt(432)*1 + sqrt(432) - sqrt(432)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**2 - b - 6. What is the remainder when j(7) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from ynnznfynzyfnnnznn.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -111188447 divided by 47659.\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.02 - 0.12. Let l = -1.3 - j. Let u = -1.207 - l. What is u rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -130 + 220. Let h be 1\/((-2)\/(-9) + 25\/a). Solve 4*c + o = 4, h*c + 2*c + 16 = 4*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19523, 0.1, 20 in decreasing order.\nAnswer: 19523, 20, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + 1 + 4\/1. Suppose -2*z + 3*i - y*i + 17 = 0, 3*z - 24 = i. Calculate the smallest common multiple of z and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from gtzzpqz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(200) + sqrt(200) - sqrt(2))*-4.\nAnswer: -76*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 + 7*p**2 + p - 5. Let g be b(7). Suppose 0*l - g*l = -26. Let o = 35 - l. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 5*i = -10. Suppose 0 = -i*b + 3*j - 5, 2*j + 3*j - 19 = -2*b. Suppose 2*y - 104 = -b*y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42 - 0) + 122 + -149.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*w - 2*z - 6, 4*w + 13 = z. Let s be (w + -1)*12\/210. What is the smallest value in s, 0.1, 2\/9, -1\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(297) - (sqrt(297)*3 - sqrt(297) - sqrt(297)) - sqrt(297)) + sqrt(297))\/((-5*sqrt(22))\/sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 0)\/1*2\/55?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 10:02 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 25 = d. Suppose d*f = 3*f - 4028. Let y = f + 2904. Round y to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 + 15*f.\nAnswer: f*(f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -167*w - 146*w + 3756. Let d be (-2)\/4*4\/(-1). Solve c - w = j - 4*j, j = d*c - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from dppzb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1299, -10474, -35405, -83976, -164071, -283574, -450369?\n\"Answer: -1314*y**3 + 6*y**2 + 5*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.256397, -2, 9 in increasing order.\nAnswer: -2, -0.256397, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3159, 12580, 28273, 50238?\n\"Answer: 3136*f**2 + 13*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 55958685 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -3*u**2 + 7*u. Let o(q) = -q**2 + 4*q. Let h(f) = -5*o(f) + 2*z(f). Let y be h(-5). Solve 0 = y*c - m + 24, -4*c - m - 25 = 4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 0.3  (c) 24.987\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*0.283.\nAnswer: -0.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-13\/6)*o**(-24\/7) assuming o is positive.\nAnswer: o**(-235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*h**4\/11 - 334*h**3\/11 + 2444*h**2\/11 - 2438*h\/11 + 340\/11 = 0. Calculate h.\nAnswer: -34, 1\/6, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 0. Let g be 78\/24 + 84\/112. Sort -18, 1, g, y in descending order.\nAnswer: g, y, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eee when three letters picked without replacement from xeeeexeeeexe?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 346.44 days?\nAnswer: 29932416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-20)\/(-35)*(1\/2)\/(-1). What is the smallest value in n, -3, -1\/5, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of 5*x**2\/2 + 3*x + 532. Let v(c) = 1. Give 6*v(g) - z(g).\nAnswer: -5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2*-1*4\/12\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2406*h**4 - 4*h**6 - 2406*h**4 + 21*h**2 wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 78*j - 73*j + 1753 = 0, -5*x = -4*j + 2934. Put 3, x, 5, 4 in decreasing order.\nAnswer: 5, 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 925 + 33 = 5*b, 0 = 3*v + 4*b - 874. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(80) + -1 - (4 + -1*sqrt(80))) + (-3 + sqrt(80) + -2 - sqrt(80)*-1*-2).\nAnswer: -7 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*s - 7*s + 95 = 0. Let f = s - -41. Calculate the common denominator of -65\/18 and 30\/f*(-9)\/(-30).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4180500 to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2648 + -2633. Calculate the greatest common divisor of z and 2490.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 86 - 86. Suppose -4*j = 2*c + c + 3, 2*c + 10 = q. Solve -b = -j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 78059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5 + sqrt(22)\/(sqrt(22)\/sqrt(2)))*6)**2.\nAnswer: -12960*sqrt(2) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 72\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -33455*b**2 + 133814*b + 31. Calculate k(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 45\/(-10)*(-6 - (-9276)\/1566). Let z(p) = p**2 + 12*p + 10. Let c be z(-11). Are d and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 - t + 4. Let b be m(5). Suppose 3*z + 4*f = f + b, 16 = 2*z - 5*f. Solve 0 = 2*j - 6*j - z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q - 3. Let i(h) = 51*h. Determine j(i(x)).\nAnswer: 102*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.062208 to 4 dps.\nAnswer: -0.0622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 3)*(-5*u + 2*u + 0*u)*(-u**2 + 4*u**2 - 2*u**2)*(6*u + 0*u - 4*u).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 299.58012 + -299.6. What is d rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -99 + 202. Suppose 3*r = 5*a - 31 + i, 12 = 3*r. Let t be 6*a\/8*(0 - 1). Solve t = -4*s - s + d, s = 2*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*c = -a + 14*c + 1519, 3*a = 2*c + 4396. What are the prime factors of a?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*(m*m*m**13*m)\/m))\/m**12*m**(6\/5)\/m**14 assuming m is positive.\nAnswer: m**(-199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -761*k - 105. Suppose 3*t = -2*d - 20, -5*d - 19 = 4*t + 17. Is z(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4668109 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*b**4 + 9057*b - 9057*b + (5 - 2 - 2)*(10*b**3 - 10*b**3 + 6*b**4).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 150 and 4539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 82*w**3 + w**2 - w + 1. Let f be b(1). Suppose 3*h - f = -2*u, -3*u + 84 - 32 = 2*h. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**15)\/b)\/b)\/(b\/b**(-20)) assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6 - 4*n**5 - 6 - n**5 + 7*n wrt n?\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 PM and 10:34 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 110260338389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*y = -8, 3*y + y = 4*m - 16. Let f = m + 3. Suppose 0 = -7*o + f*o + 128. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 + 12*i - 13. Suppose 0 = 2*d + 3*d - 50. Is 5 a factor of l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-10))\/c)**(7\/9)\/(c\/c**6*c**3) assuming c is positive.\nAnswer: c**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.094 - 0.436. Let d = t + 0.95. Let o = d + -0.42. Which is the nearest to o?  (a) -1  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -bea + 8?\nAnswer: -be2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-2))**(-16) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h - 29817 + 89447 - 29813 - h - 29817.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1466756, -2933367, -4399978, -5866589, -7333200?\n\"Answer: -1466611*p - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 157199 divided by 22457?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + 22*f**2 + 2*f + 28. Let j be x(22). What is the highest common factor of 234 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.21 + -478.79. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/3))**(-9\/4)*o**8\/((o\/((o*o**(-3))\/o*o))\/o) assuming o is positive.\nAnswer: o**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -25*a - 469. Determine y(-17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.9 + -5.067. Let a = -0.533 + y. Which is bigger: -0.066 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/1684284 and 111\/8702134.\nAnswer: 52212804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 306, 424, 544, 666, 790, 916?\n\"Answer: l**2 + 115*l + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78695 is divided by 39341.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2972 + 2970. Which is the biggest value?  (a) 0  (b) -43  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrt when three letters picked without replacement from {n: 2, q: 1, k: 6, t: 2, r: 3, v: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15931, 63758, 143465, 255058, 398543, 573926, 781213, 1020410?\nAnswer: 1291523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((90\/4)\/5)\/((-225)\/(-30)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/21)\/((-440)\/1232).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1319 is divided by 190?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-38)\/(-6))\/(424\/2832744).\nAnswer: 17, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5925, -5945, -5965, -5985, -6005, -6025?\nAnswer: -6045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.31089586 to 3 decimal places.\nAnswer: 3.311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -170 + 480. Find the common denominator of -81\/16 and (-17)\/(-51) + w\/(-36).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1787995294?\nAnswer: 2, 893997647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 5:45 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5*a + 0*a - 3*a)*(-1 + 5 - 3) - a + 2 - 2 - 2*a + 3*a + a)*(2 - 5 - 3)*(-3*a**2 + 0*a**2 + a**2).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 66 - 35. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2. Let h(v) = 21*v**2 - 3 + 8*v**2 - 22*v**2. Let p(y) = -4*g(y) - h(y). Solve p(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112, -604, -1480, -2740, -4384, -6412, -8824?\nAnswer: -11620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13512*a**3 + 13433*a**3 + 13381*a**3 + 13404*a**3 - 54010*a**3.\nAnswer: -280*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4195068287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*a + 5*a + 2*u + 32, 0 = -3*a + u + 25. Let c(z) = -z**2 + 20*z + 6. Is c(a) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*h - 11, -3*h + x + 351 = 344. Solve -h*q + u - 20 = 0, -6*u + u - 20 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3161516217?\nAnswer: 3, 311, 1753, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 600 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3869499 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 8*g**2 + 972*g + 35. Determine v(28).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 90 - 76 = 5*y, -5*u = 4*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of 0*n + 7\/6*n**3 + 0 - 9*n**2 + 1\/10*n**5 - 7\/24*n**4. Let r(q) = 5*q**2 - 6*q + 6. Calculate -7*r(f) + 6*s(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/500 and 9\/320?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/(-3)*(-5 - 33\/(-6)). Let v(t) = -38*t**2 - t - 26 - 47*t**2 + 134*t**2 - 48*t**u. Calculate v(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence njnn when four letters picked without replacement from {k: 1, j: 5, t: 6, n: 3}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1859165 and 17787?\nAnswer: 39042465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7.2 + -1.8. Let k = -5 + f. Let s = -104 + 833\/8. What is the second smallest value in k, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (336*r + 218*r - 16*r**2 - r**3 - 655*r)*(-2*r**2 - 4*r**2 + 4*r**2 + (-3*r + 2*r + 2*r)*(-r - r + r) + 2*r - 2*r - r**2 - 4*r**2 + 4*r**2 - 2*r**2).\nAnswer: 6*r**5 + 96*r**4 + 606*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 1569*b**3 + 1459*b**3 - 3744*b**3.\nAnswer: -716*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 + 5 = -3*p - 3*o, -3*o = -p + 2. Suppose -3*g - 26 = -2*r - p*g, 0 = r + 3*g - 3. Suppose 5*l - r - 222 = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -64  (b) -3  (c) -2\/5  (d) 0.3  (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 558*k - 4118 - 2392 = 465*k for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, l: 1, d: 1, m: 1}. What is prob of picking 1 t, 1 y, and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 6 = 0, -6*c + c = 3*z - 4. Let o(v) = -1 - 10*v**3 + 0*v**2 + v**2 + 0. What is the remainder when 19 is divided by o(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1458, 11, 2, 5 in increasing order.\nAnswer: -5, 2, 5, 11, 1458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3714, -14866, -33452, -59472?\n\"Answer: -3717*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6\/7, 1, 2225, -16475, -0.5?\nAnswer: 2225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 330758 or 330755?\nAnswer: 330755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 226 - -4. Let t = -230 + h. Let k(j) = -j**2 + 4*j + 3. Let i be k(4). Solve t = -i*z + 2*x - 21, -2*z - 22 = 3*z + x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -27  (b) 5  (c) 0.5  (d) 4.5  (e) -40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -1\/17356, 55 in decreasing order.\nAnswer: 55, 0.3, -1\/17356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -48*s**2*u**3 + 2*s**2*u**2 - 802*s**2*u + s**2 - 2*s*u**3 - 2*u**4 + 4*u**3 wrt u.\nAnswer: -288*s**2 - 12*s - 48*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -2*s + 9556, z - 19140 = -4*s - 2*z. Suppose -3*g - 9 = 0, 4*g - 39100 = -2*d - s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7 + 379c23?\nAnswer: 379c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 770?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1728836, -6915306, -15559424, -27661190, -43220604, -62237666?\n\"Answer: -1728824*s**2 + 2*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 61480922 and 3486.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5415 + -5363. Calculate the highest common factor of 182 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 233?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10668)\/(-49) + 4\/14. Let v = 317 - c. Suppose -q + v = 19. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x + 1. Let m be q(6). Let w(n) = 2*n. Let h be w(m). Suppose 2*s = -0*s + h. Solve 0 = -s*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372 = -32*f - 2750*t + 2747*t, 0 = -2*f - 5*t - 4 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r*r**(-2)*r)\/r*r*r**(-1)\/r)**(-1\/26)*((r**(-1\/3))**(-1\/14))**(-8\/5) assuming r is positive.\nAnswer: r**(1\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j**4 - 3*j**2 - 17*j**4 + 2*j**3 + 18*j**4)*(j + 3*j - 2*j).\nAnswer: 14*j**5 + 4*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 41 and -10278785.\nAnswer: -10278744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 3*g + 12 = 3*d, 0 = 4*d + g - 21. Find the second derivative of -d*r**4 + 3*r**2 - 7*r**2 - 2*r + 4*r**2 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1498347, -1494536, -1490711, -1486866, -1482995, -1479092, -1475151, -1471166?\n\"Answer: g**3 + g**2 + 3801*g - 1502150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (12\/10)\/((-417)\/140 - -3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 47066 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1942809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1 - -0.08. What is the second smallest value in -0.5, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 229188\/5 + -46935. Do -1098 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 281*n**2 - 3308*n + 115821. What is l(291)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of d**4\/4 + 4*d**3\/3 - 4*d**2 - 3*d - 2. Let t be x(-5). Let l = t + -3. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 + 10. Let o = z + 12. Let u = 135 + -132. Solve 0 = -m - f - f - o, u*f = 4*m - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u = 7*u - 4*f + 1, 5*u + 8 = 3*f. Let j be (-26 + (-1)\/u)\/(12 + -13). What is the second derivative of 13*n**3 + 16*n**3 - j*n**3 - 27*n - 7*n wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3*(-8)\/(-36) + (-16)\/42. Suppose -c + 0 - 3 = -3*r, 6 = 3*r. Factor 2\/7 - p*y**2 + 2\/7*y**c - 2\/7*y.\nAnswer: 2*(y - 1)**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 51*a + 52*a = 0, -3*m = -5*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/4 - 35*f\/2 + 825\/4.\nAnswer: (f - 55)*(f - 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 128.53 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 336*q**2 + 2*q - 2. Let s be j(1). Find the common denominator of ((-1)\/1 - 6)*-5 and 1099\/s - 1\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 391964269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 e, and 2 t when four letters picked without replacement from tlgve?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {k: 3, e: 5, u: 2, y: 6, s: 2}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (1 - 12) + 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1769665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 3*u**3\/5 + 186*u**2\/5 + 987*u\/5 - 1176\/5 = 0?\nAnswer: -56, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p - 3*p + 4*p - 3*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2879*m - 64408 + 25765 + 1397 = 80793 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -1\/22091, -2, -1\/9, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 7\/2)\/(81\/378). Let m(y) = y - 5. Determine m(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 3. Let d = x - -4. Which is the biggest value?  (a) 2  (b) -2\/17  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1331)*-1 - sqrt(1331))**2 + -3.\nAnswer: 5321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -96, -96, -84, -54, 0, 84, 204?\n\"Answer: a**3 - 7*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/1377 and -37\/17.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 197 - 5a8?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**2 - 18*m + 4. Let v be g(-10). Let x be (7 - 2)\/(v\/(-80)). Solve -4*t - x = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 4*u**2 - 3*u**2)*(-5 + 2 + 1)*(-7 - 4356*u + 4376*u + 28).\nAnswer: -120*u**3 - 126*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -126?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000051223 rounded to six dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -287 = 4*u - 87. Suppose 0 = -4*t + 524 - 84. Let m = u + t. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 8*f**2 - 9*f. Let k be p(9). Solve k = 6*v - v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 74379234 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 45, 1, -28, -3, -1.\nAnswer: -28, -3, -1, 1, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of -g**7\/1260 - g**6\/180 - g**5\/60 + g**4\/3 - 2*g. Let o(l) be the third derivative of z(l). Let o(p) = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 6*m - 9*m - 537 = 0, -i + 274 = 4*m. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 0*u + 8. Let b(l) = -4*l + 19. Let z(m) = 6*m - 29. Let i(a) = u*b(a) - 5*z(a). Let r be (1*5)\/(-5 - -6). Calculate i(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (804\/(-938))\/(5\/((-70)\/3)). Solve 2*m + 12 = 4*m + 2*j, 5*m - a*j = 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/12)\/1*(-156)\/143?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 6 + (-3 + 3 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 73 = 27. Let o = 66 + l. Let q = 71 - o. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21\/13 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = i - 5, 4*b - 4 = i - 5*i. Let c be 4\/(-8) - 19\/b. Let t be (-34)\/c + (-10)\/25. Solve -t*p = 3*r + 9, 0 = -5*p - 0*p + 5*r + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 377*d**2 + 2592*d + 13. Give u(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 60\/27 + 4\/(-18). Let o be (-84)\/(-44) + (-12)\/(-132). Solve l + 2*l = -2*a + 2, -5*l - g = -o*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100913232 a multiple of 2796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18374 = -2*s + 4*r, 11*s - 4*r = 16*s - 45837. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(350)*1 - sqrt(350)))\/sqrt(7) - (-1*sqrt(200)*1)**2.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 401*x + 479*x + 464*x + 319*x - 323*x.\nAnswer: 1340*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*c**3 - 7*c**3 + 6*c**3 + (-4*c**2 + 2*c**2 + 0*c**2)*(2 - c - 2) - 2*c**3 + c**3 + 0*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 3, 0, 8, -16, -0.23089, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/924 and 29\/1258698.\nAnswer: 27691356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5554372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 4 + 28 + -34 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1369477 by -15.\nAnswer: -1369477\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167*v + 163*v = 3*g - 33064, -5*v = -4*g + 44106. What are the prime factors of g?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2000)*-2)\/(sqrt(128)\/sqrt(8)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -214 by 107.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 4)*(-s + s - s) - 2*s + 5*s - 2*s + (36 + 20 - 11)*(2*s + 0*s - s).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5023 - 3050. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11950 and 650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1748*s + 3807 + 18123 = 445*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 23*c**3 - 5*c**2 + 4*c - 4. Is 42 a factor of x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -121538\/3 - -40514. Determine p, given that -q*p**2 + 8\/3 + 4\/3*p = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4db - -19e39?\nAnswer: 1994d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -9317650 to the nearest 100000.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 5*g + 3 = 2, 2*t = 3*g + 1. Suppose -t*y - 2*d - 3*d - 18 = 0, -2*d - 8 = 0. Calculate the remainder when (-126)\/(-3) + y + 4 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 60661836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1972632*x - 2700 + 2700.\nAnswer: 1972632*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**2 + 1090*u + 7875.\nAnswer: -5*(u - 225)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*j**3 + 40*j**3 - 261*j**3 + (3*j**2 + j**2 - 2*j**2)*(-j - 2 + 2) - 2*j**3 - 2*j**3 + j**3.\nAnswer: -239*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1889*n + 1889*n + n**2 - 4*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.11, -105, 3437, -0.4 in decreasing order.\nAnswer: 3437, 0.11, -0.4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(15) - sqrt(60))*-6)\/sqrt(3)*6*-3.\nAnswer: -108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 389302665 - -208?\nAnswer: 389302873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 140 and 174860?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 3*h**2 + 6*h + 9. Let m(x) = 4*x**3 + 11*x**2 - 25*x - 37. Let r(q) = -2*m(q) - 9*w(q). Calculate r(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10801 - 10801.1. Which is the closest to 0.29?  (a) z  (b) 6\/13  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 77*l**2 + l. Let c(t) = t**2 + 8*t - 19. Let r be c(-10). Is 13 a factor of v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*x - 240 = 76*x. Let g = 5 - 3. Does 7 divide (x\/g)\/(15\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h\/h**(-3)))\/h*h*h*h*h*h\/(h*h*h**(-1\/2)*h*h)*h*(h*h*((h\/(h*h**(1\/7)*h)*h)\/h)\/h)\/(h\/(h**(-11)*h)) assuming h is positive.\nAnswer: h**(-191\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44\/(-28) + 1)*14\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ackazaaaaakakkza. What is prob of sequence kacz?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 7) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-5 - 0 - -5) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -87017*j**3*z + j - 24*z - 1065 wrt j?\nAnswer: -522102*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -29*i**2*r**2 - 13*i**2 - 73*i*r**2 - 758 wrt r?\nAnswer: -58*i**2*r - 146*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 13*q - 12. Let v be t(14). Let o(d) = -6*d + 0 + 6*d**v - 5 + d**2. Does 27 divide o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36155764 divided by 1.\nAnswer: -36155764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -13*s**2 - 10*s - 3. Let k(w) = -5*w**2 - 4*w - 1. Let m(n) = 3*f(n) - 8*k(n). Let y(d) = 10 + 2*d - 6 - 3 - d**2 - 3*d. Give m(u) + 2*y(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4433 = 13*p + 299. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + -2 + -2 + 18 - 2. Suppose -c + y = c. Find the third derivative of -3*k**6 - 4*k**6 + 11*k**6 - c*k**2 + 7*k**6 wrt k.\nAnswer: 1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + 4*y**2 + 4*y + 7. Let s be q(5). Let l be (-8)\/21 + (-12)\/(-18). What is the third smallest value in 0.2, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 936 a factor of 37215360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2350, 2625, 3084, 3727, 4554, 5565, 6760?\nAnswer: 8139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1533514193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -56606.37 to the nearest one hundred.\nAnswer: -56600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 5, 12\/5, -10?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -39*l + 6*l + 120 - 23 + 38. Is 86 a factor of j(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 + 0 + 0 + (2 - 1 - 3)*(2 - 2*f**2 - 2) + f**2 + f**2 + 0*f**2 - 8*f**2 + 0*f**2 - 9*f**2)*(3*f - 3*f + 2*f).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x + 27. Let i be u(-9). Suppose s - 5*n - 191 = -0*s, -4*s - 2*n + 654 = i. List the prime factors of s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + (15 - -1))\/((-504)\/(-216) - 3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*q**2 + 4*q**2 - 32*q**2)*(-3*q**2 + 2*q**2 + 2*q**2).\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 671.8*0.003\nAnswer: 2.0154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 5:49 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - (-2568)\/(-1095))*(25 + (-1265)\/46). Is 2 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -685*d**2*p**3 - 2*d**2 + 30*d - 80*p**2 + 19 wrt p.\nAnswer: -2055*d**2*p**2 - 160*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 31260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5824880 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g + 2*g - 2*g)*(0*g**2 + 4*g**2 - 6*g**2) + 127596*g**2 - 186*g**3 - 127596*g**2.\nAnswer: -190*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*w + 3 + 22*w - 11*w)*(1 - 3*w**3 - 1).\nAnswer: 6*w**4 - 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4646 and 35084269?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**2\/2 - 3569*q - 106845\/2 = 0.\nAnswer: -7123, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*k + 0*k + 47 = -65 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/35 and (9\/(-15))\/((-112)\/32).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -157 + 156.394. Let r = p + 0.6. Round r to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 3:54 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 + -11. Suppose l*d - 17 = -0*d - s, s = d + 2. Solve -d*m + 3 + 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(228) + sqrt(228)*2)*6 + sqrt(228) + sqrt(228))\/((sqrt(96)*2)\/sqrt(8)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -2*b - 2 - 0, -2*a - 4*b = -16. Let g be 2*a - (-5 - -6). Sort -2, -5, g in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 438 by -2.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 19*h + 21. Let n be l(-18). Suppose -4*t - 4*g - 20 = 0, 5*t + 0*g = n*g - 9. Let r(p) = 2*p**2 - 6*p + 4. Is r(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 22 - 1 - (-29 - -13 - -130)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118836 is divided by 6601.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13544 is divided by 6759.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9614 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, f: 1, k: 1, h: 2}. Give prob of picking 1 f and 1 h.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d**2 - 5*d + 3. Suppose 5*g = -3*c + 7, -4*c = -g - 5*c + 1. Let t be m(g). Solve 4*q + 0 + t = 3*j, 5*j = -2*q + 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3562 bigger than 3562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/3165359 and 34\/74261.\nAnswer: 5466574993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 2*y - 58 = 2*h, -4*h = y + 8. What is the remainder when 16 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, f: 7}. Give prob of picking 3 x.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 1 - 3 = 0. Let a(n) = -n**3 + 4*n**2 - 3*n + 3. What is a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 8.3. Which is the biggest value?  (a) 0  (b) 0.2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 0*t**4 + 3\/2*t**3 + 1\/5*t**5 - 3*t + 0 + 0*t**2. What is the second derivative of a(n) wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 44, -0.346, 2\/11, 5\/3?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 15 = -5*s, -59*s + 3*g = -64*s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 59*n + 37. Let m be z(-12). Let y = m - -677. Let l(k) = k**2 - 9*k + 1. Calculate l(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/5  (b) 17  (c) 2\/19  (d) 1  (e) 4  (f) 0.3  (g) 22\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 167329571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3167?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h**4\/9 - 9194*h**3\/9 - 38578*h**2\/9 + 403130*h\/9 + 11450 = 0. What is h?\nAnswer: -1145, -9, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*m - 5328 = 205*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*b**5 - 1080*b**4 - 60445*b**3\/2 - 115015*b**2\/2 - 70755*b\/2 - 14045\/2 = 0. What is b?\nAnswer: -53, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1656683\/60 - 27612. Let m = c + 7\/10. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**3 - 2*u**3 + 0*u**3)*(0*u + 2*u + 4*u) + 0*u**4 + u**4 + 2*u**4 + (-u**2 + 2*u**2 + 0*u**2)*(0*u**2 - 2*u**2 + 4*u**2) - 3*u**4 + u**4 - 6*u**4.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*x + 17*x - 6*x - x + 3*x + 0*x - 3*x + 2*x + 0*x + (-3*x + 5*x - x)*(0 + 0 + 2) + 8*x - 7*x - 10*x + 4*x - x - x in the form y + v*x and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 18*s - 9. Give a(15).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k + 4. Let z be w(4). Suppose -2*h + 687 - 59 = z. Suppose 0 = -g - g + h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l**3 + 12. Let a be b(0). Let j = -399 - -756. Suppose -a*v + j = 129. What is the highest common divisor of v and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 5*z + 3. Let h be y(3). Suppose -4*a + h = -15. Let b = 41 - a. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 10:50 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of f**5\/180 + 9*f**4\/4 + 729*f**3\/2 + 407*f**2. Find o, given that g(o) = 0.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4003597865 to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -487 - 74. Let o = x - -1032. List the prime factors of o.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -112885, -451534, -1015945, -1806118, -2822053?\n\"Answer: -112881*b**2 - 6*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, 723, 1, -1, 219, -3 in decreasing order.\nAnswer: 723, 219, 4, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of 3*w**5\/5 + 11*w**4\/4 + 2*w**2 - 9*w - 9. Find the second derivative of l(z) wrt z.\nAnswer: 36*z**2 + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 14*g**5 + 444*g**4 + 698*g**3 - 23652*g**2 - 69616*g - 45696 = 0?\nAnswer: -28, -8, -2, -1, 51\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 952865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aeslltsezaaaa.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1191 - 4.4809. What is the biggest value in x, 3, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {o: 1, h: 2, f: 2, p: 1, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 3*r - 843, p = -3*r + 3*p + 823. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -369\/8 or 81701?\nAnswer: -369\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p + 301 = 245 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 162?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -3*s + 290 + 342, 0 = -2*s - b + 419. Calculate the remainder when 425 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddgggddgg. Give prob of picking 1 g and 1 d.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 99*z - 10*z**2 + 93*z - 190*z to c*z**2 + m*z + y and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 132 = -35*d + 22*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 392410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3268, -14142, -32628, -58726, -92436?\n\"Answer: -3806*h**2 + 544*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -142 (base 9) to base 2.\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g + 102*g = -81*g + 3287. What is the remainder when 940 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/2))**(-1\/23)*g**(1\/4)\/g**(-5))\/(g**(-2\/31)*g\/(g**13\/g))**30 assuming g is positive.\nAnswer: g**(961715\/2852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-14)\/(-42)*(-1 - 2). Let r be -2 + (1 - (-6)\/3). Sort -3, -2, b, r in decreasing order.\nAnswer: r, b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2*1)\/(-27*(-18)\/3159)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 174305 divided by -5\nAnswer: -34861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -1 - 2) + 10 + -20\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3742944 to the power of 1\/2, to the nearest integer?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2105357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hhhhyyhyhhhyhyhhyhh.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16786375\/57 - 294498. Calculate the common denominator of n and 6\/(-21) + (-139)\/126.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 13\/(-26)*(1 + 0\/3 + -3). Is c greater than 60\/439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -2*y + 14, -10*y + 11*y - 4 = -d. Suppose -i + 191 = 4*b, -y*b = 2*i - i - 238. Calculate the remainder when b is divided by (-1 - 5)*(-3 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*y = 23*y - n - 423, y = -0*y - 4*n + 23 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 175294317*l**3 - 221613203*l**2 wrt l?\nAnswer: 1051765902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 336526225801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 15209388.\nAnswer: 1\/5069796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -2*p + 24, 5*p + 3*d + d = 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1326*w**4 + 233373*w**3\/2 + 324738*w**2 - 2254935*w\/2 + 1275 = 0.\nAnswer: -85, -5, 1\/884, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 53010 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 76 + -66. What is the tens digit of (1\/5)\/(-1) + 1112\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4415306977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*x + 40, 2*x = -6*d + 4*d - 80. Suppose -3*q - 5*h = 142, 4*q + h + h = -166. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 384450553.\nAnswer: 47, 809, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002530617 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.56 + 5.58. What is the nearest to 0 in -2\/7, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1036 and 44356858?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 22*v**2 - 58*v - 1024. What is the hundreds digit of r(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -62 + 20*x**2 - 127 - 19*x**2 + 121. Let w(l) = 7*l**2. What is w(v(i))?\nAnswer: 7*i**4 - 952*i**2 + 32368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30194 + 79980. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 885, 886, 887, 888, 889?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3994733?\nAnswer: 3994733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h + 1, 0*h = -2*c + 2*h - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 6 = 1. Suppose -2*s + 18 = -2*r, 4*r = -r - v*s - 15. Let f = r + 10. Solve j - 13 = 5*d, 8 = -3*d + 2*j - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*t - 0. Suppose -3*u - u = -2*n + 2, -5*u - t*n = -14. What is the smallest value in u, -11, -2\/15?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 240 and 830550?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -36 - -34. Is (g + 0 + -69)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2*x**3 - 1285*x - 14*x**2 - 2*x**4 + x**4 + 1283*x as l + q*x**3 + p*x**2 + b*x**4 + t*x and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13213695 is divided by 64773.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 4*x**2 - x + 2. Let u = -63 - -64. Let q(o) = -o**3 + o**2 + o. Calculate u*q(k) + p(k).\nAnswer: -2*k**3 - 3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + -19. What is the tens digit of x\/(145\/80 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 4*x + 798, -3*v + 15*x + 2394 = 10*x. Calculate the remainder when 2396 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54 (base 15) to base 12.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -12 + 9*q - 6 + 34. What is the units digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 19\/4, -4\/5, -0.1, 2, 4, 6\/11 in increasing order.\nAnswer: -4\/5, -0.1, 6\/11, 2, 4, 19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppubfrcrcufr. Give prob of sequence cpfu.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/22217  (b) -1\/6  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2186*t + 6493*t + 9024*t + 412800 = -3869*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5619717 and 18?\nAnswer: 11239434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 31118013255 and 2.4582?\nAnswer: 31118013252.5418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o**3 - 127*o**2 - 75*o - 808. What is t(-63)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1754 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/3 + 240\/18. Suppose 13*l - b*l = -72. Suppose l = -k + 4*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 3479*n + 45206. Give l(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, q: 2, c: 2, t: 2, r: 1}. Give prob of sequence tr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 172908349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 3455922.381 to the nearest 1000.\nAnswer: 3456000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 76.003 - 30.997. Let r = -0.006 + t. Which is greater: -2\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000111019 rounded to seven dps?\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (18 + -21)\/((-45)\/6). Let q be (-438)\/72 + (-2)\/(-8). Let b = q + 86\/15. Is i not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 8*k**2 - 569*k + 1047. Give h(75).\nAnswer: 3372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 + 7*f**2 - 299*f + 618. Give h(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22)\/(3168\/12)*(-16)\/14.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 35, 35, 15, -31?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - (50\/(-2) + -2). Suppose -5*g - 7 + l = 0. Is ((-10)\/(-6))\/(g\/12) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 PM and 4:56 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 17154770.\nAnswer: -8577385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 20 = 0, 331 = -2*g + 7*i + 370 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6440203 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/14992110 and -97\/8162.\nAnswer: 164913210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 9, v: 5, j: 3, w: 3}. What is prob of picking 1 j and 1 w?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -48863 (base 11) to base 2\nAnswer: -10001001001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 678*g + 110. Let a(w) = -677*w - 131. Calculate -6*a(h) - 7*t(h).\nAnswer: -684*h + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23103131 - -113?\nAnswer: 23103310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 AM and 5:31 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138684 is divided by 34662.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxmmmmmgx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 174 and 7524?\nAnswer: 218196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.435?  (a) -0.2  (b) -0.6  (c) -0.5  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11063.\nAnswer: 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 - 16 = d. Let z = d + -22. Calculate the remainder when 65 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 219*i*z**2 - 2*i - z**2 + 771*z wrt i.\nAnswer: 219*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -123 + 139. Solve 5*r = r + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 242365 (base 7) to base 3\nAnswer: 2020111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 8405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of -11*k**4\/24 + k**3\/6 - 4*k**2. Let s be g(-1). What is the tens digit of s - ((-4)\/1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 644399 and -0.5?\nAnswer: -322199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 239\/195 + -1\/39. Let x = 2719\/4 + -680. Which is the closest to x?  (a) -0.3  (b) -1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}