diff --git "a/data/dm_maths/full_data_1/1606_11255.jsonl" "b/data/dm_maths/full_data_1/1606_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1606_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((-3 + sqrt(192))*6 - -3*(3 + sqrt(192)))*1.\nAnswer: -9 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 14 - -169) + -10 - (8 + 1 + 2)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216053 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -24117883?\nAnswer: 24117887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.1 - -17. Which is the third smallest value? (a) 2 (b) -4\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -10 - -7)*2\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 4:01 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:36 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/9 + 1804\/3168.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 42\/570739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = 5*s + 8, -4*s = 3*c - 1. Let p = 1551 + -1557. What is the third biggest value in p, c, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - i - 2*i = -177, v = -2*i - 92. Let l be (-2 - -1)*470\/(-5). Let y = v + l. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -13. Let s(y) = -2*y - 10. Let n be s(u). Let c = n - 6. Which is bigger: c or -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 1. Suppose 0 = 4*g - 1 - 3. Suppose 1271 = 561*y - 1392 + 980. Let f(c) = 3. Determine g*f(a) + y*m(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 + -2 - -11 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 0.02, 2\/3, 0.2, 341?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 9*k**2 + 13*k + 5. Let c be i(-10). Let p = -169 + c. Let r = p + 313. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 105992*j + 212000.\nAnswer: -4*(j - 2)*(j + 26500)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -59, -50, -41?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 219*i + 1502. Give n(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2 - 1 + o**2 - 3*o**3 - 3*o + 5*o. Let a be b(-1). Suppose -4*q + a*x = 5*x - 12, -4*x = -5*q + 41. Solve k + 4*k = q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129865, -259711, -389553, -519391?\nAnswer: -649225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 527580 and 1477224.\nAnswer: 7386120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/3)\/(-4))\/((-2)\/1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/3 + (-9)\/27. Let d be (-2 - 1)*40\/a. Calculate the highest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507483244 to the power of 1\/3, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -61. Suppose 4*l + 4*c = 180, l - q*c = -9*c + 47. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47053 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7729875?\nAnswer: 3, 5, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*t - 60 = -0*y, -5*t = -y + 62. Let h be ((-4)\/(-10))\/((-12)\/(-1140)). Calculate the greatest common divisor of y and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833)*6*-2)**2.\nAnswer: 479808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70112 divided by 28?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1399\/578175 or 1?\nAnswer: -1399\/578175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4611.424 kilometers in meters?\nAnswer: 4611424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48793324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 2*k + 2. Let q(l) = 2*l**2 - 3*l - 2. Let c(v) = 3*a(v) + 2*q(v). Calculate c(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 + 6*p + 6. Let i be z(7). Sort i, 1, -0.3, 2 in decreasing order.\nAnswer: 2, 1, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*m = 3*d + 41, -4*d - 3*m = -164. Suppose 4*r - 242 = -2*q, -q - d - 279 = -5*r. Suppose 3*v + 0*v = r. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-18)\/(-720)*10*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 4*d**3 + 14*d**3)*(-d - 4*d + 3*d) + 3*d**4 + 2*d**4 - 2*d**4.\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 2. Let g(u) = -11*u + 14. Let c(z) = -28*f(z) - 4*g(z). Let d(x) = -10*x**2 - 6. What is c(d(s))?\nAnswer: 120*s**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30 - 24)*(-2)\/(-4). Solve -d*l = 4*a - 23, -5*l = -4*a + 8 + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 1355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49050 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3932*m**2 + 5*m - 7922*m**2 + 13*m + 3*m**3 + 3990*m**2.\nAnswer: 3*m**3 + 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-2)\/4*84\/(-126)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16333, 15435, 13945, 11869, 9213?\nAnswer: 5983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1111.2 - -1111. Let v = -0.14 + 0.07. Let d = 4.93 - v. Sort d, 0.6, g in decreasing order.\nAnswer: d, 0.6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3753592?\nAnswer: 2, 83, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 + 13*w**2 + 2*w**2 + 10*w**2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 237 - 324?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 15, j: 2}. What is prob of picking 3 r?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -232*k + 98 + 289. Let m = -1.6 - 0.4. What is the biggest value in -0.1, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p. Let m(l) = -2 + p*l - l - 4*l - l**2. Let g be 2 + -1*(4 + 1). Calculate m(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 4, s: 2}. Give prob of sequence fs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -1922*u**5 - 69316*u**4 - 465746*u**3 - 890888*u**2 - 56032*u - 896 = 0.\nAnswer: -28, -4, -1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/54)\/2 - (-80)\/(-126))\/(-2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -652, -661, -676, -697, -724, -757?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 6*y**2 - 2*y - 8. Let g be l(6). Let a = g - -36. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451895 + -0.473?\nAnswer: -451895.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*z**2 + 5*z + 7 + 3*z**3 - 3*z + 22*z**2 to the form o + d*z**3 + q*z**2 + v*z and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 1158 in ascending order.\nAnswer: -5, 4, 1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*n = -2 + 6, 3*n = -4*y + 69. What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6*j + 3*j = -6, 2*n - 3*j - 9 = 0. Solve n*l - 10 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4446525, -4446524, -4446527, -4446534, -4446545, -4446560?\n\"Answer: -2*q**2 + 7*q - 4446530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2994752 by -1282.\nAnswer: -2336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 7 + 1. Let b be 3 + 0 - 1 - -30. Calculate the highest common factor of m and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -221323313?\nAnswer: -221323301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 - 1) + 0)*-2. Let d be 0\/(-1)*(-2)\/p. Let k = 0.076 - -2.924. What is the closest to -2 in k, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -7*w + 42. Let c = w - 23. What is the units digit of (-16)\/c + 6\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, -0.04, 0.8559?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 4*o + 585. Suppose 3*p - x = 107, 27 - o = -2*p - 4*x. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from vppffkppppkff.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -3534, -7832, -13822?\nAnswer: -21504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 6:20 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 78. Suppose -r*u + 0*u = -56. Calculate the smallest common multiple of u and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209*(11 - 6) + -5 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z + 70*z + 36 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 21. Let n = q + 73. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 923174 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(37485\/3332)*2\/4\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x - 2. What is n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 + 45212*r**4 - 127959928*r**3 + 1135661384*r**2 + 34771447676*r + 143753849372 = 0 for r.\nAnswer: -7, 23, 5647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j. Let f(d) = -d**2 - 3*d + 4. Let w be f(-5). Let y(r) = 3 + 1653*r + 1653*r - 3311*r - 1 - 3. Determine w*v(c) - 7*y(c).\nAnswer: -c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -1\/78*h**4 + 0 + 57*h + 0*h**3 + 0*h**2. Factor l(o).\nAnswer: -2*o**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-4)\/(-1)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1854028235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 488 - 488.3. What is the closest to 0.2 in -4\/5, g, 5, -20?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 3208176?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39856432 a multiple of 3806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxlllllllxxxlllll. What is prob of sequence ll?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1542051 bigger than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h + 1\/12*h**4 + 1\/15*h**5 - 23 + 0*h**3 + 0*h**2. Let n(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 77.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c - c + (0 + 3 - 4)*(10*c + 6*c - 3*c) - c + 2*c + c in the form v + g*c and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 3*n + 420. Determine u(23).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 (base 15) in base 5?\nAnswer: 11143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Let h = 192 + -187. Solve h*w = 4*w + b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22701 and 63244503.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from vtfqdqtfvfjdjjvjtt?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 8*z - 3*z + 2*k, 8 = -4*k. Solve 27 = -5*o + 5*a - a, -4*a = 3*o - z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g**2 - 15 + 0*g + 2\/39*g**3 + 1\/26*g**4. Factor i(j).\nAnswer: 2*j**2*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttts when four letters picked without replacement from sttiitiitttst?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 3 = -57. Let j be 42\/189 - (-286)\/u. Let h be (-2462500)\/(3 + (-92)\/j). What is h rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 - 182824*a**2\/3 - 1392570400*a + 5571256704.\nAnswer: -2*(a - 4)*(a + 45708)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/40)\/(q**(-6\/11)\/q*q) assuming q is positive.\nAnswer: q**(229\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 - 148*o**3 + 1572*o**2 - 3596*o - 5320 = 0 for o.\nAnswer: -1, 5, 14, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.96453 years in centuries?\nAnswer: 0.0896453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -230*k**3 - 5*k**2 + 2*k + 7. Is p(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 108458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/4)\/f*f)**(-3\/8) assuming f is positive.\nAnswer: f**(9\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - (-52946)\/1932*-2.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s - 25 = 0. Suppose s*o - 16 = o. Suppose -2*k + 26 = -4*i, 0*k + 40 = o*k - 5*i. Solve 0 = 3*l + k*v - 9, 9*v - 15 = 4*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 14*m**2 - 13*m + 7. Determine l(-14).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**4 - 7*x**4 + x**4 + 7*x + 0*x**4 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5134 or 5133?\nAnswer: 5134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/16)\/((-9)\/(-294)). Let i = q - 647\/16. Let z = 1\/15062 - 504585\/120496. Find the common denominator of i and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -8*a - 22 - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 11 - 10) + 29 - (5 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - m + 15 + 39, 0 = -4*m - 8. Let j be (-54)\/z + (-2)\/(-14). Suppose 0 = 2*t - 4*w + 12, -t = -5*t + w + j. Solve 0 = -t*b - 2 + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v. Let t be 66 + -68 + -1 + (-1 - -6). Let c(h) be the second derivative of -9*h + 0*h**t + 0 - 1\/6*h**3. What is c(q(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.2, -0.9, 13\/3, 0, -1\/12, 0.07, 72?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -85430648.4 to the nearest 100000.\nAnswer: -85400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -383, -5, -4 in increasing order.\nAnswer: -383, -5, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*y**4 + 55*y**4 - 9*y**5 + (y**2 - 2*y**2 + 2*y**2)*(y**3 + 0*y**3 - 3*y**3) + 107 - 107 + y**5 + 2*y**2.\nAnswer: -10*y**5 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2690936604 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 203?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24 = 5*o, -9 + 0 = 3*o. Let a(p) be the second derivative of 1\/21*p**d + 2*p + 1\/42*p**4 + 0*p**2 + 0. Factor a(w).\nAnswer: 2*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 - 2. Suppose o + 7 = -4*v, 0*v - 2*v = -3*o + 7. Calculate f(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 11*o - 1034 = 0. Suppose 11*v - o = 16. Solve a = -a + v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = b + 2*b - 12, 2*y - 10 = -2*b. What is the smallest common multiple of 28 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50024 and 18944.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18815124 by -1788.\nAnswer: 10523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 + 40 = -99*i - 234 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 1:31 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 41. Is q - (-86 - (-2 - -6)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/4959 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**7\/840 + c**6\/360 + c**5\/120 + c**4\/8 + 61*c**3\/2 + 341*c**2. Let u(l) be the first derivative of h(l). Calculate u(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 19 = 5*j, 4 + 0 = 4*j - 4*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 339301667*u - 215914013 wrt u?\nAnswer: 339301667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 3, z: 2, v: 6, i: 4, p: 2}. Give prob of picking 2 p, 1 i, and 1 z.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 1:06 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (7 + 6 + -8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 3, f: 15}. Give prob of picking 2 y.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 3*t - 3. Let v be d(3). Suppose -5*k = 5, v*m - 21 = 2*m + 5*k. Suppose -m*z + 1 = -19. Solve 0 = 3*b + z*a - 8 - 4, 2*a = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 539*w**2 - 1 + 18 - 14.\nAnswer: -539*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*g - 3*x, 0*x - 35 = -5*g - x. Calculate the highest common factor of g and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*d = -26, 5*t + 253*d - 131*d - 126*d - 44 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u. Suppose -3*g + 7 + 8 = u. Let y be 0*(4\/(-8) + 0). Solve -4*v - g + 17 = y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 339 + 207. Suppose -10*t + 48 = -m. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.00261 + -1.99739. What is the nearest to -49 in -2\/9, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -277\/49 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 310240001444?\nAnswer: 310240002003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12.32 * -4\nAnswer: -49.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.7. Let f be (-40)\/7 + 3 - -3. Sort z, f, 4\/7 in decreasing order.\nAnswer: 4\/7, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -9, 16*u + 2*y + 1424 = 18*u. Calculate the remainder when u is divided by 110.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let p(h) = -122*h**2 + 29*h**2 - 4 + 29*h**2 - 13*h + 31*h**2 + 38*h**2. Determine m(p(q)).\nAnswer: -10*q**2 + 26*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.25 and -2.98655.\nAnswer: -0.73655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0*a**3 + 1\/10*a**6 + 0 + 0*a**4 + 5*a + 1\/2*a**2 + 0*a**5. Differentiate i(u) with respect to u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - sqrt(110)*-1))*-4)\/(sqrt(110)\/(sqrt(33)\/sqrt(3))) - (0 + -5*(sqrt(176) + (sqrt(176)*1)**2)).\nAnswer: 24*sqrt(11) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -328f (base 16) to base 13\nAnswer: -5b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/16 + (-825)\/40. Let r = m + 20. Sort 4, r, -2 in decreasing order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1859 + 1340*i**2 - 1859)*(0 + 3 - 4) in the form j + t*i + w*i**2 and give w.\nAnswer: -1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1079 and 42526003?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 3:58 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118743, -237504, -356265, -475026?\nAnswer: -593787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16233.\nAnswer: 3, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) 5\/2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -57*o + 8. Let g be x(-4). Find the common denominator of 89\/4 and (g\/(-28))\/1 + 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41552 + -534?\nAnswer: 41014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/12, 355\/12, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from nqnqqnqnnnn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Suppose -15 = -4*v - 5*f, 2*v - 5*f + 6*f = 3. Let i = -1.2 - -0.2. Which is the nearest to l? (a) v (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 44. Let n = -9.00000081 + g. Round n to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12748512 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 14. Suppose c = -2*n + 8. Let k be (-6)\/1*3\/6 - -8. Solve -f = -2*o + k*o - 12, n*f - 16 = -4*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**2. Let u be -3 + 18\/6 + 3013. Let m(j) = 2*j**2 + u - 3013. Calculate m(w(q)).\nAnswer: 242*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7649863 to the nearest integer?\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 29785 - 24273. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 d when four letters picked without replacement from {g: 3, q: 1, d: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Suppose s + 5100006 = -0*s + 2*m, -15300006 = g*s - 2*m. Round s to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 + 5*t + 9. Does 5 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.4109 millennia in decades?\nAnswer: 77141.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*t - 3*t + 6, 5*p - 4*t = 2. Let l be 2\/4 - 200\/16. Let m be 0 - l\/(-4) - (-352006)\/p. What is m rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -1400, -3071, -5410, -8417, -12092, -16435?\nAnswer: -21446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*o + 490*o - 10*n - 88 = 0, 29*o - 5*n = 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 - 0.1. Let a = x - -2. Let j = 0.3 - 0.2. Is j less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41480?\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**2 - 16*x**2 - 56*x**2 in the form f*x + h*x**2 + q and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 2 + 3*s + 0*s + 0*s. Let o be k(8). Let d = o - -8. Put -5, -1, d in decreasing order.\nAnswer: -1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6149803.5 minutes in days?\nAnswer: 4270.696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(54)\/sqrt(3) + 4*(sqrt(6)\/sqrt(3))**2 + 4 + ((sqrt(242) - -3*sqrt(242)*-2)*5)**2.\nAnswer: 3*sqrt(2) + 151259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -3 - 3\/2*g**2 + 1\/2*g**3 + 3\/2*g. Factor h(q).\nAnswer: 3*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 26. Let d(q) = 40*q - 20*q - 19*q - i. What is the units digit of d(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7480*h**2 - h**3 - 7480*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w*w**(-3\/10))\/w)*w*w\/w**(1\/2))**2 assuming w is positive.\nAnswer: w**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4 + 30*q**3 + 8*q**2 + 29*q - 313?\nAnswer: -36*q**2 + 180*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 6*r**2 + 5. Let j be d(6). Suppose t + 4*s = -17, -t + j*s + 15 = -4. Let g be (-14)\/24 - t\/4. Is g equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, r: 2}. Give prob of sequence rr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*l*w - 3335*l - 5*w wrt w?\nAnswer: 19*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6277 a factor of 410553462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + q + 3*q)*(-2 - 2 + 5) + 1 - 1 + q + 0*q + 3*q - 5*q + (-q + 0*q + 0*q)*(0 - 1 + 4) + 4*q - 2*q + 4*q to the form x + p*q and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 12 - 1 - 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8665 or -8666?\nAnswer: -8666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:28 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.48 - 0.5. Let p = n + 0.22. Let v = -0.1 + p. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5, 0.0578?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:42 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 5*f + 5*f**3 - 1 + 4 - 3*f**2. Calculate the remainder when v(4) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-30) + (-10)\/(-50)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1349112*t + 1349096. What is x(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) + 20\/(-15) + 2. Suppose -x - x - 613 = -i, p = -2*x. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -3\/7, 0.073, 0.3, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416661*i - 416661*i - 15*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (34 - -8) - 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -10, 701, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 31*v = -133 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20482461 to the nearest integer?\nAnswer: 4526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n + 4*n + 28*n + (0 - 2 + 0)*(4*n - n - 2*n))*(-1 - 2 + 1).\nAnswer: -88*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 2\/5 (c) 1\/25 (d) 2923\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70.0222 - 70. Let b = -0.02220251 + y. Round b to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320301841853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -2877?\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-627)\/30 + 15\/(-25). Let z = 22 + f. Is z not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11711*l**6 - l**2 - 8333 wrt l.\nAnswer: -1405320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 10. Suppose -1 - 7 = -g*d. Find the first derivative of 3*i**d - 4*i - 9 - 3*i + 7*i wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4052.357 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 143*i**3 - 2*i**2 + 6. Let k(z) = -1002*z**3 + 15*z**2 - 45. What is -30*g(o) - 4*k(o)?\nAnswer: -282*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 7*l**2 - 9*l + 6. List the prime factors of m(4).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21089742 to the nearest integer?\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 289572 - 199649. What is b rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 0\/2) + 2808116\/139334.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.158826ml?\nAnswer: 0.009158826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/480 and (-42553)\/(-5376) + -14 + (-1 - -7).\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/202909?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 56*c**2 - 65*c + 48. Let p be m(29). Let d = -415 - -734. Let y = d + p. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -1119984.\nAnswer: 1119983.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218 + 0.35973?\nAnswer: 0.14173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5. Let q = -1116 - -1117. Let b(g) = g + 1. What is q*y(m) + 5*b(m)?\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56749 (base 11) to base 5.\nAnswer: -10111331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*x - 337 - 27. Let d(p) be the second derivative of 5*p**4\/4 + 7*p**3\/6 - 13*p**2\/2 - p. Is d(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40260 by 4026.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 13 = -23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0 (base 13) in base 7?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, 1\/33887, -6\/7, 0.2, 2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -894 - -8054\/9. Suppose -8\/9*r**2 - 2\/9*r**4 - t*r**3 + 0 + 0*r = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = g - 1, 4*s - 4*g - 5 = -9*g. Let w be s + 2 + (-12)\/5. Let m = 0.46 - -0.04. Which is the third smallest value? (a) 4 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2*(2 - 3)). Suppose q = -t*q + 31. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(300) + sqrt(300)) + (sqrt(300) - (sqrt(300) - (sqrt(300) - (2 + sqrt(300)))*2)))**2.\nAnswer: 640*sqrt(3) + 19216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 9, 3, -3, -9, -15?\n\"Answer: -6*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 570747665?\nAnswer: 570747665.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -595 (base 11) to base 9\nAnswer: -867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 3*q**3 + 7*q**2\/2 + 14*q - 43. Does 26 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 780*x - 29. Let b be a(-13). Let s = b + 16150. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1274 and -19310805110?\nAnswer: 19310806384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (86 - 75) + (-6 - 2 - -17)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78502*u**3 - 157804*u**3 + 79329*u**3.\nAnswer: 27*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/5544)\/((-1)\/4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 1, c: 3, z: 3, t: 2}. Give prob of sequence zz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 18*y + 4. Let s be l(-1). Let x(g) = -g - 10. Let t be x(s). Suppose 0 = t*u - 16, -5*i = -3*u + 46 - 209. Solve -5*h = -10 + i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2171 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 2. Let l be (-48)\/14 - 51\/(-119). What is x(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 4. Let n = -56 + 60.6. Let z = n - o. Put z, -0.5, 2\/19 in increasing order.\nAnswer: -0.5, z, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 69. Let w be (18\/j)\/((-10)\/25). Factor 4*d - 15*d**2 - 15*d**w - 7*d + d - 5*d**4 - 3*d.\nAnswer: -5*d*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1939127 and 776?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*t**2 + 1)*(-2*t + 0*t - 2*t) + 0*t - 2*t**3 + 0*t - 2*t**3 + 2*t**3 + t**3 - 7 + 3 + 1 + t**3.\nAnswer: -8*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5350*c*n*x + c*n + 45*c*x + 4*c + 10*x - 5 wrt n.\nAnswer: -5350*c*x + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 479513 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 6, -10, -6, 9\/14, 0.6?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from wqxnq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121142 and 200124?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-4\/9))\/z)\/(z\/(z**(3\/7)*z)))**(3\/40)\/(z*z**(-6\/5)\/z*((z**(1\/5)\/z)\/z*z)\/z)**(2\/51) assuming z is positive.\nAnswer: z**(1663\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 130. Determine q(42).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 54*a - 2*a**2 + 14 - 29 - 22 - 6*a**2. Let c be z(-10). Factor 1\/6*p**2 + 1\/6*p**5 + 0 - 1\/6*p**c + 0*p - 1\/6*p**4.\nAnswer: p**2*(p - 1)**2*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/130743 + -5534759\/3660804. What is the common denominator of p and 1218\/630*(-72)\/192?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 + -4.1. Which is the third biggest value? (a) -4 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-4)\/(-2) - (-88)\/22. Suppose 2*y + o = 93, m*o + 57 = -5*y + 297. What is the least common multiple of y and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1 + sqrt(300) + 5 + sqrt(300) - (sqrt(108) + 0 + sqrt(108))*4)**2.\nAnswer: -216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 54331 = -16716. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 2*a**4 + a**2 + (-a - 1 + 1)*(a - a - a**3) + 2*a**4 + 0*a**4 + 0*a**4 + (-12*a + 23*a + 28*a)*(7*a**3 - 5*a**3 + 8*a**3).\nAnswer: 395*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 20021 + 84046 = 5*l, 0 = -5*l - 5*q + 104060. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9401182 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/903 and -139\/54.\nAnswer: 16254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9804 - 4238 + 3272 = 284*g + 8542 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 - 13*h**3 + 6*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 73 = -4*b + 2*h, 3*b - 77 = -5*h. Suppose -30*k + 4*d = -b*k - 9075, 0 = -4*k - d + 36334. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*((sqrt(1700) - (sqrt(1700)*4 + sqrt(1700) + sqrt(1700))*-5)*1)**2.\nAnswer: -8168502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -2 + 195 + -195.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -2, -5573, -3 in increasing order.\nAnswer: -5573, -3, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3799\/393 + (-5080)\/528\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*y + 35*y - 1562. What is the highest common factor of y and 7766?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 + 0*a**5 + 4*a**5 + (-9 + 9 + 2*a**4)*(-a + 0*a - 2*a) - 2*a**5 + 4*a**5 - 3*a**5.\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 52. Suppose x + 2*y = 5*x - b, x - 29 = 5*y. Let d(z) = -3*z - 15. Let t be d(-6). Solve x = -2*f - 4*n, -f = -0*n + 3*n + t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -a4bde?\nAnswer: a4be4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 136?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 2) + 56\/(0 + -4). Let f be (-3)\/(((-2)\/3)\/(n\/(-9))). Let r = -4 + 10. What is the highest common divisor of f and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n - 5. Let x = 7 + -11. Let d be k(x). Let b be ((-10)\/d)\/(1\/(-5)). Sort -1, 2, b in ascending order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*n**3*o**2 + 2*n**3 + 11*n*o wrt o?\nAnswer: -476*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 33, -0.5, 3 in decreasing order.\nAnswer: 33, 3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27317821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 4:09 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 56298*m**2 - 619167*m + 562870.\nAnswer: -(m - 56287)*(m - 10)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42410 + 42416. Suppose 0 = -c + 4*t + 10, 0 = 5*c - 6*t + 4*t - 14. Calculate the highest common divisor of d and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(85)\/(sqrt(5)*2))**2*1.\nAnswer: -85\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 1\/3*b**3 + 4*b + 0 + 0*b**2. Let m(n) = 1 + 2*n - 1. Calculate o(m(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67218 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - s = 123 - 120, -1 = x + 3*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6086207 and 1553.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 125\/4 - 65\/2*w + 5\/4*w**2 = 0. Calculate w.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 12. Let y be -4 - -2 - (-40)\/(-4). List the prime factors of a(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2019533*g - 14 = -2019530*g - 3, 0 = x + 14*g + 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 + 197. Let w = -30 + f. Let u = -45 + w. Solve 2*r - 1 - 3 = u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.04504 + 0.04504. Sort 5\/2, -4\/7, 1, -4, h in descending order.\nAnswer: 5\/2, 1, -4\/7, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16757, 16758, 16759, 16760?\nAnswer: 16761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 23*k - 122. What are the prime factors of o(13)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.1, 0.2, 0.1, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 3.7 (b) 0.4 (c) -0.1641 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26819869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1323 - 4007\/3. Find the common denominator of k and -79\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - g**2 - 2*g - 4. Let v be 24\/(-4)*((-4)\/(-3) + -1). Let k be r(v). Let y = k - -143. What is the remainder when y is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(((-8)\/164)\/2). Solve r = 4*q + 57 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10524 - -10341?\nAnswer: 20865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + 14 + -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:49 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3007 - 3042. Let r = 3.5 - -0.5. Which is the third biggest value? (a) p (b) 1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 5. Let r be i(-5). What is the biggest value in r, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**2 - m**3 + m + m + 0*m**3 + 2 + 8*m**2 as w*m**3 + d + l*m + o*m**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 19 = 38*g - 7*m + 4*m + 9, -3*g - 53 = -2*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -18, -69, -120, -159?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 81. Let n(i) = 17*i**2 - 288. Give n(s(q)).\nAnswer: 17*q**2 - 2754*q + 111249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11760)\/16884 - (-4 - (-42)\/10)*60\/(-18)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5482780.\nAnswer: 2, 5, 274139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -19 (b) 0.03 (c) 0.5 (d) -0.355 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003306 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.166965 minutes to hours.\nAnswer: 0.40278275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(5 - 13))\/(9\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 256 = -21*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 3. Let c be 20\/((-600)\/(-45)) - (-33)\/(-6). Let s(b) = -b + 1. Calculate c*s(l) + r(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1433*o + 13552 + 85083 + 14572 for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9696 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 21 - 1 + 4*u + 1 - 21. Let v(q) be the second derivative of 5*q**3\/6 - 2*q. Determine z(v(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222 + -217. Suppose -2510 = -5*f - o, x*f - 82 = 3*o + 2408. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50.4*-24\nAnswer: -1209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*w + 5*w = -8, -4*h + 4*w = 8. Let r(o) = -o - 1. Let n be r(h). Factor 3 - n - 1 + 1 - 2*c**2.\nAnswer: -2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6596\/(-2244))\/(2\/6) + 9. Which is the third smallest value? (a) 3 (b) 2\/7 (c) l (d) 7 (e) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 - 11 = 0. Let q be (g - (-18)\/(3\/(-3)))\/(-2). Is q\/((-2)\/(-955)*5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d + 30. Suppose 16*b - 17*b - 6 = 0. Let o = 4 - b. What is the greatest common divisor of d and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v**2. Let r(c) = 79*c. What is r(w(g))?\nAnswer: 1106*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-102)\/30*10\/(-2). Let q be (-2 + 1)\/(45\/(-90)). Solve 0 = 3*f - x - 3*x + y, 3*f + q = x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**6\/8 - 43*l**5\/60 + 11*l**2\/2 + 8*l. Let g(a) be the first derivative of u(a). Find the third derivative of g(c) wrt c.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from 0.3.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*o + 1 + 2 - 3 + 345*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*r - 8. Suppose -5*s + 4*w = 8*w - r, -3*s + 3*w = -15. What is the common denominator of 26 and (s\/(-8))\/(9\/(-86))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.06 + -0.06. Let x = h + -4.5. Let q be 2 + 4\/(-14) - 2. What is the third biggest value in -4, x, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1 + 0?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5, -2\/7, 2\/5, 25.5 in decreasing order.\nAnswer: 25.5, 5, 2\/5, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 196.986mg?\nAnswer: 0.000196986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 1\/60*a**5 + 0*a**3 + 0 + 0*a + 6*a**2 + 0*a**4. Let s(j) = -4*j**2. Give q(s(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10120033 (base 4) to base 2\nAnswer: 100011000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 + -4. Let x be 4\/(-12) - 1\/(-5). Let g = -0.03 - -0.33. What is the second biggest value in g, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 69*c + 60*c - 129*c + c**2. Let g(o) = -5*o**2 - 6*o. Calculate g(u(w)).\nAnswer: -5*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4176 + 4189. Put o, 2, 10, -2 in increasing order.\nAnswer: -2, 2, 10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyiiiiiiiiiiiiiiiiyi. Give prob of sequence iyi.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2, -303 in ascending order.\nAnswer: -303, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/68)\/(0 - (-1)\/(-5)). Are h and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 453 - 269. What is the greatest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-39 - -52) - -7\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -283\/3. Let f = 37 - 37.43. Let o = -0.33 - f. Which is the biggest value? (a) o (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*p**3 - k**3 + 3*k*p**5 - 309*p wrt p.\nAnswer: 12*k**3*p + 60*k*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 - 3*t - 2. Suppose -4*h = 17 - 49. Suppose 0 = h*q - 25*q - 17. Give g(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 95*i**4 - 5*i**2 - 5*i - 199. Let a(z) = -237*z**4 + 12*z**2 + 12*z + 498. Let k(v) = 5*a(v) + 12*r(v). What is the derivative of k(j) wrt j?\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:54 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028891346?\nAnswer: 2, 3, 7, 73, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -120410 times -51\nAnswer: 6140910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k*l*p - 43707753*k*l + 147*l*p**2 + 13220*l*p wrt p.\nAnswer: -5*k*l + 294*l*p + 13220*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 190 + 3268*q - 356 - 431*q + 186 + 1103*q. Let b = -3 - 10. Let u be x(b). What is u rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*k = 141, -4*k = -4*x + 59 + 37. Let o = x + -29. Does 13 divide o\/(3 - 1) + 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:10 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j = 4*j - 9635. What is the remainder when j is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01808 - 37?\nAnswer: -37.01808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/4391 + 425867\/87820. What is the common denominator of 37\/7 and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {q: 3, k: 4, h: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(38)\/sqrt(2) + -4)**2).\nAnswer: -108 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {q: 4, m: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 - 314 = -17*p. Suppose -2 = -2*n + 5*q - q, -47 = -3*n - 5*q. Calculate the greatest common factor of p and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1200 and 323518350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 5 = 0. Let g be -3 - (-11 - (-4)\/w). Let f(b) = -b + 5 + 10*b - g*b. What is f(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 2, m: 1}. What is prob of sequence mc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 1071.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-13 + 0 - 5)*(-1 + 1 - r**2).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2792114*x - 1396059*x - 1396057*x - 145.\nAnswer: -2*x - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*3*(sqrt(2178) + -1) - (4 + sqrt(2178) + -1 - (sqrt(2178)*2 + 1))))**2.\nAnswer: -71808*sqrt(2) + 2518792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.843487ms in seconds?\nAnswer: 0.001843487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 544, 702, 880, 1084?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/3063 + -3077\/21441. What is the nearest to 11 in 2, 6\/7, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1935\/2838)\/((375\/(-20))\/15).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b6 - 5?\nAnswer: 4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1760574775 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3106, 25814, 88204, 210358, 412358, 714286, 1136224, 1698254?\nAnswer: 2420458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-21)\/4)\/((-6)\/248).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**7\/315 - o**6\/90 + 15*o**2 - 29. Let h(q) be the second derivative of y(q). Factor h(l).\nAnswer: 2*l**3*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48908 is divided by 3049?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*k - 285, 2*c = 5*k - 2*k - 196. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 25993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcdcdddddddd. What is prob of picking 2 d and 2 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 151246.6 and -1?\nAnswer: -151246.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213 + 428 - 215 - 1422*u)*(-5*u + 9*u + 4*u).\nAnswer: -11376*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6\/(-12)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310031 is divided by 103318.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20012 - -9682. Round p to the nearest 100.\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:16 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464049, 1856644, 4177635, 7427022, 11604805, 16710984, 22745559?\nAnswer: 29708530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -49, -66, -67, -46, 3?\n\"Answer: d**3 - d**2 - 31*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28354 + 2318 = 48*a. Is 58 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26553 (base 7) to base 14\nAnswer: -2863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - 72\/(-16). Suppose -n = 4*f + 12. Let s be f\/(-4)*(4 - 1). Solve -m + w + 8 = 0, -2*w = 5*m + s*w - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -44. Let r(d) = -d**3 - 9*d**2 - 9*d - 18. Let m be r(n). Let k be 152\/(-126) - m\/(-45). Is k greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1566*578.\nAnswer: 905148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let s(l) be the first derivative of -17*l**4\/24 - 3*l**2 - 2. Let g(y) be the second derivative of s(y). Give r(g(j)).\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2162162416, -2162162415, -2162162414, -2162162413?\nAnswer: -2162162412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-3)*6\/4. Suppose 4*l + 9 = b, -p + 0 = 2*b + 2*l. Differentiate -b - o + o + 3 + 3*o wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6507895?\nAnswer: 5, 197, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -9\/5 (b) -2\/65 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05864 + -0.056. What is d rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(832)*1 + sqrt(832) + -4.\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(51)\/sqrt(27) - sqrt(17)))**2.\nAnswer: 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1989, -4219, -6449, -8679, -10909, -13139?\nAnswer: -15369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -347.77 + 406. What is t rounded to zero decimal places?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 1. Let m be v(-4). Suppose -3*r = -m*r - 1680000. Round r to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 12. Suppose 5*l - 3*h = -7*h + 35, 3*h + 15 = 0. Let j = l + v. Which is the biggest value? (a) j (b) 2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -3 (c) -686.3 (d) -1 (e) -8 (f) -0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -840 - -1220. Is 38 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1037\/37, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3 + 11. Let s(l) = l**2 + 5*l + 4. Let p(i) = -2*i**2 - 10*i - 9. Let t(f) = -2*p(f) - 5*s(f). Calculate t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 23 (b) -0.5 (c) -293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177 - 27. Let p = -149 + i. What is the second smallest value in p, 1\/6, -1\/39?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvv. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7172704797757\/5247900455798 + -3\/748951114. Let i = g + 2\/637. Calculate the common denominator of i and -125\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from kkkkkffkkfk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103, -105, -109, -115, -123, -133?\n\"Answer: -l**2 + l - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7943713391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3220 - -9376. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 14*a**3 + 39*a**2 - 252*a + 22. List the prime factors of z(9).\nAnswer: 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 2*j**2 - j. Let v be u(1). Suppose -s - 76 = -5*t, -2*t - v*s = 3*s - 25. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -943*d**5 + 352*d**5 + 158*d**5 - 5*d**5 - 2*d**5 + 5*d**5 + (2*d**2 + 3*d**2 - 4*d**2)*(-4*d**3 + d**3 + 2*d**3) + 2*d**5 - 4*d**5 + 0*d**5.\nAnswer: -438*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.7 - -44.2. Which is the nearest to 1\/25? (a) k (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161318\/4740 - (-340)\/(-110)*11.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/2797157761?\nAnswer: -2\/2797157761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/2 + 15*h**2\/4 - 9*h\/4 = 0. What is h?\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.335 and 37120.\nAnswer: 12435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13321121 (base 4) to base 15.\nAnswer: -98b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 1073979. Let b(l) = 7*l. Give g(b(h)).\nAnswer: 14*h - 1073979","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 285086226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/696 and 113\/285940.\nAnswer: 1715640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -57. Let l = -23.14 + d. What is l rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1978\/9 - -220. Let y = -0.8 + -0.2. Let a = -151\/9 - -154\/9. What is the closest to y in t, 2\/11, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -8*y**3 - 6*y**2 + 0 - 3*y + 5\/2*y**4. What is the first derivative of h(k) wrt k?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4*a - 5*a)*(2*a**4 + a**4 - 2*a**4).\nAnswer: -11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391\/10 + -39. Let h = -121 - -122. What is the closest to h in q, -0.4, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 30. Let x = k - -20.28. Let v = x - -0.22. What is the smallest value in -0.1, v, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38337 divided by -2949.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 107 = 33. Let w = 43 - f. Suppose -w*m = 4*m - 816. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -999\/2*j**3 - 63423\/4*j - 8019\/2*j**2 - 123\/4*j**4 - 3\/4*j**5 - 98415\/4.\nAnswer: -3*(j + 5)*(j + 9)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 16) to base 12\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2283b2 (base 12) to base 4\nAnswer: -2013020312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:17 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -701679 or 2.1?\nAnswer: -701679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v\/(v**5\/v))\/(((v**(1\/7)\/v*v)\/v)\/(((v\/v**(1\/9))\/v)\/v)))\/((v*v**(3\/7))\/v**(-7\/3))**(4\/39) assuming v is positive.\nAnswer: v**(-2162\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 13. Is -5 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**4 - r**3. Let c(i) = -619*i**4 - 4*i**3 + 137*i**2 - 2. Let p(y) = -c(y) + 4*m(y). Find the third derivative of p(h) wrt h.\nAnswer: 14952*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841050?\nAnswer: 2, 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 438737107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -217 (b) 1\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*o - 4256 + 2464 = 6608 for o.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232.73 + 239.73032. Let i = 7 - y. Round i to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 n when four letters picked without replacement from wzznzmzj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -30a319?\nAnswer: -30a314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20 + (-1504)\/(-10). Is 1 - (-3)\/(9\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 17 + 40 + 5*t**3 - 21 + 79*t - 18 to the form p*t + y*t**3 + u*t**2 + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -57.7 and 2.1.\nAnswer: -55.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 15580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/9)\/s)**25*(s\/s**(-2\/41))\/(s*s\/(s*s**(1\/8))*s) assuming s is positive.\nAnswer: s**(13961\/2952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*x**5 + 48665*x**4 + 31*x - 632806 wrt x.\nAnswer: -3980*x**3 + 583980*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 4*k + 93 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**10\/211680 - l**9\/52920 + l**7\/8820 - l**6\/5040 - 2*l**4\/3 + 9*l. Let t(o) be the third derivative of i(o). Factor t(v).\nAnswer: v*(v - 1)**3*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3269 + 3492. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1362550*v**5 + 215*v**2 + 1899*v wrt v.\nAnswer: 81753000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, 0.5, -2\/3 in ascending order.\nAnswer: -2\/3, -0.3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2 + n - 46. Determine y(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -6, -12, -20, -30?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 113, 199, 311, 455, 637, 863?\nAnswer: 1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 443144 (base 5) to base 8\nAnswer: 36100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(2) + sqrt(33))*-1)\/((sqrt(121) + 2*sqrt(121))\/sqrt(11)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t - 3*t + 805*t**2 - 2*t + 19*t.\nAnswer: 805*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -606b201 + -5?\nAnswer: -606b206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6219 times -1?\nAnswer: 6219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6352585629?\nAnswer: 3, 13, 6397, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 4*g - 15, -g + 8 = -4*u. Let z be (u\/(-3))\/(8\/216). Let x(a) = -a + 27. What is the units digit of x(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3445 divided by 1.\nAnswer: 3445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/5*k**5 + 0*k**4 + 0*k - 3\/5*k**3 + 0 + 2\/5*k**2 = 0. Calculate k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - j)*(3 - 5 + 1)*(-47 - 16 - 60)*(-4*j**2 - 3*j**2 - 2*j**2).\nAnswer: -1107*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 6*i - 5. Let j be n(5). Suppose 4*q - 6 = q. Suppose -j = -q*s - 3. Solve s*x = 3*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*n)*(1 - 1 + 1) + (n + 4*n - 4*n)*(2 - 3 + 0).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 6*m - 26. Determine k(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -509 * -16927\nAnswer: 8615843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, 5, 40, 89, 152?\n\"Answer: 7*r**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-330)\/154*(-385)\/(-33).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(198) + 2*sqrt(198) - 1*sqrt(22)*1))\/((sqrt(2) - ((sqrt(8) - sqrt(648)) + sqrt(8))) + sqrt(4)\/(sqrt(2) + sqrt(18))).\nAnswer: 160*sqrt(11)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2154.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b. Let w(i) = -9192*i. What is w(f(q))?\nAnswer: -18384*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990850698 to the nearest integer?\nAnswer: 31478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -19, -35, -51?\n\"Answer: -16*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2523.15 + 2523. What is the nearest to 1\/4 in a, 4, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18375 + 55133\/3. Factor 200\/3*v + f + 1250\/3*v**2.\nAnswer: 2*(25*v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12*n**5)**(18\/7) assuming n is positive.\nAnswer: n**(306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 52*i**2 - 61*i - 203. What is k(-51)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-40)\/40 + 572\/510 and -26\/15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i + 2629 + 1459 = -816 + 3248 for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 10. Sort 0, c, -3, -2 in decreasing order.\nAnswer: c, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -225, -339?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)\/(-4 + 5). Let u be j\/(6\/4)*3. Is ((-3 - u) + 0)*-27 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 1415727072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 15*r**2 - 3*r - 23*r**2 to the form q*r**2 + d*r + o and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 1, v: 9, d: 2}. What is prob of picking 3 v and 1 o?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -u + 6, 6*l = 5*u + 10*l - 30. Solve 0 = -s - u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2314 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*a - 200*a - 17599 = -3*z, 4*z = 3*a - 13218. What are the prime factors of a?\nAnswer: 2, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 35*a**5\/2 + 2995*a**4\/8 + 134*a**2 - 28. What is the second derivative of h(r) wrt r?\nAnswer: 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 417\/5. Suppose -39 = -5*s - 4. Which is the second biggest value? (a) 1 (b) 0.1 (c) s (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/(-7) + 4\/(-14). Suppose 5*v - 2 = s*v. Let x = v - -3. Solve -2*j - 13 = -5*m, -5 = -j - x*m + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x**3 - 4*x**2 + 3*x + 5. Let b be y(4). Let q = -640 + b. Solve -q*m = -12*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130982 is divided by 1323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37711 and 50333661?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-3)\/(-5) - 4148\/5. Let q = a - -1699\/2. Calculate the common denominator of 101\/54 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 310*q**2 + 3*q.\nAnswer: 310*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0, -9, 0.1, -66?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 147.2 and -234.\nAnswer: -34444.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 11*z + z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.94 + -0.54. Let h = -6.3 + 6. Let w be 4*(-23)\/(-20) - 5. Which is the biggest value? (a) m (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = 0, -55*r + 57*r = 4*k - 10. Sort -2, -3, k, 3, 44 in descending order.\nAnswer: 44, 3, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as 192\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 26*g + 149. Determine o(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0 = -0. Solve c = 3*w - 17 + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (15 - (3 - 6) - 22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 943 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20136872 times -0.1\nAnswer: -2013687.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(3872))**2.\nAnswer: -704*sqrt(2) + 15504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1743 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64980 in 14, -1.8, 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1143207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/5 - 48*h**4\/5 - 176*h**3\/5 + 1344*h**2\/5 - 1568*h\/5 = 0 for h.\nAnswer: -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 14 = 5*p - 3*p, 5*x = 3*p + 3. Suppose -t + p*m = -0*t - 36, 0 = 3*m + 12. What is the highest common divisor of 8 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 12*q**2 - 14*q - 8. Let d be v(-13). Let r(x) = x**3 - 6*x**2 + 5*x - 1. Let i be r(d). Which is the nearest to 1? (a) 1 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 52*n + 47*n = 20, 0 = 3*v - 5*n - 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -2)*8\/(-2). Suppose -4 = -4*r + 3*i, -4 = -x*r - i + 2*i. Solve 0 = -3*w + r + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**(1\/8)*d**(2\/19)\/d*d*d**(-4\/9))\/((d**(-2\/3))**(-21)\/((d\/(d*d**(-1\/4)*d))\/(d\/(((d\/(d**5\/d))\/d*d)\/d)))) assuming d is positive.\nAnswer: d**(-6785\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -41.8, 80, -2\/7, -5\/2 in descending order.\nAnswer: 80, 2\/3, -2\/7, -5\/2, -41.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 7 = b, 962*b - 3*u + 21 = 963*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73, -67, -61?\n\"Answer: 6*i - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.96 (b) 3 (c) -3 (d) 0.05 (e) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-1 - -1))*-5. Let p(v) = 1 - v + 2*v + 0. Let i be p(g). What is the greatest common factor of 9 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*i - 236, -l - i - 17 = -125. Suppose 0 = 7*g - 6*g - 13. Let k = g + 3. What is the highest common divisor of k and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.507 - -0.107. Let x = -0.01 - 0.09. Sort -1, 2, h, x.\nAnswer: -1, h, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 151632?\nAnswer: 151633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13*t + 9. Let d(u) = -19*u + 14. What is 5*d(y) - 8*r(y)?\nAnswer: 9*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1*4\/(-12)). Suppose 3*j = -3, -u*j - 96 = -2*s + 87. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9*w - 9. Let c be v(7). Suppose 10 = -c*h, -4*x + 2*h = -3*x - 21404. What is x rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 8. Let h(b) = b**3 - 4*b**2 - b + 6. Let z be h(3). Calculate the smallest common multiple of 8 and l*4\/(-32)*z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1336 + -18369\/1336. Calculate the common denominator of -67\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1478, 23, -2\/11 in decreasing order.\nAnswer: 1478, 23, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4965 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/12))**29\/(a**(-19)\/a**19) assuming a is positive.\nAnswer: a**(427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.6, -55, 0.1 in increasing order.\nAnswer: -55, 0.1, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-35 - -26) - (1 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9624*m = -9619*m - 480. Let w(u) = 10*u**2 - u - 2. Let n be w(2). What is the greatest common divisor of n and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 11 = 5*u - 5, 0 = -5*q - 3*u + 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -143\/6, -13, 2\/15, 2, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5 - 5. Are p and -3\/20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-192)\/(-112))\/((-1)\/(-84)). What is the highest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 6:04 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*x - 5, -x = 5*s - 3105. Suppose 6*y - 9*y = -6156. Suppose 0 = 14*m - s - y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 317 + -312. Let d be (-30)\/(-4)*(-2)\/10. Which is the third biggest value? (a) v (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*g. Suppose l + 3 - 5 = g. Solve -l*x = -x + f - 3, -4*f = -3*x - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 43 = s, 598166*v - 2*s = 598169*v - 35 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11655909 is divided by 2107.\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418983 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29111358 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 5*a + 1\/20*a**5 + 21\/2*a**2 - 7\/12*a**4 + 0 - 2\/3*a**3. Let p be i(9). What is the greatest common factor of p and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 - (8 + (4 - 15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112410*g + 3*f = 112411*g - 5, 5*f + 45 = 9*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**8\/1680 - l**4\/12 - 14*l**3\/3 + 4. Let x(j) be the third derivative of z(j). What is the first derivative of x(g) wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 207798 - 9431 = 5*u, -39678 = -u - 4*z. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 170 = -473. Let m = h + 240. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 - -1. What are the prime factors of i?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159*d**2*o*s**2 + 2221*d**2*o*s + 3*d**2*s**2 + 15*d**2 - 250*d*s + 2*d + s wrt o?\nAnswer: 159*d**2*s**2 + 2221*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13910.994031 + -13911. Let p = h + 0.006. What is p rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32173.\nAnswer: 32173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0152 (b) -312 (c) -1 (d) 0.2 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52424 and 65530?\nAnswer: 262120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23436598 to the power of 1\/2, to the nearest integer?\nAnswer: 4841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(5915\/78))\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 298181.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 3*x**2\/2 - 4*x + 2. Let s = 27 - 6. Suppose -5*f = -3*u + 8*u + 5, -s = -4*f + u. Calculate o(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866172 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 divided by 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 53.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/24*-4)\/(42\/12)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39307413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*c + c + 26, p + 5*c = -22. Let s(t) = 66 - p*t - 84 + 16. Let j(q) = -2*q**2 + 0 + 0. Calculate s(j(b)).\nAnswer: 6*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -525*b**3*h**4 + 673*b**3*h**2 - 3*b*h - 3*h**4 + 2*h**3 wrt h?\nAnswer: -12600*b**3*h - 72*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 18 + 78. Let l(a) = 2*a**3 - 11*a**2 + 11*a - 8. Suppose -10*c = -5*c - 25. What is the least common multiple of s and l(c)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32390534 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdmjsjssdddmmj. What is prob of picking 2 m and 2 j?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 + 6*p + 2206 - 2206. Let t(j) = -j**2. Calculate f(t(d)).\nAnswer: 5*d**4 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6538*h**3 + 147*h**2 + 15*h - 2. Let j(g) = -3269*g**3 + 74*g**2 + 6*g - 1. Let c(z) = -2*a(z) + 5*j(z). Find the third derivative of c(p) wrt p.\nAnswer: -19614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 less than 3.90307?\nAnswer: -41.09693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j - 12. Let h(z) = 14*z - 50. Let m be 8 + 15\/(-3) + 6. Let t(s) = m*g(s) - 2*h(s). Let n(q) = -q + 1. Give 51*n(c) + 6*t(c).\nAnswer: -3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/44*59\/(-295).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2199745001?\nAnswer: 23, 5801, 16487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 - 29*w - 39. Let i(m) = 9*m**2 + 58*m + 79. Let u(z) = -4*i(z) - 7*y(z). Suppose -18*v - 144 = -12*v. What are the prime factors of u(v)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3471 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46432 is divided by 387?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 2. Let n(k) = -k + 1. Let o(i) = -5*n(i) - 4*z(i). Let a be o(-3). Solve a*y - 6 = 4*f + 2*y, 4*f - y + 9 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18873 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33943 and 101083.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-4*k - 408 - 478 + 835) to the form f + d*k and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12120 (base 8) in base 10?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5742372*p**5 - 636*p - 2116 wrt p?\nAnswer: -114847440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 13*s. Give v(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + -2 + 5)*3)**2*-5.\nAnswer: -58905 - 2700*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1777598, -1777636, -1777688, -1777760, -1777858, -1777988, -1778156?\n\"Answer: -o**3 - o**2 - 28*o - 1777568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 5*i**2 - 5. Let f(l) be the third derivative of -l**6\/120 + l**5\/10 - l**3 - 29*l**2. Give -5*f(r) + 6*q(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1173 and 21505.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 11735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/((-3 + 4)*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -262+-0.5\nAnswer: -262.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-5))\/(7\/35))\/(0 - 10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 249, -5, 0.21903, 0.1, -2\/19, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14504 divided by -4?\nAnswer: 3626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -546744 divided by -2071\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2 + sqrt(13))**2 + 4 + sqrt(637) + 0.\nAnswer: 7*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose -b*m - 40 = 2*m. Let x = m + 10. Solve 6 = x*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + r - 137880 + 137821 = 0, 0 = -5*m - 4*r - 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 887400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2319*6*11\/99?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119690 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1 - 18 - 2*g - 8 + 0*g. Suppose -5*t + 24 - 89 = 0. Let b be r(t). Solve -j - b = -5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + ((sqrt(5) - (sqrt(5) + sqrt(5) + 0 + 4))**2 - (sqrt(15)\/(sqrt(3) - sqrt(9)\/sqrt(3) - sqrt(3)) - sqrt(5))) + 2.\nAnswer: 22 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631207096?\nAnswer: 2, 97, 151, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 17. List the prime factors of 3\/(-1) - (3 + k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 685.9875 millilitres?\nAnswer: 0.6859875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2199 divided by -8491.\nAnswer: 2199\/8491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + -199. Suppose 4*w - 8 + 0 = 0. What is the smallest common multiple of w and 6\/(-8) + v\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.3177 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-977999)\/(-55) + 18\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1651)\/(-381)*(-81)\/1287.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3. Let h(k) be the second derivative of k**5\/5 - k**4\/12 + k**2\/2 + 11021*k. Suppose 5*t = 12 - 47. Give t*z(p) + 2*h(p).\nAnswer: p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = 4*g, 3*g = 4*c + 29 + 25 - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-14)\/(-10) + (-4)\/10. Solve a*x - 70 = -9*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**3 - u**2 + 3*u. Let n(p) = -2*p**2 - 13*p**3 - 225 + 7*p + 225 + 0*p. Suppose 13804*r - 20 = 13809*r. Give r*n(b) + 9*w(b).\nAnswer: -2*b**3 - b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/180 and -2\/23425.\nAnswer: 843300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 143348?\nAnswer: 43\/143348","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30383?\nAnswer: 23, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 7*i = -13*i + 61*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 2870?\nAnswer: 2870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 140198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33ba (base 16) in base 2?\nAnswer: -11001110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + 3. What is the lowest common multiple of b and 56?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -1 - j + 1 - 4 + 3. Let h be k(2). Sort -2, -5, h.\nAnswer: -5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 7*i - 4. Suppose 6*f - 45 + 3 = 0. What is s(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21814400 to the nearest 10000.\nAnswer: -21810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.47 + 0.398. Let z = l + 0.071994. Round z to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 36 = -3*i. Suppose 274 = i*p - 122. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*w - 572 = 871*w + 52188 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 49856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 + 5 = 0. Suppose 25 = 2*t + 3*t - 3*h, -w*t + h + 11 = 0. Solve t*a + 0*a - 4*m = -8, 3*a + m = 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -9*r**4\/7 - 1248*r**3\/7 + 97791*r**2\/7 - 1564902*r\/7 + 1468368\/7 = 0.\nAnswer: -198, 1, 24, 103\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -37888926 divided by 332359\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2521 is divided by 614?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 52*v**2 + v**5 - 53*v**2 + 0*v**4 + v**4 - v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -801*l**4\/8 - 123*l**3\/2 - 1382*l**2. What is the first derivative of o(v) wrt v?\nAnswer: -2403","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 7175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5b2 (base 12) to base 5.\nAnswer: 2220440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Let t be ((-2)\/(-4))\/(n\/(-4)). Let a be (t\/1*0)\/3. Is a greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693973 divided by 5?\nAnswer: 1693973\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (784\/140)\/(2\/(-25)). Let y = 137 + j. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 78.96.\nAnswer: 7.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9139, -18280, -27421?\n\"Answer: -9141*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 309 + 0?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 - -3)*-7)\/(-1). Let s = -10 + z. Sort 0, s, 2, -1 in increasing order.\nAnswer: s, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnkkknnkn. Give prob of sequence kn.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, h: 4}. What is prob of picking 3 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*j + 4224, -2*j - 2*a + 1821 = -1003. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -803*f - 394. Calculate k(-1).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f + 301 = -3*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -105, -106, -107?\n\"Answer: -l - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.448 + -2.448015134. Round n to seven dps.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, f: 1, x: 11, q: 2}. What is prob of picking 1 f and 1 x?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/(t\/(t\/(t*t\/((t\/t**(1\/8)*t)\/t)))*t))\/(t*t**(-1\/4)*t*t**(3\/2)) assuming t is positive.\nAnswer: t**(-137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -29 (c) -13316 (d) -5 (e) 0.2 (f) 5 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4 + 8\/((-176)\/(-11)))*3. Let u(n) = 17*n + 10. Let g(y) = 8*y + 5. Determine d*u(v) + 7*g(v).\nAnswer: 5*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222010121011 + 0?\nAnswer: -2222010121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -9. Let j = q + 14. Let i = -78.2 - -78. What is the second biggest value in -1, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/40*(-10)\/4. Suppose p*h = -55 + 79. Solve -n + h - 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-91)*1*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - -1 - (-28 - -38 - 22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.246 - -93.754. Which is the second biggest value? (a) t (b) -1\/6 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**4\/6 - u**3\/2 + u**2 - 11*u. Let r be g(2). Suppose 2*o - 90 = -4*p, 23 = -r*p + 5*o + 92. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 18 + 13)*(-2*m - 1 - 1 + 0) + 5 + m - 5 to the form f*m + k and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(187)*-2)\/sqrt(11) + -1*(sqrt(17) - (sqrt(204) + sqrt(204)*-2)\/sqrt(12)))**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*b + 2*a, 3*b - 14*a = -10*a - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.948 - -0.052. Are -2\/5 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3 - 35704*b**2 + 534596*b + 570304 = 0. What is b?\nAnswer: -1, 16, 8911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 6. Let y be (-1 - 2 - (-28)\/8)*-10. Calculate u(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 471*c**5 + 18*c + 24.\nAnswer: 9420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((1*(-2 + sqrt(1377)))**2 - sqrt(1377)) + sqrt(1377) + (-4 + (sqrt(1377)*-2 + sqrt(1377) - sqrt(1377)))**2).\nAnswer: 216*sqrt(17) + 13810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291 + -196. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p = 45*p + 4200. Let i = p - -808. Is i a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 2*w + 3*w + (-4 - 2 + 5)*(w - 3*w + 3*w))*(-597 - 30*w + 597) + 7*w**2 + 8*w**2 + 3*w**2 to the form c*w + k*w**2 + q and give k.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i - 4. Let j(h) = 21*h**2 + 2. Calculate t(j(w)).\nAnswer: 147*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-3*d + 3*d + 2*d**2) - 2*d**2 + 0*d**2 + 3*d**2 + 3*d**2 + 0*d**2 - 2*d**2 + 6140*d**2 - 6142*d**2 + 0*d + 3*d + 1.\nAnswer: 2*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = -c. Suppose 367 = c*u + 61. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20808.1875 to the nearest 10.\nAnswer: 20810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -201 + -1?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2101210 - -1?\nAnswer: 2101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*t + 3*m, -2*m - 30 = -5*t - 0*t. Solve -l - 10 = t*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -k - 8, 10 = -3*k - 3*h + 4. Let w = -8747\/52 + 2190\/13. What is the nearest to w in 1\/3, -1, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -6. Let q = 1 - m. Find the first derivative of -2 + 6*d**3 - q + 6 wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 2*a**2 - 3*a + 7. Let k(m) = 3*m**3 + 4*m**2 - 5*m + 13. Give -3*k(h) + 5*l(h).\nAnswer: h**3 - 2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 97\/530 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*102\/90)\/((-2)\/12*9\/(-15))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 15 = 3*g. Suppose -3560 + 1333 = -g*m + 2*q, -4*m + 5*q = -2981. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -46. Let o be (-2 - (-12)\/7)*r*22. Is o\/(-10)*(1 + 7\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 487 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4110 = 856*w - 826*w. Is -142 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 6:12 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14514328.\nAnswer: 2, 17, 19, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**5 + 4381*h**3 + 88776*h wrt h.\nAnswer: -80*h**3 + 26286*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -4. Is (6\/(-6))\/(1\/n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 - 9 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -271\/40 and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2 + 3843231*w - 146038446 = 0?\nAnswer: 38, 1281039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (3 + 15)) + 5 - 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -180.55 and -0.3.\nAnswer: 54.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23598186 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2586000 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421827 is divided by 218?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 - 3*c - 8. Let a be i(-6). Suppose 2*t = 3*t - 4. Suppose 3*q - 8 = t. Solve q*x + a = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.49318 rounded to one decimal place?\nAnswer: -206.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767340 a multiple of 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ninn when four letters picked without replacement from nnnnnnnnnnnii.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 80, 58, 34, 14, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*x = 191*x - 414. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5\/7 + 36*b**4 + 5031*b**3\/7 - 11094*b**2\/7 = 0.\nAnswer: -43, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2200c253 - 3?\nAnswer: 2200c250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:50 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510 and 93330?\nAnswer: 93330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -55*112\/(-64)*2460\/(-9471)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - c - 40 = -4*c, -4*c = u - 42. Let k = u + -7. Suppose 2*w**2 - 27 + k + 4*w**3 + 2*w**4 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(240) - -5*(sqrt(240) - 1*sqrt(240)) - sqrt(240)) + sqrt(240))\/(sqrt(40)\/(sqrt(8)*1)).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -102. Suppose -3*q - 4*k - 41 = -8*q, -k = y*q - 16. Solve 0 = -2*z + q*c + 18, 18 = 3*z - 4*c - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378042, -756102, -1134164, -1512228, -1890294, -2268362, -2646432?\nAnswer: -3024504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6549*g*i**2 - 4*g - 37*i**3 - 116766*i wrt i.\nAnswer: 13098*g - 222*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10320, 10272, 10218, 10158, 10092?\nAnswer: 10020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 452665630 - 4?\nAnswer: 452665624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 1\/70*q**7 + 0*q**4 + 1\/30*q**5 + 0*q**3 + 0*q - 4*q**2 + 0 + 0*q**6. What is the third derivative of k(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = 5*t, -2*t - 11 = 3*r + 2. Let m be (-41)\/(-820) + 10\/(-8). Is m at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -20*2)*(-20)\/(-112) + -2 + -6.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(6)\/sqrt(2) + -4 + -3*3*sqrt(3))*-6.\nAnswer: -288*sqrt(3) - 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*s + 19 = -s, 3*b - 4*s = -17. Let u(y) = y - 6. Let k(v) = 1. Let n(q) = b*u(q) + 6*k(q). Let a(l) = 9*l**2. Calculate a(n(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 10*j + 5*i + 340, 372 = -4*j + 3*i. Let v = j - -92. Solve -5*o + v*o = -6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, -482109, 3, 4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7826 = 82*g + 219*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*v + 38*v + 162*v + 2737 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -7*c - 0*c + 41 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 12*c**2 + 15*c - 28. Let z be m(13). Suppose 0*r - 4*r = -12. Sort r, z, 4.\nAnswer: z, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*144\/3. Is 54\/c - 319\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2014, -2269, -2514, -2743, -2950, -3129?\nAnswer: -3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.025 + -0.025. Which is the closest to 0.2? (a) 0.4 (b) q (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.2 (c) 73793 (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let k be j(-1). Let u be k - (-3 + (-6)\/(-4)). What is the third biggest value in 0.03, u, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b. Let s(i) = i. Let c(f) = 35*f. Let v(y) = -c(y) + 30*s(y). Suppose 5*d - 5*k = 100, 4*k + 6 + 6 = 0. What is d*v(x) - 6*g(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = -4*k, -4*k - k = 2*g + 11. Let p(l) = 29*l**2 + 2*l + 5. What is the hundreds digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 147873 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-690)\/184*80\/50 + 124\/22\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 0.052445?\nAnswer: -4.947555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 899?\nAnswer: 899.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiiooiiib. Give prob of sequence oobo.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 + 1)*(40 - 40 + 6*j) - 108*j - 50*j - 44*j)*(-2 - j + 2) to the form a*j + q + s*j**2 and give s.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 8 = v, 3*k - 2 = -4*v + 6*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10. Let c(p) = -1101*p - 121. Let a(v) = -c(v) - 4*f(v). Find the first derivative of a(u) wrt u.\nAnswer: 1101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. Suppose n*a = 3*a. Suppose a = -3*o + 15, 5*j - 35 = o - 3*o. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 9:44 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4633 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 12*i - 3. Let c be (6\/2)\/(6\/8). Let p be v(c). What is the greatest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 5*p**2 - 88 + 47 + 41 + 9*p**3. Let j(b) = 8*b**3 + 5*b**2 - 5*b + 1. Let y(q) = 6*j(q) - 5*s(q). What are the prime factors of y(4)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099394 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1830)\/(-336) + -4 + (-2)\/8 and -47\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -878 * 18913\nAnswer: -16605614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 14*j**2 - 39*j + 112. What is y(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.08518 - -0.08518. What is the nearest to 0.3 in v, -0.03, 4, -1\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 1. Let a(n) = 40*n - 48. Let w(g) = -a(g) + 48*x(g). Let l(r) = r. Give l(w(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725368441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/23798 and -17\/17604.\nAnswer: 1285092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424, 1811, 2196, 2579, 2960, 3339, 3716?\nAnswer: 4091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 64*h - 7362. What is w(115)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 0 - (497 - 489).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2) + 30\/35*2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.217 + -0.083. Let d = 23 - 41. Let i = 2 - d. Which is the third smallest value? (a) -1\/4 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(54)\/sqrt(2) + sqrt(27))\/((sqrt(729)*-1 - sqrt(729)) + sqrt(729)) + 1.\nAnswer: -7*sqrt(3)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 852 + 291 = -16*h + g, 11*g - 81 = -9*h + 8*g + 168 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5 + -4?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/36*(-285)\/(-266). Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/132*-20)\/(6\/27).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/66)\/(-3))\/1*2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 3*s + 3*s + (-3 + 3 + 5)*(0*s - 3*s + s) in the form c*s + v and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f + 60. Solve 3*r + 3 = -f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251228376 to the power of 1\/3, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 6 = 40 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96997044259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 0*y**3 - 4*y**4 + 13 + 2*y**3 - 11 to m*y**2 + x + h*y + o*y**4 + n*y**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 881 + -901. Which is smaller: a or -1\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38670431?\nAnswer: 38670431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v**2 - 2*v**3 + 0*v - 1 + 3\/4*v**4. What is the third derivative of u(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*p = 278*p + 673*p + 48346 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 14, -13, -60, -133, -238, -381, -568?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23 and -0.063228.\nAnswer: -23.063228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, -33911, 1, -2 in increasing order.\nAnswer: -33911, -108, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v**2 - 4*v**2)*(-70*v + 34*v - 157*v) + (2*v - 1 + 1)*(-v**2 - 5*v**2 + 4*v**2) - 5*v**3 + 2*v**3 + 0*v**3.\nAnswer: 379*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*c**2 + 4244*c + 2124 = 0. What is c?\nAnswer: -1\/2, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1102*v = 1652*v - 17050 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-21)*z*z**5)**1 assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*z**3 + 10*n**2*z**2 + 12*n**2 - 13*n*z**3 - 24*z wrt z.\nAnswer: -6*n**2*z + 20*n**2 - 78*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(2\/39)\/((l**(-1\/5)*l)\/(l\/((l*l**(-1\/4))\/l)*l*l)) assuming l is positive.\nAnswer: l**(1951\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2220990 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*j - 55, 3*j - 72014954*m + 65 = -72014959*m for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 7, w: 7}. What is prob of sequence zw?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**6\/360 + y**5\/120 - 5*y**4\/24 - 3*y**3 + 1. Let z(n) be the third derivative of m(n). What are the prime factors of z(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.884661 months to centuries.\nAnswer: 0.0232372175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/4 + 5000\/(-3360) - 4\/(-6). Put -39\/5, 2\/5, r in descending order.\nAnswer: r, 2\/5, -39\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19 + -21)\/((-9 - -6)\/(-3)). Let o(q) = -27*q + 1. Let y(w) = -135*w + 6. Give i*y(k) + 11*o(k).\nAnswer: -27*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-408)\/2 - 0\/(-1). Let q be 1\/2*y\/(-6). Let p be 9*(14\/6 - 2). Solve 0 = -2*m + 3*m - p*d + 12, 4*m + d = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1131430 - 46?\nAnswer: 11313a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j - 5. What is the tens digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 12:48 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1732575751 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**4\/8 + 2*j**3 - 18*j**2. Calculate the smallest common multiple of k(5) and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -73. Let g be 1 + (-4 - 0) + -1. What is the nearest to n in -0.3, -0.5, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.097101 times -0.5?\nAnswer: 2.5485505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*d - 8770 = -8761, 2*d = -3*j + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 493743 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.027 + 0.079. Let d = 3 + -2.998. Let a = h + d. What is a rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(-1*(sqrt(152)\/(-1*sqrt(8)) + sqrt(19)) - (sqrt(190)*1*-4)\/sqrt(10)))**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 639 and 153.\nAnswer: 10863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - a = -4*z + 19, 9 = 3*a. Suppose 26 = 2*v - 4*q - 0*q, 4*q = -2*v - 14. Let b = v + 40. What is the remainder when b is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191 + 191 - 33*g + (-3*g + 7*g - 3*g)*(-4 + 4 + 2) - 2*g + 0 + 0 + (1 + 3 - 5)*(-1 - 2*g + 1) to the form m + y*g and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1153\/14843 - -266743291\/2671740. Let a = -989\/10 + n. Let y = 10\/9 - a. Is -1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -5. Let p(m) = -9*m**3 - 2*m**2 - 7*m. Let t(v) = 44*v**3 + 11*v**2 + 35*v. Let r(n) = x*p(n) + 2*t(n). Find the second derivative of r(q) wrt q.\nAnswer: -66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4532940 divided by -18\nAnswer: -251830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*s + 7 = 2, -p + 4*s - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5670 and 1170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 59*l - 13. Let b be j(29). Solve b*n - 12 = 36 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1254268665 rounded to 4 dps?\nAnswer: -0.1254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by (42\/(-3))\/(-2)*6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 99 = 3*n. Let r = n - 18. Let p = 38937 + -38913. What is the remainder when p is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w + 2*w)*(-1 - 3 - 1)*(w**4 - 4*w**2 + 4*w**2).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3488, 3399, 3250, 3041, 2772, 2443, 2054?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -3. Let s be 6\/4 - (-35)\/(-30). Let d be 24\/(-60)*10\/36. What is the third smallest value in d, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3\/5 + 11442*n**2\/5 + 10909947*n\/5 = 0 for n.\nAnswer: -1907, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-202)\/(-20) - 10 - (-2)\/(-4). Sort 8, j, 7\/2.\nAnswer: j, 7\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a64 (base 14) to base 11.\nAnswer: -14a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6244 + -13620?\nAnswer: -6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*i**2 + 10*i**2 + 4*i + 4*i to p*i + w*i**2 + o and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - g = -4*w + 134, -11*g + w = g + 313 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 14*y + 7. Let m be f(-11). Let c be (-42)\/70 + m\/(-10). Let n = c + 3. Solve t - 10 = -4*t - n*d, 0 = 2*t - 3*d + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.4 (b) 2\/7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 84*d**2 + 22. Let p(o) = 82*o**2 + o + 22. Let f(r) = 2*p(r) - 3*z(r). Find the second derivative of f(c) wrt c.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + -4*(5 + sqrt(1800)*-2 - (2*sqrt(1800) + 5))))**2.\nAnswer: 76800*sqrt(2) + 7373200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8950000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5 + 156*j**3 + 666*j**2 + 999*j + 486 = 0.\nAnswer: -3, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210 - 207. Let f(r) = -r**3 + 3*r**2 - 3*r + 3. What is f(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93, -105, -119, -141, -177?\n\"Answer: -b**3 + 5*b**2 - 20*b - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 30 = -18. Let r be z\/(-32)*(-6)\/(-9). Suppose 7*w + 3 = 4*w. Which is the biggest value? (a) 6 (b) r (c) 4\/3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + sqrt(1008) + -5*(1 + sqrt(1008)) - 3*sqrt(1008)*-1 - (4 + 0 + sqrt(1008) + -3 + sqrt(1008)))*2)**2.\nAnswer: 1152*sqrt(7) + 16272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.025 + 0.02533. What is q rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112730 + 212631. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 8*h - 6. Suppose -2 = 5*i - 22. Let n be (-18)\/(-4)*i\/6. Suppose -n*p + 8 - 26 = 0. What is r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 12*c - 1136 = -1076, 23*l - 4*c + 300 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812*n + 797536 - 797536.\nAnswer: -812*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23638 or 23642?\nAnswer: 23642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 53 + -54 - ((0 - 41) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a54b - -3?\nAnswer: -a548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-140)\/(-700)*-6*1*-5\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2734, 5462, 8182, 10894, 13598, 16294?\nAnswer: 18982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/60 + 5*i**4\/8 + 4*i**3\/3 + 4*i**2 + 11*i. What is the least common multiple of u(12) and 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2\/((-30)\/35).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-156\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5 and ((-213)\/(-195))\/((-77)\/(-5)*-4).\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + 22 - (2 + 5)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37510 (base 12) to base 15.\nAnswer: 17376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*v + 6*v + 1, 0 = -2*v - 5*j - 3. Let c be -1 - -2*43\/v. Calculate the highest common factor of c and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*(-73)\/(-219).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210633063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 83*z**2 + 649*z - 262. Is i(-127) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 1545*z - 493*z + 599*z.\nAnswer: -2*z**2 + 1651*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = 12. What is the highest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-353 - 3) + 4 + -4 + 9. Let a = -342 - j. Solve -3 = -a*w + 6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 2*s**2 - 3*s - 3. Let p be y(-2). Suppose 0*a + p*a = 6. Let b = 4 - a. Solve -b*j = -o - 10 - 1, -6 = -j + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9652103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -19. Which is the second smallest value? (a) -0.4 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.07 (b) -1 (c) -2963 (d) 0 (e) -4\/5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -124 + 112 + -139 + 88\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3919959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 27 = 13*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*n**2 - 100*n**2 + 53*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -467, -9 in descending order.\nAnswer: -4, -9, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3214*v**3 + 13816*v**2 - 11972*v**2 - 6332*v**2 wrt v.\nAnswer: 19284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = 10*i - 6162. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2931320 and 446880.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2059 (base 14) to base 4.\nAnswer: 1112333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-24) + (-1)\/2. Let r(x) = x**2 + 2*x. Let f be r(-2). Is f >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**2 + 641*o + 573. Give a(81).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1623182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3630493 is divided by 100846?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o**3 - o**2 - 5. Let u(q) = 11*q**3 - q**2 - q - 8. Calculate -2*u(i) + 3*w(i).\nAnswer: 14*i**3 - i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21902 and 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954653.\nAnswer: 7, 136379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/4)\/3)\/(30\/24)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 6*y**2 - 7*y - 7. Let m(p) = -p**3 - p**2 - p - 2. Let h(g) = -2*m(g) + s(g). Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 14*u. Suppose 0 = -5*q - 148 + 383. Let i be 47\/((-9 - -8)*-1). Let v(x) = -x + q - i. Give d(v(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7411228171?\nAnswer: 109, 1279, 53161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, 3, -4351?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.4833038 rounded to three dps?\nAnswer: -16.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-180)\/50)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2 + 2 - h - 3 + 2 + h**3 - h**2. Let r(y) = -8*y**3 + 5*y**2 + 7*y + 5. Let s(b) = -5*m(b) - r(b). What is the second derivative of s(p) wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 8, 221 in increasing order.\nAnswer: 8, 17, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-24)*4*(-6)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66208767929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25134 divided by 3?\nAnswer: 8378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0559 times 7\nAnswer: -0.3913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5871369433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3740, -3778, -3820, -3866, -3916, -3970, -4028?\n\"Answer: -2*f**2 - 32*f - 3706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let r be t(0). Suppose y + r = 4. Suppose -y*a + 18 = -22. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8378685, 8378684, 8378683?\nAnswer: 8378682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2232 and 132.\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -0.02, -23, -1, 6, 0.1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 182 + 206 + 194 - 73 - 5*q**2 + 45.\nAnswer: -5*q**2 + 2*q + 554","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1765\/3 + (-37)\/111. What is the highest common divisor of h and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 1\/6*p**6 + 0 - 19*p**2 + 0*p - 5\/12*p**5 + 5\/24*p**4 + 0*p**3. Factor j(k).\nAnswer: 5*k*(k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*26 + (-304)\/(-228). What is the highest common divisor of d and 954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from ddjdfdddddwffdd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19844*i**2 + i - 54524?\nAnswer: 39688*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a**2 - a + 2. Let d be y(0). Factor 2 + 0 + 10*w - d*w**2 - 10*w.\nAnswer: -2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 51. Let p(f) = f - 2. Let s(a) = -5*p(a) + u(a). Let x be s(-11). Solve 2*w + 2*q + 3 + x = 0, 5*w - q = 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Evaluate ((-6)\/(-2) + -4)*9\/(-36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1341721 divided by -4\nAnswer: -1341721\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 + (-328)\/28. Let z = o + 17. Suppose -r + 40 = z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -2*k + k + 18 + 5*k**2 - 20*k. Find the first derivative of m(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/5 and 101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22455, -22430, -22405, -22380, -22355?\nAnswer: -22330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 58449, 116985, 175577, 234225?\n\"Answer: 28*c**2 + 58452*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 325945 and 4380.\nAnswer: 3911340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*a**2*m**3 - 3*a**2*m**2 + 10*m**2 + 3 wrt m?\nAnswer: -426*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**2)*d*d)**(-2))**(-3\/19) assuming d is positive.\nAnswer: d**(24\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198343, 198405, 198511, 198661?\nAnswer: 198855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 + 2*m**3 + m**3)*(-m + m - 2*m) + (-19*m**2 + 27 - 27)*(-5*m**2 + 3*m**2 + 0*m**2).\nAnswer: 42*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9210810 a multiple of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085647052.\nAnswer: 2, 7, 38773109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 41, -3, 94.\nAnswer: -3, -1, 2, 41, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**4 + 1542963*t - 4388781 wrt t?\nAnswer: -4*t**3 + 1542963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*o + 2*t, 4*t + 18 + 139 = 5*o. Suppose o*k = 35*k. What is the tens digit of -2 + (-685)\/(-5 + k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138086115 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 7 = -r, 4*r - z + 5 = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (-1224)\/(-135))*-3*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -54 - 51. Let h be (-10)\/25 - n\/(-15). Solve c + 2 + h = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 16206*h**3 - 16208*h**3 - h + 35*h**2 + 1.\nAnswer: -2*h**3 + 35*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a + 36. Let m(l) = -2*l**2 - 38*l - 2. Is m(a) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/30 and 29\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37073943.\nAnswer: 3, 179, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -95? (a) 2\/3 (b) 0.26 (c) -42.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -355690 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, a: 6, z: 2}. Give prob of picking 3 a.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*u**3 - 5*u**2 - 21*u**3 - u**2 - 2*u to g + v*u**3 + w*u + n*u**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 8:00 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*t = 36, 5*a - 217 = 8*t - 291 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 621, 3, 1, 0 in ascending order.\nAnswer: 0, 1, 3, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420003 divided by 3.\nAnswer: -140001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 3:42 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - c = 304, 3*w + 3*c - 7*c - 316 = 0. Suppose -w = 2*j - 4*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162*b + 1167*b - 7*c = 11, 3 = -c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-30))\/(10\/(-75))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 5 + 14 + (8 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 6170*m - 105173. Determine z(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 10 = 2*r. Let m be (-1)\/r*-8 + 3. Let p = -85 - -79. What is the third smallest value in m, p, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620683237?\nAnswer: 53, 30578929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**4 + x**3 - 2. Let s(z) = -z**5 + 8*z**4 - 5*z**3 + 2*z**2 + z + 10. Let j(r) = 5*m(r) + s(r). Factor j(d).\nAnswer: -d*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 969283\/4245 + -8\/4245. Is 227 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2 + 0 - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3486, 7012, 10538?\nAnswer: 14064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -15*x - 71. Let b be k(-5). Suppose b*z = -6*z + 3*z. Solve 5*l = 5*u - 35, 4*u + l + z = 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 732613 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 323 = 5*j + 2*k, 0 = -2*j + 5*k + 116. Let u be (-21)\/(-9) + -2 + (-3)\/j. Let c = 0.05 + -0.05. What is the nearest to 1\/2 in c, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1743*q + 181*q + 502*q - 1002*q.\nAnswer: -2062*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50156 + 3109735\/62. Let l = -11128 - -133453\/12. Calculate the common denominator of z and l.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 - -3.69. Let s = l + 0.08. Let v = 4.00003 - s. What is v rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**5 - 45802*i**4 - 68692*i**3 + 22904*i**2 + 68696*i + 22898 = 0.\nAnswer: -11449, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1\/((-2)\/14) - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 1139820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2467445 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 5*j**4 - 3*j**4 + (j - j - j**2)*(3*j**2 - 3*j**2 + j**2)*(3 - 18 + 7) + 0*j**4 + 5*j**4 - 3*j**4.\nAnswer: 11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -h - 23. Let z(l) = 60*l + 19. What is the hundreds digit of z(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9200, 36856, 82958, 147518, 230548?\n\"Answer: 2*h**3 + 9211*h**2 + 9*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j*m**2*n - 67*j*n - 98*j - m**2 wrt n.\nAnswer: 2*j*m**2 - 67*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2301?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/6)\/(15111\/891 + -17)*72\/(-126).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4450 - -4450. Solve -8*g + 10*g + 19 = -5*n, p = 3*g - 5*n - 34 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -89, 3000 in increasing order.\nAnswer: -89, 0, 3000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*t + 10 = -3, w = -3*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 20 = -0*h. Suppose r = h*r. Which is the third smallest value? (a) 0.3 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 3805085?\nAnswer: -3805100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 27*l - 8. Let h be c(-11). Let m be (-2)\/(-16) + h\/(-8). Solve 2*a - m = 6*a - 2*z, -5*a - 17 = z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztnzn. What is prob of sequence nzt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1\/5, 0.5 in decreasing order.\nAnswer: 2\/3, 0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*y - 5*h, 4*y = -0*y + 2*h + 16. Solve q - 2 + y = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 16336118\nAnswer: -4900835.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2\/5 (c) -2\/9 (d) -7 (e) 4621 (f) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/108*114\/133?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from immmmmlmm. Give prob of sequence lll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2153 + 0.241. Let p = f + -4.5657. What is p rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let x(z) = -9*z**2 + 4 - 4. Give f(x(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-132))\/(4\/12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -9) + -2 + -4. What is the common denominator of -19\/100 and 12\/(-8)*(201\/180 - l)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/((-180)\/(-10)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*p**2 + 8*p + 201*p**2 + 16*p**3.\nAnswer: 16*p**3 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 10*u - 6. Let j be ((-15)\/9)\/(u\/24). What is the highest common divisor of 180 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1441282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, 0.5, -371.6, 3\/5 in increasing order.\nAnswer: -371.6, -0.2, 0.5, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vve when three letters picked without replacement from {y: 1, e: 7, v: 2}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3\/(-1 - 2). Let x(p) = 4*p**2 - 1. Let d(y) = 1. Let a(s) = u*x(s) - 4*d(s). Find the first derivative of a(g) wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**7\/126 - d**6\/90 + d**5\/60 + d**4\/36 + 5*d. Factor k(j).\nAnswer: -j**2*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**6\/10 + 9*d**5\/25 - 33*d**4\/20 - 3*d**3\/5 + 3*d**2 - 88. Suppose n(x) = 0. What is x?\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479011 divided by 6\nAnswer: 479011\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 2*s - s**4 + 4*s**3 - 4*s**3 + 3 - 4*s**2 in the form v + m*s**3 + d*s + k*s**2 + h*s**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 + 8. Let f(x) = -3122*x**2 - 4855*x - 32. Let q(s) = -4*a(s) - f(s). Find the second derivative of q(z) wrt z.\nAnswer: 6284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231595 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000133311123 (base 4) to base 3.\nAnswer: 1011210222212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -71, -178, -337, -554, -835?\n\"Answer: -l**3 - 17*l**2 - 3*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 0.3, -1\/2, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -217*s + 456. What is h(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5586*i**2. Let x(r) = -26281*r. Calculate o(x(s)).\nAnswer: -3858199708146*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8994391 and 14.\nAnswer: 17988782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.305622 nanograms?\nAnswer: 0.000000305622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10202201 (base 3) to base 13\nAnswer: -1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89, -106, -129, -158?\n\"Answer: -3*y**2 - 8*y - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -19. Solve -w*d + 8 = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504799, -1009596, -1514393, -2019190?\nAnswer: -2523987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n - 8. Let q = 25 - 23. Suppose -q*y = -5*d - 177, 2*y = -2*y + 2*d + 330. Let j(p) = 7*p - 104 + y + 7*p. Give 17*a(z) - 6*j(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -592155 + -1324?\nAnswer: -593479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48146.\nAnswer: 2, 7, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 6*p = 10. Let z(u) = u**3 - 9*u**2 - 9*u - 10. What is z(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from ylrylelyleeyl?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 - (1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 8) in base 4?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 61. Suppose -4*l - l = -o - 24, 0 = 5*o + 5*l + a. Let q be o\/6*2 - -6. Solve 0 = 2*y + q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 4, h: 1, w: 1, f: 1, r: 3}. Give prob of sequence hcr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 + -0.04. Which is the smallest value? (a) m (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {v: 9, j: 11}.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*l - 2 + 2.\nAnswer: 93*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*p + 47 = 12*d + 250*p, 14 = 7*d - p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1496\/(-17))\/22)\/((-1)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/4 + i. Let z(h) be the first derivative of 9*h**2 - 5683. Determine w(z(j)).\nAnswer: 972*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5355 - 34.8.\nAnswer: 5320.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 200100?\nAnswer: -200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.866 + 0.134. Let t = -9 - 12.4. Let h = l + t. Which is the fourth biggest value? (a) h (b) -3 (c) 3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -218053*z**2 - 104778.\nAnswer: -436106*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r = 2*r. Suppose 35*l - 34*l - 5 = r. Which is the biggest value? (a) -3 (b) l (c) 4 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.3133999\nAnswer: 0.6267998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 37813*h**2\/2 + 178737324*h + 178718418.\nAnswer: (h + 1)*(h + 18906)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -147, -207, -311, -471, -699, -1007, -1407?\nAnswer: -1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/127? (a) 7 (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 47673525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 43556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1105344 in -1, 2\/17, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 33. Let l be h(-8). Let f be l\/49 + 66\/(-21). Put f, -4, 4 in increasing order.\nAnswer: -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 701010 - 99?\nAnswer: 700a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 + 87*f + 324. Let g be b(-4). What is the greatest common factor of 264 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (-592)\/(-64))\/(2\/(-4))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.267 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13770016, 13770074, 13770130, 13770184, 13770236, 13770286, 13770334?\nAnswer: 13770380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -0.13179\nAnswer: -0.16821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -430 - -804. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8227275925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = 5. Suppose 6*m - 5*a = 2*m + 2, -2*m + 4 = -n*a. Put 0, 5, m in ascending order.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*(sqrt(468) + -2*sqrt(468)) + -1*sqrt(468) + 0 + sqrt(468))*3)**2*-1*2.\nAnswer: -4852224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19041 or -57124\/3?\nAnswer: -57124\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7607 divided by 24\nAnswer: -7607\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(76) - -4*sqrt(76)*1)*5)\/(sqrt(2048)\/sqrt(2)).\nAnswer: -5 + 25*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.48328 kilometers to micrometers.\nAnswer: 34483280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26254109 to the nearest integer?\nAnswer: 5124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2541 or 2578?\nAnswer: 2578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 103*z**3 - 396*z**3 - 2 + 0.\nAnswer: -293*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31933996097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -50, -30, 6, 64?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 2*l. Suppose -27 = -5*j - 4*c + 64, -12 = -l*c. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43468, 86970, 130486, 174022, 217584, 261178, 304810, 348486?\n\"Answer: y**3 + y**2 + 43492*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -18, 2\/15, -0.2, -4.7, -7\/2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45193782 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = -9. Find the second derivative of 0*h**4 - 46*h + 50*h - a*h**4 wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**6\/120 + v**5\/5 - 5*v**4\/12 - 7*v**3\/3 - 208*v**2. Calculate q(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 + 11 + 2 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -9*q - 951. What are the prime factors of q?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 1180.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**5 - 52353*d**4 - 52362*d**3 + 104712*d**2 = 0.\nAnswer: -2, 0, 1, 17452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417 - 7.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11789 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/63 + (1 - (-24)\/21). Let j be 1*((-16)\/6)\/(h\/3). Let s be (-12)\/(-14)*(-3 + -4). Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42995 + -42990. Let g(x) = -14*x + 3. What is the lowest common multiple of f and g(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttthttttttth.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 450223315 (base 6) to base 11\nAnswer: 4658543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81587954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -31*z**3\/6 - 227*z**2\/2 + 12*z + 1. What is the tens digit of w(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27160\/43 or -633?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1030 - -1819. Suppose -c + 225 = -12*p. What is the remainder when p is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 3\/8 (b) -1\/11 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + -4*(sqrt(475) + 0)*-1 + 0.\nAnswer: -5 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -46. Find the third derivative of -5*i**2 - 7*i**6 + 3*i**2 + 8*i**c wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3716988*l + 22301932. Determine f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253338?\nAnswer: 2, 3, 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48620539?\nAnswer: 11, 4420049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = -t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, l: 7, a: 9}. What is prob of sequence as?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 8.8. Let m = y - -9.3. Which is the biggest value? (a) -0.03 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 1911425*i**2 + 913452323248*i - 63019110338196.\nAnswer: (i - 955678)**2*(i - 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2300, -5, 415?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*c = -18, 63*m + 5*c - 32 = 67*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15455925847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*h, -5*l - 3*h = -h. Let p = -8 + 3. What is the nearest to l in -2\/15, p, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 17*r**2 - 87*r - 525. What is i(-7)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {b: 1, f: 1, x: 1, o: 1, w: 1, e: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23661600 and 5323860?\nAnswer: 212954400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1771*z + 533 = 5*s + 1798*z, -s = -5*z + 91 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c = 30. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.86 - -5. Let v = -0.26 - i. Which is the third biggest value? (a) v (b) 1.9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**2 + 1 + 418*p + 70 - 30 - 41 to the form v*p**2 + r + h*p and give h.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14680*v**4 + 23*v**2 + 458*v.\nAnswer: 352320*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 433?\nAnswer: -66\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.2. Let i = j - 0.4. Suppose g + 48 = -11*g. Put 0.2, g, i in ascending order.\nAnswer: g, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4438005 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3955662429 + -0.0234?\nAnswer: -3955662429.0234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 3*n + 12, 2*n - 8 = -4*q. Let o = 2 + 1. Find the second derivative of q*m**3 - m**3 - 5*m**o + m + 5*m**3 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 18*s - 84. Is s at most as big as -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 9*i + 1. Let h be j(6). Suppose -m - r - 4*r + h = 0, 0 = -4*m - 2*r + 166. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -451\nAnswer: 6\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 29*w**2 - 26*w + 63. Does 163 divide y(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 8. Give u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:23 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 1, h: 2, d: 1}. What is prob of sequence hv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 52649*f**3 - 3 - 13051*f**3.\nAnswer: 39598*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2439 = 4*x + 315. Suppose 0 = 530*c - x*c + 2681. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1\/314 (c) 1\/5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d + 51*d - 48 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1026063 (base 8) to base 16\nAnswer: -42c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*k + 66*f**3 + 22*f**2*k - f*k + 4*k wrt f.\nAnswer: 12*k + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 5. Suppose -55 = -5*i - 3*r + 16, -5*r + 65 = 5*i. Let v = i - 16. Let a be (-3)\/(-6)*-2*v. Determine b(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4*(-8 - (-3568)\/168) and 67\/496.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143630*s**3 - 71896*s**3 - 71803*s**3.\nAnswer: -69*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 50, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 2\/7 (c) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 - 15*z + 6*z**3 + 2*z wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 27*g**2 + 5*g - 7. What is the units digit of x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82594.04 less than -101?\nAnswer: 82493.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - -2. Let i = 31 - -21. What is the greatest common divisor of a and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -39. Suppose l - k = -3*d - l, 0 = 2*l - 8. Solve -6*w + 5*g + 17 = -d*w, 0 = 2*w + 3*g + 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 933 (base 12) to base 3\nAnswer: 1211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066180621 a multiple of 9628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 18*v = -12. Does 6 divide (-29)\/(-3) + v + 8\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, q: 4}. Give prob of picking 3 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -128) + -108 - (-172)\/(-82).\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -3. Let w(v) = v**3 + 3*v**2 + v + 5. Let a be w(0). Solve 0 = -u*m + 9, 0 = a*x - 2*x + 2*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-21) - 22\/231. Solve -3*b + d = -5*r, 3*b = 2*b + 5*r + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v - 12. Suppose -2*c - v = -3*c. Let l be (0\/(c\/2))\/2. Let g(d) = -d**2 - d. What is g(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v + 1. Let t be a(5). Let p be (t - -6)*(-6)\/(-4). Solve -x = p - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3 + 3*a**2 + 2108102*a - 124418574 wrt a?\nAnswer: -6*a**2 + 6*a + 2108102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 - 4\/(-2). Suppose -t = -k*t - 9. What is the remainder when 26 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -39490*k. Let u(t) = -4*t**2 - 658*t. Determine l(u(c)).\nAnswer: 157960*c**2 + 25984420*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, v: 9}. Give prob of sequence bvbv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60*x**2 + 62 - 62)*(0*x + 2*x**2 + 0*x) + 0*x - x**4 + 0*x as y*x**3 + m*x**4 + z + f*x**2 + q*x and give m.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*u + 340179*g**2*u + 491*g - 71*u wrt g?\nAnswer: 12*g**2*u + 680358*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43800 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*j = 2, 2*j - 11 = -3*n - 2. Let q = -22 - -18. Put q, -3, n in descending order.\nAnswer: n, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97128724 and 18216?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3150)\/(-2205) - (-8)\/14. Let y(d) = -3*d + 2. Let u be y(2). Let n = 3.99 - -0.01. Put c, -3, n, u in ascending order.\nAnswer: u, -3, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-8) - (-436 + (-2)\/1). Let a = c + -260. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/2052 and -67\/36?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 + 14. Let h = 176 - m. Let a = 2 + h. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1356750 and 536.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**2 - 692*s - 344.\nAnswer: -4*(s + 86)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + z - 5. Let m be k(0). Let y = -2 + 6. Which is the third biggest value? (a) m (b) 3\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 395 divided by -259\nAnswer: -395\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 4*s. Let k be o(5). Determine w, given that -18*w - 3*w**2 + 5*w**2 - k*w**2 - 2 - 25 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 - (133 + (-41 - 23)) - (60 + 0 - 1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1\/z*z)\/z)\/z**(1\/6) assuming z is positive.\nAnswer: z**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/570 and 15\/13984?\nAnswer: 209760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/169, -1\/10 in decreasing order.\nAnswer: 3, 2\/169, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 7. Calculate the greatest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578754, 578755, 578756?\nAnswer: 578757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9985535933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1)\/(-1)) + -1. Suppose 3*o + 4*v - 2*v = 35, -4*o - v + 55 = y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 93.82 and 5?\nAnswer: 88.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -8 (b) -4 (c) -2\/9 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -106, 1, 0.04, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57447110?\nAnswer: 2, 5, 7, 117239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133779008, 267558009, 401337008, 535116005?\nAnswer: 668895000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*u = 1699 - 3707 - 1541 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 539137970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2. Let w = -4 - v. Let j be (-297)\/(-4)*(-16)\/w. Calculate the greatest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 3) to base 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 25*p - 22. Calculate c(-25).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**3 + 18*j**2 + 9*j + 14. Let q = 4 + 2. Suppose -q*h = -5*h - 33. What is the remainder when h is divided by l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 23 = -u, -2*r = u - 0*r - 28. Calculate the smallest common multiple of u and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 + 3*j + 6. Let c(u) = u**3 - u - 3. Calculate -7*c(q) - 3*m(q).\nAnswer: 2*q**3 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4*-1)\/((-63)\/56).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 780232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 - 63. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796994906 to the power of 1\/2, to the nearest integer?\nAnswer: 28231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 - 76*t**2 - 28*t**2 + 17*t.\nAnswer: -116*t**2 + 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 3\/76, 0.1, -3\/5, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 3*a**2 - 125*a + 76. What is the hundreds digit of f(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333133 is divided by 190?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75444727, -75444728, -75444729, -75444730, -75444731, -75444732?\n\"Answer: -z - 75444726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14683375 divided by -25.\nAnswer: -587335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30152327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -0.727.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1 (c) 42570 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 2671, 4, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/149 and 1377\/34 + -2 - (-28)\/(-7).\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q - 2*q + 0*q)*(0*q - 4*q + 3*q) - 3*q**2 + 4*q**2 + q**2 - 10*q**2 + 0*q**2 + q**2)*(21 - 7*q - 21)*(-3*q**2 + q**2 + 10*q**2).\nAnswer: 280*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/197, 0.01, 0.2 in decreasing order.\nAnswer: 0.2, 0.01, -1\/197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3*b**5\/50 - b**4\/2 + 4*b**3\/5 + 21*b + 20. Let z(t) be the first derivative of g(t). Factor z(v).\nAnswer: 6*v*(v - 4)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 4*x**2 + x + 4. Let m be h(-5). Suppose 3*n - m = 9. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3811 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**5 + g**4 - 104*g**3 - 152*g + 34 wrt g.\nAnswer: -60*g**3 + 12*g**2 - 624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5661, 3, 220, 1 in ascending order.\nAnswer: 1, 3, 220, 5661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 23*s**2 + 129*s + 23. Let z be x(11). Let g(c) = 3*c**2 + 24*c - 12. Let i be g(z). What is the highest common factor of i and 1488?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = 22. Suppose 3*y - a = -2*h + 5, 2*h - y = 1. Suppose h*u + 2*o - 33 = u, 0 = -3*u + 5*o + 110. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*a + 5*i, -37*a + 5*i - 2*i = -45 + 449 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(153) + sqrt(153))*-5 - (sqrt(153) + (sqrt(153) + (-1*sqrt(153) - sqrt(153)) - sqrt(153))*-3))*5)\/((sqrt(162)*6)\/(sqrt(8)*3)).\nAnswer: -35*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**3*d*d**(-1))**32\/(d\/(d*d\/d**1)*d**(-7))**(3\/5) assuming d is positive.\nAnswer: d**(661\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246091691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -0.08. Let w = g - -6.95. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 7*q**2 - 7*q + 2. Let b be i(8). Suppose 2*u + b = 0, 0*u + 57 = 4*d - u. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 63878*d + 894284\/7.\nAnswer: 2*(d - 223571)*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*m + 484, -t + 36 = -3*m - 65. Let c = 119 - t. Suppose -8\/5*n - 28\/5*n**5 + 4*n**4 - 4*n**2 + 36\/5*n**c + 0 = 0. What is n?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.75348 centuries to millennia.\nAnswer: 7.975348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63.8 - 72. What is n rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 = 5. Suppose o - 1 - 13 = 0. Let q = o + -7. Let u(i) = 4*i**2 + i + 2. Let b(m) = 9*m**2 + 2*m + 5. Calculate q*u(x) + v*b(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 5. Let q be s(0). Let y(z) = 6*z**2 + 9. What is the hundreds digit of y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.0344795 to 0 dps.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26918*0.22\nAnswer: -5921.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 9*k + 134 = 24. Let s(u) be the first derivative of 3\/14*u**4 + 3\/35*u**k - 1\/7*u**3 + 0*u - 19 - 3\/7*u**2. What is o in s(o) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**4 - 20902*c**3 - 337*c**2 + 69*c + 2431395?\nAnswer: -60*c**2 - 125412*c - 674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1157 + 1714. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -675\/1793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*p + 3255 - 3254, 2*p = l - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + (9 + -78 - -14).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2. Let a(l) be the first derivative of -31*l**3\/3 + 42. Calculate a(k(q)).\nAnswer: -279*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-10) - 22308\/18590?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**5 + 9412*l**4 - 80*l - 878 wrt l.\nAnswer: 60*l**3 + 112944*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21942 + 38413. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*a - 534*a + 1173*a + 19*a**3.\nAnswer: 19*a**3 + 95*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, -3, 0 in increasing order.\nAnswer: -161, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 - 29?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w - 42*w = -11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, r: 2}. What is prob of picking 4 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/5)\/((-2)\/1*5\/(-20))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 greater than or equal to 1375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**21*o)\/o)\/o**(3\/8) assuming o is positive.\nAnswer: o**(165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -1245044543?\nAnswer: -1245044523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5388*d + 96990. Calculate v(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126211*g**4 + 211*g**3 + 3*g**2 - 2208247*g - 1.\nAnswer: -3029064*g + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26560 divided by -55505?\nAnswer: 5312\/11101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/2 - r**3\/3 + r - 1. Let g be l(1). What is the second derivative of -m**4 - g + 2 + 2*m wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 y when three letters picked without replacement from jkyjuccux?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/48 and -13\/90836286.\nAnswer: 726690288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 75\/8 (c) -3 (d) 4 (e) -1 (f) -13\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*x + 2 = 85*x. Is 3 a factor of x*((-2)\/8 - 364\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2184a7 (base 16) to base 2.\nAnswer: 1000011000010010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030332230 - -30?\nAnswer: 1030332320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-4 - 44\/(-10)). Let j be 1\/s*-4 - (-1 + -3). Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(567))**2 + 1*2*sqrt(7) + 3 - -1*(5 + (5 + 1 + sqrt(343))**2 + sqrt(343)).\nAnswer: 93*sqrt(7) + 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12 - 3 = 0. Let h(a) be the second derivative of -2*a**2 - 1\/4*a**4 - 2\/3*a**r + 0 + 1\/20*a**5 - a. Calculate h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*q = 2*q + 19, 5*q + 42 = 2*y. Calculate the remainder when 20 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/491? (a) -1\/4 (b) -1\/3 (c) 3\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2145 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**5 - 63*k**4\/2 - 39*k**3 = 0. What is k?\nAnswer: -13\/4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 6*n + 12. Let s be c(-6). Let y be (-7)\/(-2) - (-2)\/(s\/(-3)). Solve -r = -y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 1104*s**2 - 24612*s - 53664.\nAnswer: -3*(s - 344)*(s - 26)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/120)\/(-1*(-2)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w**3 - 13*w**2 + 2*w + 6. Is n(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114) - (sqrt(114) + -2*sqrt(114) + sqrt(114)))*-5)\/(sqrt(150) - sqrt(150)*-1*6) + 4.\nAnswer: -3*sqrt(19)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = o - 2*n, 2*o - 7 + 11 = -4*n for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 19*s = 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282371, -2258595, -7622611, -18068315, -35289603, -60980371, -96834515?\nAnswer: -144545931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 103*d - 213*d + 112*d - 7. Give c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.799999832 - 0.8. Round g to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86158619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c3a5a (base 15) in base 9?\nAnswer: 1144374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c = 19*c - 40 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -38*t**2 + 8*t + 69. Give g(4).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73301494111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p - 12. Let j(u) = u**3 + 10*u**2 + 12*u + 15. What is the remainder when j(-8) is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2344 and 103\/48638.\nAnswer: 194552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014771 rounded to 6 dps?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -807255*a + 574813 with respect to a.\nAnswer: -807255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10 = 6*b. Suppose -b*k + 70 = 2*n, 4*k - 44 = 4*n + 40. Suppose 2*t - 4*l = -2*l + 4, -3*t + 4*l = -3. Solve x - t*x = k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 2*u**3 - 102. Let i(f) = -12*f**2. Calculate i(k(t)).\nAnswer: -432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24363 (base 7) to base 2.\nAnswer: 1100011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - x + 8 = 0, -n = -6*n + 2*x + 23. Suppose -413 = 10*u - n*u. Let g = u - -198. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-18)*(-246)\/(-328)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 820406 - 20?\nAnswer: 820376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 8, c: 1, h: 1, s: 1, t: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x. Let d(o) be the third derivative of -o**5\/30 + 8*o**2. Determine d(l(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 162842803 a multiple of 1272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372b7 (base 12) to base 2.\nAnswer: 10010001111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4940?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 181 = 6*d. Let m(g) = -d*g**2 - 5 + 37*g**2 - 13*g**2 - 4*g. Give m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 7:17 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*m - 0*m + l, 4 = 2*m - 2*l. Suppose -i + m = i. Suppose 0*z = 2*z - 5*n + 15, 0 = i*n - 10. Solve -o + 5*s = -3*o - 18, z*s + 15 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 95\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214711, -3, 2 in increasing order.\nAnswer: -3, 2, 214711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.9. Let h = -0.07 + -2.93. Let p = h + 2.9. Which is the nearest to o? (a) -1\/8 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 224, 1138, 3140, 6620, 11968, 19574, 29828, 43120?\n\"Answer: 65*c**3 + 154*c**2 - 3*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4294573 is divided by 613503.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-2 + (-2 + 8 - 7). Let l(n) = -n**2 - 3*n + 9. Determine l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**3 - 7*v**2. Let t(u) = 4*u**2 - 5*u**3 + u**2 + 3*u**2 - 4*u**2. What is -3*a(f) - 5*t(f)?\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2227\/2988 + -7\/1494. What is the biggest value in p, 2, 0.4, -0.03, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 127412544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 512455 times -443?\nAnswer: -227017565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -92079 and 2.4?\nAnswer: 92081.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g + 2. Let r(f) = 1. Let z(d) = -2*d - 7. Let u(h) = 6*r(h) + z(h). Give -3*u(i) - 2*y(i).\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let r(m) = -9136*m. Calculate r(q(f)).\nAnswer: -9136*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 895295388.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 41 = q, q - 4*d = -q + 88. Find the third derivative of 5*p**2 + 45*p + 76*p**3 - q*p + 84*p**3 - 33*p**3 wrt p.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*p**3 - 22*p**2 - 1020*p.\nAnswer: 210*p - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/91 - (-24)\/(-42). Let q(s) be the second derivative of 0 + 5\/3*s**3 + 5*s + 1\/2*s**2. What is q(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 34\/75*q**4 - 97*q**2 + 31\/750*q**5 + 2*q - 1\/1500*q**6 + 28\/15*q**3 + 0. Solve y(w) = 0 for w.\nAnswer: -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -839*c + 2. Let h(n) = -n**2. Give f(h(g)).\nAnswer: 839*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6542398429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11108.24 - -11108. What is the closest to -3 in -0.3, 2, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -16*t + 14. Let p(g) = 18*g - 16. Let l(s) = 6*m(s) + 5*p(s). Let a(k) = 3*k - 2. What is 7*a(j) + 3*l(j)?\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/83199703 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200212 - 221012?\nAnswer: -2122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -216, -391, -730, -1287, -2116, -3271?\nAnswer: -4806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Suppose 2*k + 8 = 0, -2*z = -5*z - y*k - 7. Solve 0 = -3*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305597376 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16356667?\nAnswer: 29, 191, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvgbbbvbggbb. What is prob of picking 2 b?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 19*l - 40 = -2*p, -p - l = 1. Suppose 28 = -4*s - f, 4*s = 6*s - 3*f. What is the remainder when (-2)\/(s*1)*39 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190333 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 - 4 - 2) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/6 and -29\/252620.\nAnswer: 757860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*u - 3*u - 19*u - 4*u + 4*u - 2*u + (-3*u - 3*u + 4*u)*(2 - 2 + 2)*(-1 + 5 - 3).\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -43. Suppose 0*i + 324010 = 4*c - b*i, -i = -2*c + 162002. Round c to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1813167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7103233\/615562 - -3\/64796. Let b be (-105)\/28*(2 - ((-192)\/(-190) + 1)). Let r = f - b. Is 11 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27088504 + -12352366003\/456. Let r = 374\/57 + d. What is the common denominator of r and 43\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54098976 and 11.\nAnswer: 595088736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1505, 3020, 4537, 6056, 7577, 9100?\nAnswer: 10625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399867991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 9. Suppose 3*q = -19 - 14. Let x be d(q). Sort -5, 4, 2, x.\nAnswer: -5, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(28))**2 - (sqrt(84)*1)\/sqrt(12)) + 5.\nAnswer: -sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4067.036 days to microseconds.\nAnswer: 351391910400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -2973.\nAnswer: 4\/991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:30 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6028.8 and 8.\nAnswer: -48230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*s - 4. Suppose -4*r - s*q = -160, r + 73 = 3*r - 5*q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let y = 2242 - 2243.001. Let o = s - y. What is o rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1872*a - 613*a + 1640*a - 400*a = 69972 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -157, -300, -441?\n\"Answer: h**2 - 148*h + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 95634445750?\nAnswer: -95634445755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 882 + -884. Let u = -84 + 0. Is x\/(-12) - 2002\/u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 3 + -22 - -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/1*3\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, v: 3, f: 1, s: 1, q: 5}. What is prob of sequence qvvf?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2\/9, -508, 2, -1?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) -5\/86 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 4. Let n be l(-6). Let t be ((1 - 1) + 1)*n. Let c = -32 - t. What is the lowest common multiple of c and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2*d - 4*d + 0*d)*(0*d + 4*d + 0*d)*(2 + 8 - 3).\nAnswer: -112*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56*(-8)\/720)\/((-50)\/125).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2067934692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 8*f**4\/3 + 5*f**3\/6 + 7*f**2\/2 - f - 30. Let k(n) be the first derivative of a(n). What is the hundreds digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/5688 and 115\/2844.\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1478*z**4 - 81*z**2 + 56?\nAnswer: 35472*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 158 + 203 = 0. Let q be (-145)\/(-45) - (2 + 16\/g). Solve q = -3*r + w, r + 0 - 1 = w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 32 = -327. Let y = 121 - o. Let p = 130 - y. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = z + 2, 0 = -2*b + 935*z - 939*z - 8. Let p be (4\/(-3))\/(12\/(-18)). Solve -6*y + p*y - 8 = b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -22. Suppose -30 - 5 = 5*a. Sort 4, 5, g, a in descending order.\nAnswer: 5, 4, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 11*n)*(2*n + 0*n + n) + n**2 - n**2 - 3*n**2 as k*n + t + r*n**2 and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-13 - -2)) + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 266. What is the remainder when 664 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48231 + 77548. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 304*t**3 - 304*t**3 + 44*t**4 + (-2*t**3 - t**2 + t**2)*(4*t - 4*t + 4*t).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -331684748*g**3 - 23937589 wrt g.\nAnswer: -995054244*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 23 - 1. Suppose -h + 3*c + 3 = -0*h, -2*h + 6 = 4*c. Calculate the smallest common multiple of u and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-2*sqrt(11))*-1.\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 7*n**2 - 8*n - 4. Let m be a(-5). Calculate the remainder when (-1)\/(-2)*(m + 64) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16892812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 12:33 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 0.58?\nAnswer: -0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-1 - (-2 - -3)). Let o be 3\/(3 + (-3 - i)). Suppose 126 = -98*b + 119*b. Solve 3*f - o*n = -3, -f + n = b*n + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88830253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5809 (base 12) to base 13\nAnswer: 45cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40000 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1269\/(-2679))\/(15\/(-190))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3224 + 0.1124. Let o = k + 0.21. Let f = -5.2 - o. What is f rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o**3 + 4. Let a be y(3). Let m = a + -404. Let x(q) = -2*q - 2. Calculate x(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(2\/23))\/i*i**(-13)*i)\/((i\/(i*i**(-5\/6)\/i))\/(i*i**2\/i)))**(4\/23))**(-3\/17) assuming i is positive.\nAnswer: i**(3290\/8993)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 246*c + 4676. Let g be r(-19). Factor -5 - 1\/5*j**g + 2*j.\nAnswer: -(j - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2331644676 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1513*p + p**2 + 1518*p - 3031*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53776, 4, 3, -3, -1 in descending order.\nAnswer: 53776, 4, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57318733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-418)\/44 + (-1 - -7))*-2. Which is the nearest to -0.2? (a) q (b) -2 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - -26997?\nAnswer: 26a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23569 and 2646462?\nAnswer: 18525234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64700739*n**2 + 120742936 wrt n?\nAnswer: -129401478*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 8:12 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -7*p + 4*i + 242, p - 5*i = 77. Let q = -79 + 53. Let k = 43 + q. What is the remainder when p is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-8))\/(24\/(3 - 243)). Which is the closest to -3.2? (a) j (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 931, 944, 967, 1006, 1067, 1156?\n\"Answer: d**3 - d**2 + 9*d + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6431 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/24*(-10)\/(-3). Let j(x) = x**3 - 4*x**2 - 4*x - 6. What is j(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3346187*0.4.\nAnswer: 1338474.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 2*a)*(5*a + 1 + 0*a - a) + 2*a**2 + 5*a - 5*a.\nAnswer: 6*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (54\/10 - 12)\/((-3)\/1275)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/9 + 32*w**2\/9 - 2*w\/9 - 32\/9 = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 539 and 9.219537.\nAnswer: 548.219537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**2 + 3*p + 0*p + 3 + 4*p**2. Let m be -3 + (1 - (-4)\/(-2)). Is w(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2032926 divided by 42.\nAnswer: -48403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -4)*(-231)\/(-84). Solve -l = 3*s - x, 33 = 5*s - 0*s - 2*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.23 (b) -2\/411 (c) -0.5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 minus 268955185?\nAnswer: -268955185.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363679 is divided by 269?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -257, -555, -895, -1283, -1725, -2227?\n\"Answer: -k**3 - 15*k**2 - 246*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/55514 and -119\/18279000.\nAnswer: 749439000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1084448 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 1 (c) 1\/3 (d) 9 (e) 18\/5 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4129, 33056, 111579, 264496, 516605, 892704, 1417591, 2116064?\n\"Answer: 4133*m**3 - 4*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*36\/60 + -307. Suppose 0 = 5*a - c + 1517, a + 292 = c + 3*c. Is k not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11578398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 8. Let s be i(6). Let n = s - -20. Factor 0*b**2 + 0*b + n - 1\/6*b**4 + 1\/6*b**3.\nAnswer: -b**3*(b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0373667713 rounded to five dps?\nAnswer: -0.03737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g + 15*g - 30 - 144 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11743*s**3 + 1103*s**3 + 1707*s**3 - 6472*s**3.\nAnswer: -15405*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57081 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkkb when four letters picked without replacement from kqkb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 231 = 31*i. Let h(o) = -o**2 + 13*o. Give h(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-4) - 2) + 1\/1. Let b(n) = -n. Let m(j) = 21*j - 8. Let d(g) = w*m(g) - 5*b(g). Differentiate d(t) with respect to t.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 6 = 3*t - 12*z, 3*z - 1 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -4*t**2 + 16\/21*t**7 - 5\/6*t**4 - 8*t**3 + 0 + 2*t - 24\/5*t**6 + 89\/10*t**5. What is d in m(d) = 0?\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -37\/206 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 316.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k + 3. Let o be c(2). Put o, -2, -3 in descending order.\nAnswer: -2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82 + 11705*o - 3*o**4 + 8*o**2 - 11705*o wrt o?\nAnswer: -12*o**3 + 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -2\/55 (b) -3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Suppose 0 = p*m - 25 - 11. Suppose -24 = -20*q + 16*q. Solve t - m = -5*u, -3*t + 6 = -q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 61.951. Round a to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n - 3*n**3 + 8*n + 2*n**2 + n**3 to the form d*n**2 + k*n + w + t*n**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 + 2 = 0. Suppose u*k = 12*k - 8. What is the remainder when 6\/(-3) + (-17)\/(-1) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 + 28680*b**2 + 97860906*b - 35959488092 = 0. Calculate b.\nAnswer: -7337, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*k + 20 = 45, -2*r + 5 = -k. What is the greatest common factor of r and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -455612.\nAnswer: 2\/113903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**4 - h**4 - 3*h**4)*(-4 - 7 + 1 + 10 + 19215*h).\nAnswer: 38430*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16709\/1488)\/(-77)*90\/(-140).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12908 - -19390. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37539159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/10)\/((-41)\/205).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2 - 2)*(-j + 3*j - 4*j + 0 + 0 - 2*j + (0*j + 2*j - j)*(0 - 2 + 3) + 856 - 856 - 22*j).\nAnswer: 50*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -107 - 139. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-12)*1 - (-107)\/(-3). Let o = j - -36. Suppose d - 1 + o = 0. Which is greater: -6\/49 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 239*l**2 - 6*l + 2. Let w(q) = -478*q**2 + 14*q - 4. Let v(u) = -3*w(u) - 5*z(u). Let r be v(2). What is r rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69\/23 - (2 + -2214)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209388351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(135) - sqrt(15)) + sqrt(15))*3)\/(sqrt(245) - (-3*-2*sqrt(245) + sqrt(245))).\nAnswer: -3*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htkhtdtkhhk. What is prob of sequence ht?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32959 + 32974. Sort 1\/16, r, 0, -1 in descending order.\nAnswer: r, 1\/16, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.28 + -0.3. Let i = 33 - 33.28. Let z = i + m. Sort 2, -2\/3, z in ascending order.\nAnswer: -2\/3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by 43\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 122, 132, 144, 158, 174?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 16 = -2*h, 5 - 1 = 2*d - 2*h. Suppose 9 + 1 = -2*m, -d*f - m = 21. Let r be 6\/(-9) + (-8)\/6. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2. Let y(o) = 411*o - 6. Let v(m) = -60*m + 1. Let x(l) = -27*v(l) - 4*y(l). Give i(x(r)).\nAnswer: 1728*r**2 + 432*r + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/15 - (-1484)\/(-3). Let x = l + 496. Solve y + 3*y - 8 = x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001110000100101 (base 2) to base 9.\nAnswer: -560334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 5. Let s be a(0). Solve 3 = w + 3*r, r - 5 = -s*w + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 522489*l\/2 + 3657325.\nAnswer: (l + 14)*(l + 522475)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let d be (-6)\/(-8) + n\/2. Are -1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3992 or 148?\nAnswer: -1.3992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 11:50 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - -0.43. What is the nearest to h in -2, 3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 481.\nAnswer: 1\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 43628, -6, 2, -4\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 h when four letters picked without replacement from {h: 4, j: 8, m: 1}.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 5:40 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 times -900?\nAnswer: -99000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*63*(-112)\/630.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*a**3*x**2 - 19533*a**3*x - 240*a**3 - 2*a**2 - 5*x + 21219 wrt x?\nAnswer: -54*a**3*x - 19533*a**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*d = 10, 3*d - 5*d - 10 = -5*f. What is the third derivative of m**f - 35*m**3 + 27*m**3 + m**2 wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14250 and 255588.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -15*n - 2*f - 6, 0 = -4*n - f - 3. Factor 1\/4*k**3 - 1\/4*k**2 - 1\/4*k**5 + 1\/4*k**4 + 0*k + n.\nAnswer: -k**2*(k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 42?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 231*n. Let y be 2\/((-10)\/(-7) + (-87)\/203). Let g(b) = -b - 6*b + 0*b**2 + 7*b + 2*b**y. Calculate i(g(m)).\nAnswer: 462*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 116310 divided by 5?\nAnswer: 23262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -44. Let y = -61 - b. Calculate the remainder when ((-132)\/14)\/(1\/(-7)) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.8*260.\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 9*m**2 + 4*m + 4. Suppose 0 = -7*z + 3*z - 16. What are the prime factors of l(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 - 12 - -1*2. Let p(v) = 31*v**2 - 3*v + 4. Is p(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 12}. Give prob of sequence ou.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 42 - 8) + (-3 - -7).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 5*m**2 - 4*m + 7. Let n be 26\/6 - (-4)\/6. Give j(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 613*y**2 + 92*y - 8. Let s be u(-6). Calculate the greatest common factor of s and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwff when four letters picked without replacement from ffww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 0*u + 15 - 27 + 15 - u**3 - u. Let h be o(0). Is h equal to -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8692413.\nAnswer: 3, 23, 263, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1067.1 - -1067.0987299. Round f to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 136, 135, 134, 133, 132, 131?\n\"Answer: -z + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 3. Let i(u) = -2*u + 5. Let w be i(6). Let f be 1\/((-20)\/w + -3). List the prime factors of m(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -55\/2, 210, -2\/217, 0.1?\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 602 and 66?\nAnswer: 19866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(-1)*22\/(-11)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 4) to base 13.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/130809 and -1\/7.\nAnswer: 130809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Suppose -4*j = 2*z - 24, 2*j - 7*z = -s*z + 12. Solve 2*u = 5*u - j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2333174 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4864*h + 432882. What is x(-89)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.35*-0.331.\nAnswer: -1.77085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-15))\/(-1)*500\/300. Suppose 1 = y, 9 + 6 = 2*w + 5*y. Solve w*p + t = -24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 + w - 8. Let q be r(6). Let p(g) = -g**3 + 2*g**2 + 4*g + 2. Give p(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.868409 nanograms to tonnes.\nAnswer: 0.000000000000006868409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 2 (c) -4.5 (d) -248 (e) -0.1 (f) -20 (g) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18516 or 1\/253?\nAnswer: 1\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85690 or 85689?\nAnswer: 85690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3727689t in milligrams?\nAnswer: 372768900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/105 + (-50)\/(-7). Suppose 13 = -3*b - j, 2*b - 10*j = -z*j - 5. Let i(t) = t**2 - 9*t + 3. Let y be i(9). Sort y, -5, b in decreasing order.\nAnswer: y, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*g = 4, 3*h + 6 = -g + 2*g. Let s(f) = -f**2 + 16*f + 105. Let k be s(21). Sort 4\/3, 49, h, k in descending order.\nAnswer: 49, 4\/3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvvvvzzvvz. Give prob of picking 2 v.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + 9106c0?\nAnswer: 9106a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 + 198.24. What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44826319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 749*c**2 + 93 - 28055*c**2.\nAnswer: -27306*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1704\/287 + 15\/41. Suppose 2*b + 0 = 10. What is the common denominator of (-78)\/(-20)*b\/(-4) and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-2)*2\/1. Suppose -5*s + o - n = 0, 2*o + 5 = 2*s - 1. Let t = 2 + s. Solve -2*c + t*c + 2*r - 2 = 0, -35 = 5*c + 5*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1592*p**2 - 1194*p + 2388. Let o(m) = 2*m**2 + m - 2. Give -c(x) - 1194*o(x).\nAnswer: -796*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -103402 (base 5) to base 10\nAnswer: -3602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2676, -2689, -2702?\n\"Answer: -13*i - 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -12. Let p be 34\/3*w\/6. Let n = -550358 + 550363. Solve -3 - p = n*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*n - 536*n - 154 - 3574*n.\nAnswer: -3211*n - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5444 = 525*c - 529*c. List the prime factors of c.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 1\/4 (c) -1600 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/50, -5, 3, -1\/2, -1606 in decreasing order.\nAnswer: 3, -1\/50, -1\/2, -5, -1606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7065665*n + 4463948?\nAnswer: -7065665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/20 - 13*d**4\/12 - 25*d**3\/6 - 33*d**2\/2 - 15*d. Is h(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/((-414)\/(-8))*(-1020)\/136.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/954)\/(4 - 1020\/270)\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-5))\/1 + 6 - 5. Calculate the highest common divisor of 6 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (50\/(-12))\/((-3)\/18). Suppose 3*q = 4*q - 3*f, 0 = -3*q + 4*f + z. Suppose -17*a + q*a = -468. Calculate the highest common factor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 14, x: 1}. Give prob of picking 1 z and 1 x.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + 0 + 3*h - 2 - 2 + 2*h**4 - 2*h as l + u*h**3 + x*h**4 + p*h**2 + i*h and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1602029*h. Let w(n) = -13*n**2. Calculate d(w(z)).\nAnswer: 20826377*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r + 12. Let i be (-1 + 1 + r)*1. Find the common denominator of 37\/10 and 8\/i + 25\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126368539?\nAnswer: 11, 149, 77101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i + 51. Determine f(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*y - y**2 - 2 - 74978*y**3 + 74979*y**3 + y**2 as r + k*y + q*y**3 + a*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/4 + 3\/(-2). Let h(f) = -3 + 5*f**2 - 2 + f + 4 + f**3 - 4*f**y. Let d(n) = -3*n**3 - n**2 + n. Calculate d(q) + h(q).\nAnswer: -2*q**3 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*h**6 - 6*h**5 + h**3 - 557*h**2 - 7.\nAnswer: -13680*h**3 - 360*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**2 + 4*i**3 - 25*i**2 + 4*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 505010 rounded to the nearest one thousand?\nAnswer: 505000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - 0) - 0 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 13*h = -4, f - 6*h + 13 = -2*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 125638*z - 3518669. Give f(28).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2\/51515, -0.4 in decreasing order.\nAnswer: 14, 2\/51515, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2. Let l(m) = -300*m - 267. What is l(v(c))?\nAnswer: -2100*c**2 - 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -1\/12*n**4 + 0 - 7\/2*n**2 + n - n**3. Give x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 5. Let h be w(11). Solve 5*s - 16 = 5*a + 4, -5*a - h = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.87 + 9.87. Let o = 2\/51 + 47\/102. What is the closest to o in k, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 628 (base 11) to base 8\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*l + 2)*(-2 + 2 - 2*l + 2 + l - 2 + (-5 + 4 + 2)*(-2*l + 0*l + 0*l)) as i*l**2 + h*l + y and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 254662 - 5?\nAnswer: 254654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -2*q**3\/3 - 502. Let k(v) = 45*v + 6. Let p(x) = -180*x - 25. Let d(z) = 25*k(z) + 6*p(z). What is d(j(f))?\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (31 - -1) - -3?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134.6 + 398.6. What is the third biggest value in 2\/17, 3, -3, s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676287 = 40*c - 145*c + 3309477. What are the prime factors of c?\nAnswer: 2, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1160300 to the nearest 10000.\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 422 and 18012780?\nAnswer: 3800696580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/48 - 4\/6. Which is the biggest value? (a) -0.3 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -103, 32, 0, 4, 10.\nAnswer: -103, 0, 1, 4, 10, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*v = -20, -17*g - 127*v + 132*v = 48 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 64, 71, 82?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10))\/((-3)\/60). Let m(l) = 11*l - 14. Let v be (5 - 0)\/(6 + -7). Let h(y) = 7*y - 9. What is p*h(o) + v*m(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*t - 111520 = 161*t. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x**2 + 30*x - 696 = 0.\nAnswer: -4, 58\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4073512.\nAnswer: 1\/4073512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/116)\/((-224)\/(-3248)). Let u(s) be the third derivative of -3\/20*s**5 - 5\/2*s**3 + 0 + 0*s + 1\/40*s**6 - 36*s**2 - 9\/8*s**l. What is n in u(n) = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 418461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 672*y + 11479 + 76786 = 0. What is the remainder when 301 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.49 + -21.491. Let t = -15 - y. What is t rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = -0*a. Let h(g) = -2 + a*g - 2*g**3 - 3*g**3 + 1 + 6*g**3 - 4*g**2. Calculate h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -206949\nAnswer: 827796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10264 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2941?\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 6. Let r be 2\/(-6)*3\/v. Let b = -0.2 - 4.8. What is the closest to 1 in -1, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.52 + -0.1. Let s = 2.72 + l. Which is the closest to -0.1? (a) 2\/7 (b) -2\/23 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -801308 divided by 2458.\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + s - 16 - 27 + (2*s - 4 + 4)*(-1 + 3 + 0) as w*s + n and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 2. Let z be w(-8). Suppose -5*c + 2*q + 4 = -2, c - 4*q + z = 0. Suppose -2*v - c*v - d = -18, d + 7 = v. Solve v*o - 30 + 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1999\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 1. Suppose 3*h - 2*c = 16, 470*c - 468*c + 28 = 5*h. Let t(m) = -3*m**3 - m + 4. Determine h*a(v) + t(v).\nAnswer: -3*v**3 - 7*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 110?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/2)\/(u\/(u**(-2\/5)*u))*u**(-1\/8)*u**(-4) assuming u is positive.\nAnswer: u**(-201\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13049.\nAnswer: 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154638*b**2 + 154640*b**2 - 456604*b**2 + 147325*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 7*o + 26 + 18*o**2 - 7*o.\nAnswer: 18*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Let k = -58.2 + 58. What is the nearest to k in y, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 4*l**2 + 2*l + 3. Let u be w(2). Let p = u - 2. Solve 5*y = 5*o - 25, o + p = -5*y + y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 5*k**4\/12 + 2*k**3 - 2*k**2. Find the first derivative of m(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -123*f**3 + 12*f**2 + f + 7. Let u be o(-5). Let a = -10240 + u. Suppose 8*k - 11787 = a. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.59 and 571.385?\nAnswer: 337.11715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c + g + 145 = 0, -2*c - 55 = g. Let m = -3 - c. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 399387522198100.06999224 + -399387489891203. Let l = r + -32306895. Let u = 2.07 - l. Round u to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19e (base 15) to base 16.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 + 107 - 22*o - 104 as a + w*o and give a.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 - 1312*p**2 + 1721344*p + 4266. Factor i(v).\nAnswer: (v - 1312)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2924252 and 69106.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((1 - 0) + -5 + 2). Let t be (-7)\/3*1*r. Solve -u - t = -2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46440 divided by 11610.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -35*y**3 - 17. Let j(p) = -6*p**3 - 3. Let c(t) = 0*t**2 + t + 16 - 30 + t**2 + 12*t. Let v be c(-16). Calculate v*j(b) - 6*u(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.45 + -4.85. Let s(b) = b - 15. Let y be s(11). What is the biggest value in y, z, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -19, -5736?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 9*j + 85. Let n = 3240 + -3254. What is b(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4026 + -1158. List the prime factors of o.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84387, -168779, -253171, -337563, -421955, -506347?\nAnswer: -590739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 0, 87, 1.\nAnswer: 0, 1, 72, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0*w**2 + w**2)*(2 + 3 - 6) + 0*w**2 + 6*w**2 - 3*w**2 + (5*w**2 + 0*w**2 - 4*w**2)*((-1 + 2 + 1)*(1 + 0 + 2) + 1 + 5 + 8).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1142\/3997)\/((-15)\/14).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = p + 3, 866*c + 14 = 4*p + 863*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1341060 divided by -670530\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 4*l**2 + 5*l + 4. Let s be h(-3). Let j(d) = d. Let a(i) = i**2 + 5*i. What is s*a(w) + 10*j(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 36*k**2 + 34. Let s(w) = -9*w**2 - 8. Let t(x) = -2*i(x) - 9*s(x). Let j(v) = -v. Calculate j(t(r)).\nAnswer: -9*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 3*b - 5*b + 6*b**2 - 4*b**2.\nAnswer: 7*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, s: 1, w: 3, f: 3, u: 2}. What is prob of picking 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*o - 9. Let c(i) be the second derivative of 0 + i**2 - 1\/3*i**4 - 1\/20*i**5 + 2\/3*i**3 + 4*i. What is c(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i = -9*i - 90. Let z = 29 - 24. Sort -4, -6, i, z.\nAnswer: -6, -4, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-140)\/(-560))\/(-1 + 2). What is the nearest to z in -0.3, -0.4, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -148?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -k + 3*n, 5*k - 17 + 28 = -2*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83350 = 1895*p - 1900*p + 53560. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-4))\/(1 + -2). Let f(c) = 282*c - 424. Let h be f(6). What is the second derivative of 30*q**n - 9*q + 1268 - h wrt q?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973\/3602 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 57)\/(8*(-3)\/(-24)). Suppose -14*z + v = -6*z. Let x(p) = -p**3 + 13*p**2 + 8*p - 29. Is x(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*d**3 + 18*d + 99*d**4 + 24*d**2 - 107*d**4 + 34*d**3 + 2*d**5.\nAnswer: 2*d*(d - 3)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 4.9. Let w = -19.79 - -18.79. Which is the closest to -1\/3? (a) v (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/18361 and -103\/172.\nAnswer: 73444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 96 = -58*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = -2*g + 15*w, 0 = -g + 4*w + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -1406054.2391.\nAnswer: -1406049.2391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/3 - 58*s\/3 - 28\/3.\nAnswer: -2*(s + 14)*(2*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 10 = 5*z, -2*z + 3*z = -3*m + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -22\nAnswer: -63\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4258.954482 + 84.9546559. Let s = -4174 - z. What is s rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17 - -1) + 6 + (11 - 20) - 9) + -22.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (10 + -4) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 14*o**3\/3 + 5*o**2\/2 - 2*o - 1989. Let v(p) = 7*p**2 + 3*p - 1. Determine -3*l(k) + 5*v(k).\nAnswer: -7*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(18))*6 - sqrt(18)) + sqrt(54)\/(sqrt(3) - (sqrt(30)\/sqrt(10) - sqrt(3))))**2 + 2.\nAnswer: -216*sqrt(2) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = 17*f - 132748. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6951 to two dps.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*p + 294*p - 83*p + 55*p**3 - 109*p.\nAnswer: 55*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -w - 256, -5*w + w - 250 = u. Let z = 24506 - 24508. Sort u, z, -1 in descending order.\nAnswer: -1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72790000 rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b**1)\/b)*b\/b**10)**21)**(3\/10))**(-39) assuming b is positive.\nAnswer: b**(22113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6037 < -6038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 68*f + 1972. Determine r(89).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1595 + 1595.00004589. Round z to six dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5594 and 17452.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j + 2*j + j. Which is the nearest to 2\/5? (a) j (b) 1\/5 (c) 7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 4314079.\nAnswer: -4314077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -18*y + 669. Let c be d(37). Let u(q) be the first derivative of 7 + 2\/3*q**c + 50*q - 10*q**2. Factor u(n).\nAnswer: 2*(n - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2506789 litres in millilitres?\nAnswer: 250.6789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 + h + 11. Let i be p(0). Let v be (-4)\/(-2)*(-974)\/(-4). Suppose v - 3 = 4*g. Calculate the greatest common divisor of g and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4319123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 65 = -29. Let q(a) be the first derivative of a**3\/3 + 2*a**2 - 4*a - 2. List the prime factors of q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-12)\/20)\/((-12)\/(-15))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/10))\/((x\/x**(1\/5)*x)\/x))\/(x\/((x\/(x*x*x**(-6)\/x))\/x)*x\/x**1) assuming x is positive.\nAnswer: x**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -85+-3.337\nAnswer: -88.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1164 + 11689\/10. Calculate the common denominator of y and 0 - ((-1316)\/64)\/7.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/42, 1, 0.101, -4 in ascending order.\nAnswer: -4, 1\/42, 0.101, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 6*b - 11. Let h be j(8). Solve 4*s + 2*f - 11 = -h, -5*f = -15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111201 (base 3) in base 4?\nAnswer: 11302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/72 + 2158\/72. Let g = -30 + o. Let h = 332\/51 - 88\/17. What is the second smallest value in h, 2\/11, g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112562, -225123, -337684, -450245, -562806?\nAnswer: -675367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/116718 and -71\/307278.\nAnswer: 15056622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/7*14\/9\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 479872 less than 0.333599?\nAnswer: -479871.666401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 4, 2, -3, 28, 23 in decreasing order.\nAnswer: 28, 23, 4, 2, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.06, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + (-4904)\/120*3. Let j = t + 124. Let c be ((30\/24)\/5)\/((-2)\/(-5)). Which is bigger: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 647\/10. Let d = l - 1\/5. Let k = -1.8 - -2. What is the third smallest value in d, -4, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {o: 1, b: 4, m: 2, k: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 13*q - 24. Give z(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {u: 2, t: 1, q: 2, s: 1, p: 1, y: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 14*a**3\/3 - 13*a**2\/2 + 3. What is the second derivative of u(n) wrt n?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -852, -2384, -5312, -10086, -17156, -26972?\nAnswer: -39984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*1)\/(((-6)\/7)\/6*-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -975 and -1.202?\nAnswer: 1171.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117.4 + 113.4. What is the closest to 3\/7 in -0.5, h, -10, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 + (-16)\/(-99). Are 1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 10*z**2 + 11*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002533 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-4)*(-64)\/48. Suppose 2*y + 5*a = 2*a + 1231, 0 = k*y - 4*a - 1821. What is the remainder when y is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - ((-3 - 0) + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.2 + -4.2. Let k = 2 - 1. Which is the nearest to k? (a) m (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.74 - -1.44. Let g = 47.5 - 47. Which is the biggest value? (a) v (b) 2\/5 (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-26374000\nAnswer: -10549600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 12 = 12. Suppose -2*f - 3*h + 866 = u*f, -5*f - 2*h + 1079 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 54 - (-32 + (23 - -6) - (1 + -11))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 - -227.5. What is the closest to -97 in 3, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130.5 + 130.49999081. Round u to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18212 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:00 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -9*b**5\/20 + 2*b**2 - 5*b - 9. Let l(t) be the first derivative of f(t). What is the derivative of l(o) wrt o?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**4\/24 + 6*y**2. Let n(k) = -2*k + 2. Suppose 3 = -5*p - 2. Let o be 0 + 0 + p - 2. Give o*m(l) + n(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5 + 1 - 3 - 4*m. Let z = -8 + 5. Let p be 4*-2*z\/(-12). Let u(y) = -3*y + 2. Give p*a(f) + 3*u(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(10)\/sqrt(2) - sqrt(5)) + -1 - (sqrt(160)\/sqrt(4))\/sqrt(8)))**2 - (sqrt(180) + sqrt(180) + 2 - (3*(sqrt(5) + -1))**2).\nAnswer: 20*sqrt(5) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 - 8*t + 17. Let c be s(5). Suppose 4*l = 0, 2*l + c*l + 128 = 4*v. Calculate the remainder when v is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/24*(-8)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a**3 - 61*a**2 - 6810*a + 40457. Give b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/4 - 3) + -3. Let p = -19 + 324\/17. Is p > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 * 0.18.\nAnswer: 23.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(14)\/sqrt(2)) + 4 + 2 + -5*2*sqrt(5) - -3*((sqrt(80)*-5)**2 + -5)*5.\nAnswer: -9*sqrt(5) + 29931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*i = -61724 + 38876 for i.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + i - 1. Let z be f(-1). Suppose z = -0*q + q. What is the remainder when 11 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 115 = -4*b - q, -2*q + 30 = b. Let h be 21\/(-6)*(-144)\/b. What is the units digit of 232\/6*27\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {n: 2, b: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3794?\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**2 + 3*z**2 + 5*z**2 + 5*z**2 - 12151*z.\nAnswer: -z**2 - 12151*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 106. Let h(b) = 33*b - 7. Let x be h(j). Suppose 56*i = x*i - 189. Calculate the highest common divisor of 42 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-1)\/sqrt(11) + sqrt(17) + sqrt(34)\/(sqrt(8)\/sqrt(4)) + (sqrt(17) - (1 + sqrt(17)))*-2 + -1*sqrt(612))**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 1 - 1 + (-2*h + 5*h + 2*h)*(0 + 0 + h) - 4 + 4 - 2*h**2 + 2*h**2 + 4*h - 4*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 >= -0.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/15 + 2\/(-5). Let d = a - -5. Solve 24 + 1 = -d*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684986450.\nAnswer: 2, 5, 599, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + 2*sqrt(180)) - (sqrt(180) + 2 + 4 + -3))**2*-1 + -1.\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66.4 and 0.076.\nAnswer: -5.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 + 40*i**2 - i - 16. Determine g(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33831 = 3*u - 4*m, 3*m = 5*m + 6. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 33. Calculate h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 59 = 3*z, 3*z + 3*w - 61 = -2*w. Let q = -15 + z. Let n be q*(1 + (-4)\/(-8)). Solve -4*y = g - n, -g + 3*g - 6 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/((-12)\/9))\/(-1). Let z(b) = 45*b + 92. Let a(l) = 8*l + 18. Let i(k) = 11*a(k) - 2*z(k). Let v(t) = t + t - 5 - t. Determine h*i(u) + 8*v(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -5*l**4\/24 - 4*l**3 - 31*l**2 - 1. What is g(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Let g = 221 - 340. Is (g\/2)\/((-2)\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25 + -15*((-78)\/18 + 4). Suppose -3*q = -3*x + 12, 3*x - 16 = -a*q + 35*q. Factor -1\/2*k**3 - 9 - 21\/2*k - 4*k**x.\nAnswer: -(k + 2)*(k + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from nkynwykkynkkn?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2029 - 2017 = 0, 3*h - 3*f = 105 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.033 - 2.033. Let r = 8 - 7.8. Sort r, -0.5, 2\/7, b in decreasing order.\nAnswer: 2\/7, r, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 371, 3\/4, -0.2 in ascending order.\nAnswer: -0.4, -0.2, 3\/4, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and -26.7934420868.\nAnswer: -26.7534420868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2133 != 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177 - 169. Let w = -7.55 - -15. Let m = a - w. Round m to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 = -4. Suppose -1 = -w - 2*r, -w - r - 5 = -p. What is the remainder when (-6)\/27 - 587\/w is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10210330 - 2?\nAnswer: -10210332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwke when four letters picked without replacement from bkegwgbfk?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 8*q**2 + 7*q + 4. What are the prime factors of r(13)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18103288, 18103295, 18103302, 18103309, 18103316, 18103323?\n\"Answer: 7*x + 18103281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956672 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267953873?\nAnswer: 11, 73, 333691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 3*l - 6, l + 6 = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 323708 or 323723?\nAnswer: 323723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 47\/7 - (-2)\/7. Suppose -4*c = 828 - 2440. Suppose c = 4*s + 151. Calculate the highest common divisor of n and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 12:18 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 583 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 209 = 3*t - 62, -t + 85 = -5*v. What is the units digit of (-5*(-27)\/t)\/((-3)\/(-788))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-3) + 2 - 2. Suppose 32 = -s*l - 5*d, -3*l - 3*d = -0*l + 39. Let z(c) = 2*c**2 + 17*c + 25. Is z(l) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71*m**3 - 174 wrt m?\nAnswer: 213*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3527 + 3527 + 82*g + (2 - 10 + 1)*(-3 - 2*g + 3))*(-g + 4*g - 4*g).\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3048 and 20955.\nAnswer: 167640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 2*b + 8. Suppose -b*u - 3*n = n - 18, 4*u = 4*n + 12. Let l = u - 2. Solve l = -o - 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + 0*w - 4*w + 2 + w - 2 + (4*w - 4*w - 51*w)*(1 + 7 - 2) to t*w + i and give t.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -0.6, 0.4, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9022, 8873, 8724, 8575, 8426, 8277?\n\"Answer: -149*v + 9171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20213 (base 4) to base 6.\nAnswer: -2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 916.89358 rounded to the nearest ten?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33596*p*y**2 + 5*p*y + y**2 - 31*y + 1323 wrt p.\nAnswer: 33596*y**2 + 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 2. Let k(d) = -17*d + 15. Suppose -m - 5 = p, 2*p + p = 2*m - 15. Let l(h) = p*y(h) + k(h). Let v(o) = o**2. Calculate v(l(t)).\nAnswer: 4*t**2 - 20*t + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -293ac - -3?\nAnswer: -293a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*d = 21, 5*d + 9 = s + d. Let r be s\/6 - (-18)\/(-12). Sort -11, 4, r in ascending order.\nAnswer: -11, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1757 = 303*m + 9789 + 8968 + 3604 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 12. Suppose -d + w = -4*v - 2*d, -2*v + d = 2. Let p(u) = -2*u + 2. Let i(b) = 2*b - 3. Let n(f) = v*p(f) - 2*i(f). Let t(y) = -y. What is t(n(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 11 + 7)*(1 - 1 - 3*k) + (-2*k - 2*k + 2*k)*(-9 - 4 + 1) + 20 - k - 20 to q*k + t and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -2?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(0 - 2\/(-3)). Let m(n) = n**3 - 3*n**2 - 1. Let b be m(q). Let t(r) be the third derivative of -r**5\/60 - r**4\/4 - r**3 + 2*r**2. What is t(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a - 4*t, 3*a = 4*t - 0*t + 6. Suppose -d = 3*d + 20, 0 = 5*j - d - 25. Let y(c) = 2*c - 1 + j*c - 4*c + 2. Calculate y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 22034?\nAnswer: -22035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(65) + ((sqrt(65) - (sqrt(65) + (1*sqrt(65) - sqrt(65)))) + sqrt(65))*-6)\/((sqrt(50) - 1*sqrt(5000))\/(sqrt(80)\/(sqrt(16)\/sqrt(2)))).\nAnswer: 16*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and 7366896.\nAnswer: 7366896.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 20 + 5. Let y(n) = n**5 + n**4 - n. Let i(x) = -8*x**5 - 5*x**4 + 3*x. Let o(f) = w*y(f) - i(f). Find the second derivative of o(u) wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 7*j = 10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6)\/(-48)*22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 55.\nAnswer: 24310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)**(-2\/27))**(9\/5) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z = -252*z + 10683 + 3377 - 1432 for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47\/2 - 23. Let o be (-46)\/7 + (13 - 12). Let j = 337\/63 + o. Which is the smallest value? (a) 3\/8 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + 49*z**3 + 37 - 33371*z - 41*z**3 + 33370*z in the form s*z + w*z**2 + j*z**3 + n + k*z**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z**5\/2 + 348*z**4 + 5397*z**3\/2 + 7062*z**2 + 7842*z + 3120 = 0. What is z?\nAnswer: -2, -13\/7, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 7*d - 2*d)*(5 - 5 - 3*d) + 166*d - 166*d - 2*d**2 - 3 to the form j + h*d + u*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 + 56*p = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012 (base 6) in base 7?\nAnswer: -1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1836*n = -1843*n + 84. Let t(g) = -2*g - 7. Let s be t(-6). Solve -2*m + 6 + 2 = 0, -s*m = -2*f - n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29224 - -377?\nAnswer: -28958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {d: 1, q: 3, i: 3, v: 5, m: 6}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*(sqrt(176) - sqrt(44)) + sqrt(704)*-4))\/((-1*sqrt(576) + sqrt(36))*5).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j - 3*j)*(4 + 1 - 3) + 0*j + 5*j - 3*j - 3 + 3 - j - 20*j - 7*j + 7*j + (0 - j + 0)*(-3 + 0 + 1) + 6*j - 2*j - 3*j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*g + 25407 = 190*g - 423*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 85, 122, 145, 148, 125, 70, -23?\n\"Answer: -q**3 + 2*q**2 + 46*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f**2 + 67*f - 282. Give i(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-294126)\/(-99) + (-4)\/(-6). Let j = -2974 + z. Let k = -156\/19 + 2141\/152. Calculate the common denominator of k and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130820*m - 225942*m + 84868*m.\nAnswer: -271894*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1847*v**2 + 35074*v - 372. What is n(-19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -62.22. Let n = -0.22 + r. Which is bigger: -8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*j = 2*g - 549, -552 = -5*g + 4*j. Calculate the greatest common divisor of 135 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/16 and (-19)\/(-4) + (7 - 7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5776 = 5*y. Let t = 67864\/47 - y. Let p = t + 334\/611. Do 0 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + f - 46 = 6*f, 2*m + 3*f = -1. Let g(j) = -j**3 + 8*j**2 - 6*j + 3. Calculate the lowest common multiple of 20 and g(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 272 + 133 = 2*g, -403 = -2*g + 3*c. Suppose -4*j + 376 = -4*p, g = 2*j - 3*p + 4*p. What is the common denominator of (-1)\/4 - j\/196 and 52\/11?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 9. What is the smallest common multiple of 4 and i(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10352 (base 6) to base 10\nAnswer: -1436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/(-6) + 1\/2. Let b = l + -7. Let f(u) = -1. Let p(n) = n + 2 - 4*n + 2*n. Give b*p(y) - 2*f(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-3 + 1 + -3). Let l = -76 + w. Let m = l - -106. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwwcawafaaaaac. Give prob of sequence afa.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -45. Suppose -3*n = -2*z - 39, -z + 2*z + 3 = 0. Calculate the least common multiple of k and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 429*q**2 + 3*q + 4. What is the units digit of p(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 17 + 31. Let h(o) = -106*o**2 - 7*o - 41. Let v(t) = -71*t**2 - 5*t - 27. Let q(g) = p*v(g) + 5*h(g). Differentiate q(s) with respect to s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 6:01 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 + 70*t**3 + 120*t**2 = 0. Calculate t.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14746*k*w**2*x**2 - 2*k*w*x + 82*k*w + 25*k*x - 180*w**2*x**2 + 4*w*x**2 + 2*x + 2 wrt w.\nAnswer: 29492*k*x**2 - 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21659.3 * -0.02.\nAnswer: 433.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 224 - 291?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-292)\/(-10))\/(((-143)\/130 - -1)*-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + 3\/(-30)*2434. Let p = a + 448. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033 (base 5) to base 10.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:50 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 6*o + 4 + 0*o**2 - 3\/4*o**4 + 0*o**3. What is the first derivative of p(j) wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.85137 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8*16\/1536)\/(9\/24)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25065.\nAnswer: 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101001101101111 (base 2) to base 10.\nAnswer: -250735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-9000400)\/(-24))\/(-5))\/((-3)\/(-9)). What is i rounded to the nearest 1000?\nAnswer: -225000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3*a = 0. Suppose 3*w = -5*r + 97, -4*w - 7 + 23 = a. What is the remainder when 50 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5*a*a**(5\/11) assuming a is positive.\nAnswer: a**(71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3089\/11 + 281. Put -1\/9, p, -4\/19 in descending order.\nAnswer: p, -1\/9, -4\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81873\/13291 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -2655.9?\nAnswer: 1062.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 157*g - 637. Let p(b) = -8*b**2. Determine h(p(j)).\nAnswer: 64*j**4 + 1256*j**2 - 637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieuuqmmiiu. Give prob of sequence mem.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i - i + 4*i)*((4 - 2 - 1)*(-10 - 1 + 2)*(-i - 4*i + 6*i) + (-3 + 2 - 2)*(-85 - 12*i + 85)) as o*i**2 + l + z*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 2*n = -795. What are the prime factors of (n - 1)*45\/10?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - (-746)\/152)*-2. Is t greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -22*g - 13\/30*g**6 + 0*g**5 - 11\/6*g**3 + 0 + 0*g**4 + 0*g**2. Find the second derivative of r(m) wrt m.\nAnswer: -156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12445, -49731, -111843, -198775, -310521, -447075, -608431, -794583?\n\"Answer: b**3 - 12419*b**2 - 36*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -13*c**6\/2 - 13*c**4\/2 + 2149*c**3 + 3522. What is the third derivative of f(v) wrt v?\nAnswer: -2340*v**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5223674 litres to millilitres.\nAnswer: 522.3674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 + 43 + 500*y - 497*y - 2*y + y - y + (2 + 2 - 2)*(-10*y + y - 2*y).\nAnswer: -21*y + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10489, -78045, -190639, -348271, -550941, -798649, -1091395?\n\"Answer: -22519*g**2 + g + 12029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22480751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*a + 88, -1 = a - 5. Let j be -54*-12*(-6)\/u. What is the highest common divisor of 36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -3*(sqrt(84) - (sqrt(84) - (sqrt(84)*-3 - sqrt(84)))))\/sqrt(12).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 44*a**2 - 30*a**2 - 4*a.\nAnswer: -74*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4566, -4595, -4636, -4689, -4754, -4831, -4920?\nAnswer: -5021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/3 + 484*i**3\/3 - i**2 - 1454*i\/3 - 968\/3 = 0. Calculate i.\nAnswer: -484, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(-14)\/(-7)*(-222)\/111.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001148 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 3638a?\nAnswer: -36386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 884887339 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, 8 in descending order.\nAnswer: 8, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1766384 and -0.1.\nAnswer: 0.0766384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2268 is divided by 404?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377530699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27886, 25659, 21948, 16753, 10074, 1911, -7736?\n\"Answer: -742*v**2 - v + 28629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 434250052*d - 23571638457750338 = 0. What is d?\nAnswer: 108562513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9303938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 14*j + 49. Let t(x) = 3*x**2 + 28*x - 98. Suppose -u = 1, -u = -3*s + 7*s - 39. Let k(o) = s*y(o) + 4*t(o). Factor k(n).\nAnswer: 2*(n - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*q - 18, -12 = 2*h + 3*q - 37. Calculate the lowest common multiple of h and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786 a factor of 1124766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 748869\/28 + -26807. Let h = 465\/7 + p. What is the common denominator of h and 55\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7) - (sqrt(252) + 2 - sqrt(252)) - 2*sqrt(7)*2)**2*3.\nAnswer: 36*sqrt(7) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m*n*t + 17794*m*n - m - 233*n*t**2 + 14442*n*t + 295 wrt t.\nAnswer: -2*m*n - 466*n*t + 14442*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/25 - 84\/25. Let w = -83\/20 - p. Let g = -6 - -5. Which is the nearest to 2\/3? (a) g (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/5 + 5\/25. Let r be (-16)\/48 + 37\/v. Suppose -s = -r + 8. Solve s = 6*w - 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.3 (c) 0 (d) 0.053\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 7) + (-18)\/(-2). Solve q - o*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4, -611?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 19 = 4. Let i be (-310)\/(-18) - 14\/63. Let w be 5\/((-15)\/9) - (-8)\/1. Solve 0 = -w*x + v + i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*37114.\nAnswer: -44536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/17 and (-873)\/(-18) + -13 + -11.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104412308 - 104412309.51999877. Let m = 1.52 + k. What is m rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzs. Give prob of picking 1 z and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2*b + 12)*(-b - 3*b + 3*b) + (-2 + 2 - 1)*(-4*b**2 + 2*b**2 + 4*b**2).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -71 + 62 + -59.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 1 - 7)*(-2*n + 2*n + 2*n).\nAnswer: -52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o + 0*o**2 - 85 - 1\/3*o**3. Let t(u) = 6*u + 22. Calculate t(i(y)).\nAnswer: -6*y**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 2. Let u be c(2). Let b be (u\/16)\/((-2)\/8). Suppose v + 4 = b. Let f(q) = -q**3 - 4*q**2 - q - 2. What is f(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.80501l in millilitres?\nAnswer: 38805.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/12 + (-46)\/((-2024)\/33)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8436, 16875, 25314, 33753, 42192?\n\"Answer: 8439*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 - 2*t + 343.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -1.9. Let h = -2885 - -2884.8. Which is the second smallest value? (a) h (b) u (c) -0.5 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 408 = 414. Calculate the remainder when i is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:19 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*a = 2*i - 13, 5*i + a = -11. Let w(z) = -z**2 - 4*z - 2. Calculate w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.541, 0.5, -2.81, -1\/4 in increasing order.\nAnswer: -2.81, -1\/4, 0.5, 1.541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - y**3 + 3*y**3)*(440 + 579 + 672).\nAnswer: -1691*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-16)\/(-4) + -1). Let u = y + 42. Calculate the remainder when u is divided by (-12)\/84 - (-106)\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 370*k - 1. Let a(o) = 546*o**2. Give a(c(m)).\nAnswer: 74747400*m**2 - 404040*m + 546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 349 = -36. Let p = w - -88. Calculate the remainder when 76 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3838 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 227 - 51. Solve 4*q + i - v = 5*i, -3*i = 2*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n = 5 + 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**16\/i*i)**30 assuming i is positive.\nAnswer: i**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 97048181 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7852 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + x**3 - 28 + 3*x**2 + 20 + x**2 to m*x**2 + r*x**3 + y*x + p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*a - 81*a + 113*a)*(-19 - 62 - 5).\nAnswer: 1806*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*j - 259 - 266 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -19 - (-4 + 4 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20000 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 11)\/(3\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -655 minus -168.546?\nAnswer: -486.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -5, -18 in ascending order.\nAnswer: -18, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 3:23 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 + 79084 - 50*s**2 - 79082 + s**4 as r*s + h*s**2 + v + d*s**4 + c*s**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, i: 3}. What is prob of sequence sis?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/1*((-299)\/(-104))\/(-23) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s**2 + 12*s + 8. Let a(f) = -7*f**2 + 10*f + 8. Let n(y) = 4*a(y) - 3*c(y). Solve n(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162760663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 25610?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -35*n - 3*n**2 + 0 + 0*n**3 + 2\/5*n**5 + 0*n**4. Find the first derivative of f(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12297, 24580, 36863, 49146?\nAnswer: 61429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59605817 to the nearest integer?\nAnswer: 7720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 21*o - 23*o = 12, -s - 2*o - 15 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4026 times 0.07?\nAnswer: 281.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1366040 by 10.\nAnswer: -136604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q**4 + 8*q**3 - 18*q**2 + 18*q + 26. Let b(w) = -2*w**4 - w**3 + 2*w**2 - 2*w - 3. Let t(n) = 52*b(n) + 6*r(n). Suppose t(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, -212009\/4, 0.055, -2\/7 in increasing order.\nAnswer: -212009\/4, -6\/5, -2\/7, 0.055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlddknld. What is prob of sequence kddd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*u + 20, 8 = 3*k + 3*u - 22. Suppose 0 = 2*s - 17 - k. Let v be 12 + -9 - ((-12)\/3 - -1). What is the highest common factor of v and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-42) - 48\/(-21). Suppose 6*c - 5*c = z. Suppose 0 = 2*u - c, -5*u + 21 = s - 31. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*u - 6, 2*a - 5*u = 593 - 579. What is the third biggest value in -1\/4, a, 1\/8, 1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 65034*u**4 - 352516791*u**3 - 704838492*u**2 - 352386732*u = 0. Calculate u.\nAnswer: -10838, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r = 0. Suppose 0 = -r*u + 5*u. Let k(z) be the third derivative of -z**6\/120 - z**5\/60 + z**4\/24 - 5*z**3\/6 - 4*z**2. Determine k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 11*b. Let k(s) = -306*s. Determine z(k(y)).\nAnswer: -187272*y**2 + 3366*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -501.62 + 503. Which is the second biggest value? (a) -4 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -1\/12*p**4 + 1 + p - 3\/2*p**2 + 4\/3*p**3. Calculate r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-26)\/y**(-14)*(y*y**(3\/7)*y*y*y)\/y**19)**(2\/135) assuming y is positive.\nAnswer: y**(-124\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 3*v**3 + 1799*v**2 + 37*v - 1799*v**2.\nAnswer: -2*v**3 + 37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 15 = 4*v. Let i be ((-4)\/v)\/(4\/(-170)). Let t be -210*((-9706)\/276 + 35). Is i != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14171639, 28343273, 42514907, 56686541?\nAnswer: 70858175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 21. Let j be l(15). Let k(s) = 11*s**3 - 9*s**2 - 20*s - 9. Let t(p) = -5*p**3 + 4*p**2 + 9*p + 4. Let x(f) = j*t(f) + 4*k(f). Determine x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Let l = 125467\/6434 - 2\/3217. Let z = q + l. Find the common denominator of -5\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*f + 2132 = -27*f + 42*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 > 1332\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g + 2. Let j be m(2). What is the common denominator of 75\/2 and ((-42)\/(-2))\/(j - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 9*b**2 + 2*b + 9. Let k be w(9). Let l = -24 + k. Suppose z - 120 = -l*z. What is the greatest common divisor of z and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595 and 47462555?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4))**(-20)\/((r**(-1\/3)\/r)\/(r\/(r*r*r**(1\/5)*r)*r)) assuming r is positive.\nAnswer: r**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 20*h**5 - 336*h**4 - 1208*h**3 - 1408*h**2 - 636*h - 80 = 0.\nAnswer: -1, -1\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m. Let q(w) = -2*w + 621023. Determine n(q(p)).\nAnswer: 20*p - 6210230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 16*r - 25. Let l(p) = -p**2 - 4*p - 5. Determine h(u) + 3*l(u).\nAnswer: -u**2 + 4*u - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + i + i - 1)*(1173*i + 3375*i - 1165*i) to the form f*i + z + k*i**2 and give f.\nAnswer: -3383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let s(c) = c**3 + c**2 - 11*c - 11. Let o be s(-3). Let z be 6\/o + 4774\/4. Let k(y) = -1195 + 23*y + z. Give u(k(i)).\nAnswer: 529*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 4. Let a(j) = -j + 3. Let i(p) = -4*a(p) + 3*u(p). Let r = 8 - 8. Let g(f) = -f**2 + r*f**2 + 0 + 0. Give i(g(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g = 6. Let f be 3 + g\/(-3) - -32. Suppose f = 4*i - 2. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25660718 <= -25660717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000240751 rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 166110454 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5283.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1 - 3*y + 1 - 4*y**2 + 5*y**2. Let l be 4\/(8\/14) - -1. Does 21 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 8) to base 7.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -o + 2*r, 472*r = -3*o + 473*r + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/5 or 13?\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4126 - 4136. Which is smaller: -50 or b?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*c, -3*h - 43*c + 16 = -45*c. Let a = 6 - 8. Put 5, h, 13, a in decreasing order.\nAnswer: 13, 5, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924524033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785 - 1456*z**2 - 928*z**2 - 1559*z**2 - 1570 + 785.\nAnswer: -3943*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**4 + 3700*p**3 - 706160*p**2 + 7949760*p = 0.\nAnswer: 0, 12, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.301296 grams?\nAnswer: 3301.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 565286 - 7?\nAnswer: 565278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let g(z) = -z**2 + 11*z + 8. Let h be g(9). Let i = h + -24. Let t(f) = 7*f**2 + 8*f**2 + 22*f**2 - 12*f**i. Calculate w(t(r)).\nAnswer: 1250*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 19*z - 49*z + 32*z. Let y(i) = 4*i - 6*i + 5*i. Give s(y(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53042 and 484.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i - 1. Let p = -2 - i. Let l(o) = 29*o + 195. Let z be l(-7). Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 15?\nAnswer: 19\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 7*i + 23. Give n(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, t: 1, m: 3, s: 2, u: 1}. What is prob of sequence cst?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 + 9*i**3 + 5*i**3)*(123*i + i + 114*i) to the form z*i**3 + n*i**4 + c + f*i + b*i**2 and give n.\nAnswer: 2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h**2 - 6*h + 4. Give r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(2) - 2*sqrt(2))*-3)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3169.284 tonnes to micrograms.\nAnswer: 3169284000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 105709314 divided by -6\nAnswer: -17618219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -1\/120*u**6 + 10*u - 1\/4*u**4 + 0*u**3 - 1\/12*u**5 + 0 - 2*u**2. Determine r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -1, -20\/11, -2\/5, -12\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (9 - 7)) + 6 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/60 + (1 - 7\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2. Let q(j) = j**3 + 10*j**2 + 5. Let b be q(-10). Let k(g) = b*g + g + 2*g. Give c(k(w)).\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-36))\/((-12)\/(-4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - (-2 - 16854\/(-4)). Let t be 4 + -7 - 12526\/y. Let k = t - -7\/162. Is k not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.882187 centimeters in micrometers?\nAnswer: 98821.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 8*y**2 + 5276*y - 31146. What is s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31635654 and 1624062.\nAnswer: 13422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = c - 14. Solve -c*q - u - 10 = 0, -q - u = -0*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/25960 and -49\/457840?\nAnswer: 5036240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25121910439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55782346 to the power of 1\/2, to the nearest integer?\nAnswer: 7469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 14*m + 1. What is the remainder when 16\/((-56)\/20 - -3) is divided by y(10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 138, 2, -59, -5, 1, 12 in decreasing order.\nAnswer: 138, 12, 5, 2, 1, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17334229 and 7.\nAnswer: 121339603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5257532039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 111111110122 (base 3) to base 13\nAnswer: 93c23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465614436.\nAnswer: 2, 3, 7, 5543029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 62507370?\nAnswer: -1062625290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1488*p**5 + 4*p**4 + 12*p**2 + 3*p - 51?\nAnswer: 89280*p**2 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/23 + 17\/69. Which is the second biggest value? (a) 13 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z - 37 = -37 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -916914 or -127?\nAnswer: -916914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = 14. Suppose 0 = -z*r + r + 156. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 3, -372, 1, -3, 6.\nAnswer: -372, -6, -4, -3, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*u + 27*u + 27*u + 26*u + 35*u + 22*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, 1 z, and 1 s when four letters picked without replacement from {z: 2, d: 1, s: 2, m: 2, y: 1, a: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 + 4*x**3 - 4*x**2 - 2*x - 3*x - 3*x + 4*x**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 32.1. What is the smallest value in -0.2, 5\/3, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97021939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 50 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37333 + -678.\nAnswer: 36655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t**3 + 2*t**2 - 4*t + 3. Suppose 0 = -31*k + 22*k + 9. Does 16 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 2:49 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 3479*q**5\/20 - 6*q**3 - 15*q**2\/2 - 23*q - 11. Find the second derivative of h(a) wrt a.\nAnswer: 20874*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*m - 174*m - 12984. What are the prime factors of m?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/22717330 and 19\/13782.\nAnswer: 68151990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011000110010010000011 (base 2) in base 14?\nAnswer: 20b3bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.058 - 0.185. Let r = -0.08 - m. Let d = -0.367 + r. What is d rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16084\/9 - -1788. Let z(n) be the first derivative of 4\/9*n**2 - 2\/9*n**4 - 3 - y*n + 2\/9*n**3 + 2\/45*n**5. Factor z(j).\nAnswer: 2*(j - 2)**2*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r**3 - 16*r**2 + r + 2. Let q be t(-2). Solve q*k - 29 = 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -226 - 3387*c + 280 + 3386*c. What is n(-13)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1068 by -3.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 111813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(147)*3*-6*2.\nAnswer: 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -126. What are the prime factors of (s - -15 - 3)*(-4)\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*n - 12, -5*n + d = -36 + 3. Let i be (n\/(-14))\/(3\/(-21)). Solve c + 11 = 3*y, 0 = -c - i*c + y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 208909550 to the nearest 100000.\nAnswer: 208900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 1123585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Suppose -5*t - 6 = -3*t. Suppose -9*l = -11*l + 42. Let d(w) = 8*w + 7. Let q(j) = l*p(j) + t*d(j). Let z(o) = o**2. What is q(z(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0)**2 + -4.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1038 and 54.\nAnswer: 9342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)\/j*(j\/(j\/j**(-4\/13)))\/j)\/(((j\/(j\/j**(-4)*j))\/j*j)\/j**(-11\/3)) assuming j is positive.\nAnswer: j**(-229\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**3 - 17*w**2 + 6*w - 9. Let l = -2840 + 2823. Let h(s) = -2*s**3 + 6*s**2 - 2*s + 3. Determine l*h(q) - 6*x(q).\nAnswer: -2*q**3 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-36)*(-36)\/240*444*(-4)\/(-1).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 1 + 4*k**2 - 2*k**2. Let w(p) = -p**2 - 1. Suppose 5*f + 3*m = -2*m - 25, 0 = -3*m - 6. Let x(i) = f*a(i) - 2*w(i). Give x(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 + -151?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 1. Let y be i(1). Let f = -107 - -961\/9. What is the third smallest value in -0.5, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzsd when four letters picked without replacement from yzzyodssdolysozz.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/60)\/((-5)\/(-4750946)). Let d = f - -47511. Let x = d + -1\/25. Which is smaller: -0.8 or x?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 + (-370)\/34 - 378665\/(-85) and 72?\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p + 3*p. Let t be (3\/(-1)*p)\/((-15)\/(-20)). Solve 3*u - 12 = -u - 4*m, 4*u - t*m = -28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/14 - -5 - (-13)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0 + (0 - 4 + 2)*(-3 + 8 + 4))*(a + a + 0*a + (-1 + 0 + 3)*(3 + 2*a - 3) - 5*a + a + 5*a + 2*a - a + 2*a).\nAnswer: -190*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -566*y**2 - 2. Let n(i) = -i. Calculate n(q(u)).\nAnswer: 566*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f. Let d be t(-1). Suppose d = 2*r - 3*s + 4, s = -5*r + 12. Suppose i = 6*i + z - 15, -r*z + 9 = 3*i. Solve -4*j + i*j + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*s**3 - 26280*s**2 - 13155*s - 1645.\nAnswer: 5*(s - 329)*(4*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - 8*h**2 - 10664*h**3.\nAnswer: -10664*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/13 or 3360038?\nAnswer: -48\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 1. List the prime factors of f(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12196\/399 - -588\/19. Is b greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 18*q - 5 - 17*q in the form r*q + d and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/6)\/((-4)\/12). Let t(r) = -r**2 - 5*r + 5. Let x be t(f). Suppose 0 = 5*s - x*w - 187 - 88, -3*s - 3*w + 153 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 3*k**4 - k**4)*(-41 - 110 + 1)*(3 - 26 - 10 - 18).\nAnswer: 7650*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4906198 divided by 22.\nAnswer: 223009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 22*l + 11. Determine a(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j. Suppose 3*s - 2 = 1. Suppose -2*m = -1 - s. Let c be u(m). Sort c, -2, 3.\nAnswer: c, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 - 0 - (4 - -9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 446, 986, 1742, 2714?\nAnswer: 3902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20220122020 (base 3) in base 12?\nAnswer: -668a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/12)\/k)\/(k\/k**(-22)) assuming k is positive.\nAnswer: k**(-289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 391049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a decade in months?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 - (0 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + -1 - -59 - 46) + 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**2 + 2*b**2 + 3*b**2 + (-10782*b + 21268*b - 10983*b)*(-b - 5*b + 2*b).\nAnswer: 1986*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3153, 6325, 9497, 12669, 15841?\nAnswer: 19013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 826 - 238. Is v a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/5*k**4 - 6\/5*k**2 + 0 + 37\/5*k**3 + 0*k.\nAnswer: -k**2*(7*k - 2)*(8*k - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, 1, 5 in ascending order.\nAnswer: 0, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21515.903492 + 21516. Let l = -0.1565108 + b. Let v = l - -0.06. What is v rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**30*c*c\/c**(-2\/3))\/(c\/(c**(-8)*c))**(-33))**(1\/39) assuming c is positive.\nAnswer: c**(890\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21910189 divided by 3130027.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 415163 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1435\/17204 + 1\/12903. Suppose 0 = x + 2*x + 2*k + 3, x + 3*k = 6. Which is the fourth biggest value? (a) y (b) 0.5 (c) x (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-2759)\/(-465))*-21.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 13 - 2. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 375\/(-12) - (-2)\/8. Let g(j) = -7*j + 28. Let u be g(12). Let o = x - u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*o - a - 8, -o - 3*a + 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -109. Suppose f - 12 = 18. Is (48\/9)\/(q\/f + 2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -6, -8, -10, -12, -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*h - 38*h - 42*h - 35*h - 277*h**2 + (0*h + h + 0*h)*(h + 3 - 3) in the form d*h**2 + f*h + m and give d.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*p - 8, 0 = 58*a - 59*a + 2*p + 17 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-16)*(-1938)\/9. Let c = -233 - o. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:43 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476900611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -19. Let m be (5 + l\/(-3))*-72. What is the highest common divisor of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 729*d**4\/5 - 5886*d**3\/5 + 12097*d**2\/5 - 872*d\/5 + 16\/5 = 0. What is d?\nAnswer: 1\/27, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15\/o**(10\/11)*((o\/(o*o\/(o*o**(-1\/4)\/o)*o*o))\/o)\/((o\/o**(-10))\/o))**(2\/3) assuming o is positive.\nAnswer: o**(-7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -128 + 49*u - 229\/2*u**2. Find the first derivative of s(w) wrt w.\nAnswer: -229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 699*a**4 + 656*a + 10. Let s(d) = 700*d**4 + 657*d + 8. Let k(w) = 3*m(w) - 4*s(w). Find the second derivative of k(j) wrt j.\nAnswer: -8436*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 + 13*f - 17. Let y(k) = -7*k**2 - 26*k + 33. Suppose -16*h = -126 - 34. Let o(v) = h*n(v) + 6*y(v). Factor o(m).\nAnswer: -2*(m - 1)*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 24*w**2 - 343*w - 27. Determine d(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*h**3 + 60266*h - 22603 wrt h.\nAnswer: 78*h**2 + 60266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = -183. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2ed2 (base 16) to base 13\nAnswer: -55c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 0 = -3*f, 3*f + 39 = -5*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-130)\/(-40))\/((-1)\/(-8)). Let y = j - 25. List the prime factors of (150\/(-40))\/(y\/(-8)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121 + 169. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/1 + (-36)\/126 + 26 + -16?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 1. Let i be s(-6). Suppose -11 = -2*c - i. Suppose 4*r + 2 = -d, 5*d - c*r - 46 = 59. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, 0.4, 232, -0.3, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*c = -x + 46, 19*x - 23*x + 24 = 2*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1612*u**2 - 12167*u - 41717801 wrt u?\nAnswer: 3224*u - 12167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 + 197. Let t = -46645.0022 - -46674. Let i = t - o. What is i rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuufeueef. Give prob of picking 1 u, 1 f, and 1 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31940*f*x**3 + 2*x**3 - 1875 with respect to f.\nAnswer: -31940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 644383541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/9, -3, -2, -1, 78 in descending order.\nAnswer: 78, 7, 2\/9, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 3*v**2 + 2*v - 2. Let g be o(4). Let d be ((-496)\/(-10))\/((-2)\/g). Let k = -805 - -836. Calculate the highest common factor of k and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2484*a**3 + 782*a**3 + 849*a**3.\nAnswer: -853*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1373352 + 1373360. Suppose -16 + 70\/3*b + 2\/3*b**3 - w*b**2 = 0. Calculate b.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 12*c**2 - 8*c + 19. Is 12 a factor of l(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 9*u - 3. Let c = -64 + 56. Let y be l(c). Solve 2*m + 4 = 2*w, w - 6 = -2*m + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r, -3*x - 3*r + 4*r + 78 = 0. Is 24058 - -5*x\/45 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -113*d**2. Let x(i) be the first derivative of i**3\/3 + 13. Determine x(m(t)).\nAnswer: 12769*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 33321*m**4 + 5 + 2220*m**4)*(m - 1 + 1).\nAnswer: 35541*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:17 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 10:55 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 8. Let n be u(-6). Let h = n + 4. Calculate the greatest common factor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11320 + 3?\nAnswer: -11313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + 294\/(-24) + 5. Which is the nearest to 19? (a) -4\/5 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9394300 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.05, -1\/5, -1\/9 in increasing order.\nAnswer: -0.3, -1\/5, -1\/9, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 65 = -5*t + 370, 3*f - 5*t + 187 = 0. Round f to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j - 8 + 10*j + 11 - 3. Let y(m) = -88*m**2. Determine y(k(x)).\nAnswer: -352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 239719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361 + -337. Let p be (-10)\/3*(-21)\/14. Suppose 0*t + t - 2 = -p*q, -2 = -t - 2*q. Solve -2*n = 3*s + 3, -4*n + 2*s = -t*s - o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 35786\/1692 - -2. Let i = n - -7\/423. Let w = 3195 + -22315\/7. Find the common denominator of w and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 36?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y + 263. Let a be (-19 + 8 + 12)*-54. Calculate c(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2961*l**2 + 1121*l**2 + 1266*l**2 + 1137*l**2 to the form w*l**2 + j*l + b and give w.\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.6025 nanograms in tonnes?\nAnswer: 0.0000000000002376025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - s + 2*s)*(3 - 4 + 3)*((3 - 1 - 3)*(-2 + 5 - 2) - 932 - 876 + 2180) to the form j + b*s and give b.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -95. Suppose y*v - 1312 = -319. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, g: 3, n: 3, h: 4, w: 3}. What is prob of picking 1 h and 1 n?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuumm. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -89. Suppose 177 = w*r + 37. Calculate the highest common factor of 245 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12780 divided by -6?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2. Let v(k) be the third derivative of -k**6\/90 - 2*k**3\/3 + 2*k**2. Let f(d) be the first derivative of v(d). Determine a(f(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809*s**2 + s**3 + 727*s**2 + 119*s**2 + 212*s**2 + 191*s**2.\nAnswer: s**3 + 2058*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 850\/(-144) + 16\/(-72) and -71\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**3 - 114*h**2 + 765*h - 1188 = 0.\nAnswer: -44, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -41 (b) -3\/8 (c) 0.87 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280616*m - 80 = 280608*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 214381 and -39?\nAnswer: -8360859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -7. Let j = 7.1 + -7.03. Let x = 0.17 - j. Sort x, r, -0.1, -4\/3 in ascending order.\nAnswer: r, -4\/3, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-30))\/((-1)\/(-2)). What is the nearest to p in 1, 0.5, -2\/31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3149 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 239 - -5394?\nAnswer: 5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x - 3*x - x)*(3 - 3 + 3*x) - 5*x**2 - 1 + 1 as l*x + u + j*x**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/(-9))\/(-7))\/(5*4\/(-300))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -217 - -0.547.\nAnswer: -216.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 7. Let p(g) = -9*g - 21. Give 17*b(l) + 6*p(l).\nAnswer: -3*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**2 + 15*j - 3. Let b be l(3). Let s be b + (2 - -5) + -1. Let o(n) = 0*n**2 - 2*n**2 - 1 + 0 + n + n**3. Give o(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*g + 6 = -54, -y - 5*g = 5. Let v = y + -6. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-36)*18)\/(-7).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Let n(w) = -w**3 + 6*w**2 + 8*w - 3. Let b be n(7). Suppose -b*y = i*g - 53, 5*y - g = 4*g + 55. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 362481 = 5*u, 75800 = 3*u + 3*n - 141694. What are the prime factors of u?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/12 - 170062862\/(-12). Let m = k - 6071905. Round m to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -199270 + 295530. What are the prime factors of m?\nAnswer: 2, 5, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/20*4 - (-1180)\/1350.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5\/17, 2\/17, 1, -4 in ascending order.\nAnswer: -4, -5\/17, 2\/17, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167965*q - 2842 = 1167916*q for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7 and 76\/11247.\nAnswer: 11247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1210 + 1194 = 0. Let u = t + 54. What is the remainder when u is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6159 or -6160?\nAnswer: -6160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1674\/217*14\/4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 <= -2\/1717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/64 - ((-5)\/(-10))\/1)*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100974\/(-16829))\/((-2)\/(86\/3))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 16 - 3)*(0 - 3*x + 0).\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-4))\/(15\/320). Which is bigger: 79 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 872936.5 years in millennia?\nAnswer: 872.9365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 160844156.\nAnswer: 48253246.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*w**2 + 7*w - 18*w - 29*w - 7*w wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*j - j**3 + 37*j - 15*j**2 - 52*j + 280 + 96*j.\nAnswer: -(j - 7)*(j + 2)*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -27. Suppose 1 = -3*m + c. Suppose g - 5*w - 41 = 0, -54 = -4*g + 2*w - 4*w. Solve g = m*r + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854.189 centuries in months?\nAnswer: 4625026.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**2 - 7*d - 6. Let w(r) = -108*r + 2. Let l(o) = 59*o - 1. Let q(z) = 11*l(z) + 6*w(z). Calculate b(a) + 6*q(a).\nAnswer: 8*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.6 - 10. Sort -4\/3, 5, q, -5 in increasing order.\nAnswer: -5, -4\/3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 129 + 177 = 0. Let b = p + 51. Suppose -3*r - 12 = b, 7 = -5*o - 4*r + 501. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10142 and 1606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1251 - 0.13951. What is m rounded to four decimal places?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120, 128, 148, 186, 248, 340?\n\"Answer: z**3 + z + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1. Let k(u) = -2*u - 12. Calculate k(b) - z(b).\nAnswer: -2*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/18*8 + (-52)\/(-12). Let 0*r - 26\/7*r**n + 0 - 6\/7*r**2 - 8\/7*r**4 = 0. Calculate r.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(144)*-1 - sqrt(144))*-2)\/(-2*sqrt(288)*6))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97697664 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 5251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17*r - 71. Let k be n(4). What is the fourth biggest value in 1\/8, k, 4, 2.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2. Let k(u) = 5*u**2 + 5. Let j(a) = -1. Let v(p) = -2*j(p) - k(p). Let z(q) be the first derivative of v(q). Calculate b(z(s)).\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1494*u. Let x(v) = 5*v**2 - 3*v + 22. What is x(i(w))?\nAnswer: 11160180*w**2 - 4482*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/((-1)\/(-64)*4). Let o(p) = 11 - 12*p - p**3 - 2*p**2 + 2*p**3 - 4*p**2. Is o(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -37*p**3 - p**2. Suppose 2*a + 6 = 4. Let g be y(a). What is the units digit of 8\/g + 266\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2*21\/(-42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -163470 (base 9) to base 7\nAnswer: -600300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 7:57 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:10 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (6 - 2 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3786, -3856, -3924, -3990, -4054, -4116, -4176?\nAnswer: -4234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/970 and 69\/2134?\nAnswer: 10670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - 2*k - 52, -3*b + 48 = 3*k. Let u = -17 + b. Factor -39 - u*s**2 + 39 - 8*s.\nAnswer: -4*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452 by 2.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 18 = -u, -2*u + 17013*l = 17014*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1495168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1505*q = 1870*q + 1766 - 9431 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 15 - 25. Let j be 2042\/(-8) + (-2)\/(-8). What is the units digit of (-10)\/(3\/(j\/i))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 + -0.51. Let u = g - -0.2500152. What is u rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 2:10 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x**3 + 1 + 1 + 27*x**2 - 4 - 2 + 2 to a + f*x**3 + s*x**2 + o*x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 804327341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 2, h: 2}. What is prob of sequence gh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 2. Let r be g(-5). Let n = r - -15. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189940 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 745\nAnswer: 4\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141901679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745*w**2 - 70*w**3 + 718*w**2 - 1464*w**2 - 64*w**3.\nAnswer: -134*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1118*w**2 + 3*w + 35. Is n(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*(sqrt(21)\/sqrt(3) + -5) - (-1 + sqrt(847))*6))**2.\nAnswer: -1340*sqrt(7) + 31523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v + 7*v + 2*v)*(3*v - 4*v - v + (2*v - 2*v + 2*v)*(0 + 0 + 1)*(7 - 9 - 13)) to s + b*v + j*v**2 and give j.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(-6*(-4 + sqrt(19) - sqrt(19)) + 5) + 0).\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(432) + -1).\nAnswer: -5 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 741 + -23. Let x = -359 + p. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 846? (a) -32 (b) -5 (c) -4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11823.\nAnswer: 3, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/41)\/r)\/(r\/(r*r**(-15)*r)) assuming r is positive.\nAnswer: r**(-614\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/29)*q**(2\/5))\/(q**(-4\/11)\/q**6) assuming q is positive.\nAnswer: q**(12493\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11488*r - 11502*r + 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94.0448455 - -4.\nAnswer: -90.0448455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 22 = f, -2*f + 2*k + 1 = 3*k. Let c(v) = -9*v**2 + 7*v. Let n(p) = -4*p**2 + 3*p. What is f*c(q) - 7*n(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqgg when four letters picked without replacement from {g: 3, b: 7, q: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 34*r**2 - r + 42. What is the least common multiple of d(-34) and 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.008 (b) -2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 2*m**2 - 2*m**2 + 0*m**2 - m**2 - m**2 + (2 - m - 2)*(m + 4*m - 6*m) + m**2 - m**2 + m**2 + (m + 0 + 0)*(-4*m + m + 2*m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = f - 6*f + 540, -5*p - 126 = -f. Calculate the remainder when f is divided by 105.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*p - 8, 10 = -2*c - 3*c + 4*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/212459?\nAnswer: -6\/212459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491198.58 milliseconds in hours?\nAnswer: 0.13644405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 427*o**2 + 94*o + 40146. Calculate b(-427).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 178013892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61307107 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31741 + 3466?\nAnswer: 35427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(0\/6 + 25). Suppose u - 915 = -5*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 367592342*i**4 + 110145087*i**2?\nAnswer: 8822216208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/24 + f**5\/10 + f**4\/4 + 15*f**2. Let h(r) = r**3 + r**2 + r. Determine 6*h(b) - m(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1984, -3970, -5958, -7948, -9940, -11934?\nAnswer: -13930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6495 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.69 minus 9?\nAnswer: -56.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = 0. Suppose -7*m + 9*m = w. Solve m = -0*b - 2*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 10723480 - 10723480.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-7))\/3)\/(38\/(-19)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikiki. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513389506 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19688, 39378, 59068, 78758, 98448?\nAnswer: 118138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 3. Let c be m(4). Let s(d) = -4*d + 0*d - 7 - 6*d**2 + 6*d**2 - d**3 - 6*d**2. Let x be s(c). Calculate the highest common divisor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*z - 378 = -112*z. Solve z*i - 70*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 14976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9859 - -9954. Let a = -30 + 68. What is the greatest common factor of s and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 * 2044.\nAnswer: -153300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u + 12. Let h = -8 - u. Suppose -h*y = 175 - 803. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.750527 rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/65 - -2)\/((-1)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 278, 575, 886, 1217, 1574?\n\"Answer: w**3 + w**2 + 287*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 + 1)*(-2 - 1 + 1) - 2 + 0 + 3 + (4 + 1 - 4)*(-4 + 2 + 1) + (2 + 1 - 2)*(2 + 4 - 1))*(-11*l + 8*l + 10*l) to p*l + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 111?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*(y**(-1)*y)\/y*y)\/y*y)**(7\/6))**(-21)*(y**(1\/10)*(y*y**(3\/7))\/y)\/(((y\/((y*y*y**(1\/4)*y)\/y*y*y))\/y)\/y**(-6)) assuming y is positive.\nAnswer: y**(-7031\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 30 = -4*n - 46, 5*p = 4*n + 75. Let u = n + 30. Suppose u = 4*y - 10. Sort -1, -3, y in decreasing order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*j**5 - 4\/9*j**4 + 8\/9*j**2 + 0 + 2\/3*j**3 - 8\/9*j.\nAnswer: -2*j*(j - 1)**2*(j + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44560 and 2528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -q - 21 + 28, -2*m - 2*q = -8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29796 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60172.9993 - -60163. Let a = g - -10. Round a to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40+-37\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 23. Let t be f(16). Let r(w) = t - 4*w + 0*w + 5*w. What is r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s - 12 + 8 + 13 + 6*s - 4*s. Suppose 0 = 2*k - k + 17. What is the tens digit of d(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2. Let g(p) be the first derivative of p**3\/3 - 122*p**2 + 33*p + 21. Let m(w) be the first derivative of g(w). Calculate h(m(z)).\nAnswer: 8*z**2 - 1952*z + 119072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, 1.16, 0.3 in decreasing order.\nAnswer: 1.16, 0.3, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 111*d**4 + 253*d**3 + 171*d**2 + 27*d - 2 = 0.\nAnswer: -1, -1\/3, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 2*g**3 - g**4 + (-g**2 + 4*g**2 - 5*g**2)*(-2 + 2 + g**2) + 362*g**2 - 362*g**2 - 293*g**4.\nAnswer: -296*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-336)\/2520*(1 - -4) - (-3118)\/(-6). Is -519 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + -5.06. Let n = 32.5 + -33. Which is the second biggest value? (a) k (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13015016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 17\/4. Suppose 2*r = -5*s + 15, 5*r + 6 = 2*s + 2*r. Solve -n + z = s*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6051809507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 7*w = -949. Calculate the remainder when w is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24894.6 litres to millilitres.\nAnswer: 24894600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 183, 1\/34 in descending order.\nAnswer: 183, 2\/5, 1\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 28 = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**24*r\/r**(-11\/8)*r assuming r is positive.\nAnswer: r**(-157\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1986 - 1581. What is the lowest common multiple of k and 135?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4251554043 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:48 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5\/4, -43\/26, 1\/10, 0.\nAnswer: -43\/26, -5\/4, 0, 1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12585844 divided by 3146461.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 14, -2, 0, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*j*v + 736*j - 5*v**2 wrt v?\nAnswer: -8*j - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1533.2 - 1533. Which is the nearest to -2\/3? (a) -0.3 (b) 0.1 (c) o (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*v - 127*v - 9 = -5*r, 4*r - 3*v - 1 = 0. Let d = 2.6 + -3. Sort r, 0.5, d, -1 in decreasing order.\nAnswer: r, 0.5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Suppose -f*m - 20 = -0*m. Let x = 10 + m. Solve 5*w = -d + 20, -5 = -x*d - 4*d - 5*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*v + 11 = 0, 1 = 3*h + 3*v - 2. Solve -f = h - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 4*s - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-16 - -17 - -4) + -14.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (406\/42)\/((-3)\/(-630)*2). Suppose r - 325 = -u, 5*u + v = 7*r - 4*r. What is the smallest common multiple of 6 and r?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45416 and 22299256.\nAnswer: 22299256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 1. Let p be l(-5). Let z = 83 + p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1333*(-1)\/(-86)*-4.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(3*(-8 - -6)). Let x = 27\/4 - 6. Find f, given that 3\/4*f + 1\/4*f**3 - x*f**2 - s = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4\/5 - 42006*x**3\/5 + 302962*x**2 + 42006*x\/5 - 1514808\/5 = 0.\nAnswer: -21039, -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 10217.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/2)\/10 - (-695)\/25. What is the highest common factor of 84 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 520 - 512. Let m(d) = 100*d**2 - 16*d + 61. Is m(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + -14. Let v = -32 - g. Let c(r) = 26*r**2 - 9 - 20*r**2 + 3 - 5*r**v + 4*r**3. What is c(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 2*u + 2*u)*(2*u**2 - u**2 - 3*u**2) + u**3 - 1 + 1 - 4*u + 12*u**3 - 3*u**3 - 3*u**3 as n*u + x*u**2 + z*u**3 + v and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/33 and 47\/587814?\nAnswer: 6465954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**5\/2 + 2670265*f**4\/2 + 1782588138455*f**3\/2 + 12478007488535*f**2\/2 + 7130256424500*f - 14260555573128 = 0.\nAnswer: -1335129, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - 171. Suppose 0*a - z = -3*a. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 0. Let c = j + 1. Let l = -0.3 - 0. What is the nearest to -2\/7 in c, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184.12 + 12.62. Round w to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297183050149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - k)*(2*k**2 + 0*k**2 + 3*k**2) - 3*k**2 + 4*k**3 + 0*k**3 + 2*k**2.\nAnswer: -6*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 14*a**3 + 3*a**2 - a - a**3 + 0*a**2 to the form c + l*a**2 + r*a + z*a**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 30 = 3*r + 4*u, -5*r + 30 = u. Suppose 4*v - 3*d - 46 = 0, -r = 5*d + 4. Calculate the smallest common multiple of 8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 27.5. Do -1\/3 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20692 + 14615 + 10872)*(-6*s**3 + 3*s**3 + s**3).\nAnswer: -9590*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**2 - 3*i. Let m(p) be the second derivative of 1\/2*p**4 + 69*p + 1\/3*p**3 + 0 + 0*p**2. Determine -3*m(c) - 2*z(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 1. Let u(n) = 4*n**3 + 4*n**2 - 4. What is -4*m(p) - u(p)?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*g + 28*m + 362 = 0, 0 = 4*g - 7*g + m + 8 + 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a - 30 = -36*a. Suppose 4*p - 19 = -a. Is p bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, -7 in descending order.\nAnswer: 5, 0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = -14*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42475784 and 4056.\nAnswer: 127427352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 14*z**2 + 22*z + 93. Let i be u(17). Calculate the greatest common factor of i and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -998 + 997.99998972. What is z rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422213 is divided by 107?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 2. Determine c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 3, 0, -5, -12, -21?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5 + 634*x**4 - 33534*x**3 - 3354858*x**2 + 91731312*x = 0.\nAnswer: -61, 0, 24, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/2 or 8680?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/686322 and 49\/15030.\nAnswer: 573078870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1805 - 1805. Solve 5 = -4*f - a - 7, p = -2*f - 4*a - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/(-36))\/(45\/72)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/47?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15939.7 centuries in decades?\nAnswer: 159397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37919078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229028974*m**2*p*v**2 - 76*m*p - 2266*m*v + 19*v**2 wrt m.\nAnswer: 458057948*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9291?\nAnswer: 3, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 52785?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/280 + 3*v**5\/140 - 3*v**4\/28 - 4*v**3\/7 - 5*v**2 - 7*v. Let b(p) = 0. Calculate p.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*sqrt(540))\/(sqrt(12) + (1*sqrt(84) + sqrt(84))\/sqrt(7)) - (sqrt(2420) - -2*sqrt(2420))\/(4*sqrt(4)*1).\nAnswer: -9*sqrt(5)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1. Let h(q) = 4*q - 5. Determine 6*d(g) - h(g).\nAnswer: -4*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -90. Let h(l) = -1 - l + 45 - z*l - 5. Let u be h(10). What is the nearest to u in 0.4, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100\/509 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179 or -698?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200 + 14130?\nAnswer: 14330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 18901615?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17460 is divided by 2736?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**6\/40 + w**3\/3 + 3*w**2\/2 + 3. Let q(h) be the second derivative of u(h). Find the first derivative of q(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/3 (b) -102\/811 (c) 211\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4\/9 + 7250*i**3\/9 - 65396*i**2\/9 + 58144*i\/9 = 0.\nAnswer: -3634, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 141\/(-24)*-1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1512)\/3528*14\/(-8). Factor h + 1\/4*z**2 - z.\nAnswer: (z - 3)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/1228983 and -11\/409661?\nAnswer: 1228983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 350*r = 345*r - 69, -2*r = 5*m + 115. Let x(k) = -2*k**2 + k - 3. Let s be x(-4). Let q = -61 - s. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91443 (base 12) to base 11.\nAnswer: -119a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769*d + 572 = -780*d for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13438005 divided by 4479335\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert 21836.05mm to micrometers.\nAnswer: 21836050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -2) + (34 - 34 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2 = -10*o, 5*o + 5 - 3 = 5*n - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -44*o - 6707. Let y be h(-151). Which is the third biggest value? (a) -2.1 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301102332 (base 4) in base 3?\nAnswer: -212120120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5808743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:19 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2 and -23\/10866.\nAnswer: 10866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - x - 20 = 0, 4*z + 3*x + 50 + 30 = 0. Let t be ((-2)\/(-4))\/((-2)\/z). Let v be t\/2*8\/5. Solve 0 = -u + 3 - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Let s(v) = -k*v**2 + 3*v**2 + v**3 - 1 + v**2 - 2*v**2. Determine s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-19)\/(95\/(-12)))*12\/5. Sort t, 905, -4, -3 in decreasing order.\nAnswer: 905, t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 - 51*j - 46. Let h be m(-20). Let f = h - -625. Which is smaller: f or -22\/13?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2817466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -88 (b) 61 (c) 0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -678617322 at most -678617323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2832597 divided by -104911.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from jssjsjsssss?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*h**2 + 163*h**2 - 389*h**2 + 117*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24629 - 18\nAnswer: 24611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -11\/4*l**6 + 5\/2*l**4 - 202*l - 155\/6*l**3 + 30*l**2 + 121\/16*l**5 + 15\/56*l**7 + 0. Let r(z) = 0. Calculate z.\nAnswer: -1, 2\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*4560.8.\nAnswer: 912.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 12*n**3 - 6*n**2 + 12*n + 9.\nAnswer: -3*(n - 1)*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2299) + 3*(sqrt(2299) - (2 + sqrt(2299))) + -4 - -2*6*(sqrt(171) + -2))**2.\nAnswer: -9588*sqrt(19) + 129381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*m - 19 = 0, -3*q = -m + 6 - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6954199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -319.\nAnswer: -1\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 30 + 18 - 2192*f + 2190*f to the form o + i*f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2122150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*m = -193*m + 379*m - t + 12, -4*m + t = 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - 0. Let u(n) = n**3 + 8*n**2 + 8*n + 9. What is the units digit of u(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3056758.\nAnswer: 2, 19, 257, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.4 (b) 2\/19 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 + 3*r**2 + 8402*r - 112726. Calculate g(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 100, 127, 156, 187, 220?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.325 - 0.415. Let w = 5 + -2. Which is the nearest to x? (a) w (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17758*q - 20 = -17755*q - 5*w, -q + 20 = 5*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*u - 23, -7*a + 4*a + 87 = -3*u. Let i be 25\/9 - (3 + (-87)\/a). Solve b + 3*y + 1 = 0, y - 6 = 2*b + i*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142716137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(1216) - (sqrt(1216)*6 + 1))**2.\nAnswer: 480*sqrt(19) + 30436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262634 (base 12) to base 4.\nAnswer: -2120330020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 21*z - 3093, 5*z = 4*z + 4*b + 159. What is the smallest value in 6\/7, 3, z?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*g + 1300914 = -113*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24466470463*u**3 + 23*u - 3*u**2 + 24466470462*u**3 + 3*u**2 - 23*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjhjjhhojojhjj. What is prob of sequence jj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2. Let w(z) = -6*z. Calculate w(s(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69580 > 69576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {l: 18, m: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5853 + -5851. Solve -3\/4*i**4 - 5\/2*i**3 - 1\/2*i + 0 - 9\/4*i**a = 0 for i.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.39 and 0.11?\nAnswer: 0.0429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -13.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 402754.6 kilometers?\nAnswer: 402754600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2873 and 13.\nAnswer: 2873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2602 = n + 6447, -3*h - 2*n + 2294 = 0. 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: -1c7a (base 14) to base 13\nAnswer: -24a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.484 - -102.004. Let u = b + -100. Is -3 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/101 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 4*l + 3. Let d = 39 + -12. Suppose 3*i - d = p + 2*p, -3*p = -6. Let f = 5 - i. Determine b(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266125*q - 266118*q = -5*h - 71, 5*h = -q - 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(125) + sqrt(125) + 0 + sqrt(125))**2*1 + (sqrt(125) - (sqrt(125) + -1)*-6))*-1.\nAnswer: -1115 - 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11.97, 0.28, -5, 1\/295?\nAnswer: 11.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 127, 207, 253, 265, 243, 187?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13048985 is divided by 10283.\nAnswer: 10141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 9:27 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*p - 318 + 283 = 0, -5*p = -3*y - 2 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -25, 20, 3, 5, 2.\nAnswer: -25, 1\/10, 2, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*t - 16 + 43, -20 = 5*d + 3*t. Let s be 66\/d - 78\/(-182). Is s <= 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 6:45 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 32\/(-14) + 2717\/77. Suppose -j + f - 6*f = -a, 0 = 2*j - 5*f - 70. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 2*r + r)*(3*r**2 - r**2 - 3*r**2) - 12*r**3 + 76*r**2 - 76*r**2 + r - 3*r - 211*r**3 - 4*r + 6*r to c*r**3 + d*r + l*r**2 + k and give c.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4 in descending order.\nAnswer: 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*u + 1570, -5*u + x + x + 1561 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-75)*9*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 720.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18979*s**3 - 9500*s**3 - 9482*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 6*l + 12. Suppose b - 3 = -l. Is b <= -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7049 or -1875?\nAnswer: 7049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*u + 1899 - 1899)*(4 - 2 + 0)*(4 + 3 - 4).\nAnswer: 222*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -8 - 5 - (2 - (-8 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 114*t**3 + 504*t**2.\nAnswer: -3*t**2*(t - 4)*(t + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*m - 32, 3*m + 4 = 2*w + 57. Calculate the remainder when (-3680)\/(-50) + (-2)\/(-5) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 16 = 13*l, 0 = -5*y + 5*l + 215. What is the remainder when y is divided by (-1 - 15)\/(2 + -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/4112?\nAnswer: 3\/4112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/28 and 101\/13948.\nAnswer: 97636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 y when three letters picked without replacement from ooooyoyoooyooooo.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 897838723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 372*t**2 + t. Is v(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.77 - 10.27. What is the third biggest value in f, -0.1097, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 60*n**2 - 919*n - 2231. Give t(73).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/250280980 and 133\/8060?\nAnswer: 3253652740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/3, 13.9, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1345, 377, 22?\nAnswer: -1345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181162 and 27288.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eedi when four letters picked without replacement from uddiede?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o**4 - 26*o**2 + 26*o**2 + (-3*o**2 - o**3 + 3*o**2)*(-5*o + 3*o + 4*o) - o**4 + 0*o**4 + 2*o**4 as p*o**3 + x*o**4 + g*o**2 + w + q*o and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 21.2.\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3 - 2*t**3 + t + t - 5*t**3 wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = 0, 2*f = 2*u + 12 - 44. Suppose 0 = 4*i + n - u, 0 = 3*n + n. Solve -i*h - 2 - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16251*s + 59920 with respect to s.\nAnswer: -16251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, k: 5}. What is prob of sequence kekk?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 1. Let d(v) = 5*v**2 + 4*v - 8. Give d(j) + 4*i(j).\nAnswer: 5*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 35\/3, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -4\/3*y**3 + 0*y**2 + 0*y - 2. Let q(k) = -2*k. Calculate q(z(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11fc + 2d46?\nAnswer: 3f42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13645 and 246615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/8*2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21930, -22150, -22370, -22590?\nAnswer: -22810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 807545660098.7.\nAnswer: 807545660101.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*s + 3*s**2 + 106*s + 5*s**4 - s**2 to the form r*s**3 + a*s + h*s**4 + u*s**2 + y and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 50*u + 45 = -5*c + 25*u, 4*c + 2*u = -88*u - 482 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 28*r**3 + r**2\/2 - 212*r - 69. Find the first derivative of x(j) wrt j.\nAnswer: 168*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w + 11. Let h(f) be the first derivative of -3*f**2\/2 + 4*f + 25. Calculate -17*h(s) + 6*t(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517736073.\nAnswer: 7, 41, 5288279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -3. Let k = -5809.9 + 5810.1. Let o = 0.1 + 0.5. Sort k, o, y, -0.4.\nAnswer: y, -0.4, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2936, -2936, -2934, -2930?\n\"Answer: o**2 - 3*o - 2934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14968727 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-16))\/(2\/(-28)))\/(34727\/484).\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) - -3*sqrt(133)))\/(sqrt(252) + (sqrt(252)*3 - sqrt(252))).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.31 = 1613120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -66.8*1.13206\nAnswer: -75.621608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8\/5))**5)**36 assuming m is positive.\nAnswer: m**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3276, 6575, 9960, 13473, 17156, 21051?\n\"Answer: 7*f**3 + f**2 + 3247*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -f - 4*f + 5*k, -k = -4*f + 27. Let d be (f\/(-4) - 0) + 1. Suppose 0 = 3*h, -4*o - h - 15 = -3. Put -4, d, o in decreasing order.\nAnswer: d, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181945 is divided by 375.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 3*q + q**2 - 2 - 2. Let x(c) be the second derivative of -c**2\/2 + 2*c + 38. Determine a(f) - 4*x(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 555.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(2\/15))**(-32) assuming n is positive.\nAnswer: n**(-1024\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404690843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r**3 - 1\/54*r**4 - 1\/54*r**5 - 1\/180*r**6 + 1\/945*r**7 + 0*r - 8*r**2 + 0 + 1\/1512*r**8. Let j(i) = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -66.2. Let v = -26 - -19. Let n = v - b. Round n to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(4)\/sqrt(2)*-1)**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 6.5. Let n = 51 - o. What is n rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 18. What is n(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(25\/10))\/(1\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**5 + 68*u**4 + 116*u**3 - 836*u**2 - 1368*u + 2016 = 0.\nAnswer: -14, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -46. Let r be (-9)\/54 - h*70\/(-12). Let i(s) = s**2 + 6*s + 8. Determine i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -545 - -759. What is the remainder when a is divided by 58?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -28. Is x equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1)*4\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*u + 114*m**2 + 30*m*u**3 - m wrt u?\nAnswer: m**2 + 90*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 1)*(76*w - 1 - 80*w + 84*w).\nAnswer: -560*w + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -644, -8.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/7 - 24*h**3\/7 + 2262*h**2\/7 - 10636*h\/7 + 1200 = 0. Calculate h.\nAnswer: -42, 1, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21 (b) 0 (c) -2\/5 (d) 5 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 18*q + 8862. Let a = q - 404. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240455.\nAnswer: 3, 5, 41, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9158379 decades in centuries?\nAnswer: 0.09158379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -282 + 1146. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -1\/12*v**4 - 93*v**2 + 0*v + 0 + 1\/15*v**5 - 1\/3*v**3 + 1\/120*v**6. Calculate o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 24874 + 3*r**2 + 24874.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 4)\/((-4)\/(-14)). Let j(x) = 2*x**2 + 2*x. Let v(c) = 6*c**2 + 7*c. Let w(b) = u*j(b) + 2*v(b). Let n(d) = -10*d**2. Give w(n(o)).\nAnswer: -200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -115270, -229040, -342810, -456580, -570350, -684120?\n\"Answer: -113770*j - 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2.9 (b) 0.5 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14176238224 and -0.16.\nAnswer: 14176238223.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 6\/(-2) - (-78 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1512 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 + -8.6. Let s = 299 - 303. What is the closest to m in s, 0.4, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 + 3*j - 2. Let d(x) = 0*x**2 + 0*x**2 - 3 + x**2 + 2*x - x + 4. Calculate 3*d(p) + r(p).\nAnswer: -p**2 + 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(sqrt(3) + 0)*-2 + (0 + 1*sqrt(3))*2)*1.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -0.1668 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-415371)\/(-164) + (-5)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**5 + 3*s**3 + 1916*s**2 - 63341*s wrt s?\nAnswer: 40*s**3 + 18*s + 3832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -852 to the nearest 10.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + g**2 + 49*g + 59. Let z be a(0). Solve -z + 169 = -22*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -431653 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -0.004179\nAnswer: 0.050148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1825 - 0.6825. Which is the nearest to 43? (a) n (b) -57 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 32 - 14. Let h(y) = 12 - 6 + y - c. Let w be h(2). Solve -2*v - 3*d - 19 = 0, -d + w*d = 2*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + 1a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.32 - -0.72. Which is the third biggest value? (a) d (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 + x**3 + 3*x**2\/2 - 2*x + 2. Let j be p(3). Let t(d) = -2*d + 4*d + 7 - j. Let c(i) = -2*i**2. Give c(t(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-1)\/(-4))\/((-21)\/(-42)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q = 32*q + 64 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*s**5 - 730*s**4 + 2240*s**3 + 2730*s**2 - 135*s = 0. Calculate s.\nAnswer: -9, -1, 0, 1\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (42\/63)\/(6\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 + 12)\/(16\/(-4)). What is the nearest to x in 3, 2\/9, -3\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195673?\nAnswer: 419, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17025*j + 17016*j = -437445. What are the prime factors of j?\nAnswer: 5, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 + -86. What is the highest common divisor of 70 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 194 (b) -2\/25 (c) -4\/7 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u**30 assuming u is positive.\nAnswer: u**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 2. Let d(i) = -i + 3 + 2*i - i - 2*i. Let q(w) = -w**3 - 3*w**2 + 4*w + 3. Let a be q(-4). Let n = -3 + -2. Determine a*d(s) + n*x(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -31.3 (b) 0.3 (c) -9.3 (d) -0.2 (e) 2\/5 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 360329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + -5c5e?\nAnswer: -5c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 48 = 5*v - 3*i, -v = -3*i + 24. Let g = v - -15. Let m(c) = -15*c + 84. Let k be m(6). Which is bigger: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 76, 68, 44, -2, -76, -184?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -557.45 * -4618.\nAnswer: 2574304.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 1. Let k(w) = 64*w**2 - 5631*w - 94. Let y be k(88). Let u(j) = 31*j**3 + 6. What is y*n(s) - u(s)?\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2925035545 to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 19*j - 5. What is k(-4)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 43 = 19. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-287)\/(-210) + 2\/15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1081)\/(-94) - 12)*(-4)\/67. Suppose m + 3*n + 6 = 21, 2*m - 3*n + 15 = 0. Which is greater: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/40 - v**4\/12 - 5*v**3\/6 - 4*v**2. Let r(m) = 7*m**3 + 5*m + 11. Calculate 5*o(c) + 2*r(c).\nAnswer: -c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 + 16*s**4 - 32*s**3 - 40*s**2 + 92*s - 40.\nAnswer: 4*(s - 1)**3*(s + 2)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20452 + -3010002?\nAnswer: -2545110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1da0 (base 16) to base 8.\nAnswer: -16640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 2*d. List the prime factors of (89\/(-2))\/(d\/(-2)).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 58428?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**4\/3 - 61*m**3\/6 + m**2 + 13. Let y be k(8). Solve 12 = -5*u + x, y*u + 4*x - 16 = 7*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, 2010 in decreasing order.\nAnswer: 2010, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-9)*(-11)\/((-55)\/(-15)). Suppose i + b*w - 23 = 0, -2*i - 2*w - 3*w + 26 = 0. Factor 12\/5*u**i - 24\/5*u**2 + 3*u - 3\/5.\nAnswer: 3*(u - 1)*(2*u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2 + 5*h + 2. Let l(a) = 7*a**2 - 6*a - 2. Give 4*l(s) + 5*v(s).\nAnswer: -2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010841 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -6. Let u = -55.80674 + -3.19326. Which is the closest to 2? (a) -0.1 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 49*p**2 + 23*p + 191. Is y(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1287 or 60552\/47?\nAnswer: 60552\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 y when three letters picked without replacement from {x: 6, p: 1, t: 4, r: 3, y: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111111100010101 (base 2) to base 3.\nAnswer: 102122022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1806880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81957, 2, -5, -82.\nAnswer: -82, -5, 2, 81957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-26)*4\/6. Which is the second biggest value? (a) 2 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 - 24*x)*(6 + 0 - 3).\nAnswer: -72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -2\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445487595.\nAnswer: 3, 5, 7, 397, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -136*z + 140. Let v(k) = -204*k + 210. Let q = -261 + 256. Let x(t) = q*v(t) + 8*y(t). Differentiate x(a) wrt a.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752924557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -6*m - 7\/30*m**6 - 1\/3*m**3 + 0*m**2 + 0*m**4 + 0 + 0*m**5. Find the second derivative of t(a) wrt a.\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v**2 + v - 2. Let z be w(-2). Let x = z + 0. Suppose x*j = 2*j. Solve -5*q - 5*g + 3 = -7, 4*q + g - 17 = j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.068 - -0.007. Let l = h + 107.061. Let s = 106.999937 - l. Round s to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12000012 (base 4) to base 13\nAnswer: -b25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 3*m. Suppose p = -2*p - t - 9, 0 = 4*p - 2*t + 12. Let q(a) = 9*a**2 + 7*a. Suppose 9*z - 4*z - 35 = 0. What is p*q(y) + z*i(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 - 63*l**2\/5 - 216*l\/5 + 1296\/5.\nAnswer: -3*(l - 3)*(l + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 10 = -d, -2*d = -3*c + 23. Let g be -1 + (-10)\/(-2) - (1 - d). Suppose 8 = -2*v - 0. Sort g, -5, v in ascending order.\nAnswer: g, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6665291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - (-1 - (5 + -1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*x + 3*i + 1, -2*i = -3*x + 9. Suppose 2*a = 5*a. Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/29, 0.5, -49051, -2?\nAnswer: -49051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxq when three letters picked without replacement from xlzeqxu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from yecwiiwyliwww.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1137 + 381 + 370 + 387 + 19788*k**2 + (2*k**2 + 0*k**2 - 4*k**2)*(0 + 0 - 3).\nAnswer: 19794*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -7. Let b(f) be the third derivative of -f**6\/20 + f**5\/60 + f**4\/24 - 6*f**2. Does 24 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 - -1) + (104 + -52 - 48) + 63?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9643011 take away 0.35?\nAnswer: 9643010.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/sqrt(9) + 1 + (sqrt(152) + (sqrt(152) - sqrt(152)*1) + sqrt(152) + sqrt(152))\/sqrt(8).\nAnswer: 1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4 and 19\/1216056.\nAnswer: 1216056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5586 + -8582. Is 8 a factor of (-36)\/162 + -15*k\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((17 - 21) + 23) - (-1 - 24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -49*a**6\/360 - 53*a**4\/8 + 46*a**3\/3 - 288*a**2. Let f(z) be the first derivative of c(z). Differentiate f(w) wrt w.\nAnswer: -98*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.8068 - -0.1932. Which is smaller: -25 or t?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1025 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 12*h**2 + 17*h - 3. Let o be c(12). Is (o - -5) + (-1 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n - 5*n)*(3*n + 0*n + 0*n)*(-2 + 2 + 4).\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -299*b**2 - 21830*b - 274. Calculate g(-73).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/12*-2*(-117)\/(-6). Let o = -88 + p. Does 20 divide (158\/3 - 1)*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -18. Let w = -28.7 - -9.7. Let y = -16 - w. Sort y, 0.1, 0, z in descending order.\nAnswer: z, y, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*x + (-3 + 6 - 2)*(-11 + 11 - 3*x) to the form r + j*x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - (81\/(-34) + 3). Put 0.5, b, 8, -5 in ascending order.\nAnswer: -5, b, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0 + 22*w**2 + 197\/24*w**4 + 3\/2*w**3 + 0*w. Does 15 divide m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:34 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 123 + 4*g**3 - 119 + 206 - 2*g**3 - 18*g.\nAnswer: 2*(g - 3)*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 + -5.74. Let g = q + 6. Which is the third biggest value? (a) 2 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -20*i**2 + 1284*i - 107. Give f(64).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k**5 - 7*k**5 + 8*k**5 + (k**3 - k**3 - 2*k**3)*(0*k**2 - 2*k**2 - 2*k**2) - 3*k**5 + 5*k**5 - 3*k**5 + (2*k**5 + 2*k**5 - 3*k**5)*(-6 + 4 + 0).\nAnswer: 14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t**(5\/6))*t)*t)**30)**(-8))**(-38) assuming t is positive.\nAnswer: t**16720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 9*v**2 + 13*v + 7. Let a be m(7). Let j be ((-10)\/(-20))\/((-98)\/12). Are a and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - 20. Let g = -32 - a. Let v(o) = o + 1. Let q(x) = 3*x + 7. What is g*q(s) - 5*v(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1722 - 1647. Let z = -28 - -174. Let v = z - d. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 10109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269 + -269. Suppose -6*m - m + 21 = z. Solve x + m = 2*i + 2*i, -5*i = 4*x - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6\/7)*r*r)**(-2\/73))**26 assuming r is positive.\nAnswer: r**(-780\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(126\/(-2)))\/((77\/(-330))\/(420\/(-500)))\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 1 - 7. What is the smallest common multiple of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 305*j**2 + 174*j?\nAnswer: 610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 4. Let h(s) = -s**2 - 3*s**2 + 4*s**2 + l*s**2. Let r(q) = 5*q + q - 5*q. Determine h(r(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 64. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**7\/70 + 13*x**3\/6 - 16*x**2. Find the first derivative of i(n) wrt n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528231 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 0.8. Let h = 3 + -16. Let m = 27\/2 + h. What is the third biggest value in m, -10, c?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 9*s - 2688 = 0. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*x**4 - 1435*x**3 - 11420*x**2 - 2765*x.\nAnswer: 5*x*(x - 79)*(x + 7)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 40*u + 1731. Does 15 divide f(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-3)\/(21\/182). Is 13749 - (28\/o + 2\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.19762701 to 2 decimal places.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 25*w - 2 - 32*w + 71*w. Let a be s(2). Calculate the highest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3 in increasing order.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*b - 201 - 104, 422 = 4*l - b. What is the remainder when 822 is divided by l?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.63 + -9.63. Let j = -50 + 51. What is the closest to j in -2\/3, q, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 40*j - 317. Let l be h(20). Solve 4*k - l + 90 = -5*y, 1 = -k - y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a day in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 7. Let r(t) be the second derivative of -t**2\/2 - 254*t. What is g(p) - 4*r(p)?\nAnswer: -3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 29 + 18 + 11.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 156473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from mmmmmzmmzmmzmmm.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 128841 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 = -z, -2*o + 2*z = -4*o + 2. Suppose -s - 3*s + 12 = o. Which is the second biggest value? (a) 4 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d = 6. Suppose 51 = d*c - z, -2*z - z + 39 = 2*c. Calculate the remainder when 142 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a)**(2\/25)*a*(a*a**(4\/5))\/a*a*a\/a**(-2\/5)*(a\/a**(-1))**(-2\/45)\/(((((a**(1\/4)*a)\/a)\/a)\/a*a)\/a**(-7\/2)) assuming a is positive.\nAnswer: a**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**4 - 164*q**3 - 634*q**2 - 787*q - 309. Let p(y) = 6*y**4 + 164*y**3 + 634*y**2 + 788*y + 308. Let u(r) = -4*l(r) - 3*p(r). Factor u(i).\nAnswer: 2*(i + 1)**2*(i + 2)*(i + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -43. Suppose 13*l + 28 = w*l. Which is the closest to -1? (a) -1\/2 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10031131 (base 4) to base 2\nAnswer: 100001101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489593433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/398?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 7*i**2 - 40*i + 50. Calculate y(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110010010 + 1110?\nAnswer: 111110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -389 times 0.01\nAnswer: -3.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 25 + 35 = -2*n, 5*l - 4*n = -45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/75719 and 19\/210308.\nAnswer: 78444884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 8:38 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 241, 378, 531, 706?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 - 92. Let n be (20 + -6)\/(k\/12). Let l be 32\/14 + (-16)\/n. Solve 0 = -f + l*q - 0 + 5, -f + 7 = -3*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111111202 (base 3) to base 16.\nAnswer: 15a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113280 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/2, -0.673575, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 d when four letters picked without replacement from czzdcdcdzaaadcccrkz?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 240\/(-14)*3\/((-18)\/168). Calculate the greatest common divisor of 30 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2474341587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 116409*d**3 + 2*d + 112798*d**3.\nAnswer: -3611*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -217 in 2\/7, -3\/5, 0, -2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -16*t - 101. Let j be y(-6). Let f(x) = 10*x - 5*x - 2 + 3*x**2 - 2*x**2. What is f(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23339 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31504 and 891?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-7)\/(-18))\/((-33)\/(-198)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -275*q + 24509. Determine f(89).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1)*(-5)\/(-2). Let w(d) = d. Let k(c) = c**2 - c + 1. Let x(h) = -k(h) - 4*w(h). What is x(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2190 and 6?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 22*c**2\/7 + 2*c\/7 - 24\/7 = 0.\nAnswer: -12\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -433*j**5\/10 - 2297*j**4\/12 - 4038*j**2. What is the second derivative of m(o) wrt o?\nAnswer: -5196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxjxhxxhhx. Give prob of picking 3 x.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -731 + -2562223?\nAnswer: -2563154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 152*l\/5 - 896\/5.\nAnswer: -(l - 8)*(5*l - 112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3067, -1, -5, -2, -47, 8 in decreasing order.\nAnswer: 3067, 8, -1, -2, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -12. Let z(u) = u + 7. Let x be z(l). Which is the nearest to 1\/3? (a) x (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167083*p - 18472.\nAnswer: -167083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -4, 4, 10, 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110110101101001101000 (base 2) in base 3?\nAnswer: -102021011111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-2040)*-5)\/(20\/48))\/((-384)\/(-640)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99 + -2246?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 3 - 19 - 3 + 0*z**3 + 3*z**3 - 37.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 6:04 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11410 (base 12) to base 16\nAnswer: 5a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11.4 times 1901568\nAnswer: -21677875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 74*b**3 + 8*b**2 - b - 1229. Let y(k) = 25*k**3 + 3*k**2 - k - 410. Let s(t) = 3*u(t) - 8*y(t). What is the first derivative of s(z) wrt z?\nAnswer: 66*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4498.\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let r(s) = 234*s**2 + 2*s + 2. Give n(r(i)).\nAnswer: -468*i**2 - 4*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.681 from -297.1.\nAnswer: -297.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15335360233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -56.6*-2.6834\nAnswer: 151.88044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - ((-35 - -5) + 19)) + 5 - -12?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -133.18 * -0.0355\nAnswer: 4.72789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -31*s**3 + 248*s**2 + 16. What is f(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1017 = 3*f + 273. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l**3 + 2*l**2 + 11*l + 13. Is n(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1847 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*c = 1, 17*y - 8 = 15*y - 5*c. Let x(l) = -12*l**2 + 32*l. Let q(o) = -o**2 + 3*o. Let t(i) = -32*q(i) + 3*x(i). Calculate t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 88*q**4 + 2562*q**3 - 25344*q**2 + 22869*q.\nAnswer: q*(q - 33)**2*(q - 21)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283 divided by 614.\nAnswer: 283\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/20 - 5*m**4\/12 - 5*m**3\/6 - 12*m. Let y be f(6). Let p(g) = 12*g + 8. List the prime factors of p(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.3, 3, 0.2, -0.03, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 17*h - 7. Calculate u(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + a**2 + a - a - 5. Let c be (-14)\/(-3) - 4\/6. Let r be d(c). Let y(h) = h**2 + 2*h + 1. Give y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/9))\/x)**(-6\/17)\/(x**(1\/12)*x)**(-13\/4) assuming x is positive.\nAnswer: x**(979\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.265 - -130.265. Let z = 129.6 - b. What is the closest to -2 in -2, z, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/5 - 158*p**4\/5 + 3724*p**3\/5.\nAnswer: -2*p**3*(p - 19)*(p + 98)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 5*o**5\/24 + o**4 - 2*o**3\/3 + 29*o**2. Let b(k) be the first derivative of i(k). List the prime factors of b(6).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -655*d**3 - 621*d.\nAnswer: -3930*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813*t + 330 = 868*t. What is the highest common divisor of t and 1875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 4:56 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5*(sqrt(605) + sqrt(605)*1 + -2 - sqrt(605)))**2 - ((4*(sqrt(605) + -3))**2 + 0)).\nAnswer: -16203 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -502*v**3 - 12*v**2 - 18*v + 19. Let c(b) = -251*b**3 - 6*b**2 - 8*b + 10. Let d(r) = -9*c(r) + 4*h(r). Find the third derivative of d(y) wrt y.\nAnswer: 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -3*w**5\/20 + 11*w**4\/12 + 21*w**2. Find the second derivative of t(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 - 4 = 0. Let i be 3\/(-4) - 1\/(-2). Let h be (-61)\/88 + (-12)\/96 + 1. What is the closest to t in h, i, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9033 (b) -0.6 (c) -2\/117 (d) 1\/2 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 13 = -158*k + 157*k, -5*k - 3*m + 43 = 0. Let x be (-6)\/(-4)*2\/(-12). Which is the biggest value? (a) k (b) x (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 624379 + -2497489\/4. Factor f*n**3 - 6 - 33\/2*n - 15\/4*n**2.\nAnswer: 3*(n - 2)*(n + 1)*(9*n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 10:09 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j - 31. Let f be v(-10). Let n be (f - 3\/(-3))*-1. Factor 0 + n*l - 4\/7*l**2 - 2\/7*l**3.\nAnswer: -2*l**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/300*360\/(-80)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(1\/2)*h)*(h*h**9)\/h)**(-4\/11)\/(((h**(-1)\/h)\/h*h)\/(h*h*h**(-3\/4)))**(21\/2) assuming h is positive.\nAnswer: h**(2763\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/2385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 765989 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172803215 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 - 8*p**3 - p**4 + 2*p + 12*p**3 - 1 - 25*p**4 - 6*p**3 in the form x + g*p**3 + u*p**2 + r*p + i*p**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2. Let p(d) = 3*d**2 - d - 21575. What is p(v(z))?\nAnswer: 3*z**4 + z**2 - 21575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2311 and 98?\nAnswer: 226478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749166?\nAnswer: 2, 3, 11, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 704*l - 30 + 700*l.\nAnswer: -4*l - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:05 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1233 - 578 - 92*b + 815 + 93*b as x*b + u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -261*c**5\/7 + 258*c**4\/7 + 3*c**3\/7.\nAnswer: -3*c**3*(c - 1)*(87*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/4)\/((-1)\/(-2)). Suppose -10 - 50 = 5*r. Sort z, 3, r in decreasing order.\nAnswer: z, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109111936 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15524 and 168.\nAnswer: 652008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, n: 9, x: 2, l: 3, c: 1, p: 2}. Give prob of sequence ycx.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113083*d - 113084*d = -5*x - 3, 12 = -x + 4*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1629.97 + 0.55703572.\nAnswer: 1630.52703572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 5:44 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*z - 29, 5*c = 3*z - 2*z + 5. Let i = 7 - 3. Suppose -i = d - 10. Solve -c*g - d = 0, 3*g + 29 = -3*s - 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskqsikabikkqaaikaik. What is prob of sequence qa?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 123114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f**2 - f + 4. Let g be h(0). Let t be (8 + -2)*15\/18. Factor 6 - 3*p**5 + 4*p**3 + p**t - g + 2*p**4 - 2*p - 4*p**2.\nAnswer: -2*(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 596 + -600. Let l be (-4)\/(-12) - o\/(-12). Factor l - 1\/2*x**2 + 1\/2*x.\nAnswer: -x*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -109*j + 215. Calculate s(4).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428533899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38481.1 + 38229.7216. Let s = -251.28040086 - b. Let j = s - 0.098. What is j rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*g + g - 111 = 0, -52 = 3*j + 4*g. Let w = j - -30. What is the least common multiple of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 1\/5 (b) -1\/14 (c) -0.07 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201948 and 491305826?\nAnswer: 2947834956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = -4. What is the remainder when 6 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n + 14. Let m = 11 - n. Determine t, given that 0 + m*t**2 - 2\/9*t + 2\/9*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 + 1 = 0. Suppose -q - 2*q = -o*p - 4, 3*q + 2*p = -16. Let z = q - -8. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76550474.\nAnswer: 2, 7, 11, 13, 38237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j + 53 = 0. Let s = j - 39. Let x = -54 - s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/539 + 105\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -40*z**2 - 330*z - 2114. Let v(h) = -14*h**2 - 113*h - 705. Let y(w) = 6*o(w) - 17*v(w). Find the first derivative of y(a) wrt a.\nAnswer: -4*a - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmyppmmmmmwmpwwyy. Give prob of picking 1 p and 2 w.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 211. Let g(t) = -3*t**2. What is f(g(j))?\nAnswer: 6*j**2 + 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914, 3676, 8286, 14744?\nAnswer: 23050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 0. Let q = a - -5. Find the third derivative of 5*m**q - 3*m**2 + m**4 + 0*m**4 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**2 + 49 - 49)*(-7*p + 3*p + 2*p) - 2*p**3 + 7*p**3 - 4*p**3 in the form b*p**3 + c*p + u*p**2 + w and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7230 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 0*f**2 - f**2 - 6*f - 5 + 9. Let h be g(4). Solve -5*c + h = 5*o - 7, -3*c + 2*o = -1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.016 and 0.08672?\nAnswer: -0.00138752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -4*t + 4*f, -3*t - 5*f - 128 = 32 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*j + 19*j. Let o(u) = -3*u - 29. Let t(k) = k + 10. Let q(i) = -6*o(i) - 17*t(i). Let s be q(j). Solve s*y + 2*r = 3*r, 4*r = -8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -593 in 3, 0.2, -0.121, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - 1332*x - 788*x + 1689*x - 1164*x.\nAnswer: 3*x**3 - 1595*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7788*s*t + 13301*s - 2*t wrt t?\nAnswer: -7788*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 46*k - 165. Let i(m) = -m + 19. Calculate 36*i(r) + 4*x(r).\nAnswer: 148*r + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67\/7 - 1611\/14. Let q = l + 112. Suppose 27\/2*a**2 + 7\/2*a**4 - q*a - 23\/2*a**3 + 1 = 0. Calculate a.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2700*f**2 - 614*f - 5683831.\nAnswer: 5400*f - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -4 (b) -1 (c) 25 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 19*y - 6. Let q be r(9). Let d be 120 - (q - (5 + -4)). Calculate the highest common divisor of 59 and d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 14 - 26)*(-7 + 7 + 3*f)*((3*f - 2*f - 2*f)*(0*f + 5*f - 4*f) + 3*f**2 - f**2 + 0*f**2).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 744.8?\nAnswer: -19364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/((l\/l**6)\/l)*(l**(-2\/5))**(-9\/13))\/(((l\/((l*(l**(2\/11)*l)\/l)\/l))\/(l**6\/l))\/((l**(1\/3)*l)\/l)**(-4)) assuming l is positive.\nAnswer: l**(32444\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.08 (c) -2.4 (d) -3 (e) 3 (f) 3\/5 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**3*w**2 - 32*t**3*w + t**3 + 5*t**2*w**2 - 3*t**2 - 262*w**2 - 2*w wrt w.\nAnswer: -8*t**3 + 10*t**2 - 524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -220044144 (base 6) to base 14\nAnswer: -742688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(6 + -2 + -3). Let m(r) = 6*r**2 + 5*r**3 - 2*r**c - 3 + 4*r - 2*r**3 - 2*r**3. Is 7 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98 - 17*t**2 - 44*t**2 - 98 + 156*t - 73*t**2 wrt t.\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-3) + 4\/6. Let o be 3*4\/42 - 72\/252. Suppose 29*r + 46 + 99 = o. Put x, -1, r in decreasing order.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/14 - -4 - 1. What is the nearest to 1 in 0, o, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577136, 1154292, 1731448, 2308604, 2885760?\nAnswer: 3462916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*n**5 + 18295353*n**2 + 76*n + 2498925?\nAnswer: -160*n**3 + 36590706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3378458921.\nAnswer: 3378458921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1511 - -4?\nAnswer: -1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 11*v + 17 = -6*v, -3*v + 19 = 5*m. Solve m*o = -3*g, -2*o = -g + 1 - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 12. Let r be 360\/(-44) + 4\/22. Let c be l(r). List the prime factors of (0 + 1)\/(c\/(-68)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311840492 divided by -4?\nAnswer: -77960123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**3 + 84*v**2 + 2*v + 2. Let c(w) = 7*w**3 - 82*w**2 - 2*w - 2. Determine 3*b(a) + 2*c(a).\nAnswer: -a**3 + 88*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 528*l - 303586. Calculate j(347).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*h + 17, -4*l + 22 = -6*l + h. Let i(o) = -7*o - 4. Let d(w) = 15*w + 9. Calculate l*i(s) - 4*d(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4977)\/903 - (-7 - -1 - -1). Let r = c - -4204\/8385. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 3 (b) -2\/9 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1655 * -0.16327.\nAnswer: 270.21185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -359\nAnswer: 107.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 36. Let n = d + -12. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 25, 60, 115, 196?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 14*l + 13 - 13.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-37)\/(-2))\/(1\/80). Suppose 31 = 5*g + 11, 0 = -l - 5*g + x. Round l to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1842 + -1834. Let l = -9 + 12. Suppose -l*s + 14 + 7 = 0. Do r and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61800 and 55.\nAnswer: 61855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 93*i**2 + 212*i + 3692. Give f(-48).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4046*o**4\/11 + 2870008*o**3\/11 + 509365878*o**2\/11 + 145298916*o\/11 = 0?\nAnswer: -6027\/17, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + (-5)\/2 + (-313)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -725095\/48882 - -2\/8147. What is the common denominator of -22\/3 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -20*c + 5. Let u = 6 + -11. Let p be t(u). Calculate the highest common factor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*t + 4*x - x, 0 = -2*x - 8. Let m = -13 - -11. Let c(w) = -6*w - 7. Let n be c(m). What is the greatest common divisor of t and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, n: 6}. What is prob of picking 2 n and 1 t?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16502*w**3 - 8225*w**3 - 8272*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/210 and 161\/2927010.\nAnswer: 20489070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -78160 divided by -40\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*((sqrt(1573) - -5*sqrt(1573)) + -5))**2.\nAnswer: -20592*sqrt(13) + 2039284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33262, -33278, -33304, -33340, -33386, -33442?\n\"Answer: -5*v**2 - v - 33256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*y + 16, -5*y + 5 = -2*b + 37. Let v(i) = -8*i + 16. What is the units digit of v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.6 (b) -0.5 (c) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/30*(-8925)\/(-13090).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2297037 is divided by 1398.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*m - 62, 2*m - 4*m - 4*p = 34. Let d be m + 25 + 6\/(-19). Are 0 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -96*z - 3 - 210*z + 20*z - 37*z. Let y be q(9). What is the hundreds digit of (y\/10)\/(3\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/42*9\/5. Solve 28 = -5*u + s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.062 and -0.3?\nAnswer: -0.9186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24 = -3. Let y(l) = l + 17*l**2 - 6*l**2 - l**3 - 1 - 3*l + 4*l. Let b be y(p). What is the highest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72688 and 170?\nAnswer: -12356960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(152)\/sqrt(8) + sqrt(19) + 2)*-3 + -3 - (sqrt(76) + (-1*(2 + sqrt(76)))**2 - (0 + sqrt(76))*-2)) + 2.\nAnswer: -23*sqrt(19) - 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = 58*s - 217298 - 67888. Calculate the greatest common divisor of s and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 4}. Give prob of picking 2 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2*o**3\/27 + o**2\/9 - 4*o\/9 - 36. What is x in a(x) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-5)\/sqrt(6).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(931) - sqrt(931))**2.\nAnswer: -25137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -15*j. Let s(h) = 2*h**2 - 11*h + 2. Let z be s(5). What is the units digit of u(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 10 = -2*u, -8*u = -5*g - 4*u + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*z**3 + 35*z**2 - 10*z.\nAnswer: -5*z*(z - 1)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355582 to the power of 1\/2, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 95 (c) 0.4 (d) -0.044 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 140572530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*n**2 + 31*n**2 + 14 + 30*n**2 + 22 to z + g*n + m*n**2 and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6) + 314\/(-4). Let g be (-6)\/(6*(-2)\/s). Let w = -20 - g. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - -3. Suppose -3*x + x + 30 = -v, -4*x - 3*v + s = 0. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 404.1 - 404.1. What is the fourth biggest value in 11, i, -4\/3, 1\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 103151112*u**3 + 56050307.\nAnswer: 309453336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**3 - 21*m**2 + 24*m - 89. Let u be o(5). Solve -5*x = 516 - u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*u + 3024 = -136*u. What is the highest common divisor of u and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8050 is divided by 237?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414.9575578 minus -0.3?\nAnswer: 415.2575578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/13 + 74*c**3\/13 - 24*c**2\/13 - 920*c\/13 - 1184\/13 = 0.\nAnswer: -37, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 + 21*z**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*s**5\/4 + 18183*s**4 - 6722409*s**3\/4 + 41494959*s**2 - 128387292*s - 47468784 = 0. Calculate s.\nAnswer: -8173, -1\/3, 4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, w: 1}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6066 + 0.0766. Let o = 6.5 + -9.6. Let l = o - v. What is l rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c**3 - 35*c**2 + 6*c - 242. Let f(n) = -2*n**3 - 6*n**2 + n - 1. What is -6*f(t) + p(t)?\nAnswer: t**3 + t**2 - 236","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 1}. What is prob of sequence yy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79547837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5*1*(60\/(-9))\/(7014\/(-1503)) and -1 - (2 + -1)*19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-210)\/30 + 3 + 4. Suppose 4 = -4*n, -37*c + 33*c + n + 74013 = x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/455*65\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689927731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -3. Let r(c) = 5 - 4 - c + 5 + 2*c. Give r(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11 - 11 = -b, -10 = -2*s - b. Suppose -s*y + 2 = -26. Calculate the remainder when ((-3)\/3)\/(2\/(-38)) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 5*s + 2*s. Let y(r) be the third derivative of -r**4\/24 + 36593*r**2 - 2*r. What is y(n(x))?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 5928740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24640 and 630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l + 13. Let d be x(0). Let i = 77 + d. What is the greatest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3740.2 to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43376688 - 35196*h**2 + 43376688.\nAnswer: -35196*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 160\/50)\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 7*d + 11. Determine o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 9) to base 5\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1070894*h**2 - 4*h - 8 + 535467*h**2 + 535452*h**2 to f + d*h**2 + c*h and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001111111010010 (base 2) in base 3?\nAnswer: -122001200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3.69\nAnswer: 14.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145498?\nAnswer: 2, 23, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 850 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 36322 + 48998 = 2*q, 5*f = 2*q - 85320. Suppose -q = -326*d + 320*d. Round d to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42650 or -42634?\nAnswer: -42650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 3*t**5 + t**3 + 33. What is the third derivative of d(w) wrt w?\nAnswer: 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*t)*(-3*t + t + 0*t) - 2*t**2 + 0*t**2 + 0*t**2 - 3*t**2 - 5*t**2 + 4*t**2 - 5 + 5 - t**2 as z*t**2 + x + g*t and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -766860079.068745+-4\nAnswer: -766860083.068745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let s = -8408 - -8410. Let i(k) be the first derivative of 0*k + 7 - 5\/2*k**s. Calculate i(y(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjyjjjjjfjjjj?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 197*n**2 - 8932*n + 35. Give l(38).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*c + (2*c - 5*c + 4*c)*(-4 - 5 + 34) + c - 6*c + c + 2*c - 4*c + c + (6 - 1 - 3)*(5*c - 2*c - c) + 4 - 4 - c to m + v*c and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6)\/(2\/4). Suppose 3 = 3*w - h. Find the common denominator of (1\/w)\/((-6)\/(-80)) and 111\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18988 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeecccwwceeceee. Give prob of picking 1 w and 1 e.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616459.\nAnswer: 616459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 37. Put 2, w, 5, -3 in descending order.\nAnswer: w, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-1 - (-2 + 2)). Suppose -21*y - 10*y = -2*y - 116. Sort 0.4, 2.9, a, y in ascending order.\nAnswer: 0.4, 2.9, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4366 - 3?\nAnswer: -4371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 61574047 and 0.146636?\nAnswer: 61574046.853364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaa when three letters picked without replacement from vrrzozarzrwa?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-3)*168\/(-21280)*19?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h**3 - 3*h**2 - 4*h + 2. Let l(r) = -71*r**3 + 19*r**2 + 23*r - 12. Let t(b) = -13*a(b) - 2*l(b). Calculate t(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-40)\/((((x*x\/x**(-1\/10)*x)\/x)\/x)\/(x\/((((x**6*x)\/x)\/x*x)\/x)*x)))**(1\/54) assuming x is positive.\nAnswer: x**(359\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1883*d + 8 - 1886*d - 8.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 4*g + 13, -2*g = 2. Let x(j) = 7*j**2 + 11 - 5*j**2 - u. Let b(v) = 4*v. Determine b(x(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + f + 17 = 0, 17*b = 20*b - 2*f + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216 = -200*l + 80*l - 155*l - 1766 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 44663 + 10113 = -3*f, -4*j - 16 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.12 - -1.18. Let u = -7 + r. Let i = u + -0.3. Which is the second biggest value? (a) i (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21355, 39363, 57371, 75379, 93387?\n\"Answer: 18008*o + 3347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 4. Suppose v*j - 38 = 4*q, 3*j = 6*j - 4*q - 67. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 - 16*f + 7*f**2 - 21 + 13*f. Is x(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 9*i**2 + 4*i + 7. Let x be m(-9). Suppose 2*w = -5*q + 227, -3 = -q - 4. Let b = x + w. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -633, -631, -629, -627, -625?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -34*h - 122. Solve -22 = -5*z - 3*f, -h*z + 5*f - 6*f + 9 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 864*g - 1. Let d(w) = -w**2. Give d(v(h)).\nAnswer: -746496*h**2 + 1728*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 8:57 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1. Let h = 0.251 - 0.151. Which is the nearest to 0.1? (a) v (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3263 + -3258. Which is the nearest to 0? (a) -124 (b) f (c) -1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -4) + (0 - -1). Suppose -2*d = -4*z + d + 5, 2*z = -4*d + 8. Factor -2*b**z - 6*b + 0*b + m*b.\nAnswer: -2*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2583 times 19471?\nAnswer: -50293593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 21 = -5*c, 12*r - 13*r + 14 = 3*c. Factor c - 88*j + 405*j**2 - 19*j**2 + 114*j**2 + 25*j - 37*j.\nAnswer: 5*(10*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 9:21 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2738, -5472, -8204, -10934?\n\"Answer: j**2 - 2737*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112557493 a multiple of 2495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870.015983 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*p*v**3 - 441*v**3 wrt p?\nAnswer: 61*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 441, 1092, 1993, 3138?\n\"Answer: -l**3 + 134*l**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:57 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 104195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 5. Let y be u(-7). Let h(c) = -c**3 - 2*c**2. Let j be h(y). Solve 2*f + l - 1 = 12, j = 3*f - 5*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24206 is divided by 3403?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:54 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115733828*l**4 + 730904*l + 18?\nAnswer: -1388805936*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let m(u) = 2*u. Let y(d) = -3*b(d) + 2*m(d). Suppose -4*c = 0, r - 3*r = 3*c - 4. Let v(n) = n**2 + 7*n**r - 6*n**2. What is v(y(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7148 + -7147. Let x be 2\/(-6) + 56\/6. Calculate the highest common factor of x and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5749596591 to the power of 1\/3, to the nearest integer?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 2437 + 1733. What is the highest common divisor of p and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80486.811 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-16 - -7) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 17 = -8. What is the remainder when 97 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12021 and 3224.6?\nAnswer: 3224.72021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + ((-1*sqrt(99) + sqrt(99))**2 + sqrt(99))*-5.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1993422 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 1, b: 2, u: 1}. Give prob of picking 1 u and 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*w + 5*q, 2*q - 25 = -39*w + 44*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41481274 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: Is 3557473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2. Let w(p) be the first derivative of -33*p**2\/2 - 30. Give q(w(z)).\nAnswer: 1089*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2\/(-6))*6. What is the derivative of -5*p**2 + k*p - 5*p**2 + 9*p**2 + 3*p - 102 wrt p?\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23608218*f**2*u**2 - f**2*u + 2*f*u**2 - f*u + 3*f - 3*u**2 + 7*u - 5310 wrt f.\nAnswer: -47216436*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.7 - 30. Which is the third biggest value? (a) u (b) 0.2 (c) 1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/123680 and -36\/55?\nAnswer: 1360480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r. Suppose 5*g + 1 - 11 = r. Let c(m) = -5*m + 0 + 0 + m**g. What is c(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(156) - (sqrt(156) + sqrt(156)*2 + sqrt(156)))\/sqrt(6) + sqrt(26) + 2*(sqrt(52)\/sqrt(2) + sqrt(26))))\/((-3*sqrt(88)\/sqrt(4))\/sqrt(11)*-6).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 6 = 0. Let g be 0*s\/(6 + 2). Let a(c) = c**3 - c**2 - c - 5. Give a(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6c (base 13) to base 3\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11988992 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a minute in seconds?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**5\/70 - 314*h**4\/7 + 15*h - 48. Factor t(s).\nAnswer: 2*s**2*(s - 1884)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41672703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-5 - 1 + 4)*(0 - 4*t**2 + 9 + 2*t**2)*(-1 - 2 + 4).\nAnswer: -4*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/50*(0 + 30\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/55416 and 137\/96.\nAnswer: 221664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + 0 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17063424613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d + 8. Let b(k) = -k**2 + 53. Determine b(y(w)).\nAnswer: -81*w**2 + 144*w - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1361*a**2 - 5*a**3 + 1361*a**2.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 8*m - 5. Let r(b) = -b**2 - 7*b - 14. Let g be r(-5). Let o be w(g). Suppose -x + o = 1. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -24. Let o be -30*(s\/4)\/5. Calculate the highest common factor of 135 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -139 - (-9 - (23 - -35))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 - -3. Let u = n - 0.4. Let h = 0 + u. What is the second biggest value in -4, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3262 and 5359.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s**2. Let m(b) = 4*b**3 - b**2 - b. Determine -m(r) - 2*u(r).\nAnswer: -2*r**3 + 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 22. Let y(m) = 5*m + 6. Let j be y(-4). What is the lowest common multiple of l(j) and 6\/9*(-6)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -73530*r**2 - 200 + 45*r - 243*r + 73532*r**2 = 0?\nAnswer: -1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48133, -96166, -144093, -191908, -239605, -287178, -334621?\n\"Answer: r**3 + 47*r**2 - 48181*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 8. Let z(i) = 5. Let k(x) = -6. Let l(r) = 23. Let q(h) = -22*k(h) - 6*l(h). Let g(w) = 3*q(w) + 4*z(w). Calculate -9*g(m) - 2*o(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g - 48*g + 9*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/422, -0.4, -157, 1.6 in descending order.\nAnswer: 1.6, -1\/422, -0.4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1483\/7365 + 2\/1473. Which is the nearest to 9? (a) -0.06 (b) 1\/12 (c) 0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -3*v, 0 = 81*u - 76*u + v + 23. Put u, 38, 1, 4 in ascending order.\nAnswer: u, 1, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506 a factor of 471107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 + 60. Which is the closest to 1? (a) 4 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -9367.\nAnswer: -9370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:36 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - r + 1986, -2*a - 4*r - 414 = -3*a. Let n = a + -1. Let b = -283 + n. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 15*d = 540. Is 2565\/d - 2\/(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = 0, -7*t = 4*q - 5*t + 24. Let c(i) = 0 - i**3 + 1 + i - 4 + 4. Let o(z) = -3*z**3 + 4*z + 4. Calculate q*c(u) + o(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6263*a**4 + 3318 + 1694*a**4 - 2611*a**4 with respect to a.\nAnswer: -28720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3032, -5014, -7022, -9068, -11164, -13322, -15554, -17872?\n\"Answer: -2*o**3 - o**2 - 1965*o - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82227 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/14 + 1 - (-105)\/539. Is -1 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033 - -0.40926302.\nAnswer: 0.44226302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 364\/14*(-2)\/(-4). Let s = 8 + -4. Suppose -v = -s*k + 11. What is the least common multiple of k and 62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-5 + (sqrt(242) - -6*((-1 + sqrt(242) + sqrt(242) - sqrt(242)) + sqrt(242))) + 2)**2*3)*4.\nAnswer: -185328*sqrt(2) + 2950440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from zaaaaaaaaaaa.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from {o: 5, r: 6, k: 2}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 693647987 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13*v - 53. What is the units digit of j(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/4585 and -32\/4585?\nAnswer: 4585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g**3 - 33*g**2 - 12*g + 3. Let l be i(3). Let f(k) = k**3 + 9*k**2 + 23*k + 25. Calculate f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -16 + 14 - -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395170.\nAnswer: 2, 5, 43, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 483, 480, 477, 474?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-15)*x*(x**(1\/12)\/x)\/x assuming x is positive.\nAnswer: x**(-179\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - g**2 - 5*g**2 + (9 - 4 - 1)*(4*g**2 + 0*g**2 - g**2) to i + u*g + h*g**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 190*b**2 + 35*b + 647. Is j(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -11. Let s = k - -1. Suppose 0*o + 36 = s*o. What is the highest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s. Let l(t) = -4*t + 1. Let v(h) = -2*i(h) + 3*l(h). Let n(y) = y - 1. Let k(x) = -3*n(x) - v(x). Determine k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*m - 4, 9 = -3*m - 188*a + 191*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 391 + -92. Suppose 0*h = 4*l + 2*h - 314, -4*l + 3*h + s = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + (2 - -1) - -8. Let q = 5.5 + -5. Let g be 14\/(-5) + (-6)\/(-3). What is the smallest value in p, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbhhbhhhbbbbbhh?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3684.7672 + -3683. Let q = 1.784239 - p. Let w = -0.0166 + q. What is w rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -742 - 216*z + 165*z + 165*z with respect to z.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 0 + sqrt(200))**2 - (3 + sqrt(2) + 2)**2 - ((-3 + sqrt(128)*-3)*-2)**2.\nAnswer: -3871 - 586*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 242\/(-210) - (4 + 54\/5 - 16).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -624951, -2498013, -5619783, -9990261?\n\"Answer: -624354*u**2 - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1863.2ug to milligrams.\nAnswer: 1.8632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3443 or -3454?\nAnswer: -3443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3537 - 3537 - 6*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 12*j**2 - 12*j - 10. Let w be g(13). Suppose a = -5*h + 27, w*a = h - 3*h + 29. Suppose -a = b - 48. What is b rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*65.\nAnswer: 3315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1098)\/6 + (-15)\/6*2. Let s be 1\/(-7)*-1 - p\/47. Suppose x - 2*x = -4. Is s at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 12, 21, 32, 45, 60?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 15. Let g(z) = -z + 7. Let h(f) = -7*g(f) - 3*i(f). Let p be h(4). Let s be 2*(-1)\/(-2)*p. Is -1\/5 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(4 - -4 - 13)*-11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -a + 60, -4*a = a + 4*t - 324. Suppose 0 = -2*n + a + 80. Suppose -39 = -f - 2*s + n, -12 = -3*s. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - ((6 - 3) + -6)) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or -188?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, 45, 210, 431, 708, 1041, 1430?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 36 = 0. Suppose 12*d = p*d. Sort -2, d, 5 in descending order.\nAnswer: 5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -d + 729, 0*c - 723 = -2*c + 5*d. Suppose -f = 8*u - 3*u - c, -5*u = 2*f - 368. Suppose -4*b + 28 = -u. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1848 + -1849. Let v be -2*(1 + 0 + -3). Sort o, -2, 1, v in increasing order.\nAnswer: -2, o, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7181717.\nAnswer: 7181717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m**2 + 2 + 4*m + 2*m**2 - 3*m**2 + m**3 + 5*m**2. Let z be h(-2). Suppose 5*u - 16 + 19 = t, -t = -2*u. Put z, -4, t in decreasing order.\nAnswer: z, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 15. Let a be c(7). Let n be 42 - (a - -2)*-1. Let d = -27 + n. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 155412*d + 18 = -155410*d, d = 2*v. Let x = 2.93 + 0.07. Let r = 3.1 - x. Which is the closest to r? (a) v (b) -2\/69 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from fkkkdkdkkddkfdkdkd.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5 + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -192623543 <= -963117719\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7132, 7133, 7134, 7135, 7136?\nAnswer: 7137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241 - 139. Suppose 79 + 8 = 3*a. What is the remainder when 6 + i + 1 + 3 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*g - 41, 1878 - 1803 = -70*g + 73*g + 8*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**3 + 0*b**3 + b**3)*(4*b - 2*b + 0*b) - 2*b**4 + 6*b**4 + 9*b**4 to the form c*b**2 + q*b + l*b**3 + x*b**4 + z and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -232. Let a = 190 + o. List the prime factors of a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -60, -116, -200, -318?\n\"Answer: -w**3 - 5*w**2 - 12*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -397*t - 21. Let p be a(-8). Suppose 105*g = 100*g + p. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 5*w = 3*m + 30, -2*m + 16 = 3*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -11. Let b = n - -5.9988. What is b rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344 + 21112012?\nAnswer: 21112411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11506 + 11508. Let s(c) = 2*c**3 - 2*c**2 + 2*c. Let h(r) = -r**2 + r. Determine p*h(b) - s(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -5143443.\nAnswer: -8\/5143443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and -11.5704878823.\nAnswer: -27.5704878823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 31*d**4 - 2*d**3 + 10*d**2 - 382. Let a(l) = 61*l**4 - 5*l**3 + 21*l**2 - 760. Let v(y) = -2*a(y) + 5*k(y). Differentiate v(i) wrt i.\nAnswer: 132*i**3 + 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 7*k - 234. Let j = k - 20. Suppose 5*w + 7 = 3*g + 1, j*g + 2*w = 4. Solve 0 + 2 = 5*t - g*h, 4*t = 5*h - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2682270 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2520 = -4*x, 2*w + 848 = -4*x - 442. What is the tens digit of (-5 + 7 + -3)*w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**3 - 5*a**2 - 2*a - 13. What are the prime factors of p(5)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 179 and -131.\nAnswer: -23449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -4\/9, -5, 185 in descending order.\nAnswer: 185, 5, -4\/9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3776a37 (base 13) to base 6\nAnswer: 1414402151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y - 116 - 133\/4*y**4 + 0*y**2 + 136\/3*y**3. What is the third derivative of d(o) wrt o?\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/403*(-7)\/(56\/40)\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*j = -220*j + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74aa (base 14) in base 9?\nAnswer: 30560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r + 47. Let l be z(4). Suppose 5747 = 2*q - l*u, -3*q + 8583 = -9*u + 12*u. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278280 + x - 92721 - 92781 - 92778.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2 + (-1 - 2 + 4)*(2 + 0 - 3))*(-6*q**2 - 3*q**2 + 11*q**2 + 13*q**3) as f*q**2 + k*q + n*q**3 + w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1414481 or 1414486?\nAnswer: 1414486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:57 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -10 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429896 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a tonne in kilograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 31. Suppose -5*x + 2*r + 81 = -2*x, 0 = x + r - q. Does 8 divide x + -6 + 9\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -744517*s + 83*s**3 + 744589*s - 5*s**3 as v*s + d*s**3 + t + c*s**2 and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (514\/80955*-770)\/(2\/(-36)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 8*n - 4*n. Let h = n - -21. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6 - 1998*o**5 - 5*o**3 - 5*o**2 + 85746 wrt o.\nAnswer: -120*o**3 - 119880*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4\/2 + 197*l**3\/2 - 1353*l**2\/2 + 1595*l\/2 - 217 = 0. Calculate l.\nAnswer: 2\/5, 1, 7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, h: 2, y: 3, x: 2}. Give prob of sequence yhyh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4146 and 12438.\nAnswer: 12438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 - -1.9. Let d = o + 0.4. What is d rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*o - 26, -5*q - 3*o = o - 30. Let l be q\/7 - (-16)\/(-56). Let b = 6 + -4. Solve l = x - 1 + b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3641, 3614, 3587, 3560, 3533?\nAnswer: 3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - h - 5)*(-481*h - 293*h + 972*h) + 8*h**2 - 1 + 0 - 11*h**2 as j*h + b + p*h**2 and give p.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2. Suppose 0*q + 144 = 3*q. Let x = q + -30. Let f(s) = s**2 + 18 - x. Give f(w(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*24\/(-80) - (-18)\/4. Factor -11*o**2 - 5*o**4 + 7*o**2 + 3*o**3 + 17*o**y - 16*o**2.\nAnswer: -5*o**2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0*f**3 + 0*f**2 + 0 + f - 1\/6*f**4. Let g(m) = -3*m. Give g(a(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/5)*s*s\/((s\/(s*s*s*s*(s\/(s\/(s\/s**(2\/3))))\/s*s))\/s)*(s\/(s\/s**(-1)))**(3\/14)*((s**(2\/7)*s)\/s)**(-10)*s**(-1)\/(s\/s**4) assuming s is positive.\nAnswer: s**(1231\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let t = -151 - -41. What is the common denominator of 29\/5 and 988\/t + 20\/110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 3855 (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*r + 131 + 139 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*u**3 + d**2 + 2762*u**6 + 1461*u**2 wrt u?\nAnswer: -6*d**2 + 331440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1. Let u(j) = 5*j**2 + j + 3. Let l(y) = u(y) + 3*x(y). Calculate the remainder when 35 is divided by l(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 0, 56 = -0*c + 2*c - t. Let k(y) = -y**3 - 10*y**2 - 2*y - 9. Let p be k(-5). Let z = p - -207. What is the remainder when z is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 = 4*m, 2*m + 10 = 2. Suppose r - 4*r - 3 = 0. Let v be 7\/2*(f - r). Solve -i = -2 + v, -3*c = 4*i + 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p**2 + 9*p - 7. Let m(q) = 3*q**2 + 2*q - 2. Let k = -1014 + 1012. Determine k*o(x) + 9*m(x).\nAnswer: 3*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p + 5*h + 25, -3*p - 46 = -h. Let s be 2*(-1)\/6*p. Suppose -q - 80 = -s*x, 5*q - q - 3 = x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207118 = -19*t - 10*t - 29*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/5 - 13586*c**2\/5 + 67868*c\/5 + 81456\/5 = 0.\nAnswer: -1, 6, 6788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/55)\/c**(-5)*(c**(-1)\/c)**(-47) assuming c is positive.\nAnswer: c**(5447\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/6519 and 7\/11.\nAnswer: 71709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9156 and 5232?\nAnswer: 36624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4845806 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/5 + 68*h**4\/3 - 182*h**3\/5 - 44*h**2\/3 = 0.\nAnswer: -1\/3, 0, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2627?\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -17 - 1\/15*r**3 + 1\/5*r + 0*r**2. Let j(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q + w - 8 = 0, 2*q + w - 4 = 0. Suppose q*t = 10 + 2. Solve -6 = 3*o - 3*b, t*o + 0*b + b - 6 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 4*r**2 - 3*r + 7. Is d(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 362440704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2 + (-4)\/(-3)). Determine f, given that 4*f**j - 4*f**3 - 2*f + f + f**3 + 2 - 2*f**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 greater than 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43920.9652 and 234551?\nAnswer: 190630.0348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 11*m = -5*m + 22 + 26, -2*h - 3*m + 12 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32.5 and 114293348334?\nAnswer: 114293348301.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -956 - -478. Let u = h + 805. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 11. Find the third derivative of -u*z**2 - 543*z**3 + 537*z**3 - 2*z**2 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-2\/7))*h)**(-12) assuming h is positive.\nAnswer: h**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1995*g + 3*d + 9 = -3996*g + 1996*g, 0 = 7*g + d + 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(((-17152)\/(-480))\/268)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 16.9. Suppose -4*a - 4*q = -24, a - 12 = -4*q + 6. Let j = -37.6 - -38. Sort j, h, a in descending order.\nAnswer: a, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50819 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 2*k - 1 - k**4 + 3*k + 2*k - 24*k**3 - 4*k**2 to the form t*k**4 + s + r*k**2 + x*k**3 + g*k and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 84\/16. Let a(i) = 3*i + 5. Let h(g) = 7*g + 11. Let f(u) = 5*a(u) - 2*h(u). Give f(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - -2 - -70) + 6 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*a + 1135*a = -1896 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 4387*s + 340285. Calculate h(-79).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 4, h: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115234331 (base 6) to base 15.\nAnswer: -2dabad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*v = 74, -3*v - v - 62 = 2*f. Let b be ((-4)\/(-3) - 0)\/(14\/f). Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(192))**2 - -6*(sqrt(3) + 0)) + (sqrt(36)\/(sqrt(4)\/sqrt(2)))\/(2*sqrt(6)*-3).\nAnswer: 35*sqrt(3)\/6 + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/222 and 38\/30549.\nAnswer: 2260626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 12*q**2 + 13*q - 3. Let s = 46 - 57. Let c be t(s). Is -12 - -8 - c*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let l(j) = -j + 49. What is -5*k(h) + l(h)?\nAnswer: -h + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.9 - 17. Let d = 37.9 - j. Let i = d - 37.00000052. What is i rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4805.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**3 + 9*c**3 + 53*c - 53*c.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 + z**2)*(-8*z**2 - 2*z + 2*z).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:04 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26234*j**2 - 26234*j**2 - 2*j**3 + 1150 to y*j + a + l*j**2 + d*j**3 and give a.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-404)\/(-1515) + (-470902)\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*c + 23, -2*c - 2*c = -2*l - 14. Suppose -t - 3*n - 3 = 0, 4*t + 0*n + c = -n. Suppose -2*d + 8 - 8 = t. Is d greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/27 - (-6 - 2971708\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzkz?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -578658*s**2 - 1113676 wrt s?\nAnswer: -1157316*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/18 - (-2)\/3. Suppose 4*u - 5*i = -d*u + 4, 0 = -4*u + 3*i + 12. Is ((-2)\/u)\/((-4)\/708) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/84 and -30\/3268847.\nAnswer: 274583148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 133.51793817 from 3.\nAnswer: -130.51793817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -14, -52, -126, -248?\n\"Answer: -2*h**3 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 32*t**2 - 24*t + 297. Let y be m(-33). Solve -3*q + c + 1 = 13, y = -q - c - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8498145 micrograms in milligrams?\nAnswer: 0.0008498145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 0*k + 0*k)*(4 - 1 - 4)*(-9 - 4 + 7)*(2 - 1 + 1)*(5*k - 11 + 11) to the form a*k**2 + z + f*k and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 2075718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575938795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 9)*(3*k - 6*k + 2*k)*(1 - 1 + 2*k**2) + 483*k**3 - 56*k**3 - 32*k**3 in the form l*k + i + c*k**2 + r*k**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3887 - 2777. What is the least common multiple of 27 and h?\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -47 (b) -4\/7 (c) -2\/819 (d) 0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(3)*-5)\/((sqrt(6) - sqrt(24))*-6))\/((sqrt(432) + 2*(sqrt(432) + sqrt(432)*-2 - sqrt(432)) + sqrt(432))\/sqrt(9)).\nAnswer: 5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 9*o + 12. Let m = -5 + -3. Let k be s(m). Let p(v) = 31*v + 2111. Let i be p(-68). Solve k*c + 1 + i = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 - 2*b + 1. Let c be l(1). Suppose 3671 = 4*y - 3*i - 2591, 7812 = c*y + 4*i. Is (-12)\/8*y\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.98589643 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/11 + -7\/55. What is the third smallest value in 0.3, -0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*1*-5 - (-3 + sqrt(192))*-2) + 3*(-1 + 1 + sqrt(192))*-4)**2.\nAnswer: 1440*sqrt(3) + 43236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzqhehg. Give prob of picking 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x**(-1\/54)*x)\/x)\/x)\/x*x\/x**(-2\/67))\/(x**(2\/11)*x)**(-19\/6) assuming x is positive.\nAnswer: x**(94595\/19899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -26*i**2 + 7*i - 131. Let w(b) = 16*b**2 - 5*b + 131. What is 2*m(r) + 3*w(r)?\nAnswer: -4*r**2 - r + 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*s**3 - 45*s + 45*s)*(3*s + 4 - 4) to the form b + p*s + v*s**3 + r*s**4 + a*s**2 and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-5*z**2 + 5*z**2 + z**2) + 4*z**2 - 10*z**2 + 0*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 12*p - 54*p**2 + 27*p - 190*p**2 - 7*p - 2 to the form k*p**2 + y + l*p and give k.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3894092 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*678\/(-15) + -5068 + 5098.\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, 23, 74, 177, 350, 611, 978?\n\"Answer: 3*f**3 - f**2 - f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjssojssbosde. What is prob of picking 1 e and 3 s?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376\/6 - 11\/33?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1ed?\nAnswer: -1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 425679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -27.13, -5, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + f - 1. Let u(b) = -56*b**3 + 8*b**2 - 8*b + 3. Determine 4*m(p) + u(p).\nAnswer: -56*p**3 - 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2)*(1 - 5*n + 3*n + 4*n)*(-564 + 785 - 1103) to the form u + c*n and give u.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8016, -8095, -8174?\n\"Answer: -79*i - 7937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 3*h**2 - 2*h**4 + (-38 + 38 - 14*h)*(h**3 - 2*h**3 + 2*h**3) to the form c + v*h**4 + a*h**3 + d*h + r*h**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12918 + 27889. Is (-2 - -1)\/((-11)\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415282*j + 396 = 19*b - 1415286*j, -3*b = -j - 64 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63245 and 18765.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.55 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125 and 22842125?\nAnswer: 22842125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3515041\/413 + 8511. Let z = w + -417\/826. What is the third smallest value in -2, 3, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330441 to the power of 1\/2, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16118175*a**2*r**3 + 23*a*r**3 + 293041*a*r**2 wrt a.\nAnswer: -32236350*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from xqqqqqqcqqrqqr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -28*w + 8. Let x be r(-4). Let l be ((-4)\/6)\/((-5)\/x). What is the greatest common divisor of l and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*z - 17*z + 10869 = 3795 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-4))\/(1*(-36)\/96)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*1\/1*-7. Let n(a) be the third derivative of -5*a**4\/24 - a**3\/3 + 3*a**2. Calculate the remainder when n(i) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**4 - 583*w**3 + 1785*w**2 - 23*w - 2374. Let q(x) = 25*x**4 + 7580*x**3 - 23205*x**2 + 300*x + 30860. Let y(o) = -3*q(o) - 40*v(o). Factor y(l).\nAnswer: 5*(l - 2)**2*(l + 1)*(l + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 5*r**2 + 7. Let y(j) = j**3 - j**2 - 2*j + 1. Let t be y(3). Let c = t + -18. Let p be q(c). Calculate the highest common factor of 77 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2*5)\/((-3510)\/4212)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 12 = 2*g, -5*j + 11*j - 9*g + 5*g + 5*g = -22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -123*m**2 - 602*m - 260. Calculate u(-7).\nAnswer: -2073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8*n. Let f be (1 - -1)*-1 + 2. Suppose -4*r = 16 - f. What is the units digit of b(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 518 - 2318. Calculate the common denominator of -79\/15 and (-6)\/40*14900\/q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 26*j**2 + 19*j - 10. Let n(u) = -112*u**2 + 26*u - 110 - 56*u + 240*u - 10*u**3 - 173*u**2. Let l(v) = 6*n(v) - 65*r(v). Factor l(c).\nAnswer: 5*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g + 18 = -56*g - 9*m + 7*m, 5*g - 5*m = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*(sqrt(847)*-1 - sqrt(847)) + -4)*-3 + -5 + 5)**2.\nAnswer: -57024*sqrt(7) + 4392144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41243 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636819023.\nAnswer: 636819023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 8 = 4*d. Suppose -110 = d*u - u. Let y = u + 23. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(3*a**3 + a**3 + a**3) + (-6*a + 5*a + 5*a)*(-2*a**2 + 4*a**2 + a**2) to the form b*a**2 + p*a**3 + l*a + d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-60) + 1200\/(-1500) - (-3 + (-31)\/21).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007124 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.409.\nAnswer: 0.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 4 + -58 + 91 + -49?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -294, -295, -296, -297, -298?\n\"Answer: -v - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 48*p + 28*p - 25*p + 2 + 66*p in the form y*p + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3499, -3543, -3587, -3631, -3675?\n\"Answer: -44*q - 3455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - 7*p**2 + p + 3. Let a be l(-3). Let w(y) = -32*y + 0*y**2 + 0 - 2 + 2*y**2. What are the prime factors of w(a)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, h: 7}. What is prob of picking 3 i and 1 h?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 10. Suppose -r*x - x + 12 = 0. Suppose -f + x*f + 4000009 = 2*b, 3*f - 3999991 = -2*b. What is b rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -40332736.\nAnswer: -40332735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886*t**2 - 1368*t**2 + 839*t**2.\nAnswer: -1415*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 6:54 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4494450 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (16\/36)\/((-94)\/4089*-116)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, -609, 4, 10 in increasing order.\nAnswer: -609, 4, 10, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 31232*b - 218567. Determine z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d - 36*d + 1964*d**3 - 1955*d**3 + 73*d.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from xxxxxxvxvxxxxxxxxxx?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 169994\/10514*(-44)\/(-120). Let q = l + 2\/11265. What is the common denominator of q and 115\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -331554.667 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0854*4.\nAnswer: 4.3416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1880 + -1868. Let y(f) = -f**3 - 3*f**2 + 5*f - 7. Calculate the smallest common multiple of y(-5) and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59 + 38.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 10*j + 9. What is q(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588.3752 litres to millilitres.\nAnswer: 588375.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n - 2*o - 25, 0 = -2*n - o + 27. Let b(i) = i**2 + 65*i + 604. Let h be b(-11). Calculate the greatest common factor of h and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208170516 by 104085258.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 + 11*r - 11. Suppose 5*x + 65 + 125 = 0. Let u be x\/(-5) - ((-108)\/20 - -6). Let w(z) = z**2 - 5*z + 5. Give u*w(d) + 3*l(d).\nAnswer: -2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (259*j**3 + 2974*j**3 + 2168*j**3)*(-2*j + j + 0*j + (-1 + 3 - 4)*(j + j + 0*j) - j + 0 + 0 - 3*j + 6*j - j).\nAnswer: -21604*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.192 + -97.808. Let w = r - -176. Let k = 78.0000122 - w. What is k rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2194073?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6681?\nAnswer: 3, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514965640.\nAnswer: 2, 5, 7, 173, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let k be 28\/42 + (-196)\/6. Let h be (k\/52)\/(-4) - 9\/(-195). What is the biggest value in h, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355431523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2260 by 89947.\nAnswer: 2260\/89947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i + 716 - 163 = -955 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 357190 + -177190. Let i be 4\/4 + o - -1. Suppose 5*h + 5*c = -899990, -h = -0*h - c + i. What is h rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*(-331)\/(-662).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 - 133*h + 807. Calculate o(6).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from vhhvhhhhhvhvhhhhvhhh?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 2. Let m(k) = -2*k**2 + 10*k - 18. Let o be m(3). List the prime factors of (v - 6)*o*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2515*(12 - 273\/35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*l**2*m*z - f*l**2*m + f*m - f*z - 4690*l**2*m - 161784*l*z wrt l?\nAnswer: -4*f*m*z - 2*f*m - 9380*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21118 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - b + 1. Let i = 2 - 1. Let f be 1\/((-4)\/8 + i). Does 9 divide a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = -0*n - 4*m, 3*n - 2*m - 3 = 0. Let h(k) = -k + 7*k - 4 - 3*k + 3. What is the units digit of h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -101.5 (b) -1.3 (c) -1157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -0.0537 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 361530 and 30?\nAnswer: 361530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5 + 1462168*j**4 + 133587319668*j**3 - 6147337360016*j**2 + 70703275858576*j = 0.\nAnswer: -182794, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*(-1)\/((-70)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2))**(-22)\/((c**(2\/23)*c)\/(c**(-3)*c)))**(-49) assuming c is positive.\nAnswer: c**(77861\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*l + 239, 18*r - 140 = -3*l + 17*r. Let j = l - 24. Solve -25 = 5*u - 3*s, j = u + s + 4*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.9 - -52. Let p = -4 + v. Let f = -2 - p. Which is the closest to 2\/7? (a) f (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 818496 and 7840?\nAnswer: 4092480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 z, and 2 x when four letters picked without replacement from vzvxvxzxkxky?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.413722 centimeters to nanometers.\nAnswer: 24137220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10755583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 199065.78 months?\nAnswer: 16.588815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 1\/3 (b) -0.4 (c) -0.21 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549 a factor of 49477657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 39.4 and 100519?\nAnswer: 100479.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 3)\/((-272)\/(-10)). Let b = d - 3\/17. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150381 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*q - 55 - 123, -5*q + 181 = -2*r. Let l = -32 + q. Let i(h) = -h**2 + 9*h - 9. Calculate the smallest common multiple of i(6) and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i = 17*i + 108 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p - 2*t, t = -5*p - t - 5. Suppose 10 = -5*q - 0. Put q, 5, p in descending order.\nAnswer: 5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(((-1)\/(-21))\/(-1)). Suppose 113 - 279 = -2*p. Let j = p + -48. What is the greatest common factor of t and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 8 = -9*h. Calculate the highest common divisor of 44 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 15 - 2*w - 7.\nAnswer: -2*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*r + 249*r = 5*m + 485*r + 125, 5*m - 225 = 4*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4, h = -3*d - 0*h + 11. Let m be (-2)\/d*1*-2. Suppose 5 = 3*a - m. Sort 4, a, -2 in decreasing order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273793 and 2899.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a70 - -13b5?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -45. Is (m + (-3036)\/16)\/((-2)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/811 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p + 22. Let l be k(-3). Is 1*1503 - (-21 - l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from xxbxvqvqxqibtiixxbx?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*w + 47, -o = -3*o - 2*w + 38. What is the remainder when 58 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 7:06 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(3 + 0 - 1)*(-1 + 0 + 3)*(-6 + 1 + 3)*(-66*v - 163*v + 301*v) to the form g*v + m and give g.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10270 (base 9) to base 5.\nAnswer: 204121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202*p + 23716 = 1175*p - 19070 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 1 + 0*b + 0)*(-3*b + b + 4*b)*(6*b + 16*b - 8*b)*(24*b + 27*b - 199*b).\nAnswer: 4144*b**4 + 4144*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {s: 2, p: 5, r: 8}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and 90592.\nAnswer: 190243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/24 + u**5\/6 + 5*u**4\/24 - 5*u**3\/3 + 48*u**2. Solve o(p) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -111184, -222340, -333510, -444694, -555892?\n\"Answer: -7*n**2 - 111135*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 38 = -4*z, -24 = -6*z + 3*z - 560393*t + 560398*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 363 + -362.99212. What is h rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10356*v**2 + 54*v + 241. Is j(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -95, -338, -727, -1262, -1943?\n\"Answer: -73*o**2 - 24*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 422537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7596235257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1\/3, -0.15, 0.4, -6.\nAnswer: -8, -6, -1\/3, -0.15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.1 (c) 16\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 5447 = -200*p - 13767 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10552 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.0273\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 2645?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 5*w - 4*i - 18, w = 5*i - 33 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 5*g + 6. Let t be p(7). Let s(h) = h**2 - 2*h + 10. Let n be s(4). Find the first derivative of -t*r**3 - n - 14*r**3 - 3 + 1 wrt r.\nAnswer: -102*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let s = 15 - 25. Let c = 12 + s. Solve -f - 1 = -3*t, 5*f + g*f - 8 = c*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5 + 263*c**4 + 2158*c**3 - 10195*c**2 + 6628*c + 6116 = 0.\nAnswer: -11, -1\/2, 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 26*b**2 - 3360*b + 18. Let c(h) = -10*h**2 + 1119*h - 7. What is 3*a(r) + 8*c(r)?\nAnswer: -2*r**2 - 1128*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4833 (b) -821\/39 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -322 - -400. What is the greatest common factor of a and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*j - 1083 = 18*j + 121. Suppose -3*y + 8*y + 25 = 0. Sort j, y, 0 in descending order.\nAnswer: 0, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1813, 5656, 11521, 19408, 29317, 41248?\n\"Answer: 1011*r**2 + 810*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1.070293.\nAnswer: -0.3210879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 17, -3\/2, -15, -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -o - 0*o + 2*p, 0 = 3*o + 2*p - 239. Let d(k) = -2*k**3 + 17*k**2 - 5*k - 2. Let h be d(8). What is the greatest common divisor of h and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5648*v - 2 = 2*c + 5649*v - 0, 4*v = -4*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12229, -18039, -27725, -41287?\n\"Answer: -1938*l**2 + 4*l - 10295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 - 3*q - 57. Let n be g(-7). Suppose -6*z = -4*z - 8, 0 = -4*h - z + n. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2005 and 12.\nAnswer: 24060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 7128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let h(r) = r + 3721*r**2 - 11141*r**2 + 3700*r**2 + 30 + 3721*r**2. Determine h(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07457 + -0.4.\nAnswer: -0.47457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25548127?\nAnswer: 11, 17, 136621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -186, -693, -1518, -2661?\n\"Answer: -159*l**2 - 30*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 2*k - 7*k**2 + 6*k**2 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**14)**49 assuming r is positive.\nAnswer: r**2058","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*sqrt(17) + 0 + -3 + (((-2 + sqrt(2448))*6)**2 - sqrt(2448)*2*-3).\nAnswer: -1650*sqrt(17) + 88273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 8*w + 16. Let x be t(10). Let f be x\/4 - -4 - -1. Let j = 60 - f. Solve 5*a = 3*o - o - j, 5*a + 3*o + 31 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 - 210525*k**2 - 4000956*k - 7159788 = 0. What is k?\nAnswer: -17, -2, 70194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369 divided by 3.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 218616040783?\nAnswer: -218616040783.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.09, -0.4, -2\/21, 0.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 1:17 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oogg when four letters picked without replacement from ggogggogggg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = -2*g, -2*g + 4*d = -3*g. Suppose 2*v - g*p + 34 = 3*v, 3*v = 4*p + 86. Calculate the remainder when v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/(18\/(-24) + 16\/32)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*l - 717*l - 1268 - 1930 = -11582 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-13) - (-5 + (-13208)\/169). Calculate the greatest common factor of b and 747.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 - 11*z**2 - 9*z - 4. Let s(g) = 3*g**3 - 11*g**2 - 9*g - 3. Let k(n) = 4*c(n) - 5*s(n). Calculate the remainder when 24 is divided by k(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {o: 8, j: 4, a: 1, q: 3, u: 2, n: 2}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087 a factor of 1618296788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143.2 + 174. Let o = -30.9 + m. Which is the nearest to -2\/23? (a) -2\/19 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 43*y**3 - 129*y**2 + 129. Let h(x) = x**2 - 1. Calculate 129*h(i) + n(i).\nAnswer: 43*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + 2*k**3 - 3*k**3)*(-1 + 3 + 0)*(-3 + 1 + 1)*(13 - 76 - 36).\nAnswer: 396*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -8, -4, 7 in decreasing order.\nAnswer: 7, 4, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*x + 3*s + s - 98, 10*x + 221 = 3*s for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6080)\/57)\/(-32) - (-4)\/6. Solve 0 = 2*j - 2*f, o*j + j - 3*f = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -303 and 62.\nAnswer: -18786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -136, 1.\nAnswer: -136, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 218 = 5*g + 2*p, -g + 26 = -4*p. Calculate the highest common divisor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -565, 0.3, 3\/2, -13085?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 24\/(-60))*5\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/210*(-2 - -100). Find the third derivative of q**4 - 111*q**2 + 25*q**2 - 118*q**2 - 27*q**3 - r*q**2 + 44*q**2 wrt q.\nAnswer: 24*q - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3\/8, 0.256?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-2))\/(-1))\/(8\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l**2 + 267*l. Let x(f) = f**2. Give n(x(v)).\nAnswer: 15*v**4 + 267*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39556458 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/(-15) - 2\/(-15))*2. Factor -2324*b**f + 587*b + 120 + 2576*b**2 + 8*b**3 - 223*b + 0.\nAnswer: 4*(b + 1)*(b + 30)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 690\/(16 - 39)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.3713246\nAnswer: -1.856623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4138 + 9\/((-18)\/4). Suppose -9*p + l = -p. What is the first derivative of 517*x**2 - p*x**2 - 21 - 11*x**3 wrt x?\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2641 + -2640.9999998769. What is x rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 376 and 138.\nAnswer: 25944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 3) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42082663?\nAnswer: 7, 19, 23, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**5\/30 + f**2. Let b(q) = -22*q - 2*q**2 + 9*q + 13*q. Give b(x(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 371.6 and -2715.\nAnswer: -1008894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 80*x - 6131. Determine r(-128).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2 - 2 - 2*c. Let g(d) = 8*d + 4. Let z(b) = -9*b - 5. Let a = 111 + -116. Let r(o) = a*g(o) - 4*z(o). Calculate r(i(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + 0. Suppose -4*i = 4*i - 1744. Let p = -50 + i. Calculate the highest common divisor of j and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**7\/28 + 11*r**6\/60 + 11*r**5\/40 + r**4\/24 - r**3\/6 + 6*r + 58. Find d such that g(d) = 0.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150*l - 1145*l = -4*b + 20813, -4*b = 12. What is the lowest common multiple of l and 2975?\nAnswer: 20825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3018 is divided by 385?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -804 + 802. Let m(a) = 7*a**2 - 2*a - 2. Give m(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-36))\/(2\/(-8)*-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m + 7. Let n = -6 - -6. Suppose 0 = -z + 3*c + 11, n*z + 3*z - c = 17. Let h(q) = -6*q + 6. Determine z*i(o) - 6*h(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 71*t**2 - 330*t + 18198. Give i(70).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1113 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/494 and (-1210)\/(-180)*9\/(-171)?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 623196466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4201 - -86a4?\nAnswer: 118a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*288\/1134)\/(11\/33).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7714 + 753?\nAnswer: 10667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2142424230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 68*o + 31. Determine u(48).\nAnswer: -1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -8735, -4 in decreasing order.\nAnswer: 4, -1, -4, -8735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/231*(-2)\/10*-2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 12 + 40*p - 182*p + 99*p - 31*p.\nAnswer: -74*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {e: 1, h: 3, m: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3, -563, -357, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**2 - 18*f + 24. Let y(i) = -5*i**2 + 9*i - 12. Let s(k) = 11*y(k) + 6*z(k). Let n be s(-10). Solve 4*j = 3*j - m + 9, -n = 2*j - 3*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o*o)\/o)**(-33)*(o*o*o**(-1\/2))**(-4\/5) assuming o is positive.\nAnswer: o**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -20*n + 1. Let y be a(-1). What is the highest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = -5*i - 4*a + 261, -10*i + 30 = -26*i - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8723164*t + 8723164*t - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 32824*u - 98431. Determine c(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 7 + 0 + -1. Suppose -5*k + 8 = 48. Let j be k\/(-6)*(-6)\/(-4). Solve -j*h - 6 = -v*h, -27 = -5*p - h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 3*b, 5*x - 66 = -2*b + 3*b. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144 + 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, 466, -5, -10, 0, -4 in increasing order.\nAnswer: -14, -10, -5, -4, 0, 5, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/8, -0.4, -199, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 329\/28*50*2 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -510 (b) 0.3 (c) -5 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174738*a**5 - 391*a**4 - 11*a**2 + 5409186 wrt a.\nAnswer: -10484280*a**2 - 9384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 5. Let p be f(-5). Let g = -8 + 12. Let n(s) = -2*s**3 - s**2 + 76*s + 140. Let d be n(-2). Sort -4, d, g, p in increasing order.\nAnswer: -4, d, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36765.\nAnswer: 3, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/47870 and -119\/12.\nAnswer: 287220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -214 + 233. Calculate the remainder when 197 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64715 and 7?\nAnswer: 64715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 17*w = -22*w - 49, 3*y - 70 = 2*w. Let a = 42 + -28. What is the highest common divisor of a and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4 + p + 5 + 4 - 3. Let r(s) = -2*s - 3. Suppose 0 = 11*a + 5 + 28. Give a*r(u) - 4*n(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:03 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334311403 to the nearest integer?\nAnswer: 18284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135.2191 less than 5335?\nAnswer: 3199.7809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 2*t + 2*t)*(0 + t + 0)*(1 - 2 - 2).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2\/231, -23\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2804 + 2799. What is the second smallest value in 89, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -214 - 46. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -2.673.\nAnswer: 4.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/6)\/(-5)*(-24)\/54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16014\/499103)\/(2\/(88\/12)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276 - 103. Suppose -2*i = 41 - x. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -59. What is the second derivative of -4*m**t + 33*m - 8*m**3 - 25*m wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - 0.03000048. Round k to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let p be 2 - -1*(-3)\/(-3). Let u(c) be the third derivative of 0 - 2*c**2 + 0*c**p + 0*c + 1\/12*c**4. Determine u(y(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/180 - b**3\/6 - 2*b**2. Let r(g) be the first derivative of x(g). Let y(k) = 4*k. Calculate r(y(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34, 3, -1\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -3*s**5\/20 + 15*s**4\/4 + 3*s**3 - 7*s**2 + 2*s + 237. Find the second derivative of z(y) wrt y.\nAnswer: -18*y + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13144 and 3775800?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 11. Suppose -2 + 6 = -2*f, 2*n - 4*f = k. Suppose -5 = x - 2, n = 4*z + 3*x - 195. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -s - 2 + 1, -2*r + 27 = -5*s. Let j be 2\/2*-5 - 2. Let i = s - j. Solve 3*q = q + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i**2 - 9284*i + 3984 = 0. What is i?\nAnswer: -332, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1920)\/(-50) + (6\/5)\/(-3). Suppose -i + 69 = -5*d - f, -3*i = -3*d - 333. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/460 + 923\/1380. Let v = 9 - 13. Let g be (-2)\/6 + (-5)\/3. Which is the closest to n? (a) -2\/13 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5668, -22801, -51346, -91297, -142648, -205393, -279526?\nAnswer: -365041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4750 divided by 38\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 35. Let z be b(5). Let l be (-1 - (-13)\/z)\/(7\/35). What is the closest to -1\/3 in l, 4, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 25 + 31 = -2*f, 0 = 10*l + 50 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o = -92*o + 35, -2*a + o = 2*a + 12 + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19105424 divided by 308152?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 0.003.\nAnswer: -0.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -79*n**4 + 18*n**2 + 38. Let g(p) = 118*p**4 - 25*p**2 - 57. Let b(f) = -5*g(f) - 7*u(f). Find the third derivative of b(x) wrt x.\nAnswer: -888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*r + 64. Suppose -r*i - 4*z - 6 = -90, z = i - 15. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/140*(-16)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -1.1?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r, -w + 8*r - 11*r = 3188012. What is w rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(108) + 1 + sqrt(3)))**2 + -5 - (3*(sqrt(243)*2 + 5 - sqrt(243)))**2.\nAnswer: -684*sqrt(3) - 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/2*(-2)\/(-21).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -58 + (-9 - -12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 33286*r**3 - 2 + 7*r + 33296*r**3.\nAnswer: 10*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*((-26)\/(-3))\/((405\/10)\/81).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*k - 55*k - 31*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:05 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 51*u - 1681. Let l be a(74). What is the greatest common divisor of l and 2247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8))**(28\/9)*(k*k\/(k\/k**8))**(15\/7) assuming k is positive.\nAnswer: k**(-353\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -114. What is the second derivative of c**u - 46*c**3 + 11*c**3 - 109*c + 77*c**3 wrt c?\nAnswer: 252*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 57 = -1139. List the prime factors of u.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 40. Suppose -5*w = o - 24, 4*o - 3*w - 87 = -x. Let d = -14 + o. Which is greater: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -73, -134, -215, -316, -437?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5545.682 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 7, 3, -3, -4\/3, 4.1 in decreasing order.\nAnswer: 7, 4.1, 3, -0.4, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-three fifths of a minute?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/16*4*288. Suppose q = 3*l - 19 + 5, -2*l = -2*q - 12. Suppose a - 29 = -l*p, 4*p = -5*a + w + 33. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 = -5. Suppose -770 = 2*x - 7*x - c*h, -5*h = 3*x - 475. Let j = -89 + x. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -521893, -521903, -521913, -521923, -521933, -521943?\nAnswer: -521953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**3 - 3*o**2 + 16*o + 27. Let n(c) = -28*c**3 + 13*c**2 - 65*c - 106. Let v(p) = -2*n(p) - 9*q(p). Does 57 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 5 (c) -2\/11 (d) 24 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(-1 + (-51)\/(-48)). Let s(x) = -r*x - 12*x + 4*x**2 + 43 - 6*x**2 + 4*x**2. Does 16 divide s(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6597*i**2 - 18*i**3 - 6597*i**2.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhlllllhlhlllhhollll. What is prob of sequence oj?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515b (base 12) to base 10.\nAnswer: 8855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -260 * -43\nAnswer: 11180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -15*b + 78*b + 456 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(272) - (sqrt(272) + 1))**2 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 0.3, -4.48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 11) to base 12.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80\/32)\/((-1)\/12). Is -29 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 30150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 3180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 1\/3 (c) 19 (d) -29237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309916 is divided by 3039.\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s + 3373*s**2 - 6929*s**2 - 31*s + 3565*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 2 + 4)*(-3 + 1 - 4)*(1 + 1 + 1) - 26 - 21 + 48)*(-p**2 + 4*p**2 - 6*p**2)*(-3 + 1 + 3) in the form s*p**2 + t + b*p and give s.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -25\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08154 - 0.1176. Let b = h - -0.037. What is b rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 9 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 3, c: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.58 - -0.08. Let n = 1.087 + -0.087. What is the second biggest value in i, -4\/5, n, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(567) + 0 - sqrt(567)) + -2 + -6*sqrt(567)*-1 + sqrt(567) + -2*sqrt(567)*-6 + 0)**2.\nAnswer: -342*sqrt(7) + 204688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/178, -1, 0.04, -0.4, 5?\nAnswer: -1\/178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, t: 8}. What is prob of sequence uuu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33366, 33372, 33382, 33396?\nAnswer: 33414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 7*n - 35, -6267*x - 4*n = -6266*x + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-12)\/(-9). Suppose -j = g - w, 3*g + 5*w - w - 15 = 0. What is the least common multiple of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-128880357)\/2*(-32)\/24. Let k = z - 36120238. Suppose k = 3*g - x - 0*x, -49800000 = -3*g - 2*x. What is g rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 2}. Give prob of sequence rr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) + 0 + (-320)\/3. Let m = -56 - j. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 21. Let w(r) = -r - 2. Let j be w(o). Suppose -5*s - 77996 = 4*z + 569994, -z - j*s - 161994 = 0. Round z to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 201228*r**2 + 402465*r + 201234.\nAnswer: -3*(r - 67078)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 778601 and 32402.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117898 is divided by 85.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -55. Calculate the remainder when -2 + 3*(-32)\/(-6) is divided by (s\/(-5))\/(1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*d + 2 - 0, 2*d = -2*c. Let f(m) = -10*m**3 + 2*m**2 - 1. Determine f(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 283044845 and -7.74.\nAnswer: 283044837.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -5, 0.2, 1\/82?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 4*u**2 - 4*u - 3. Let l be t(5). Let j(k) be the first derivative of 5 - 6*k**l + 19*k**2 - 10*k**2. Let x(n) = -2*n. What is x(j(v))?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 1, b: 2, p: 1, g: 2, s: 7}. What is prob of sequence sbbg?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836000 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:25 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2476 divided by -619\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-288)\/13 - (-14)\/91. Let x be (-9)\/27 + h\/6. Let v(f) = 19*f**2 + 4*f - 1. Is v(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 2*o**2 - 2*o + 3. Let d be l(2). Let v(h) = h + 10. Calculate the common denominator of 34\/9 and v(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2324*n - 24188 + 23789 - 64673 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:44 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266603 or -1?\nAnswer: -266603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1008 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 68. Let n(c) = 2*c + 34. Let t(z) = -5*n(z) - 3*u(z). Let w be t(14). List the prime factors of 243 - (0 + w\/4).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8e (base 16) to base 13\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (-2 + (-9 - -7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -477, 2, -2, -4, 14, 3 in ascending order.\nAnswer: -477, -4, -2, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.37 in -0.4, 1\/3, 0.5, 0.3, -25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8243 - 4682. Let k be 28125*(r\/9 + -1). Suppose 4*q - k = q. What is q rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24919 + 283784*o**2 + 24919.\nAnswer: 283784*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**24*f*f*f\/(f*f**(-2\/31))*f)\/(f**(-41)*f**(-27)) assuming f is positive.\nAnswer: f**(2978\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 120 in -4, -1, 1\/3, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 6 = 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.74 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(-56) - 143\/(-4). Let v = 44 - c. Let h(o) = 2*o - 10. What is the smallest common multiple of 2 and h(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 + 140 = -24*d. Solve -2*z = 3*v - 18, 2*z = -3*v - d*z + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/12*3*20\/(-75)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + n - 21. Let s be q(7). What is the greatest common factor of 245 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 339\/11. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 8*d - 8. Let c be o(-6). Let k(y) be the second derivative of 0*y**3 - 2*y + 0 - 1\/12*y**c + 0*y**2. Let l(n) = 4*n**2. Calculate l(k(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v**20\/v*v))\/v*v*v\/(v**(2\/29)*v))\/(((v*v**(-2\/9)\/v)\/v)\/(v**(1\/4)\/v)))**12 assuming v is positive.\nAnswer: v**(-18371\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071473?\nAnswer: 13, 82421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1310 + -11?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-295))\/((-89)\/10502)*(-8)\/2\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, o: 5, q: 2}. What is prob of sequence oo?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - x**3 - 6*x**3 + 2*x**3 - 4*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422110 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = 0, -2*q + 4*z = -6. Let k(v) be the first derivative of -1 + 0*v + 4\/3*v**q + 0*v**2. Let t(s) = s. Give t(k(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((4*sqrt(190))\/sqrt(10) + sqrt(1900) + -1 - (sqrt(228)\/((-1*sqrt(144) - sqrt(144))\/sqrt(12)))**2*-5).\nAnswer: 87\/4 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - a. Determine q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*p - 9. Solve 4*b = p*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*k**3 + 6*k**2 + 3 wrt k.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 265 + -258. What is the remainder when 27 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252 + -261442?\nAnswer: -262024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7 - 1 - 2*i + 3*i. Let s(n) = n + 7. Suppose 7*p = -21 - 14. What is p*j(d) + 4*s(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(13*-15 + -2). Let n = -1381\/7 + o. What is the nearest to 0.1 in n, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491581760?\nAnswer: 2, 5, 23, 66791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 682888 and 42988.\nAnswer: 7338997336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19128000 rounded to the nearest one hundred thousand?\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70146 is divided by 639.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*m**2 + m**2 - 4.\nAnswer: -3*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*n - 10*n. Let i be 20\/8*n\/5. Suppose 0 = 3*g - i*x - 14, 2*g - 6 = -2*x - 0. Which is the third smallest value? (a) g (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/24 - z**4\/24 - 61*z**3\/6 - 93*z**2. Let d(o) be the first derivative of v(o). Determine d(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.175398613 to 3 dps.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-5)\/((-35)\/12). Let l = 0.7 + 2.3. Let n = 2.5 - l. Which is the closest to -1? (a) d (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-180)*-10*(402\/3015)\/((-4)\/9).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29734 = 20*m - 29314 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**1))**(33\/4)\/(z*z\/z**(-2)*z**(-6)) assuming z is positive.\nAnswer: z**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.013 + -0.013. Let f = 32625.3711 + -32589.3710971. Let o = r - f. Round o to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) -5 (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w - 25*w - 25*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 587430.8l to millilitres.\nAnswer: 587430800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvjxevvexexexgxeex. Give prob of picking 2 e.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -6 - (38 + 7) - (-23 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 65?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 76*s**2 - 150*s**2 + 3*s + 69*s**2 + 1. Determine v(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 316, -30, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 0 (c) 244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 25*j**2 + 160*j + 49. Let c(a) = -11*a**2 - 80*a - 25. Let g(p) = 7*c(p) + 4*s(p). Is 21 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/9 - -7)*((-170)\/45 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63013040 from -2.6.\nAnswer: 63013037.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 22*g - 32. Let c be l(-9). Suppose 0 = 16*v - 32*v + 11024. What is the highest common divisor of c and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 24 = -13*q. Suppose q*s - 175 = s. Find the third derivative of 35 - s - p**2 + 4*p**4 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.4337ns in hours?\nAnswer: 0.00000000003789825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, 2 in decreasing order.\nAnswer: 20, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2422.338mg to grams.\nAnswer: 2.422338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 19 + 21 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b87 - 5?\nAnswer: -b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305.7 - 306.1. Which is the nearest to -1? (a) h (b) 3 (c) -3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 633621.1 centuries?\nAnswer: 6336211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l + 28. Let p(r) = 4*r. Let f(k) = 9*k + 1. Let y(j) = 3*f(j) - 7*p(j). What is -3*a(b) + 28*y(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.1266 kilometers in centimeters?\nAnswer: 87712660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 243, 938, 2097, 3720, 5807, 8358?\n\"Answer: 232*i**2 - i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678.1263 days to hours.\nAnswer: 16275.0312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 1\/4 (c) -114837\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1498 = 3*m - 1564. Solve -9*i + 13 = m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 357\/(-12) - 5\/(-15)*-6. Let n = 129\/4 + g. Solve n*s - 1\/2*s**4 - 1\/2*s**3 + 3\/2*s**2 - 1 = 0 for s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*3076683\nAnswer: -923004.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01962 and 0.4?\nAnswer: -0.007848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 2494*o + 2848*o - 24)*(-3 - 1 + 3).\nAnswer: -354*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 44. Which is greater: q or -16?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 5*h + 15. Let s be h\/(-21) + (-612)\/(-28). Calculate the highest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 342 + -103. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.5 (c) 2\/5 (d) 0.429 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373 - -445.2. Let y = -72 + q. Let u = 3 + 0. What is the closest to -0.1 in u, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -764.2 less than -0.4?\nAnswer: 763.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 2*f**2 - 3. Let z be u(-5). Calculate the remainder when 0 + 5\/(10\/z) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124.7 + -0.6761.\nAnswer: -125.3761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Suppose 57*q = 56*q - 4*s - 11, -3*q + 12 = 3*s. Let l be (8 - q)*(-2 - (-6 - -3)). Which is the nearest to l? (a) -8 (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3047580 and 17888.\nAnswer: 3065468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*j = -5*v - 202*j - 13, -2*j + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1702\/(-568) - -3)*160\/(-336). Let r be 72838\/(-16401) + (-1)\/3. Let k = f - r. Find the common denominator of 103\/6 and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 923 divide 45846333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-4)\/2) + 1. Suppose i = 2*c + 4*w - 4, -c + 1 = 4*w - 3. Solve c = f - 5 - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101\/(-52) + 2)\/(1239\/1652)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7240, -7577, -8226, -9259, -10748?\nAnswer: -12765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, -5, -9951\/52, 1\/7, -1\/4, 4, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 5 (c) 0.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(132) + -3*(sqrt(132) - ((sqrt(132) - (sqrt(132) + 1*sqrt(132))) + sqrt(132))))\/(-1*sqrt(300)).\nAnswer: -3 + 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + -41 + -12 + 0 - (107 - 2)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114458 is divided by 122.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**6\/360 - 37*c**4\/12 + 28*c. Let b(o) be the third derivative of g(o). Let k(z) = -7*z. What is k(b(n))?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)**36\/(t*t*t**1*t)**(18\/5))\/(t\/(t**(-1\/3)\/t*t)*t**(-1\/2)*t\/t**(-1\/5)*t**(-1\/2)*t*t) assuming t is positive.\nAnswer: t**(811\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 10, 31*v + 93 = -4*n - 20*v - 134 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4012326*g**3 - 100020231?\nAnswer: -12036978*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16716 + 16718. Solve -4*b + 6 = -j*l, l - 12 = 3*l + 2*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 47 = -2*z. Suppose -1 = -3*v + j + 3*j, -z*j = -5*v + 9. Solve 0*g - v = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1100)*1 - (5 + sqrt(1100) + 3))**2.\nAnswer: 480*sqrt(11) + 9964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7\/(28\/72)*1 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 + 2 = b, -3*a + 8 = -2*b. Let y be 6\/12*(a - 0). Round y to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.656 times -11.1\nAnswer: -18.3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -1.27.\nAnswer: -0.0889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let s = 3.3 + d. Let x = s + -0.3. What is the biggest value in x, -2\/7, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13415485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(27\/(-6102)). Let h = k + 116. Solve h*d - i = i - 17, -2*i = 4*d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/((6 - 10) + (-115)\/(-28)). Suppose 312 = 53*p - d. Solve -p - 1 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190589\/3 + -64576. Let p = -100211\/96 - o. Find the common denominator of p and 15\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 9*m - 13*m + (-4*m + 5*m - 3*m)*(0 + 4 - 2) to the form n + r*m and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 190\/10 - (30\/(-6) + 12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d + 3*d + 4*d. Let q(b) = -b**2. What is k(q(o))?\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*r + 8. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-15))\/(1281\/(-305)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(3\/4)*d)\/d*d*d)\/d)**(-4\/13)\/((d*d**(3\/10)*d)\/((d**(-2\/9)*d*d)\/d)) assuming d is positive.\nAnswer: d**(-2411\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**2 + 173*m**2 + m + 186*m**2 - 14*m**2.\nAnswer: 314*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**37*u)**(1\/19)*u**(1\/7)\/u**(-3\/31) assuming u is positive.\nAnswer: u**(486\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11330290 by 5.\nAnswer: -2266058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 + 32*t**3\/3 - 45*t**2\/2 - 2*t - 99. Find the second derivative of j(c) wrt c.\nAnswer: -6*c + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 - -3.5. Is h bigger than 0.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/24 and -47\/3695640.\nAnswer: 3695640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 30*c**2 + 49*c + 20. Let r(w) = 31*w**2 + 47*w + 22. Calculate -12*i(k) + 11*r(k).\nAnswer: -19*k**2 - 71*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78869 and 15295.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -452*d**3*q**2 + 202*d**3*q + 3*d**3 + 2*d**2*q**2 + 3*d**2*q - 3684*d*q**2 + 9*d*q + 13 wrt q?\nAnswer: -904*d**3 + 4*d**2 - 7368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -48633*f + 48630*f + 43, 3*d - 5*f + 49 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145\/13 - 1983\/130. Calculate the common denominator of -109\/112 and b.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-50)*1005\/(-2). Suppose v - n = -2*v. Suppose -5*a + 351 = 5*l - v, -4*l + 2*a = -394. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 5, -28?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 104\/5 - 8\/(-40). Suppose 18*t = g*t + 57. Let v = t - -24. Solve -4*p = -u + 16, v*p + u = -36 + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3708, 7432, 11154, 14874?\n\"Answer: -s**2 + 3727*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299 - 299 + 16*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -2\/223 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 8}. Give prob of picking 3 q.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3751 - 3731 = -5*n, 0 = -4*n + 19*t - 277 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 + -3 - (-1 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25\/3, -6, 5, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*s - 242 - 2170. Calculate the remainder when 1145 is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6655273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/5 + 76*y**4\/5 - 2696*y**3\/5 - 6332*y**2 - 16530*y = 0.\nAnswer: -57, -5, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, -2, 2 in descending order.\nAnswer: 17, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 173292? (a) 0 (b) -6.8 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19798 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15244*a + 15228*a - 49 - 223 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1986 times 2480\nAnswer: 4925280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 316*b - 6347. Determine c(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39265 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2773.08 + 2773. Sort 0.4, z, -0.15, -1\/6 in descending order.\nAnswer: 0.4, z, -0.15, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -14 - (-39 - (-24 - -29) - -122)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(612) - (sqrt(612) + -1*sqrt(612))*3 - (-1 + (sqrt(17) + (sqrt(17) + (-2*sqrt(68) - sqrt(68))\/sqrt(4) - sqrt(17)))*-4))**2 + -3.\nAnswer: -12*sqrt(17) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/76, 1, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m**2 + 327*m - 58. Let y be g(17). Solve -5*n + y = 0, -x = -6*x - n + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4*q - 6, 0 = -4*b + 5*q + 68 - 82 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701 = -5*h + 2*y, -132 = 4*h + y - 685. Let s = h - 134. Solve p = 3*a - p + 9, -s*p = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-35))\/((-145)\/(-35) - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 4104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s. Suppose 60 = 140*p - 152*p. Let g(x) = -x**3 + 8*x. Calculate p*g(a) + 8*c(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34539.\nAnswer: 3, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -w - 67. Let z = w + 132. Let y(b) = 1 - 3 + 0*b - 2*b. Give y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -50. Let b be 6\/39 - (-4)\/h. Solve 10*o - 5*o + 20 = b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 58*i + 8150 - 3094 = 0 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 4, 58, -99, 7 in decreasing order.\nAnswer: 58, 7, 4, 1, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3635 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.7 + 40. Let j = 1.248 - -2.06. Let x = m - j. Round x to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 3192 = -14*t. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -3*a**8\/112 - 11*a**5\/60 - 5*a**2. What is the third derivative of h(f) wrt f?\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 167056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*x - 8*x**2 - 49*x - 33*x + (-3*x - 3*x + 2*x)*(3*x - x + 0*x))*(2 - 1 + 0).\nAnswer: -16*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1624 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + 14 + -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 0.3, -53 in ascending order.\nAnswer: -53, 0.08, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11820.74 - 11931. Let r = -1.26 - d. Let o = -90.4 + r. Round o to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3))**(3\/34))**(-42)*((p\/(p\/p**(-1\/4)))**(6\/7))**(-3\/8) assuming p is positive.\nAnswer: p**(2505\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 0.2. Let r = -9 + 8. Let p = 1534 + -7666\/5. What is the nearest to h in r, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y - 65*y - 321 = 0. What are the prime factors of y?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/10 + (-64)\/(-20). Solve r*c - 8 = 0, 0 = -4*k + 2*c + c + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1316\/7117 - 2\/647. Let h = 3.2 - 3.1. Which is the closest to h? (a) 0.3 (b) g (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:46 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.6 + 12.5. Let x = z + 11. Let i = x - 1. Is i greater than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2868 + 2868.5. Which is the nearest to 5? (a) 470 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzzzuzzzzzzz. Give prob of picking 1 z and 1 o.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**3 + 2*k**2 + 2*k - 2. Let h be u(2). Let r = h + 72. Let n = 67 - r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k*n**2 + 8*k*n*o**2 - 2*k*n*o + 85*k - 116*n**3*o**2 - 7*n**2*o - 4*n*o**2 wrt n?\nAnswer: 8*k - 696*n*o**2 - 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -31 - 24. Suppose 0 = r - 3*r + 30. Calculate the smallest common multiple of p and r.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040876 to five decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m + 8. Let d = -69 - -168. Suppose m*k + i - 67 + 1 = 0, -3*k = -3*i - d. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-74))\/(-4 + 2). Let b = -22 - -13. Let o = b + 10. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -33*j + 1. Let u be r(-4). Calculate the greatest common divisor of 38 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -722064 divided by -51576\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmn when three letters picked without replacement from mynyjnnnzmynnjnmjj?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17\/23, -0.5, -14, 0.5, 1, 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 27949 - 21588 - 32915 - 138650.\nAnswer: -2*q - 165204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1)*(6\/9 + -1). Let c = -1 - -1. Let m = -2 - c. Which is greater: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 21 = -4*n, 35 = 257*s - 264*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 53. What are the prime factors of (3*p\/(-30))\/(10\/15950)?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 291 + 38. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 633, 2618, 5933, 10590, 16601, 23978?\nAnswer: 32733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5828 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1638 and 3874.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2 + (1 + 6 - 5)*(3 + 3 - 4))*(-2 + 5*a + 2)*(0 - 1 + 3) to o + m*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8387649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 6. Let v = -6 + 0. Let q be t(v). Solve -f + q = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 + 6*c - 5. Let q be g(-5). Let u(d) = -2*d - 27. Let w be u(-15). Sort w, q, 2 in decreasing order.\nAnswer: q, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 392 = 5*f, 5*a = -13 + 33. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.4? (a) 98 (b) -5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (2 - 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 divided by 230?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**6 + 5*w**3 - 44*w**2 wrt w.\nAnswer: 360*w**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*s*t**2 + 7*g*t**2 + 3*g*t + 965*s*t + t**2 - 2 wrt s.\nAnswer: -2*g*t**2 + 965*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 129 = 2*q. Suppose 137 = 2*i - q. Suppose -6*m + i + 461 = 0. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9))**(9\/7))**(2\/49) assuming y is positive.\nAnswer: y**(4\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 - 1b1?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*r + 30 = 0, -33 = -180*y + 183*y + 5*r. Let j be 3\/(-5)*(1 + y). Solve -j = v + 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b - 9*b + 2*b)*(19*b - 9*b + 13*b).\nAnswer: -391*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*k - 1518 = 210 - 9123 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1a209d (base 15) to base 10\nAnswer: -1272523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/75*16\/(-24)*((-25)\/(-1))\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 27, -1\/141?\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdvdw. What is prob of sequence dwd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z + 1326 = 0. Let t = 776 + z. Suppose 3*j = -2*d + t, 0 = -0*d + 3*d - 3*j - 501. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 751790.\nAnswer: 2\/375895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 67268 - 67268 + 11*j**4 + 3*j**3 - 2*j - 6*j**3 - 3*j**2 in the form i*j**3 + h*j**2 + f*j + z + n*j**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**28)\/(f**(-7)\/f))**(-2\/3) assuming f is positive.\nAnswer: f**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2905 divided by -5?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (1 + -1 + sqrt(108) + sqrt(108))) + -2)*-4)**2 - (-3 + ((sqrt(108) - -2*sqrt(108))**2 + 0 - sqrt(108)))*4.\nAnswer: -2084 + 408*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 11 = -5*h + 2*x, -h = 4*x - 16. Let a = -2 - h. Suppose 4*f = 2*r + 2*f - 38, 4*f + 48 = a*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 12*g**2 + 9*g - 9. Let s be q(-11). Suppose -5*c - 5*y = -3 + 18, -5*c - 4*y = s. Let p(j) = -18*j + 1. What is the units digit of p(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 18 + 2*r + 5)*(1 - 1 + r).\nAnswer: 2*r**2 + 21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 10, -4*f + 0*f + 154 = 3*s. Suppose -w + 29 = -f. Suppose 33 = 2*i - l, -4*i - 5*l + w = -i. Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12 and -127\/1387880.\nAnswer: 4163640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = -3, 4*z = -5*u + 28. Suppose 0 = -5*j - 4*r - 3, -2*r + z = -4*j + 10. What is the biggest value in -3, -6, -2\/13, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -3\/2*c**2 + 7*c + 11 + 1\/6*c**3. Let v(x) be the first derivative of m(x). Give v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 15*v**2 - 5*v - 1. What is the tens digit of m(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 18.4523506?\nAnswer: 73.8094024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 160634377?\nAnswer: 160634381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = -772*z + 779*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 + 30 - 71*d**2 - 32)*(-4 + 4*d + 4)*(-2*d - 3*d + 4*d) in the form z*d**3 + w*d**4 + s*d + b + c*d**2 and give w.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-3 + 2) - -5. What is the third smallest value in 0.5, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.4*-187\nAnswer: -6432.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, t: 2, j: 1, e: 2}. Give prob of picking 1 e and 2 t.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n + 2*n**2 - 10*n + 3*n**4 + 49 + 5*n with respect to n.\nAnswer: 12*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 60693, 121393, 182091, 242787?\n\"Answer: -f**2 + 60703*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*j + 4. Let f(o) = -o**2 - 18*o - 20. What is the tens digit of f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -5\/2*q**2 - 5*q + 1\/12*q**4 + 0 + 1\/30*q**5 - 1\/2*q**3. Let p(l) be the first derivative of k(l). What is p(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1 - 3*m**3 + 4*m**3 - 2*m + 0*m**3. Let s be x(2). Sort 1, 2, s in descending order.\nAnswer: s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -2, 3074, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -12. Let f = -5 - -9. Suppose -f*c + g = 4*g - 32, -g - 40 = -5*c. Calculate the remainder when b is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k - 62*k + 772 = 0. Let q = -72 + k. Calculate the remainder when q is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121\/15 + 47\/5. Let r = -8062 + 8069.9. Put z, 5\/2, 0.2, r in ascending order.\nAnswer: 0.2, z, 5\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 2725*r**2.\nAnswer: 5*r**2*(r - 545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -525 - -1041. Let y = 732 - d. Let u = 35 + y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 23 (b) -0.3 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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 k be (-4)\/(-8)*3\/(-10)*(-85)\/51. Let u(j) be the second derivative of -39*j - k*j**3 + 1\/2*j**2 + 0 + 1\/24*j**4. Suppose u(y) = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:11 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -bcc (base 13) in base 16?\nAnswer: -7eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2*2\/(-4))\/(1416\/767) and (-856)\/(-120)*6\/(-4)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 83545\/4 and 0.08 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 4, -3 in decreasing order.\nAnswer: 4, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 4*u**3 - 3*u**3)*(2 + 0 - 4) + 3 + u**3 - 3 + 2*u**2 - 2*u**2 - 2*u**3 + u + 2*u**3 - u - u**3 - 2 + 2 + 7*u**2 - 7*u**2 + 6*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 1. Suppose -3 - 2 = u. Let v(h) = 0*h - 1 + h + 2*h. Determine u*v(p) + 4*z(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 6:28 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -25440409044675.\nAnswer: 25440409044673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/(182\/(-7280))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/11)\/(t*t**0)*t**(-5\/4)\/t**(-2\/7) assuming t is positive.\nAnswer: t**(-521\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 478*j**2 + 16 - 1178*j**6 + 384*j**5 - 16 + 1176*j**6 wrt j?\nAnswer: -240*j**3 + 23040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55312)\/(-51855)*(-3)\/376.\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 9 - (-2 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -3\/2*l**2 + 5 - 8*l. Let p be o(-5). Solve -4*w + 9 = -p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13278 - 13278. Let m be 2 + (-4)\/(-16)*4. Let i = -13 + 18. Solve b = m*s + 5*k - 28, -2*k + i + 2 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 2*a**2 + 2*a. Let x(j) be the third derivative of j**4\/24 + j**3\/6 - 14*j**2. Let y be x(-3). What is z(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -23023?\nAnswer: 23014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/174 and -19\/558.\nAnswer: 16182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 22 + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3940509 is divided by 242.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 bigger than 333168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, -0.6, 2\/7, -2\/51 in decreasing order.\nAnswer: 1, 0.5, 2\/7, -2\/51, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 68*x**2 - 22*x + 2. Calculate the remainder when 96 is divided by w(23).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, h: 2, k: 2, b: 3, d: 4, s: 3}. Give prob of picking 1 b, 1 h, and 1 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 6\/443 (c) 361 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b0a4b + -23?\nAnswer: -b0a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - h + 22*h**3 + 2*h.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 63, -2, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.52 + 0.02. Let h = 5738\/1077 - -2\/359. Sort -1, h, l, 1\/2.\nAnswer: -1, l, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 + 1161*x**4 + 3501*x**3 + 3507*x**2 + 1170*x.\nAnswer: -3*x*(x - 390)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnxxxxxnxnxxxxnxnn. Give prob of picking 4 x.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-3)*y*y)\/y**6*(y\/(y*y**(-2)))\/(y*y**(-8\/7))*(y**(-1\/5)\/y)**(-2\/35)\/((y**6*y)\/y**(-5)) assuming y is positive.\nAnswer: y**(-2588\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 202\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1083)\/152 + 1\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1790*z + 559*z + 1150 = -542*z - 574*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 10. Let n(x) = x + 1. Let y(q) = -2*n(q) - u(q). Let s be y(5). Solve 0 = -0*r + s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*z - 6265*z + 515*z - 999*z = -98772 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 3*y - 199 - 200 - 7*y to n*y + j and give j.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1340 divided by -670.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 155 times -3\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97208 less than 8846048\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707743.\nAnswer: 173, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*y**5 + 11*y**4 - 2*y**2 - 208.\nAnswer: -660*y**2 + 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b576 (base 14) to base 16.\nAnswer: -11034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryqiiiqricrrqrqiqc. Give prob of sequence qr.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 7:40 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 0.3 (c) 0 (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1202 - -1324. Calculate the remainder when 243 is divided by f.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*a - 72. Let m be 20\/a*2*6\/4. Suppose t = g - 8, -t = -m*g + 22 - 2. Solve -1 = g*i - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2184917 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000001101100110101101 - 100?\nAnswer: -100000001101100110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, j: 1, u: 6, q: 1, p: 7}. Give prob of sequence ujbu.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**3 - z**2 + 4*z + 3. Give p(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/769 - 74557\/4614. Find the common denominator of q and 53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3102)\/(-11) - (-1 - 7 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 5*q + 17. Let m be d(-7). What is the derivative of -6 - 2662*x**4 - m*x + 2634*x**4 + x wrt x?\nAnswer: -112*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -679.8 - -680. Let x be (0 - 10)*(-8)\/(-20). Which is the third biggest value? (a) 1\/4 (b) x (c) y (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -15*v**2. Let y(f) = 428*f. Give p(y(g)).\nAnswer: -2747760*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -4, 13, 36, 65, 100?\n\"Answer: 3*j**2 + 2*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 23348884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 3, -92671 in descending order.\nAnswer: 3, -1, -7, -92671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6 - 47 + 19 + 16 + 17. Let y(t) = 7*t**3 + 4*t**2 + 4*t - 8. Let m(z) = z**3 + z**2 + z - 1. Let p(b) = 4*m(b) - y(b). Give 6*d(q) + p(q).\nAnswer: -3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 2 + -13 + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -2613?\nAnswer: 28\/2613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-2\/5)*y)\/y*y))**(-35)*y\/(y\/(y\/(y*(y\/(y*y*y**(4\/5)))\/y)))*y**(-2)*(y*y**(-2\/29)\/y*y\/(y**(2\/9)\/y))\/(y**(-1))**(7\/5) assuming y is positive.\nAnswer: y**(32506\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -22417, -205 in decreasing order.\nAnswer: 2, -205, -22417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37214, 148626, 334312, 594272, 928506, 1337014, 1819796?\n\"Answer: 37137*d**2 + d + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231120012001 - -1?\nAnswer: 231120012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 9*b**3 + b**2 - 10*b - 11*b**3 to u + x*b + c*b**3 + v*b**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by (-182)\/(-6) - 2*5\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - f + f + (2*f + 2*f - 3*f)*(0 - 1 + 3) + 7125*f + 8967*f + 1995*f.\nAnswer: 18090*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kogv when four letters picked without replacement from {o: 2, k: 2, v: 2, q: 1, p: 1, g: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61521\/5 or -12303?\nAnswer: -61521\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0) + -1 + -6 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 118*f + 114*f = 16, -3*f = 5*a - 23. Solve a*r = 5*c + 25, 0 = -2*r + 4*c + 12 + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 35*v**2 - 25*v - 186. What is u(35)?\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n**2 + 22*n**2 - 17*n**2.\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(475)*3 + 3) - (0 + sqrt(304) + (2 + sqrt(475) - sqrt(19)))**2.\nAnswer: -1217 - 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.137079 and 23441.\nAnswer: 23440.862921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -66\/17127065 and -93\/171270650?\nAnswer: 171270650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/59957968 and 37\/1529540.\nAnswer: 299789840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7141 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 4.8. Let n = 0.08 - 0.03. Let l = n - 1.05. What is the closest to -0.2 in l, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4*d**2 + 2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.178 + -0.16. What is w rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + -6*sqrt(324))\/((sqrt(972) - (sqrt(972) + -2*sqrt(972))) + sqrt(972)).\nAnswer: -17*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -57 - 12*u + 72 - 15*u**2 + 26*u**2. Let f be r(8). Let t = f + -436. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 2, i: 6, z: 1, q: 2, n: 4}. Give prob of picking 1 n and 1 q.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(1573) + -5 + -2 + sqrt(1573)) + 1*sqrt(52)*3 + 4)**2.\nAnswer: -1000*sqrt(13) + 32595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6086812 and 966?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0 (c) 406\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*g + 342 = 2140*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60211 times 0.4\nAnswer: 24084.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p + 4*n - 41 - 80 = 18*p, 126 = 6*p - 4*n for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322040 by -776.\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9400946?\nAnswer: 2, 4700473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 2*b**2 - 1\/4*b**4 + 4*b + 4\/3*b**3 + 2. Is 9 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.8 - 27.808. Let n = 2 + g. Round n to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 3*y. Let a be 0*y*4\/(-32). Solve a = 4*o - 3*n - 2*n + 1, 4*n + 32 = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 42\/(-38) - 35\/(-7)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -30543?\nAnswer: -30554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1282 + -1330. What is the closest to 0.1 in -10, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 577, 580, 585, 592, 601, 612, 625?\n\"Answer: t**2 + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11648211 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhhnhennh. Give prob of sequence ehen.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1405 + 35374?\nAnswer: 36780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -39. Suppose -t*c = 3*s + s, 0 = 5*c - 3*s - 35. Suppose 2*v - 2*d = -0*d - c, -3*d - 18 = 3*v. Is v less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 8854419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**4\/12 - 11*o**3\/2 - 26*o**2 - 5*o. Let f be g(-17). Suppose f = -78*h + 83*h. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = -0*h + 5*h, -2*h = 2*i - 14. Let y(n) = -6*n**3 + 180*n**2 + 382*n + 69. Let g be y(32). Solve h*d = -4*m + 12, -5*d - g*m = -8*m + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27942?\nAnswer: 2, 3, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(6)*2)\/(sqrt(24)\/(sqrt(48)\/sqrt(8)))*-3.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -7*f + 36*f. Suppose 4*j = 5*u - 1444, -10*j + f*j = -8. Calculate the remainder when u is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 3*u)*(0*u - 2*u + u)*(11*u**2 - 4*u - 5*u + 6*u).\nAnswer: -22*u**4 + 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 39 = -5. What is the remainder when 100 is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*w = -146, 0 = -0*w - 2*w - 10. Let q = -34 + k. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 83493 = -82737 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13a2b0 - 59?\nAnswer: 13a254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -3408 and 4405 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 304240 + 44?\nAnswer: 304324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 4. Let w be i(-4). Suppose 0*f - 3*f + s = -w, 2*s = -4*f + 8. Suppose -4*d + 149 = -3*b, f*b = -4*d - 50 + 178. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 87.1. Let q = 19 + 13. Let k = q - 33. Sort -1\/4, a, k, -8 in descending order.\nAnswer: a, -1\/4, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 100220201021211?\nAnswer: -100220201021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*p + 926 = 2*p, p = -3*o + 1379. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34114, -34215, -34326, -34453, -34602, -34779?\nAnswer: -34990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85052554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(2*o**2 + 0*o**2 - 3*o**2 + (-1 - o + 1)*(-2*o - 2*o + 0*o) - o**2 + 4*o**2 - 5*o**2).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*(-12)\/18)\/((-4)\/30). Suppose 16 = 7*l - y*l. Let z(q) = 11*q**2 + 17*q + 2. Let m(p) = -4*p**2 - 6*p - 1. Calculate l*m(i) + 3*z(i).\nAnswer: i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 104*a + 1858. What is w(-18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (15\/88 - (-600)\/(-1100))\/((-1)\/(-6))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(0 + 1)*397. Suppose -2*g + 0*v + v = -479, 5*g + 4*v = i. Suppose g - 43 = 2*q. What is the greatest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, -43, 0.5, -1905?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 1355287 = 2*z + 6*i, 4*z - 5*i - 2710567 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -x + 59, 6*x = -a + 2*x + 12. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 6:16 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 137?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 + 1)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - -4. Let h = -72.36 + n. Let t = h + 0.36. Which is the second smallest value? (a) -7 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 11:39 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - 1.88. Which is the nearest to j? (a) 2\/3 (b) 0 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 300 + -300.000462. Round w to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3643 divide 4802883841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -s - 12, s - 3*s = f - 4. Let g(w) = w**3 + 6*w**2 + 5*w + 6. What is the remainder when 70 is divided by g(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.53 to zero dps.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 = -2*w - 3*p, 1 = -2*w + 5*p. Let i be 2 - 11*(w - 3). What is the greatest common factor of i and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1496, 2979, 4452, 5915?\n\"Answer: -5*p**2 + 1498*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1792, 9042, 21732, 39862, 63432, 92442, 126892?\nAnswer: 166782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = q + 6, 43*q - 4*x - 15 = 46*q + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = 57*c + 244 + 220 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -8*z - 24. Put -1\/7, -0.1, z, 4 in decreasing order.\nAnswer: 4, -0.1, -1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2114 - 2364552?\nAnswer: -2366666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 613 and 614 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a factor of 4056931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 14. Suppose x = -4*g - 3*d + 724 + 686, -g + 361 = 5*d. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 29 + 1502 + -1564?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -2, 236059, 0.032 in increasing order.\nAnswer: -2, -3\/8, 0.032, 236059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(54)\/sqrt(3)*1)\/sqrt(9) + (sqrt(1024) + -1*sqrt(1024) - sqrt(1024))\/((-2*sqrt(32))\/sqrt(4)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 38 + 62. Solve -s = -6*n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1444\/7? (a) 3\/5 (b) 2\/31 (c) 2\/9 (d) 1\/2 (e) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**7\/735 - p**5\/105 + p**3\/21 - 3*p**2\/2 - 4. Let c(m) be the second derivative of o(m). Factor c(g).\nAnswer: 2*(g - 1)**2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 1, -0.2, 2\/5, 15, 3, 0.09?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011 - -1020101?\nAnswer: 222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1166 (base 7) to base 16.\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3314 (c) -45 (d) -0.3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 19 = -4*q - 29, 0 = -2*u - 2*q - 44. Let t = -17 - u. Find the second derivative of -3*v**4 - t + 3 + 9*v**4 + 5*v wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*o**2)*(-6 + 3 + 2) + 182*o**2 + 648*o**2 - 369*o**2)*(3*o**3 + 4 - 4).\nAnswer: 1377*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2746344512.\nAnswer: 2, 19, 151, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2203 - 2681*z**2 + 2358*z + 2684*z**2 - 158 = 0.\nAnswer: -787, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.9 (b) 4 (c) 0 (d) 2 (e) -408.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -139, 290, 1443, 3680, 7361, 12846, 20495, 30668?\n\"Answer: 60*u**3 + 2*u**2 + 3*u - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let m(r) = -51*r**2. What is m(z) - 6*y(z)?\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 1115628*b**2 + 4462464*b.\nAnswer: 3*b*(b + 4)*(b + 371872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-3 - (-2 - 3)) + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 4*p - 130. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 6*l**2 + l + 8. Let x be b(-6). What is the third derivative of -5*i**5 - 2*i**2 + 7*i**5 + 2*i**5 + i**x wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 72. Let x = 24 - 21. Which is the third smallest value? (a) x (b) 22 (c) 2\/7 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Suppose -5*y - 3*w - 6 = -77, -3*w + 6 = 0. Suppose -3*b = -4*p - 4*b + y, 5*p - 12 = 3*b. What is the nearest to z in p, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20024\/17 - 1178. What is the closest to i in 0.26, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-5)\/(-39)) - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 626.01652 + -626. Round s to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*y + 3, -21 = 5*y + 3*a - a. Let m be (-2)\/y*-2 + 1. Let v = 7 + -4. What is the second smallest value in v, m, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmvv when four letters picked without replacement from {y: 1, m: 1, v: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2158 + -1007. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-117))\/((-8)\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r**3 + 37045*r**2 + 16850*r = 0. Calculate r.\nAnswer: -5\/11, 0, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aanaakaaanakaaaannn. Give prob of picking 1 k and 2 a.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.27 - 0.269979. What is r rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 0, 2*v = 1820*y - 1825*y + 15115. List the prime factors of v.\nAnswer: 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 497*f**3 + 90*f**3 + 4*f - 4*f + 260*f**3 - f**2 to l*f**3 + k + q*f + w*f**2 and give l.\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -34026 (base 7) to base 6\nAnswer: -103443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -56*b + 115. Let c be q(2). Solve 0 = -5*t - 8 + c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**2 - 4*j + 9. Let r(n) = -29*n**2 - 11*n + 26. Determine -4*r(x) + 11*z(x).\nAnswer: 17*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93710, 374841, 843376, 1499321, 2342682?\n\"Answer: b**3 + 93696*b**2 + 36*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109362737?\nAnswer: 11, 9942067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1342*p**3 - 1250*p**3 + 2594*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 + 6 + 3 + 2 - 2 + 2 + 0 - 1 + (-2 + 1 + 0)*(1 - 1 + 2) - 5 - 1 + 4 + 2 - 3 + 0)*(-2*n - 3*n + 3*n) to the form t + g*n and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 9 + -1 + 10. Let f be (-76)\/(-110) + 2 + w\/(-5). Let s = -0.25 - 0.05. Put f, -1\/5, s, 2 in descending order.\nAnswer: 2, f, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**5 - 6*v**4 - 40*v**3 + 39*v**2 - 19*v. Let a(n) = n**5 - 39*n**3 + 40*n**2 - 18*n. Let h(s) = 3*a(s) - 2*w(s). Factor h(b).\nAnswer: -b*(b - 8)*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313108 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 133*n + 1617*n + 1487*n - 5 in the form h*n + s and give h.\nAnswer: 2971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921602121?\nAnswer: 3, 11, 27927337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 238886168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 873*i**5 + 0 - 1590*i**2 - 1 - 405*i**2 - 445*i**2 + 2 wrt i?\nAnswer: 52380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35823 - 71644 - v**2 + 35821.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -946, -947, -948, -949, -950, -951?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 19*z**3 + 19*z**2 + 13*z + 13. Let d(o) = -9*o**3 - 9*o**2 - 6*o - 6. Let g(n) = -13*d(n) - 6*w(n). Factor g(f).\nAnswer: 3*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47754 is divided by 1364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5416 is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8, -6*g + g - 4*t = 32. Let j = 2 - g. Let o be (-2)\/3 - (-544)\/6. What is the highest common divisor of j and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8381 - -8435. Calculate the remainder when 73 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + -3*sqrt(325) + sqrt(325) - sqrt(325)))**2.\nAnswer: -120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 285119726 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2151.1 - 2151. What is the closest to 2 in -27, c, -3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o, 200 = -y + 3*y - 2*o. Let i = -50 + y. Let u = i - 46. Let c(n) = -4*n**3 - 3. Let f(b) = -4*b**3 - 4. What is u*c(x) - 3*f(x)?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.4 times -1533.3?\nAnswer: -52745.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 56.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 182941, 182935, 182929, 182923, 182917?\n\"Answer: -6*r + 182947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (120\/5)\/6*(-9)\/(-12). Solve -5*y - 9 = -2*n, 4*y + w*n + 0 = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64.711 and -0.01.\nAnswer: 0.64711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34 and 99\/488.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227499.\nAnswer: 3, 75833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203381056*o**3 + 112222744*o**2 - 2.\nAnswer: 1220286336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160\/39 + -523\/156. What is the closest to 2\/3 in 75, a, -3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -312, -558, -742, -882, -996, -1102?\n\"Answer: -3*a**3 + 49*a**2 - 372*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 1)\/(3\/9). Let d = t - 4. Suppose -d*p = -7*p + 175. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 39*k**2 - k - 84. Let z = -216 - -251. Is p(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63023 is divided by 21000?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 89476, 94974, 104138, 116968, 133464?\n\"Answer: 1833*a**2 - a + 87644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49649 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l = 48*l - 56. Suppose -4*u + l = 0, 0 = 5*c + 4*u - 1015 - 83. What are the prime factors of c?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 2*y. Suppose -5*q = -20, 0*q - q + 34 = y*w. Let z = w - 6. Solve 2*d + z*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-2\/3)))**(-4\/35) assuming y is positive.\nAnswer: y**(-8\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*d + 5. Solve 3*l = 2*n - n - 3, -d*n - 17 = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -9*n + 347. Let d = 61 - n. Let b(q) = -q**3 + 2*q - 1. Let k be b(1). Solve k*z = d*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Suppose -w*f - 12 = 0, -f - 9 = -n + 2*f. Solve n = q - 2*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(459)\/sqrt(3))**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 220, 259, 298, 337, 376, 415?\n\"Answer: 39*p + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 69412?\nAnswer: -27\/69412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*t + 5681000, -3*n - 1479007 = -t + 7042493. Round n to the nearest 10000.\nAnswer: -2840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*u + b - 7 = -344*u, 2*u + b - 13 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 3*k + k + k + 3*k - k + (-k - k + 3*k)*(6 - 2 + 0) - 99*k + 4695 - 4697 - 92*k in the form g + x*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 41. Suppose -2 = -o - p, -1 = 2*v + o. Is v at least 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*i + 5, 45 = 4*i - 5*m - 0*m. Let v(f) = 5*f - 6. What is the tens digit of v(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.27 + -29.37. Which is the biggest value? (a) 7 (b) 0.5 (c) -3\/4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6b59b (base 12) to base 6\nAnswer: 3031515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.055, -3\/4, 601 in increasing order.\nAnswer: -3\/4, -0.055, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -72059.17 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 930 and 540?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 215*k + 1116. Suppose -l - l = v - 19, -l = -3*v + 29. What is the remainder when z(-5) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28 + 13)*3\/(-9). Put s, -1, 8 in decreasing order.\nAnswer: 8, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(2 + (-21)\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.51549 and -9.53.\nAnswer: -4.9126197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -244775 rounded to the nearest one thousand?\nAnswer: -245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/26 + 6*i**3\/13 + 20*i**2\/13 + 24*i\/13 - 9. Factor w(o).\nAnswer: 2*(o + 1)*(o + 2)*(o + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) -0.4 (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1723388 is divided by 99.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 42. Suppose 0 = k*g + 32 - 128. Suppose -t = -2*t - 4*n + g, -5*t - 4*n + 80 = 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 ((-5)\/(-25))\/((-6)\/(-40))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280742016.\nAnswer: 2, 3, 491, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77 - 562*j - 52 - 24)*(-3*j**3 - 4*j**3 + 2*j**3) to the form t + x*j + q*j**3 + z*j**2 + w*j**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 42 = -4*c, -1673 = 19*a - 15*a - 170*c + 1917 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -11*z + 2242. Let r = z - 127. Let v(o) = -o**3 - 10*o**2 - 12*o - 10. What is the remainder when 32 is divided by v(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 8*o**2 + 13*o - 29. Is f(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from {p: 3, o: 6, w: 5, i: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (980\/63)\/35*12\/(-624).\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005895 to six decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 3, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:53 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 15, 2*r + 18 = t + 4. Let d be (t + -1 + -2)*1. Let m = -386 - -11964\/31. Which is bigger: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -1, -37, -4 in increasing order.\nAnswer: -37, -4, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**2 - 3\/4 + 12*p**3 - 21\/4*p = 0. Calculate p.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1340 = -110*l - 310 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-5))**(-17\/2)\/((l*l**(-3\/8)\/l)\/l*l*l)**(2\/35) assuming l is positive.\nAnswer: l**(713\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 54. Suppose x = 2*t - 38. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**8\/c)\/c)**(-7\/5))**(-1\/2) assuming c is positive.\nAnswer: c**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -9. Suppose j + m = 3*j. Suppose -j*z + a + 229 = 3*a, 2*a = -8. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-56)\/5)*10\/25.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.5, 0.06, 1 in increasing order.\nAnswer: -0.5, 0.06, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(90)*-2*6)\/((4*sqrt(8)\/sqrt(2) + sqrt(4))\/sqrt(2)))**2*1.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 325292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 + -6 - (4 - 7 - -4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63135 or 63109?\nAnswer: 63135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(13) - 1*(-1 + sqrt(13) - sqrt(13))) + -1 + sqrt(52))**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100162?\nAnswer: 2, 61, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5 + 11828*o**3 + 60286*o**2 wrt o?\nAnswer: 120*o**2 + 70968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g*g**(-14)*g*g**3*g**8)**28 assuming g is positive.\nAnswer: g**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*u**2 + (0 + u + 0)*(2*u - 3*u + 2*u) + (882*u - 208*u - 437*u)*(-6*u - 2*u + 4*u).\nAnswer: -945*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 21418.998 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -6. Suppose b = 0, 2*b = -3*s - 3*b - 120. Let k be 1\/5 - (-6)\/s. Is u at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3998 divided by 1999.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*x - 16 = 0, 4*k = -4*x - 15 + 71. Let p(u) = u**2 - 9*u + 4. Let d be p(k). Let g(f) = f**3 - 5*f**2 - 7*f + 6. Let r be g(6). Sort -2, d, r.\nAnswer: -2, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -22691.743?\nAnswer: 22691.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495748 is divided by 85?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66600, 66601, 66602, 66603, 66604?\nAnswer: 66605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * -20\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -369, -1456, -3269, -5808, -9073, -13064, -17781?\n\"Answer: -363*w**2 + 2*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 3*z**2 + z + 7. Calculate the remainder when f(-5) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (355130\/4620 + -77)*(-6)\/(-16) + (-1)\/(-16).\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14313, 14316, 14319, 14322, 14325, 14328?\n\"Answer: 3*y + 14310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 3922 - 4155 = -157*q. Solve 4*p + q = 5*l, -5*p = -4*p - 4*l + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13544746.\nAnswer: 2, 23, 277, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96083430 a multiple of 5163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + g**3 + 20*g**4 + 2*g**2 + 15*g**4 - g - 44*g**4 - 1 to i*g**4 + m + c*g**3 + s*g**2 + n*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(91) + 6*(sqrt(91) + -5*sqrt(91)) + sqrt(91)))\/(1*(-2*sqrt(7) - sqrt(7)) - -3*sqrt(28)).\nAnswer: -110*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1125 - -1799. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1229152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 - 3*n**3 + 75 - 75 + 27*n**3.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 24*z - 1. Let m(d) = -d**3 + 5*d**2 + 7*d - 4. Let c be m(6). Does 17 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -5*a + 3459. Let g = -778 - a. Let -t**2 + g - t**3 - 375 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + ((sqrt(25)\/sqrt(5) + sqrt(5))*4)**2) - (sqrt(980) - 2*sqrt(980))\/(2*sqrt(4)*-4).\nAnswer: -1585 - 7*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -858 by -4.\nAnswer: 429\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2, t = 2506*s - 2502*s + 8. Solve 3*k - 32 = -4*q, -4*q + 6 = -t*k + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 13) to base 6.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 290*f - 7446. Determine y(112).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -13*n - 7*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0, 0.06, 2127557?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.058 + 0.058. What is the nearest to s in -18, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - 373?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39.5 - 50. Let u = n - -10. What is the biggest value in 1, 0.06, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1534 + 1534.3. Which is the third smallest value? (a) 6 (b) -1 (c) 5\/2 (d) 4 (e) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 20*d**2 - 67*d - 2418. Let w be z(-22). Let r(a) = -a. Suppose -f = 4*o - 3, -4 - 2 = -2*f + 3*o. Let q(k) = 7*k + 1. Give f*q(b) + w*r(b).\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.2, -2\/3 in descending order.\nAnswer: 6, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20\/7 (b) -22 (c) 1\/4 (d) 4 (e) 0 (f) -0.0398\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62577909 is divided by 44100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5386344463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/192244 or 0?\nAnswer: 3\/192244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164568, 164575, 164582, 164589, 164596?\nAnswer: 164603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-4 + 4)\/(-3 - -4). Let n(t) = -4*t - o*t + 3*t + 3*t. Let a(q) = 0*q + q**2 + 0*q. Calculate a(n(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 94*p**3\/5 + 19*p**2\/5.\nAnswer: -p**2*(p - 19)*(5*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, c: 2, y: 4, r: 1, h: 3}. What is prob of sequence chu?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/15)\/(3\/10). Let p(n) = n - 3. Let c be p(4). Let y = 7842 + -7837. Put c, 2, f, y in descending order.\nAnswer: y, f, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-10)*(-5)\/14. Factor 0*s**3 + 0*s**2 + 0*s + 0 + f*s**5 - 2\/7*s**4.\nAnswer: 2*s**4*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -552 - -5607\/10. Let z = -8729\/19220 + 4\/961. Find the common denominator of o and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -106214, -213276, -320338, -427400?\n\"Answer: -107062*n + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*21\/308)\/(-18*(-14)\/3024)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.2779 and 5.6208429.\nAnswer: 4.3429429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21574132 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.82 + 175.12. Let d = u - 173. Which is the second smallest value? (a) -0.4 (b) -147 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -20\/29, -0.3, 5, -0.4, -3, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2957 + -2956. Which is the fourth biggest value? (a) -196 (b) 4\/3 (c) i (d) -3 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6416817?\nAnswer: 6416817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/80? (a) 105 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43747543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -956*d*k**3 + 4*d*k**2 + 3*d*k + 6*k**3 - 5349*k - 2 wrt d.\nAnswer: -956*k**3 + 4*k**2 + 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -87, 1, 7.\nAnswer: -87, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, h: 6, e: 1}. Give prob of sequence eqq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 30 = 82. Let k be w\/65 - (4\/(-10))\/1. Suppose k = -2*x + g + 13, -5*g = -3*x - 2*g + 27. What is the least common multiple of 52 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152 and 18?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -385*b**2*v**3 + 230*b**2*v**2 - b**2*v wrt v.\nAnswer: -2310*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6968 - -6984. Which is the closest to d? (a) -2\/5 (b) 2\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 155, -0.4 in decreasing order.\nAnswer: 155, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = -469*x + 437*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (22 - 4) - 3. Suppose x*o = 12 + 24. Factor -9*i**3 - 6*i**o + 11*i**3 + 8*i**2.\nAnswer: -4*i**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 + 5859*t - 5859*t.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2\/1 + 857 + -841.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-44)\/28)*(-14)\/(-3). Let x be 1\/(((-4)\/(-744))\/((-8)\/r)). Let p = 208 + x. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + 4 + (sqrt(1573) - -1*sqrt(1573)) + -3)**2 + -5.\nAnswer: -88*sqrt(13) + 6291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - s. Let c(h) = -1111*h**5 - 12*h**2 - 4*h + 234. Let g(o) = c(o) - 6*r(o). Find the second derivative of g(p) wrt p.\nAnswer: -22220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-31)*s\/(s*s\/s**4*s)*s**(-19)*(s\/(s\/(s\/(s**14\/s))))\/s assuming s is positive.\nAnswer: s**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -733*j*m**3 - 2*j*m**2 + 16*j*m - 61*j + 2*m**3 + 2*m wrt m.\nAnswer: -4398*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 124\/24 - (-2)\/(-12). Let x = 5 - 2. Suppose 0 = 4*d - 2*z - x*z + 7, -2*d + 3*z = 5. Calculate the highest common factor of d and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3624 - -3571. Let r = 101 + -34. Let d = r + g. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/417 + 0 + 0. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, 1\/4, 4, 0.29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31 and -328.377.\nAnswer: -359.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8941664)\/(-115) - 3\/5) + (12 - 12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*q**2 + 18*q**2 + 40*q + 30 - 30 wrt q?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 5. Let q = 456093\/2 - 228046. Sort q, 4, 3, h in ascending order.\nAnswer: h, q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.83 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489498741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.67 times -9\nAnswer: 15.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b*o**4 - 9*b*o**2 - 6*b - 35*o**4 + o**3 - 1 wrt o?\nAnswer: -120*b*o - 840*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/((-25)\/(-20)))\/((-4)\/110). What is the common denominator of (47\/(-2))\/((-9)\/2) and 165\/36*h\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -16981*l. Let k(x) = 20*x**2. Determine t(k(d)).\nAnswer: -339620*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 43 + 1 = 4*w, 4*s = -4. Which is the third smallest value? (a) w (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(3\/10)))**(-8\/3))**47 assuming q is positive.\nAnswer: q**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4\/11 + 294*c**3\/11 + 10946*c**2\/11 + 10074*c\/11 - 21316\/11 = 0.\nAnswer: -73, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/5))\/(h*h\/h**(-2\/11))*h**(-2\/17)*h**6\/h*((h**1)**(-15))**(2\/109) assuming h is positive.\nAnswer: h**(369473\/101915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -58010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 1641231 = 629169. Round m to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 446\/33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2133002 - -101013?\nAnswer: 2300021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*x**2 + 50*x**2 - 433*x**2 - 324*x**2.\nAnswer: -959*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + 4*f**2)*(f - 1 + 1) + 5*f**3 - 6*f + 6*f.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 134? (a) 0 (b) -48 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = l + 3*k, 0 = -19*l - 20*l + 40*l + 6*k + 3*k + 77 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.7856 and 1915.\nAnswer: 1916.7856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.4, -3441, -5, 4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -696 * -3.\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 26) + 6 - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 3813 + 14157 = 0. Let b = -428 - g. Factor 6\/7*f**2 + 0 + 2\/7*f**b + 4\/7*f.\nAnswer: 2*f*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 405682995 and -0.1.\nAnswer: 405682994.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*z + 4*z + 17*z)*(-z**3 + z**3 + z**3).\nAnswer: 67*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 + 4*w - 4. Let h be t(5). Let y be 76 - (-5 + 1) - 0. Calculate the highest common factor of h and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 0, -2*q = v - 0 - 1. What is the least common multiple of 22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 + 1 - (-179 + -4968)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 2101 + 349. Find the common denominator of 1\/45 and 680\/k - (-1 - 14\/(-10)).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 19 = -x, -2*x + 13 = -z - 0*z. Solve -x*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 2*n)*(-6 + 34 + 85)*(-2 + 3 - 5).\nAnswer: 452*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0)*(82 + -90).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 604 - 7*c - 3*c**3 + 8*c - 2*c - 95 to the form z*c**2 + n*c**3 + f*c + b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.74 - 0.74. Let y = -0.2 - -0.6. Put -4, 2, y, f in increasing order.\nAnswer: -4, y, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -72, -87, -86, -69, -36?\n\"Answer: 8*z**2 - 55*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0399 - -82.0399. Which is smaller: 0.2 or y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123440433 - -13?\nAnswer: 123441001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43360762559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/8)\/((-25760)\/17664)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 - 4*x - 4. Let m be p(-2). Suppose -21*a + 17*a = m. Let s be a\/16 + 10\/16. Put 1\/6, s, -0.1, 0 in increasing order.\nAnswer: s, -0.1, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.035 - -16.842\nAnswer: 16.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 25 + 35 + 27*q**2 + 35*q.\nAnswer: 5*(q + 1)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5821 by -21.\nAnswer: -5821\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 8*j + 25. Suppose 0*z - 2*k = 3*z - 25, j*k - 40 = -3*z. Let s be 7600002 - 2*(-4 + z). What is s rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 1, r: 1, a: 2, b: 8, l: 2}. Give prob of picking 1 a and 1 b.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, h: 5}. What is prob of sequence kkkh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14636 + 8710. Is 4 + o\/(-5) + (-2)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*f + 1624 = -21*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/30 + 13\/2. Let u = -7 - s. Let g be 4\/(-26)*(u + 13). Is 0 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 + 7*j - 12. Let r be i(6). Calculate the highest common factor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1657, 1, -24, -1 in increasing order.\nAnswer: -1657, -24, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r**3 - r**2 + r - 1. Let m be t(1). Let y be (m\/8)\/(3\/84). Suppose 2*p + 3*p = 2*q + 38, -5*p + 5*q + y = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9806*b - 39217. What is d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26a (base 12) to base 7\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -203\/427680 and -95\/45792.\nAnswer: 22667040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6671 is divided by 70\/14 - (9\/(-3) - 81).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 39*g + 705. Let z be r(-18). Sort 0, z, 5, -1.\nAnswer: -1, 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-3 - 3) + 4497. Suppose -19*j - l = -10*j. Let d be j\/3*(5 - (-1 + 579)). What is d rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 12:33 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 5*z - 15 + 10 + z**2 + 8. Let u be (-3)\/1 - (-21)\/(-7). Let s be r(u). Are s and 15 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(0 + 5*n - 4*n + 3) + (3 - 1 - 4)*(-3 + 3 - 2*n).\nAnswer: 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 12. Let a be p(8). Let w be (a + 0)*(-3 + (-30)\/(-9)). Suppose 0 = u + 2*v - 0*v - 24, 3*v = 2*u - w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106829 is divided by 35585.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 507\/(-84)) + (-1*1 - (-636)\/371)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, k: 5, n: 6}. Give prob of sequence nkk.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 629, 1174, 1611, 1952, 2209, 2394, 2519, 2596?\n\"Answer: 2*y**3 - 66*y**2 + 729*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126258 - 80855. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25671 and -21372.\nAnswer: -47043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f + 108*f - 24304 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/61173480 and 137\/80070.\nAnswer: 61173480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(320)*-3)**2.\nAnswer: 96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/(-72))\/((-9)\/18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 22*d**2 + 39*d + 10. Suppose 2497 + 2974 = -203*x + 1411. Determine j(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -339*i**4 - 227*i - 353786 wrt i?\nAnswer: -1356*i**3 - 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*y + 9 = 6*v, 2*y = -10. Let z(n) = n**3 - 3*n**2 - n + 3. Let r be z(3). Suppose r = 2*x + 4 - 6. Sort x, 0, v in increasing order.\nAnswer: v, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/21)\/((-6)\/9). Let o = -96.55 - -1.15. Let w = o - -95. Sort 2, -3, p, w.\nAnswer: -3, p, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2904 and 1952896?\nAnswer: 64445568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9f4ef8 (base 16) in base 9?\nAnswer: -21572528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 4\/7 (c) 0.4 (d) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41597 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 14*i**2 - 13*i + 18. Let r be n(12). Let c = 188 - r. Is 38 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15b66 (base 12) to base 4.\nAnswer: 13210332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 347d72 (base 14) in base 10?\nAnswer: 1788992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 1591 = -3129. Calculate the greatest common divisor of b and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00810664768 to 4 dps.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 1.457.\nAnswer: 32.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/41, -2\/5, -3, 7, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29121, 29118, 29115, 29112, 29109, 29106?\n\"Answer: -3*o + 29124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*i + 42180 = 0, -1072 = -3*b - 2*i + 41103. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*k**4 + 2*k + 1157*k**2 - 1157*k**2 wrt k.\nAnswer: 276*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-8 - -5)) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 34 = 7*h - l, 4*h + 7*l + l + 71 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 3136*a**2 + 3*a + 3136.\nAnswer: -(a - 1)*(a + 1)*(3*a + 3136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000702212042 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6 + ((-60)\/(-9))\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -12. What is the third smallest value in 0.1, 1\/2, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-280))\/((-34)\/(-272))*7\/(-66)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 - -101000001110?\nAnswer: 100111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (14 - -12) + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57.32 + -57.3. What is the closest to 0.4 in n, -5, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + c**2 + 1 + 10*c**4 + 2*c**2 - 9*c**4 as f*c + p*c**2 + k*c**4 + s + a*c**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 90*i. Let n(f) = 18*f. What is -2*c(s) + 11*n(s)?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 759 and 125442?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 77*k + 1021. Give v(9).\nAnswer: 1714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 3:15 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 16*o + 36 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 0.2, 0.4, 2, -4, 7, 63\/41 in increasing order.\nAnswer: -4, 0.2, 0.4, 63\/41, 2, 7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 110700*a**3 + 0*a**2 - 6793*a**3 + 0*a**2.\nAnswer: -117493*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19)*1)**2 + sqrt(931) + (sqrt(931)*1 - sqrt(931))**2.\nAnswer: 16 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 42 = -4*z, -y - 3*z = -7*z - 29. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(-4*((2*sqrt(38)\/sqrt(2) - sqrt(19)) + sqrt(19)))**2 + (-1 + sqrt(76))**2*-2 + ((sqrt(95)\/sqrt(45))**2 - (sqrt(209)*-2 - sqrt(209))\/sqrt(11)).\nAnswer: 11*sqrt(19) + 20539\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5493190 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 + 15 = 0. Suppose 8*d = k*d - 9. Solve 2 + d = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Let z be (-117)\/27 - s\/(-6). Let k = 15 + z. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**2 - 17*k**2 + 49*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21d (base 14) to base 12.\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -728*g**4 + 1359*g**3 - 3656267*g wrt g.\nAnswer: -8736*g**2 + 8154*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0659 + -512.0659. Let l = y - -500.73. Let h = l + 1.27. Is h greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3909, -7822, -11727, -15618, -19489, -23334?\nAnswer: -27147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7413623 and 163261.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from pppppssppssspspsssss?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**3)\/(l*(l\/(((l\/(l**(1\/66)*l)*l)\/l)\/l))\/l) assuming l is positive.\nAnswer: l**(-265\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.02, -48, -2\/13 in decreasing order.\nAnswer: 0.02, -2\/13, -2\/11, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -103, -88, -57, -4, 77?\n\"Answer: z**3 + 2*z**2 + 2*z - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*x = -x + 323, 4*a - 344 = 4*x. List the prime factors of a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4380120*c**2 + 7228735*c + 3.\nAnswer: -8760240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 675 and 36.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 - 7) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 11. Let k be w(4). Solve p = -0*p - k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.3 - 9.5. What is the nearest to 0.3 in 2\/3, a, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64702430 to the nearest 100000.\nAnswer: 64700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -57 + 81. Calculate the common denominator of 101\/4 and 202\/(-112) + 6*q\/48.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3\/4 + 141600765*i**2\/4 - 1670898408050625*i\/4 + 8354488500234375\/4 = 0?\nAnswer: 5, 23600125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2 and (15\/(-360))\/(1\/73).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 8\/5 + 2*x + 2\/5*x**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2404989630 and 2.\nAnswer: 2404989632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.5, 8, -24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 30 = 2*p, 7*n + p - 93 = 3*n. Solve -42*w = 4*d - 46*w - n, 4*d - 15 = -5*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000554 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from yzzzzzyvzzvzvvvzvv?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 619 + -119. Suppose 6*s - t + 104 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2330293 and 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/181808 and -95\/656988.\nAnswer: 28907472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205 + 21151?\nAnswer: 21400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5357548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 279 in -2, 2, 932?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiwiuwuw. What is prob of sequence wi?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.612 + 7.61195661. What is y rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s - 10*s - 12*s + 20*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 362048*o**5 + 779051*o.\nAnswer: 7240960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5370091 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwbpup. Give prob of picking 2 p and 1 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -189?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:39 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdg when three letters picked without replacement from dbg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, w: 17}. What is prob of sequence wll?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from sssqsssqqs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/33 and ((-16)\/18)\/4 + 64\/126.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*t - 36*t - 468. Suppose -12*l + t = l. Which is bigger: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 510\/743 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1161*n**2 - 4*n - 2. Let u be s(-2). Suppose -10*t + u = 20*t. What are the prime factors of t?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 8) in base 10?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 92325 divided by 3\nAnswer: 30775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2. Let d(b) = b**2 - b - 1. Let u(p) = -2*p**2 + 3*p + 3. Let h be (10 - 1)\/((-6)\/4). Let z(n) = h*d(n) - 2*u(n). What is l(z(g))?\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/1*(10 - 11). Let q = m - -10. Let o be (-3)\/((-5)\/(-2) + -1). Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -10*j + 968. Let c = j + -83. Solve c = -4*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 2*d. Suppose 2*q + 2*q = -4. Let g be h(q). Suppose 2*m + 16 - 102 = g. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12*b**3 - 3*b**2 + 4*b - 3. Let n(w) = w**2 + w + 1. Let o(d) = h(d) + 3*n(d). Find the second derivative of o(q) wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43246842 is divided by 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -20133?\nAnswer: -20132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - v. Solve c = -v*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54217 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*i - 3*m + 6*m, -5*i + 3*m + 23 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.01 rounded to zero decimal places?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5516828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*-0.347\nAnswer: -0.06593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-510)\/6460*16*(-1)\/12*2?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 917\/3553 - 54\/323. Which is the closest to 21? (a) -2 (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s + 171. Let x be h(16). Let f(o) = -4*o**2 - 6*o - 9. Let a(r) = -2*r**2 - 3*r - 4. Give x*a(i) + 2*f(i).\nAnswer: 2*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -100, -150, -220, -310, -420?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15.17+-5\nAnswer: 10.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*(-2*s - 3 + 3)*(-2 - 2 + 3) + s + 3 - 3 + (2*s - s + 3*s)*(1 + 2 - 2) in the form b + h*s and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h + 3*h - 12*h + 2*h - 7 - 6. Give w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179697, -179688, -179679?\nAnswer: -179670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3550436, 3550401, 3550366, 3550331, 3550296, 3550261?\n\"Answer: -35*v + 3550471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.3, -3\/7, -21\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwytpkyypyky. Give prob of sequence pt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1621*m - 168 = -1628*m. Calculate the remainder when 334 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 472 (b) 38 (c) -1 (d) 0.1 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eueueueqeeqeeu. What is prob of sequence qeuu?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -228, -546, -982, -1530, -2184, -2938?\n\"Answer: c**3 - 68*c**2 + 3*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Suppose k = t*k. Suppose 2*v - v = k. What is the smallest value in v, 0.2, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + 52.63. Let r = 47 - h. Let i = 4.4 + r. Sort 1, 0.2, i in increasing order.\nAnswer: i, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*m + 33 = 0, -5*w - 18 - 22 = -5*m. Let q = 69 + w. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 take away 198.051092994?\nAnswer: -198.126092994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 - 10.16. Let d = g + 19. Let n = d + -15. What is the second smallest value in n, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2891 - -861. What are the prime factors of p?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10 - 31 + 11 + 7*o + 0*o. What is the tens digit of p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w*w**17)*w*w*w*w*w*w*w)*(w\/w**(6\/7))\/w)**(-39) assuming w is positive.\nAnswer: w**(-2496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -45*w - 1143. Let b be n(-26). Solve b = 5*t + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -984, 1452, 4, -1, 5 in descending order.\nAnswer: 1452, 5, 4, -1, -984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19009*l + 24 = 5*a + 19011*l, -2*l = -2*a + 18 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/24 + l**2. Let n(a) be the first derivative of 0*a**2 + 4\/3*a**3 + 0*a + 2. What is k(n(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1005, 0.1, -0.08, -1, -9, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90831 - -148160. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*u**4 - 8*u**2 - 904041*u.\nAnswer: -1740*u**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -114, 3, -0.3, -4, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 8 - 18*l**3 + 7 + 2*l**2 + 17*l**3 to the form u + v*l + i*l**2 + f*l**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -205 or -206?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 50*r**2. Let f(w) = -7*w + 8. Let h be f(0). Let t(z) = -z**2 - z + 1. Let q(g) = -12*g**2 - 8*g + 8. Let b(s) = h*t(s) - q(s). Determine m(b(j)).\nAnswer: 800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a - -477?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 268 - 266. Suppose 7 - 2 = m. What is the third smallest value in l, m, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-10) + 4\/20. Let t(j) = 9*j + 1. Calculate t(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, l: 1, t: 1, h: 1, k: 1}. What is prob of sequence hkt?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -1490?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(p + p**2 - p)*(-43 + 3*p**2 + 42 - 6*p**2).\nAnswer: 6*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904306 is divided by 106?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6127879170?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-114)\/(-513))\/(70\/69) and 92\/315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173 + 24777925\nAnswer: 24777752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**6\/d*d*d)**(-6\/23))**(24\/5))**46 assuming d is positive.\nAnswer: d**(-2016\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2088*m = 2070*m + 450 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29959370 divided by -4\nAnswer: 14979685\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -108 - -4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398989, -398991, -398995, -399001, -399009, -399019, -399031?\nAnswer: -399045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxnpnnxnhxhxhnn. Give prob of picking 3 n.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 162*y**2 - 2*y - 162.\nAnswer: 2*(y - 1)*(y + 1)*(y + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 22. Which is the closest to 1? (a) -0.2 (b) p (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 3. Give j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. Suppose 20 = 5*i, 0 = -3*o - 111*i + 114*i - 6. Calculate the smallest common multiple of 2 and w + o + -4 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20110 + -1200212?\nAnswer: -1221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuccc. What is prob of sequence uc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/900 and 86\/195.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192)*-3 + 3).\nAnswer: -6 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(637)*-1 + -3 + -4)**2 - (3 + 5*(sqrt(637) + 0))**2).\nAnswer: 112*sqrt(13) + 15248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c6 + 180?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-1 - sqrt(119))*-6)\/((sqrt(77) - -2*sqrt(77))\/sqrt(11)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236742 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000147053 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 3, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f + 5. Let q = -588\/5 - -118. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) - (-2)\/(-6). Suppose -4*u = -3 + 11. Let d be (2\/(-20))\/(u\/(-4)). Which is the closest to 0? (a) x (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h + 5. Let k(b) = 7*b - 3. Calculate -4*k(m) - 3*o(m).\nAnswer: -4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43522 or -43521?\nAnswer: -43522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110.41 - 113. Let f = k - -2.589873. What is f rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27\/98 in 1\/2, -5, -1, -3, 0.1, -121?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -32. Let x(i) = -i**3 + 4*i**2 + i + 2. What is the least common multiple of 40 and x(p)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 16*k = 2580. Suppose -q - 3*g = 251, 2*g - 231 = q + g. Let c = q - k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-70)*20\/138?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + 3*(sqrt(832) + 0 - sqrt(832))**2*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28792 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 - 31*v**2 + 55*v + 643. Calculate u(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 4. Let h be v(0). Let x(p) = 2*p + 15. Let a be x(0). Suppose 9*o - 4*o = a. Solve -o*c - 3 = -h*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**5*q - 8*k**2*q**2 + 588855*k**2 - 2*k*q - 123*k - q**2 + 2865*q - 2 wrt k.\nAnswer: 20*k**3*q - 16*q**2 + 1177710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkqqqqkqqqqqqqqqqqq. What is prob of sequence qqk?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13951970 to the nearest integer?\nAnswer: 3735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 30*z + 8. Is 40 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 4\/5 (b) 0.047 (c) -42 (d) 2 (e) -2\/7 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.034 and -159.\nAnswer: -155.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -27.1. What is the nearest to x in 0.3, -1\/2, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88324234.\nAnswer: 2, 2273, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -19\/5 (c) 1\/6 (d) 147 (e) 32 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.61 + -1.69. Let r = d - -9.297872. Round r to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-14))\/((-106)\/(-28) + -4). Let p = 53 + -31. Suppose -4*a + 12 = 32, -2*j - p = 2*a. Put 5, i, j in decreasing order.\nAnswer: 5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*j - 7 = 0, u - 3*j = -4 - 5. Let t = 80 + u. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 33. What is the greatest common factor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 25 = -4*s + 30, 0 = -s - 3*h + 19. Suppose s + 1 = f. Let b = -15 + f. Which is smaller: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/10 + p**4\/12 - p**3\/2 - 5*p**2\/2 + 12*p. Let q(h) = -2*h**3 + 2*h + 4. What is 2*o(z) + 3*q(z)?\nAnswer: -2*z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - g - 2. Let h be p(-6). Let s(v) = -v**3 + 4*v**2 + 2*v - 5. What is the remainder when 1*((-195)\/13 - -19) is divided by s(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3728, -3705, -3682, -3659, -3636?\nAnswer: -3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - j + 4)*(0*j + 2*j - j) + 69 - 69 - 19*j**2 + (-4*j**2 + 2*j**2 + 0*j**2)*(-7 - 2 + 8).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2172 - 588. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 3674710.\nAnswer: 11024130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 20 = -3*m. Let x(n) = 2 - 3*n**2 - n**2 - 3*n**2 - 12*n**2. Let r(i) = -29*i**2 + 3. Calculate m*r(q) - 8*x(q).\nAnswer: 7*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -14 + 19. Suppose 10*x + 39 + j = 0. Do -36\/13 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 101.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 17. Let r = 12 - 2. Calculate the remainder when l is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, w: 1, g: 2, m: 3, n: 4}. What is prob of sequence mwnm?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*((-91758)\/3280 + 28)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 574132188 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5440?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 45130*j**2\/3 - 90257*j\/3 + 45128\/3.\nAnswer: -(j - 45128)*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -3. Let o be (-2)\/2*(-6)\/(-2). Let d = o - s. Solve d = -c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-20) - 0)*5. Suppose 3*f - 42 = -j, -l*f + 68 = -2*j + 4*j. Solve 9*k - 14 = 4*k + c, 5*c = 5*k - j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -646 - -651. Solve 4*t = 12, w*n + 4*t + t - 30 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 13*h + 3. Let i be z(13). Suppose -s - 19 = i. Let l = s + 18. Round l to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/18 + (-3 + 6)\/(-27). What is the third biggest value in 0.5, 0.2, z, -1.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4440*y**3 - 430675*y**2 + 485*y = 0.\nAnswer: -97, 0, 1\/888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 8*d.\nAnswer: -d*(d - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 24 - 4. What is the units digit of ((-33)\/(-2))\/((-15)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/33111 and -25\/2547?\nAnswer: 33111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(80) + (sqrt(80) + -3 + sqrt(80))**2 + sqrt(80) - sqrt(80))*-3*1 - 3*(sqrt(80) + 2 + -5 + (sqrt(80) + -2 + -1)**2).\nAnswer: -5193 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 23. Let x(k) = -2*k + 4. What is x(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -1 - (1012 + -1030).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5\/4 (b) -5 (c) 0 (d) 10 (e) -2 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02832934 rounded to four dps?\nAnswer: 0.0283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 4*y - 7*y + (0 + 0 - 3)*(2*y - 5*y + 10*y).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w + 2*w**2)*(-2*w**2 + w**2 - 2*w**2) - 4081*w + 2060*w + 1891*w + 2*w**4 as m + p*w + t*w**3 + d*w**2 + y*w**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 176 - -154?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(3*g**2 + 6*g**2 - 3*g**2) + 0 + 0 + 2*g**2 - g**2 + 4*g**2 + 0*g**2 + (g + 5*g - 3*g)*(g - g - 2*g) + 0*g**2 - g**2 + 2*g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 9. Suppose -74*s + 69*s - 20 = 0. Let m(h) = -3*h + 5. Determine s*y(i) + 7*m(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11400*n + 22796*n - 11435*n.\nAnswer: -39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23.6 (b) 3 (c) -5 (d) -5\/6 (e) 5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = -386. Suppose 0 = 2*b - 4*v - y, -3*b - 4*v = -0*b - 559. Let t be 3*2\/((-4)\/(-14)). What is the highest common factor of b and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7363 is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 929, 2065, 3655, 5699, 8197, 11149?\nAnswer: 14555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.34 + 1.34. Which is the nearest to l? (a) -5 (b) -0.54 (c) -2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -216*h - 17. What is q(1)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 191\/16456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 26. Suppose -4*p + 68 = -2*s - l*s, -4*p = 5*s - 95. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7\/3)\/c)\/(c*(c**(-3\/10)\/c)\/c)*(c\/c**8)**4)**(-2\/121) assuming c is positive.\nAnswer: c**(901\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d**2 + 5*d + 14. Let r(a) = a**2 + 1. Let s(l) = k(l) - 5*r(l). What is the remainder when s(-6) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3. Let z(y) = 2*y**2 + 9*y + 4. Let v be z(-4). What is g(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*q + 2048 = 206*q - 2683*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/286675401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let k = 4 + -7. Sort i, k, 1.\nAnswer: k, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = -2*c. Let i be (-75)\/7 - 2\/7. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 4*w**5\/5 - 4*w**3 + 4*w**2 - 2. Solve y(c) = 0 for c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 4 - (3 - 11). Solve -g*d - 23 = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 195870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h - 3470192. Let k = h + 17548. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 396\/30*(-20)\/(-6). Let k = x + -44. Solve k*f + 2*f - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 33 = 3*f, -6*n + 9*n + f = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 1044.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 56 = 16. Let f be v\/1128*(-8)\/18. Let k = f - 735\/94. Find the common denominator of -73\/20 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 7 - (-5 - (0 - (-10 - -6))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -a?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -89390 + 44711 + 24*t + 44675. Give w(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -272 or -271?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59315 divided by 5.\nAnswer: 11863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 - 499*m**2 + 1512*m**3 + 497*m**2 + 98 as j + z*m**3 + f*m + l*m**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14369704 and 426544.\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -624, -17828, -46504, -86652, -138272?\n\"Answer: -5736*t**2 + 4*t + 5108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*v - 36*v + 5653*v**2 - 34*v - 8*v - 5668*v**2.\nAnswer: -15*v**2 + 51*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 25, -4, 5.\nAnswer: -4, -1, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17655.6 + 17656. Sort -2\/7, d, 8\/3, -2, 5 in ascending order.\nAnswer: -2, -2\/7, d, 8\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -31. Let j be 4*-1*20\/(-16). Put m, 0.5, j in decreasing order.\nAnswer: j, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 9:05 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 18 = s, -4*s - 3*b - 48 - 9 = 0. Let q(j) = -j**3 - 14*j**2 + 14*j - 7. Suppose 0*p + 12 = 3*p. What is the lowest common multiple of q(s) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-15 + -3) - -10 - (-35 + 4 - -7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 833191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2)*1 - sqrt(2)) + 6*sqrt(2)*-2)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9908875862 and 82.9?\nAnswer: 9908875944.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**19*y*(y**25*y)\/y)\/(y**(2\/15))**(4\/39) assuming y is positive.\nAnswer: y**(26317\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.533 minus 208565?\nAnswer: -208566.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 2077, 4691, 8365, 13105, 18917, 25807, 33781?\nAnswer: 42845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 - -37.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -1.31, -7, -3, -97\/4, 3?\nAnswer: -97\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14414444 + -1?\nAnswer: 14414443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495636218.\nAnswer: 2, 7, 11, 3218417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 3*r - 5. Let f(o) = -7*o**2 + 5*o - 10. Let l = -17 - -15. Let n(p) = l*f(p) + 5*i(p). Calculate n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 0, 2331.939, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4216013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-248)\/248*-4*3\/90?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41821160 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1918, -1924, -1930?\n\"Answer: -6*t - 1912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/40 and 111\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -61. Let o be (-44)\/(-6) + 16\/24. Calculate the highest common factor of o and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (0 - -3))*3\/6. Let i be (-6)\/6*-7 + n + -5. Calculate the highest common factor of 57 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-3) + 1 + -5. Suppose -d*w + 6*w - 3*x + 86 = 0, -2*w = -4*x + 48. Round w to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1097 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/9*-3)\/((-4)\/(-36)*6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let o(y) = 1231*y**2 + 5*y - 3. Calculate o(v(h)).\nAnswer: 1231*h**4 - 5*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*a + 163*a - 72*a = 1258 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**(-4\/5))**(-7) assuming p is positive.\nAnswer: p**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - b**3 - b**3)*(-2 + 1 + 4) + (-2*b**2 + 2*b**2 + 2*b**2)*(1 - 1 + 2*b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -5)*(-5 - 0). Let f(u) = -u**3 - 6*u**2 - u - 12. Let g be f(q). Let h be (1 - g\/(-12)) + 1. Which is the nearest to 2\/3? (a) h (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, s: 3, a: 3, i: 1, m: 2, c: 1}. Give prob of picking 1 s and 1 c.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**7\/2520 + j**6\/80 - 13*j**5\/120 + 17*j**4\/4 + j**2 + 146*j. Let n(c) be the second derivative of l(c). Give n(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*q + 0*q = 6, 4*g - 5*q - 81 = 0. Let j = 30 - g. Calculate the highest common divisor of j and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 19*s - 80. What is q(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111808 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 637, 576, 445, 208, -171, -728, -1499?\n\"Answer: -6*o**3 + o**2 - 22*o + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h + 60. Let q be 7\/(-7) - 22667\/h - -1. Let t = 1887 - q. Calculate the common denominator of -43\/10 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + j - 7. Suppose 0 = 10*u - 11*u. Calculate l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0 - 1\/40*x**5 + 0*x - 1\/16*x**4 + 0*x**3 + 5*x**2. Factor t(m).\nAnswer: -3*m*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 10:49 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.74 + -1. Let o = m - -0.16. Suppose 16 = -2*z - 4*l, 8*l = z + 13*l + 23. Which is the fourth smallest value? (a) 1\/7 (b) z (c) -4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(77)\/sqrt(7)) + -3 + sqrt(40)\/sqrt(8).\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 12*f**2 + 19*f - 11. Let m be l(-11). Let z = m + -33. Let i be (-2*1)\/(3\/z*4). Calculate the greatest common factor of i and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6063?\nAnswer: 3, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4849 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 296519.\nAnswer: 4\/296519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 814411 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82706 in 1, 1\/2, 1\/7, 4, 8\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k. Let c(u) be the second derivative of -u**3\/3 + 97*u**2\/2 - 6*u + 15. Give a(c(w)).\nAnswer: 8*w - 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 14*d**3 - d + (-4*d**2 + 2 - 2)*(d - 3*d - 3*d) to f + h*d**3 + u*d**2 + n*d and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**6\/18 + 1008*q**5 - 7620480*q**4 + 30725775360*q**3 - 69686058516480*q**2 + 84292256381534208*q + 2921. Factor w(s).\nAnswer: -(s - 3024)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -3, 5 in decreasing order.\nAnswer: 5, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1007089 - 506244. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65334.\nAnswer: 2, 3, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*m - 20, 29 = m - 5*f + 9. Let g be ((-1)\/2)\/((-3)\/18). Solve 0 = -3*h + u - g, m*h + 2*h = -3*u - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0337 - -1.37.\nAnswer: 1.4037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 97 (b) -1\/8 (c) 2\/13 (d) -0.07 (e) -1076\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 533*t - 273. Let s(k) = -33*k + 17. Let c(n) = -4*j(n) - 65*s(n). Let m be -5*(-1 + 16\/(-20)). Does 26 divide c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 463*m - 26719. Give n(-110).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2143 - -141?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 506729, 506809, 506875, 506921, 506941, 506929, 506879, 506785?\n\"Answer: -j**3 - j**2 + 90*j + 506641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-17 + 58 + (110 - 54))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jupupuuppupujjuj. What is prob of picking 2 j and 2 u?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489479 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggxgggapngxgggaaggg. Give prob of picking 1 n, 1 g, and 1 a.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30261 and 61701.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {c: 6, v: 4, w: 1}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*v + 1 = 8, 4 = 4*v. Suppose -u*i - 110 = -i. Let r be (-48)\/(-22) + 10\/i. Solve 3*s - 2*h = -s - 10, -r*h + 10 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-2 + 2*q + 2)*(0*q + 4*q - 5*q + (-5 + 3 + 1)*(2 - 2 + 2*q) - q + 1 - 1 - 525*q - 579*q + 53*q) to the form o*q + y*q**2 + c and give y.\nAnswer: -2110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 bigger than 892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) + sqrt(189)*4 - sqrt(189))\/sqrt(7) + sqrt(27) - (-5 + (sqrt(27) + 1*sqrt(27))\/sqrt(9) + sqrt(3)))**2.\nAnswer: 120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 - 2*x - 11. Is f(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 0, 2*z + 5154 + 5133 = w. List the prime factors of w.\nAnswer: 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**3*z**2 + 2*v**3*z - 45*v**2*z - 3*v**2 - 2*v*z**2 - 2582*z**2 - 1 wrt v.\nAnswer: 18*v*z**2 + 12*v*z - 90*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(10\/3)\/(a*a\/(a\/(a*a**(-4\/17)))*a)*(a*a*a**(-7))\/a*a\/((a\/(a*a\/a**(2\/75)))\/a) assuming a is positive.\nAnswer: a**(-3134\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 6*sqrt(22)\/sqrt(2))**2*5 + -4)*6 - (3*sqrt(77)*5)\/(-6*sqrt(7)*3).\nAnswer: 5*sqrt(11)\/6 + 16146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = 0. Suppose 32*c - 33*c = -3. Suppose -3*k - 4*a + 60 = l, k = c*a - 7*a + 28. What is the highest common factor of 128 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 25. Let o = 11 - r. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.1, 15, -6652, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 1)\/(-3*28\/126). Let y = -8 - -34. Solve 0 = z*j + 8 - y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2546*b**2*d + 63*b**2 - 17 wrt d.\nAnswer: 2546*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1404)\/2925*(-15)\/180.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*l + 170*l = 1243. What is the remainder when l is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 76. Let s(d) = -15*d - 408. Let y(f) = -11*r(f) - 2*s(f). Let c be 2\/(-9)*-12*-3. Determine y(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = o - 16. Solve -2 = -o*k - r - 0*r, -5*k - r + 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:58 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*b - 82 = 0, -4*b + 19 = 3. Suppose -3*s = 2*f - 306, -473 = -3*f - 4*s - h. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 1 = 3*c, -11*m + 1524 = 4*c + 1513 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13817 - 13816. Sort 5, n, -252, -4 in descending order.\nAnswer: 5, n, -4, -252","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 o when three letters picked without replacement from {q: 1, o: 2, k: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/113 (b) 6 (c) -4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -191114 (b) 68 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 141 - 75. Solve s*k - 100 = -82 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1020030031?\nAnswer: -1020030033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-12))**(19\/3)*o**(-18)*o**(-2\/21) assuming o is positive.\nAnswer: o**(-1843\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1168\/80 + (-4)\/(-10). Suppose -h*x - 780 + 2640 = 0. What is the remainder when x is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 3}. What is prob of picking 3 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 9*s - 39 - 77*s**2 + s + 99*s**2.\nAnswer: 22*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 48*k**2 + 6*k - 361. Let r(v) = -9*v**2 - v. Determine -6*r(b) - w(b).\nAnswer: 6*b**2 + 361","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:27 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.1 (c) 3 (d) 2\/9 (e) -2 (f) 70.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 + 2.7. Let o = i + -5.05. Which is the closest to o? (a) 3\/8 (b) 2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24159934*h + 17302216.\nAnswer: 24159934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = -w. What are the prime factors of 56\/(-6)*-3 - w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.055614*0.5.\nAnswer: -0.027807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*h - 24, -y - 3*h - h + 24 = 0. Solve -p + 5*k + y = -0*p, 5*p + 3 = 4*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.289*0.0659.\nAnswer: -0.0190451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1539943409 to the nearest integer?\nAnswer: 39242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 401*s**3 + 51*s**4 - 822*s**3 + 0 - 2*s + 425*s**3 - 2*s**2 + 1 to l*s**4 + p*s**2 + m*s + d + u*s**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 45*k - 6. Let c be w(-23). Let x(j) = 14*j**2 - 19*j**3 - 14*j**3 + 51*j**3 + 8 + 13*j - c*j**3. Calculate x(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3912)\/180*9\/(-6). Suppose -2*t = -6*t + 132. Let l = t - c. Do l and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011202122 (base 3) to base 8.\nAnswer: 172072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(500)*5)**2 + (-6*(sqrt(405) + 0))**2.\nAnswer: 27075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-2))\/(10596\/35320)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*h**3*l*o**4 + 2*h**3*l*o**2 + 12*h**3*o**2 + 136*h**2*l*o - 2*h**2*o + 2*h*o**2 + 4*l*o**6 + 10*o**3 wrt o?\nAnswer: 288*h**3*l*o + 480*l*o**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5 - 1723*k**4*q - 3*k**4 + 3166*k**2 - 2*q + 2 wrt k.\nAnswer: 60*k**2 - 41352*k*q - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**3 + 60*p**2 + 64*p = 0?\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -10 + 8 + (2 - -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0*c**2 + 0 + 7*c - 1\/3*c**3. Let q(t) = 11*t**2. Calculate y(q(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -4, 3, 209690?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(275) - (sqrt(275)*-3 - sqrt(275)))*5 + sqrt(275) - (-3 + sqrt(704) + (sqrt(704) - (sqrt(704) + -2)) + sqrt(704)))*-6)**2*-3.\nAnswer: 73872*sqrt(11) + 46318068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14899*x**3 - 7587*x**3 - 7319*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 42. Let o(p) = -p + 44. Determine 4*d(f) + 5*o(f).\nAnswer: -f + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -35294576*z. Let s(k) = -15*k**2. Calculate s(j(b)).\nAnswer: -18685606425296640*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 24 + 2*v - 6 - 4 + 26 + 1.\nAnswer: 2*v + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 127 - 41 = 0. Let m be ((-60)\/i)\/((-4)\/14). Solve 7 = m*w + d, 3*w + d - 3 = -0*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b + 77. Let u be i(-11). Let w be (120\/(-36))\/(u - 8\/12). Solve 0 + 0 = w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -3*l**9\/28 - 163*l**5\/60 + 17*l**2 + l. Find the third derivative of n(s) wrt s.\nAnswer: -6480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 1)*(2 - a - 2) + 822*a + 1438*a - 748*a + 1564*a + 822*a as w*a + y and give w.\nAnswer: 3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 35 = -3*i, -3*k = -i - 21386113 + 21386116 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f + 32 = -13. Which is the closest to 1? (a) -30 (b) f (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 48 = 4*t, 0*t + 2*j - 44 = -4*t. Let s(k) = -k**2 + 11*k - 1. Let c be s(t). Suppose 5*h - c*h = 0. Let m(p) = p**3 + p**2 + p + 2. What is m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 8 = 3*h. What is the units digit of (-2)\/h - (-340)\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2084 = 79*x - 350 + 696 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 17, -2\/5, 2\/3, 0.2, 58\/35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/2)*n)\/(n\/(n*n\/(n**2\/n))))\/((n\/n**(-1\/9))\/n**(-1\/3)))**(-45) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 878650 - 878650 - 3*i - 3742*i**2 as k*i**2 + j*i + a and give k.\nAnswer: -3742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90424.53 microseconds to seconds.\nAnswer: 0.09042453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**7\/5040 + d**6\/720 + d**5\/30 + d**2. Let s(h) be the third derivative of v(h). Suppose 0*a = -a. Give s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.54, 0.26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 118.\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 10cd5b2?\nAnswer: 10cd5aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18600 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 e, and 2 j when four letters picked without replacement from {i: 2, b: 2, j: 4, e: 4}.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000044585 to seven dps.\nAnswer: -0.0000446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25183, 34806, 44429, 54052, 63675?\n\"Answer: 9623*c + 15560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 215365883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 606*u - 597*u - 45 = 0. Solve u*w + 5*k - 5 = 0, w - 16 = -0*w - 4*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 1499*l**2 - 656 + 5*l - 1505*l**2 + 3005*l**2 to z + g*l**2 + q*l and give z.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37420 - 37424.3716. Round m to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8424*k - 4*k**2 + 2*k**2 - 8424*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 - 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 282 * -2.9\nAnswer: -817.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/273 or 67.221?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 221592.\nAnswer: 1\/221592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9066, -9046, -9000, -8916, -8782?\n\"Answer: 2*q**3 + q**2 + 3*q - 9072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32190 divided by 2?\nAnswer: 16095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-15)*(-20)\/(-60)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/7 + 7*70\/(-343). Let s(g) = g - 9*g + g**2 - g**3 - 9*g**2 - 6. Let c be s(-7). Put -21, c, w in decreasing order.\nAnswer: c, w, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3161 = 658*t - 7367 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1704109806.\nAnswer: 2, 3, 7, 4508227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3902000 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -43, 7 in increasing order.\nAnswer: -43, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6 + 0)\/1)\/(-2). Suppose o*b + 18 = b. Let i be 12*(2\/b)\/(30\/(-45)). Solve n = 5*d - 3*n - 1, -2*d + 6 = i*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - n**2 + 3)*(44 + 15 + 80 + (1 - 4 + 4)*(1 + 3 - 3) - 3 + 2 + 2) in the form c*n + r*n**2 + s and give r.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k\/((k**16*k)\/k))\/k))\/k*k**(-4))\/(k**(1\/2)\/((k**14\/k*k)\/k)))**(-48) assuming k is positive.\nAnswer: k**(-1128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -21.9. Let u = 3 - 2. Let q be (2 - (1 - 4))\/u. What is the second smallest value in n, 3\/4, q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -566 divided by -294.\nAnswer: 283\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5838 + 10784. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8748966 and 786.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/60 - h**4\/4 + 5*h**3\/3 + 4*h**2. Is z(7) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * 5732.\nAnswer: 143300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 6*v + 2*v)*(1 + 3 - 6)*(-2 + 7 + 0).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(171) + -1 + -6*-6*(0 + sqrt(171) - sqrt(171)).\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/30 and -55\/2691?\nAnswer: 26910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1*(1 + 0). Let v(x) = -4 + 6 - x**2 - 6 - 1358*x + 1364*x. Let b be v(r). Solve -9 - 1 = 2*c, b*c = -q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 5*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*o + 110*o = 372 - 1360 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*i + 3*s, 3*i = -0*s + 3*s + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -536\nAnswer: 1\/536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2734, -1840, -354, 1724, 4394, 7656?\n\"Answer: 296*j**2 + 6*j - 3036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2083\/840 - 139\/280. Calculate the common denominator of d and ((-2)\/(-32))\/((-125)\/(-3550)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*j + 3)*(11 + 16 + 33)*(-5*j + 6*j + j) in the form m*j**2 + p + r*j and give m.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 5. Let c(r) = -2*r + 9. Let d(i) = -3*c(i) - 5*l(i). Let x(z) = z**3 - 6*z**2 - 5*z - 4. Let y be x(7). Is 8 a factor of d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 114 - 2*b**2 - 2*b**2 + 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439*t = -440*t - 4*s + 26639, 133147 = 5*t + 4*s. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 - 10*d**2 + 11*d**2 + 3 + 3*d + 7*d**2. Let t be o(-3). Solve t = -0*l + 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 13*b**2 - 16*b - 39. Determine g(-12).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -296*a - 11358. Give t(-38).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 16 = 2*d, -4*m + 0*d + d + 17 = 0. Let c = 1.061 + -2.161. Put c, m, 5 in increasing order.\nAnswer: c, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110066704 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160177098 divided by 1402.\nAnswer: 114249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24074.88 and -1.2.\nAnswer: 28889.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 42 + 2959*d**3 - 69.\nAnswer: 2959*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2\/17 (c) 0.4 (d) -20.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -24. Let h = 200\/3 + -66. Which is the second biggest value? (a) h (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z - 103761 = -246*z. Calculate the remainder when z is divided by 348.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -187488, -187857, -188224, -188589, -188952, -189313, -189672?\n\"Answer: z**2 - 372*z - 187117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 33*y**2 - 645*y - 274. Determine f(20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1842*v - 387 - 383 + 770 - 26*v.\nAnswer: -1868*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1143, 2297, 3447, 4593, 5735?\n\"Answer: -2*q**2 + 1160*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.74 and 32.3.\nAnswer: -185.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3892 * -0.3\nAnswer: 1167.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 46771560 to the nearest one hundred thousand.\nAnswer: 46800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-2)\/(-1 + -22). Let k = -0.08 + 0.58. Let h = 5.5 - k. What is the biggest value in 0.1, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (2\/6 - (-1484441)\/21). Let g = m + -125790. Round g to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114320 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-621*i**4 - 4*i**2 - 4*i**3 + 622*i**4 + 3*i**2)*(2*i - 2*i - 2*i).\nAnswer: -2*i**5 + 8*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137.8 - -144. Let o = -1.2 + u. Put -0.05, 0.01, o in descending order.\nAnswer: o, 0.01, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 3897*q - 205087. Determine a(52).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 6*w + 6. Let x be c(-7). Let y = 1443 - 2977\/2. What is the common denominator of (x\/2)\/(18\/(-411)) and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6.748 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 841 and 5152517?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -30*c. Let z(i) = 3*i. Suppose -9 = 4*v - 1. Let h(p) = v*a(p) - 21*z(p). Let d(l) be the first derivative of l**2 + 2. Calculate d(h(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - 44*t**4 + 11423*t**3 - 11422*t**3 + 186*t**4 - 2*t + 39*t**4 as j + u*t + s*t**2 + l*t**4 + y*t**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8377, 8369, 8359, 8347, 8333, 8317?\n\"Answer: -c**2 - 5*c + 8383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.16699 times 0.5\nAnswer: -0.083495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2874\/(-8))\/(6\/(-32)*4). Let q = 717 - g. What is the highest common factor of 68 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m = -2*q + 98, -52 = 2*m - 4*q. Let v be 1\/(13 + 129\/(-9)) + (-5)\/(-28). What is the closest to v in 1\/4, m, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2037612603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(63\/63).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2140602 is divided by 50966?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) + -3*sqrt(150))\/sqrt(5))\/sqrt(10) + -1 + -2 + -3)**2.\nAnswer: 24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -228692, -457666, -686640, -915614?\n\"Answer: -228974*u + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3583 (base 10) in base 6?\nAnswer: 24331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -0*b + 4*u, 5*b - 5*u = -5. Let m(x) = x + 15. What is m(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((104\/(-16))\/(-13))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -261 + 471. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 - 55. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4819361?\nAnswer: 37, 130253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*m**3 + 21*d**2*m + 3056*d**2 - 934*d*m**3 + m**3 wrt m?\nAnswer: 12*d**2*m - 5604*d*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 0*a**2 - 2 - 3 + 6. Let z(b) = -5 - 4*b**3 + 0*b**3 + 3*b**3 + 8*b**2 - 4*b**2. Calculate -9*v(q) - 2*z(q).\nAnswer: 2*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6297871 to the nearest integer?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7427, -59633, -201433, -477629, -933023, -1612417, -2560613?\nAnswer: -3822413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 3*s - 9 = -8*d, -4*d - 3*s - 47 = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 - 1.3. Let r = -1.800045 + d. Round r to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.6538 to 0 dps.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyyyyykyyyy. What is prob of picking 2 y?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1062)\/(-295) + 0 + 2\/5. Solve 2*g - w = 0, 9*r - 2*g - 16 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(11 - 21) + -38\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 9. Let d(k) = -1. Let v be (9\/(-27))\/(4\/(-6) + 1). Determine v*i(q) + 6*d(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*h = 207*h + 2904. What is the remainder when 257 is divided by h?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -821653 > -821653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12437 - 4?\nAnswer: -12442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7710, 15424, 23128, 30816, 38482?\nAnswer: 46120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/251 (b) 3.6 (c) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152, -347, -548, -755, -968?\n\"Answer: -3*g**2 - 186*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*t - 3*f, 4*t + 34 - 95 = -f. Suppose 4*c + 0*c - t = 0. Let s be (c\/(-2))\/4*-74. Solve -5*k - 7*h = -3*h + s, -5*h - 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32294393, -64588792, -96883191, -129177590?\n\"Answer: -32294399*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 10793326*t**3 + 4 + 31*t + 4*t**2 + 30*t + 10793327*t**3 as j*t**3 + s*t + h + o*t**2 and give s.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 20585 - 7*f - 662.\nAnswer: -7*f - 21247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b)\/b*b*b*b**(-30) assuming b is positive.\nAnswer: b**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/(b*b\/(b\/(b\/(b\/b**(6\/13)))*b)))**(-16))**37 assuming b is positive.\nAnswer: b**(-11840\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -6.655?\nAnswer: 1.9965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8803.261 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2721 - -2882. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*k + 5*u, -5*k - 6*u + 7*u + 25 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -10044?\nAnswer: 10041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001011 (base 2) in base 8?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 847 - 191. Let h = z - 342. Is 30 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123457409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 57969541217?\nAnswer: -57969541242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 1, p: 1, a: 1, f: 1}. Give prob of sequence pbf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66799, -67286, -68095, -69226, -70679, -72454?\n\"Answer: -161*m**2 - 4*m - 66634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 159390*t - 159389 = 0.\nAnswer: 1, 159389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123305311 to the nearest integer?\nAnswer: 11104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 552 * -33661.\nAnswer: -18580872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 654 + -648. Suppose 1\/2*g**3 + 3*g**2 + p*g + 4 = 0. Calculate g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216589, -433049, -649397, -865639, -1081781, -1297829?\nAnswer: -1513789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:07 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5 - 65*b**3 + b - 95.\nAnswer: -20*b**3 - 390*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 2*a + 11 + 17 as x*a + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from jajkkkjjajjkaa?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 67, 203?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28da7 (base 14) to base 3.\nAnswer: -12011012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1134600 and 8296.\nAnswer: 19288200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5380767 is divided by 82?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -5\/4, -31, 9, 0, 10\/9 in descending order.\nAnswer: 9, 10\/9, 0, -5\/4, -31, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 5. Let q = -11.3 - t. Suppose 1 = -3*x + 2*f, -3*f + 2 = -2*x - 2*x. Do q and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9906, -9910, -9916, -9924, -9934, -9946, -9960?\nAnswer: -9976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385198 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-12\/11)\/(v**1\/v*v*v\/((v\/v**(-4))\/v)*v))\/((v**2\/v**0)\/(v*v**(1\/4)*v*v**(2\/11))) assuming v is positive.\nAnswer: v**(63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z + 0*z)*(0 + 0 + 2) + 2*z + 0 + 0 - 5*z + 7*z + 10*z + 1 - 1 - 2*z + (-1 + 0 - 1)*(z + z - z) + 1 + z - 1 + z - 3*z + 0*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 533938 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -188 from 38.4.\nAnswer: 226.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -24. Suppose 0 = -f*c + 7*c - 4*x - 24, 3*x - 12 = 0. Let r(u) = -c*u + 4 + 7*u - 6. Calculate r(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/11 - -179\/55. What is m in -4\/5 - 1\/5*m**2 - h*m = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 5:11 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 11*n**2 - 11*n + 43. Let u be z(-9). List the prime factors of -2 + (6\/8 - 7945\/u).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*z**3 + 9 - 2*z**2 - 46*z**3 - 67*z**3 - 47*z**3 + z to the form v*z**3 + s*z + x*z**2 + d and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - -1.97?\nAnswer: 55.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728*c - 716*c - 986844 = 0. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*y + 17 - 82, 3*y + u = 39. Let h = 16 - y. Let d(b) be the third derivative of -b**4\/12 - b**3\/6 - b**2. What is d(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10413 - -3051?\nAnswer: 13504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 9*u + 5. Give n(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.4 and -0.1.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42388?\nAnswer: 2, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hll when three letters picked without replacement from llvvhllkkklhykvllh.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 5*o + 1. Let b be g(4). What is the highest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2134 (b) -6 (c) 0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(3 + i - 3)*(9 + 9 - 22)*(6*i + 6*i - 4*i).\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 1. Let v(l) = -8*l - 144. What is v(h(s))?\nAnswer: 8*s - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 63*j - 30. Let p be i(19). Let k = p - 290. What are the prime factors of k?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 2*g - 166 + 178, 4*h - 3*g + 22 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 + 323. Solve 2*t - 10 = o*p + 2, 3*t = -3*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 687 and 33.\nAnswer: 7557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.3 (c) 0.2 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -49*c. Let z(s) = 21148*s**2. What is z(w(h))?\nAnswer: 50776348*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 64671502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.142 + -1.742. Let r = 9\/4 + -2. Let j = -107.41 + 107.71. What is the closest to 1\/4 in r, j, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*g = 4*g - 7, -3*g = -2*v + 14. Suppose 2*m = v*m - 455. Calculate the remainder when m is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 - 187*r**2 + 33*r - 41. Is 40 a factor of m(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2152, -2143, -2134?\nAnswer: -2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 23*c**2 - 24*c - 18. Let r be m(25). Suppose 2*o + r = -n + 3*n, -5*o = -5. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13021201 (base 4) to base 8.\nAnswer: 71141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/505 and -6\/337441.\nAnswer: 1687205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) 1\/494 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1\/8*i**4 + 0*i**3 + 0 + 32*i**2 - 1\/10*i**5 + 0*i. Let h(p) = p**2. Determine f(h(z)).\nAnswer: -6*z**4 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1318 (b) -0.5 (c) 600\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(192))\/(-2*sqrt(7)*5) + 4)**2.\nAnswer: -sqrt(2)\/5 + 12801\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeweeeeweeeeee. What is prob of picking 2 e?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7525*v - 2*v**2 + 7525*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 q when four letters picked without replacement from cqcqcqcccqqq.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24d3 - -9?\nAnswer: -24c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*f + 3*f = -64, f = r - 11. What is the remainder when 67 is divided by 23\/3*(r - 12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 4*i**4\/3 - i**2\/2 - i. Determine h(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -0.2, -96, 0.1, -2, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 310 (b) -4\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 82c41?\nAnswer: 82c38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1989660?\nAnswer: 2, 3, 5, 33161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l - 78. Let q(u) = -12*u - 99. Let i(x) = -2*q(x) + 3*r(x). Let m be -3 - -2 - (1 - -8). Is i(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0.4 (b) 1\/8 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -1193, -4122, -9825, -19226, -33249, -52818?\nAnswer: -78857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*t - a - 23, -t - 3 = 3*a. Suppose 0 = t*s + 21116467 + 22083533. Round s to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = 4*o + 8, 0 = -5*l - 15. Let m = 1 - o. Solve -18 = 4*t - v, -4*t = -m*t + 5*v + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1518860132414595+-4\nAnswer: 1518860132414591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 53 + 153. Suppose -u = -3*s - 0*y - y, -2*s + 3*y = -6. What is the remainder when 2 is divided by (-10)\/(-6) + 2\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, 1\/1275, 0, -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(3*k**2 + 2*k**2 - 6*k**2) + 5*k**2 - 2*k**2 - 4*k**2 + (-4 + 2 + 7)*(24*k - 24*k + 2*k**2)*(-3 - 5 - 18).\nAnswer: -262*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2312100202 (base 4) to base 3.\nAnswer: -1101221001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*v**2 + 124*v**2 - 59*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liil when four letters picked without replacement from {o: 2, t: 2, l: 7, i: 1, b: 6, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 5. Let c(z) = z - 1. Let a(n) = 5*c(n) + m(n). Let v(r) = 105*r. Determine a(v(k)).\nAnswer: 105*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 400 = 4*d, 3*w - 172 = 2*w + 5*d. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (196\/(-7))\/(3\/3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 3*l**2 + 5. Let y be c(-3). Suppose -y*m = -19*m + 7070. Suppose -d + 5*i = -121, 0*i + m = 4*d + i. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 5977*p - 168920. Give t(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 0 + 42 + (-4 - (-14 - -6))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42597 - 42421. Calculate the smallest common multiple of 6 and b.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96331109 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -1108, -1669, -2232?\nAnswer: -2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. What is the nearest to -2\/7 in 24, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.582982233 and 0.0372.\nAnswer: -2.545782233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -31*h**4\/6 + 113*h**3\/6 - 29*h - 158. Let v(q) be the first derivative of x(q). Find the second derivative of v(y) wrt y.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4 (c) 3\/10 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4))\/(t**(6\/11)*t*t)*t\/t**(-1)*t*t**(1\/2))**(1\/62) assuming t is positive.\nAnswer: t**(-45\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + (-3 - (-4 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -25*a**2. Let t(z) = -2. Let v(w) = 99*w - 132. Let y(g) = 66*t(g) - v(g). What is h(y(q))?\nAnswer: -245025*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -4*k - 65. Suppose 0 = 4*o - 196 - k. What are the prime factors of o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158.157 - 0.157. Let l = k + -173. What is the nearest to -2 in -4, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110006 - 65655. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.028, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 23. Let p be d(-16). Suppose -10*y = -3*y - p. Let g be 4\/4*y - 9\/8. Sort 0.4, g, 5 in ascending order.\nAnswer: g, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -109.670321714 from -804.\nAnswer: -694.329678286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087493 is divided by 761.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 735, 560, 379, 186, -25, -260, -525?\n\"Answer: -k**3 + 3*k**2 - 177*k + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -70457?\nAnswer: 845484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18893715, -75574870, -170043461, -302299488, -472342951, -680173850?\n\"Answer: -18893718*c**2 - c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 19*s + 13. Let m be h(10). Suppose -m*r + 5*r - 28 = 0. Let f be r\/(-63) + (-292)\/(-18). Solve -j = -5*j - f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*o = 32. Suppose 3*i = 5*q - o, 10 = 3*i - 0*q + 2*q. Determine f so that 0 - 2\/3*f + 2\/3*f**i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 306317*l - 10. Let n be m(7). Suppose -30*f - 9473672 = -22*f. Let v = n + f. What is v rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 166796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let m = 453 - 1079. Is m\/(-18) - x\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:30 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let t(p) be the third derivative of p**5\/30 - 13*p**4\/24 + 5*p**3\/2 - 28*p**2. Let k be t(5). What is the closest to k in w, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/330 and 137\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1181 = -2*a + g + 1460, -2636 = -2*a - 4*g. Is a a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 82*p**3 - 3*p**2 - 5*p + 5. Let v(j) = 40*j**3 - 2*j**2 - 3*j + 3. What is 3*d(a) - 5*v(a)?\nAnswer: 46*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0 + 9\/2*t**3 - 9\/4*t**4 + 54*t**2 + 0*t. Differentiate r(n) wrt n.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-15)*15\/(-18). Let d = 195.3 - 195.5. Which is the closest to 0? (a) d (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8280558 or 8280556?\nAnswer: 8280556","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 1, z: 1, p: 2, j: 7}. What is prob of picking 1 p, 1 j, and 1 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001408 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*g - 3*s - s, 0 = 5*g - 4*s - 96. Let z = -5 - -24. Is g less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14640 and 12200.\nAnswer: 73200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1955 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363357 and 8460?\nAnswer: 7267140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + (2 + sqrt(275) - (sqrt(11) + 2 + 1)))**2.\nAnswer: 16*sqrt(11) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231)\/(-182)*468\/(-1287).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.1, -15, -5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2566 - -2567. What is the nearest to -2 in -4, -2\/777, g?\nAnswer: -2\/777","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015789 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: Solve 0 = 28507*j - 28457*j - 800 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 3.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:05 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 48*x + 1. Determine m(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = 3*q, 2*q = 6*q + 4. Solve -8*l = -7*l + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 71?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*k - 1492, 12*k + 2233 = 3*x + 10*k. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 47)*2\/4. Let i = -4 - b. What is the greatest common factor of i and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 266, 374, 430, 416, 314?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 63.168. Round c to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/7 + 24513*a**3\/7 + 11692278*a**2\/7 + 201910656*a + 1855580160 = 0 for a.\nAnswer: -224, -10, 8629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Suppose 0 = 4*q - 0*w - 2*w - 36, 5*q + 4*w - 32 = s. Let f(t) = -2*t - 2. Let j(a) = 5*a + 5. What is q*f(p) + 3*j(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4514 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6740*j**3*l**2*p**2 - j**3*p**2 - 3*j**3 - 24081*j**2*l**2*p**2 - 2*j**2*p**2 - 9*l**2*p**2 wrt j.\nAnswer: 40440*l**2*p**2 - 6*p**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41246, 82490, 123730, 164966, 206198?\nAnswer: 247426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(105)\/sqrt(5))\/(sqrt(648)\/sqrt(6)) - (-3*sqrt(1512))\/((sqrt(162) + sqrt(18))\/sqrt(3)).\nAnswer: 29*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33245, -33226, -33143, -32966, -32665, -32210, -31571, -30718?\n\"Answer: 5*h**3 + 2*h**2 - 22*h - 33230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162102 is divided by 1430?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 558*d. Let g(s) = 20*s + 3. Let b(q) = 7*q + 1. Let w(u) = 3*b(u) - g(u). Give a(w(r)).\nAnswer: 558*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/460 and 151\/19596.\nAnswer: 97980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/(-45)*(-22)\/(-132)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974788 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14488875941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.5 (c) 0 (d) -0.32 (e) 8 (f) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113\/14 - 39\/7. Find the common denominator of j and (14\/(-8))\/((-12)\/(-21)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: c8 (base 14) to base 6\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339 + 202. Let t = 139 + n. Solve -z - z = -t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - a + 1)*(2 + 2 - 2) - 2*a - 8*a - 12*a + (2 - 6 + 0)*(5*a + 3*a - 3*a).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.50000092. What is h rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -25*r - 94. Suppose 0 = 3*n + n + 28. Let d(z) = 38*z + 141. Let v(o) = n*i(o) - 5*d(o). Calculate the remainder when v(-11) is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4129 + 4134. Put c, -0.222, 1 in ascending order.\nAnswer: -0.222, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Suppose -4*h - 38 = 2*y, t*h = 3*y + 59 - 2. Let o = 45 + y. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.8, -1\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/25264 and 85\/834?\nAnswer: 10535088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**4 - 32*h**2 + 4. Let m(l) = -8*l**4 + 32*l**2 - 5. Let x(o) = 4*m(o) + 5*y(o). Find the third derivative of x(r) wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 752 and 2186512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-55) - ((-144)\/(-4392) + (-924)\/2135).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10404787\/296 + 35151. What is the common denominator of 41\/6 and m?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1 = -26, d = 4*i + 13. Let g be 16\/6*18\/8 + i. Let j(f) = -4*f + 21. Let p be j(g). Solve 2*q = -2*h + p*q - 17, -28 = 3*h - 5*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r + 5 - 37*r + 13*r + 8 + 7*r.\nAnswer: -3*r + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1169 + 1169. Factor 0 + 2\/15*n**4 + 0*n**2 - 2\/15*n**3 + k*n.\nAnswer: 2*n**3*(n - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) - (-1)\/3. Let h(a) = -a**3 + 8*a**2 + 8*a + 13. Let o be h(9). Suppose -l = -f*l + o. Let y(v) = v**3 + 4*v**2 + v. Calculate y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - -13144 - (-9 + -1 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -112112121121?\nAnswer: -112112121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -12. Let v(d) = d**2 + 4*d. What is v(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*1440\/4680.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -51*x - 1301, -439*s = -437*s - 5*x - 140 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + 0 + 0 - (58 + -67).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 213 * -44\nAnswer: -9372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 6*y + 4. Give h(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 19*b - 119. Let g be r(8). What is the remainder when 38 is divided by ((-30)\/(-4))\/(g\/22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 q when four letters picked without replacement from qeeeqqrreeeeqq.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose y*h = 2*h + 350000. Round h to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 8 = -q, -4*r - 6 = -3*r - q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-5)\/((-5)\/18). Suppose -2*b - 1 - 31 = 0. Let j = b - s. What is the smallest common multiple of j and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**9*n**30)**(-12) assuming n is positive.\nAnswer: n**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/720*-45*-6?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 39 = -21. Suppose d - 5*k - 5 = -0, 4*d - 3*k - 105 = 0. Let b = d - c. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 271, 7434 in decreasing order.\nAnswer: 7434, 271, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = u + 12, 16 = u + 3*y. Suppose -l = -u - 1. Suppose -36 = -5*z + l*o + 19, -5 = -5*o. 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 u = 1.93000169 + -1.93. What is u rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2 + 6074*k + 1518.\nAnswer: 2*(k + 759)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 58491.04 years?\nAnswer: 5849.104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4\/((-16)\/(-9))*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 26*k**2 - 25*k + 52. Let o be p(-27). Which is the second biggest value? (a) -6 (b) o (c) -3\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3125.2601 take away 32.63?\nAnswer: 3092.6301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*o - 12. Suppose 4*h - 7*h - o = 0. Let k be ((-3)\/2 - h)\/1. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3695116 or -3695094?\nAnswer: -3695094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1689088*l**5 + 29*l**4 + 7209533*l - 2 wrt l.\nAnswer: 33781760*l**3 + 348*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 63?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 69938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = g - 27, 2*g + 0*o + 11 = -3*o. Is g less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/6, -3, -106?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -30. Suppose s*t = 41 + 19. Let f be ((-24)\/(-20))\/(3\/t*4). Solve v = 4*v + f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 1}. Give prob of sequence ejj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 20. Let k be (-114)\/(-4) - (-2)\/u. Calculate the highest common divisor of k and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2 + l - 3. Let q be a(4). Let o = -34 - q. Let z = o + -23. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 371 = 51. Solve -3*i = -m*i + 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 4. Let q be d(-23). Let z = 36 - q. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 14 + m + 4 + 10. Let b = -4844 + 4844. Determine j(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 41 = -3*g + 2*g, 3*g = -5*k + 101. Solve -2*f + 5*m = 19, 2*f + 2*f = -5*m + g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16 + 0*q**2 + q**3 - 17 + 8*q - 8*q**2 - 18. Let f be u(8). Let m be ((-35)\/3)\/7 - -2. What is the nearest to m in 0, 3, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*j - 6. What is the tens digit of (j + (4 - 2))\/((-9)\/(-846))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + 1 + (0 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 3811.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.3 (c) 0.03 (d) -0.4 (e) 3585\/4 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5061006 by -1.\nAnswer: 5061006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g - 32. Let v be d(-8). Suppose -2*a - 24 = -5*s, -3*a + 7*a + v = 0. Suppose s*q = 5*q. Solve 3*u + u + 8 = q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (506\/6 + 0)\/(16\/96). Let r = 60 + m. Is 76 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 2, -3 in decreasing order.\nAnswer: 34, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-342)*12*2\/(-16).\nAnswer: 1\/12","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 abbxaaaabbxaaxbbaxaa.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, w: 1, k: 1, y: 2, n: 3}. What is prob of picking 2 y and 1 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865\/692*24\/25.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**4 - 87880*s**3 + 263985*s**2 + 5274200*s + 8789500 = 0.\nAnswer: -17579, -5, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 4*t**3 - 4*t**3)*(-3 + 2 - 6 - 7)*(13 - 74 - 22).\nAnswer: 1162*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + 5*c**4 + c**4 + (2*c**2 - c**2 + 0*c**2)*(c**2 + 2*c - 2*c) - 3*c**4 - 3*c**4 + 4*c**4.\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -388, -373, -352, -325?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3474 is divided by 272?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6662 (base 7) to base 4\nAnswer: -211130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**3 + 29*q**2 - 52*q - 16. Does 12 divide t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 302.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -100. Let w be (1\/(-3))\/(2\/c). Let j = -625 + 630. Solve -j*l + 0 - w = 2*x, -11 = 4*l + 3*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*(-30)\/120*(-258)\/86?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 4\/5 (c) 1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1846*j**2 + 621968 - 3*j - 621968 + 410*j**3 + 3*j wrt j?\nAnswer: 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71951 divided by 679.\nAnswer: -71951\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*m + 20, -71*m + 67*m + 12 = 3*q. Let g = 345 - 7931\/23. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*o = -386*o - 2*i + 8, 2*i - 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 2842147 + 605717 = 628143. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 836 and 1444.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1978, -15847, -53470, -126715, -247450, -427543, -678862?\n\"Answer: -1978*u**3 - 9*u**2 + 4*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2059, -3765, -5485, -7225, -8991?\nAnswer: -10789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 643 + 1323 - 645. Calculate j(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.71 - 17.11. Which is the biggest value? (a) -5 (b) -0.08 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21781201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12127\/19 + -4703281\/7372. Let w = 2\/97 - m. Let r = -0.09 - -4.09. Sort 4\/7, w, r in decreasing order.\nAnswer: r, 4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {h: 1, w: 8, m: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3597142 is divided by 1199047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-39)*((-1)\/2 + (146 - 139))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2117017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 9 = -113. Suppose 3*q + t - 46 = 0. What is the closest to q in 5, -7, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6 + 0 + (5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 188*f - 6713. Let m be z(-122). Solve -21*g - m - 49 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*-2*(sqrt(117)*1*1 - sqrt(117) - sqrt(117) - (sqrt(117)*2 + 3)**2).\nAnswer: 312*sqrt(13) + 3819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27679136999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 10. Let n = 2 - -7. Let o = n - 14. What is g(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -525, -2091, -4691, -8319, -12969, -18635, -25311?\n\"Answer: t**3 - 523*t**2 - 4*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 2 + (-24)\/(-4). Suppose -3*c = -2*y - 14, -y = c - 2*c + m. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**3\/3 + s**2\/2 - s - 1. Calculate the remainder when r(-3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/37 - 104\/185. What is the nearest to q in 2\/11, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 22569082\nAnswer: -17\/22569082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 0*o - 7*o + 8*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 2. Let d be n(0). Suppose 0 - 13 = -j + d*z, 4*j - 70 = 2*z. Suppose 131*i - 134*i + 9 = 0. Solve 0 = -3*m + 4*l + 39 - 8, -j = -i*m + l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1397536 and 2196128.\nAnswer: 15372896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwwn when four letters picked without replacement from wnnwnnwnnnww.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (113832\/465)\/(-204)*10\/(-147)?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 1. Let s be k(3). Suppose -4*n - 4*y = -8, 0 = -3*y - 2 - s. Is n < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(354\/(-174) + 2). Suppose 57 + p = -2*x. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u - 2\/3*u**3 + 1 + 0*u**2. What is the first derivative of y(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 1021 + 779. Suppose 2*p = 9*p + 6*p. Suppose 0 = -4*l + 8*l + 16, 3*n - 5*l - 170 = p. What is the greatest common factor of w and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -2*u, -5*u + 18 = 3*w + 3. Suppose 6*f = 2*f - 2*z + 40, -2*f - 3*z + 24 = w. Solve -5*m + f = -4*j - 14, -j = -5*m + 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 1547 = 4307. Solve -2*m - h = -329 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1176 * -0.1.\nAnswer: 117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48.007 and -1.74?\nAnswer: -83.53218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113322 divided by 6.\nAnswer: 18887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 395*f**6\/6 - f**5\/20 + 395*f**4\/6 + f**2\/2 - 5831*f - 1. Find the third derivative of h(d) wrt d.\nAnswer: 47400*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345059643?\nAnswer: 29, 46381367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/3))**(-29))**(-43))**(-17) assuming d is positive.\nAnswer: d**(42398\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*r - 1, -2*n - 4 = 4*r - 10. Let f be (-3 + r)*(-4)\/8. Factor f*h**4 - 1\/2*h**2 - 1\/2*h + 0 + 1\/2*h**3.\nAnswer: h*(h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14 - 0*(-1)\/(-3). Let a = 19 + h. Suppose -v = -a*v + 16. Solve v*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 - 5*i**2 + i - 5. Let s(j) = -j**3 + j**2 - j - 1. Let x(w) = -f(w) - 4*s(w). Let a(z) be the first derivative of x(z). What is a(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 126 = -5*l, 2*l - 38 = l + 3*d. Is 417*(l\/6 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-45)*3*5\/20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/3*p**3 + 0*p - 2 + 1\/108*p**4 + 0*p**2 + 1\/3240*p**6 - 1\/360*p**5. Let t(o) be the third derivative of h(o). Factor t(z).\nAnswer: (z - 2)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.36127 - 0.05473. What is the third biggest value in 0.1, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10331794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 9*f**2 + 7*f + 11. Let n be (-13)\/(-2) + 12\/8. Let c be s(n). Let a = c + -1. Solve j + 0*j = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267 + 10867 = -82*n - 38*n for n.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 224.9168 - -452\nAnswer: 676.9168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 + 4*a + 93 - 2*a**4 - 92 in the form o*a**2 + v + d*a**4 + w*a + p*a**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1501028456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0.748, 2, 1, -43, -5?\nAnswer: 0.748","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.42 - 0.02. Let r = 0.3 - x. Let t = -598\/33 + 192\/11. What is the closest to 1\/3 in r, t, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -1 (c) 6 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + 35\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1539 and 7695.\nAnswer: 7695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 1. Let h be (1\/4)\/(2\/8). Let j(z) = 3*z**2 - 6*z - 2. Determine h*j(l) + 4*g(l).\nAnswer: 3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 103656 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.2. Sort -1, k, -2 in increasing order.\nAnswer: -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17\/((-5236)\/(-60)))\/1)\/(264\/308).\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/9, 2\/1001?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -572 and -0.08.\nAnswer: 45.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (-1 + sqrt(275) + 1 + sqrt(275) - (-4 + -1*sqrt(275))) + -3 + sqrt(3564)*1 + 1)**2.\nAnswer: 198*sqrt(11) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g + 69 - 71 + 20*g + 11*g + 39*g - 19*g.\nAnswer: 63*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 219818914*t**2 - 6040044259107966*t - 6040044478926882.\nAnswer: -2*(t - 54954729)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 63467.94km?\nAnswer: 6346794000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6438 or -6441?\nAnswer: -6438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y*y**(1\/10))))\/y)\/(y\/(y*y\/y**8)))**8 assuming y is positive.\nAnswer: y**(-276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*m + 1)*(2 - 7 - 2*m + 6).\nAnswer: -4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/((b\/b**(-5\/7))\/b)*b)\/b)\/(b*b*b*(b*b**(-7)\/b)\/b*b*b)*(b\/(b\/(b\/b**(1\/9))*b))\/(b**(6\/7)*b))**(3\/4) assuming b is positive.\nAnswer: b**(73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/2)*h*h)**(17\/3) assuming h is positive.\nAnswer: h**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 326*u - 924.\nAnswer: 2*(u - 14)*(u + 3)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 7*l**2 - l - 4. Let h be g(-7). Differentiate 36 + 3*d - 2 - h*d + 4*d with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-23*b**2 + 154*b - 155*b - 24*b**2).\nAnswer: -47*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2 + 27598*m - 27600 = 0.\nAnswer: -13800, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*k + 0*k - 32 = 0, -2*k = 5*m + 64. Suppose -3*w = 3*n + 9, -1 = 5*n - 4*w - 4. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -614, -2470, -5562, -9890, -15454, -22254, -30290?\n\"Answer: -618*l**2 - 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 10:31 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**5)**(-8) assuming x is positive.\nAnswer: x**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -477*b + 472*b + 5. Suppose -3*o + 1 + 8 = 0. Suppose -o*f - 3*v = -1498 - 8798, v = -b. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + q**2 + q. Let a(k) = -669*k**3 - 3*k**2 - 5*k - 1. Let g(l) = a(l) + 2*n(l). Let x be g(-1). Let t = x - -29. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411288*t - 10*t**2 - 822324*t + 411036*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595673335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.52 + -31.5. Let f = -4.2 - d. Let b = 0.11 + f. Which is smaller: -1\/5 or b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 52360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/3 - 20*g**3\/3.\nAnswer: -g**3*(g + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 27. Calculate t(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 24*g**2 + g + 29. Let z(k) = 12*k**2 + k + 14. Let l(s) = -3*h(s) + 7*z(s). List the prime factors of l(4).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-4.36.\nAnswer: -91.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 90*s + 7150. Determine h(-72).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-412 - -435) + -20 + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*a + 3 + (2*a + 3*a + a)*(1 + 1 - 3))*(3 - 4 - 10).\nAnswer: 88*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 5\/4, 0.4, -0.4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 2*h - 1. Let a(t) = -4*t**2 - 2*t + 1. Let n(g) = 2*a(g) + 3*y(g). What are the prime factors of n(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 118. Suppose 3*o - 4 = 14. Suppose d = o*d. Is j(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21400 and 661?\nAnswer: -14145400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1)*(-44*t**2 - 32*t**2 + 95*t**2)*(-2*t**3 - 3*t**2 + 3*t**2).\nAnswer: -152*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 137868?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 0*t**2 - 2\/9*t**4 - 1\/18*t**7 + 0*t**3 - 18*t - 1\/3*t**6 + 0 - 3\/5*t**5. Suppose m(p) = 0. What is p?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 1. Let o be g(1). Let c be ((-8)\/16)\/((-3)\/(-6)). Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**4 + 37646311*v**3 - 285351891*v?\nAnswer: 12*v**2 + 225877866*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 193072040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 10:45 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-25))\/(3*1\/(-30)). Let q(j) = -j + 1. Let t(r) = 5*r - 3. What is h*t(o) + 12*q(o)?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11530000 to the nearest one hundred thousand.\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92b33e + -1?\nAnswer: 92b33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*y = 17 - 37, 4*q - 3*y = 16. Put -0.3, -5, q, 1, 13 in descending order.\nAnswer: 13, q, 1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 763404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2. Let i(f) = 5*f + 6. Let h(b) = 5*b + 7. Let m(j) = 6*h(j) - 7*i(j). Give k(m(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 9*g**2 + 15*g - 56. What is b(9)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1123 - -1123.497. Let b = 3 - 2.5. Let v = r - b. Round v to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242 a factor of 59735848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2648 - 1499. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v**(-3))\/(v**(-2\/7)*v**5\/v)*(((v\/((((v*v*v\/v**1)\/v)\/v)\/v*v))\/v)\/v)**(-2\/37)\/(v\/(v*v**(-1\/2)*v)*v**(-1)) assuming v is positive.\nAnswer: v**(435\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 17*x - 32. Calculate v(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)\/(sqrt(12)*-1))\/sqrt(3).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 25, 17\/3, -0.4, 0.3, -0.1, -0.5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809*t = -740*t - 2627175. What are the prime factors of t?\nAnswer: 5, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3 + 479115*k**2 + 57373659303*k - 3386713903571 = 0.\nAnswer: -239587, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6\/11 (b) 9\/2 (c) 0 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*(3 + 2263\/(-31)). Suppose 19 = 3*v + 4. Which is greater: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.427 - 0.027. Let v = m + -4. Let u be 4\/(-18) + (-34)\/9. Which is the closest to 2\/5? (a) u (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = -4*o, 0 = 2*n - 5*n + 15. Let f(d) = -37*d + 4. Let l be f(o). What is the greatest common factor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32423580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 11. Suppose 1 = -c - 6. Let t be r(c). What is the second derivative of a + 2*a + t*a**3 - a**3 wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m + 42. Let r(f) = f**3 - 10*f**2 + 14*f + 10. Let y be r(8). Calculate the remainder when q(y) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -88, 3, 2 in ascending order.\nAnswer: -88, -7, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2157 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 527.\nAnswer: 1\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2816) + -2*sqrt(2816)))\/(sqrt(4) + sqrt(4) + sqrt(12)\/sqrt(3)*3 + (sqrt(360) - sqrt(40))\/sqrt(10) + sqrt(4)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:43 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5181290 - 6.\nAnswer: 5181284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 17*j. Let a(x) = 22*x**2. Determine u(a(n)).\nAnswer: 374*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d - 4*b = 54*d, 0 = 5*d + 4*b + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - 14*z + 14*z)*(z + 1 - 1) + z**3 - 3*z**3 + 0*z**3 + z**2.\nAnswer: 5*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 7 = -4*l, 2*l + 2 = -4*n. Let v be (n - -2)*1\/2. Let o be 207\/6 - 1\/v. Calculate the highest common divisor of o and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 1 - 1 - 1 + 1 + 2*k - 2*k + k - k + (4 - 1 - 1)*(-k + 0*k + 3*k))*(4*k**4 - 6*k**4 + k**4).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136271?\nAnswer: 29, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2667*h + 87998. Calculate n(33).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1130004948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -t + 29, -5*z - 2*t + 48 = 15. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130))\/sqrt(10) - (sqrt(13) + (4 + sqrt(52))**2).\nAnswer: -68 - 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1.5613\nAnswer: 0.62452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4744 divided by 49?\nAnswer: -4744\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7630 and 3815.\nAnswer: 7630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 9*j + 4. Let t be d(9). Solve -3*y + t = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b. Let c(k) be the first derivative of -3293*k**2\/2 + 3758. Give c(f(n)).\nAnswer: 9879*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1145, 4784, 10867, 19406, 30413, 43900?\nAnswer: 59879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**3\/3 - 15*r**2\/2 - 6*r. Let p be i(-12). Let z = 10 - p. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 + 29*v**3 - 55*v**2 + 27*v = 0. What is v?\nAnswer: 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2552 + 2552. Let j = -1 + -4. Let s = -12 - -16. Sort s, -1, z, j in ascending order.\nAnswer: j, -1, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -5\/2 (c) 4 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-4))\/((-21)\/56)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.76852 months to decades.\nAnswer: 1.498071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8683.\nAnswer: 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 14 - o**2 - 13 + 29)*(1 + 2 - 4).\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/12*2*-2. Suppose c - 271 = -r*y, y - 4*y + 274 = 4*c. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.900719 milligrams in tonnes?\nAnswer: 0.000000005900719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 5*u + 15 = 0, 4*i - 22 = 2*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 88 = -2*s. Suppose m + s = 5*m. Suppose 7*h - 227 = -164. Calculate the lowest common multiple of m and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16226127?\nAnswer: 3, 67, 71, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.023 - -0.023. Which is the nearest to d? (a) -3\/5 (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188450667 to the nearest integer?\nAnswer: 13728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 54 - 76 = 8*f, -q = 3*f + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:05 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6676.889 decades?\nAnswer: 66768.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - c - 5*c**3 + 6*c to the form j + a*c**2 + f*c + t*c**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*q = -951 - 1629 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 7, x: 2, w: 1, b: 5}. What is prob of sequence aw?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 s when three letters picked without replacement from {j: 1, s: 7}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/40 - v**5\/6 + 7*v**3\/6 - 4*v**2. Let o(k) = -455*k - 464*k + 3*k**2 - k**3 + 919*k - 2. Determine 2*n(q) + 7*o(q).\nAnswer: -q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 3:33 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 10*q**2 - 11*q + 11. Let c be a(11). Is c at least as big as 93\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -1\/8*y**4 - y**3 + 0 - 9\/4*y**2 - 2*y. Let j(m) = 0. Calculate m.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 12) in base 3?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/3))**(-6\/5))**18)**19 assuming v is positive.\nAnswer: v**(684\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.161 + -0.171. Which is greater: -66 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**7\/210 - a**5\/40 - 4*a**3\/3 + 9*a. Let s(k) be the second derivative of c(k). Find the second derivative of s(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021020 - -21?\nAnswer: 1021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = -4*k + 2*v + 363, 2*k + 12 = 5*v. Let x = -1 + 1. Put k, -1, x, -5 in ascending order.\nAnswer: -5, -1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18765, -37460, -56075, -74604, -93041, -111380, -129615, -147740?\n\"Answer: r**3 + 34*r**2 - 18804*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = o + 4*o - d, 5*d + 700 = 5*o. Suppose -5*n = -2*w - w - 238, -w - o = -3*n. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/672 and 83\/16?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-18)*1188\/96624\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 4. Let x(y) = y**3 - 19*y**2 - 17*y + 322. Let p be x(19). Let m(o) = o + 1. Calculate p*a(u) + 3*m(u).\nAnswer: 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 2*a - 50, 0 = 5*y + 5*a - 735. Solve -141 = 5*g - y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 12. Let f be 6\/24 + ((-6699)\/28)\/(-11). Is f at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/1 - -1) + (-4004)\/416 and -11\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d - 31*d + 35*d - 6 - 21. Let w be z(-15). Sort w, -20, -4, 4 in descending order.\nAnswer: 4, w, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 3160 + 6324 - 3162.\nAnswer: 3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1408 = 22*m - 14*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 588*v**2 + 2942*v - 6. Determine a(-5).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1) + (-17)\/(-8) + (-199)\/(-7960).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32025 and 17325.\nAnswer: 1056825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -39*p**2 + 6936*p + 1097. What is x(178)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 5. Let m(r) be the first derivative of -r**2\/2 - 5*r - 5. What is m(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*i - 6 = 0, h + h - 3*i - 15 = 0. Let q(n) = -2*n + 9 - h. Let p(k) be the third derivative of -k**5\/2 - 12*k**2 - 2. What is q(p(f))?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) -7 (c) -13 (d) -2 (e) 0.4 (f) 4 (g) 1784\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -23*l + 418. Let q be m(18). Solve -r = 4*r + 2*k - 25, -5*k = -q*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/6 - 2*q**3\/3 + 3*q**2\/2 - 4*q. Calculate the remainder when d(5) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*u**3 + 3*u**2 + 303*u + 26961?\nAnswer: -12*u**2 + 6*u + 303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*x**2 + 16*x**2 - 22*x**2.\nAnswer: -59*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {w: 2, f: 4, b: 10, m: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 2*k**2 - k + 2. Let s be z(-6). Suppose -s = -2*i - 0*i. Suppose -5*n - 14 = 11, -4*y = 4*n - i. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b**2*s**2*t - 2*b**2*s*t**2 - 4*b**2*s*t + 10*b**2 - 709811*b*s**2*t**2 - 5*s**2*t - 4*t wrt t?\nAnswer: -4*b**2*s - 1419622*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2940*o - 59. Let w(h) = 2943*h + 78. Calculate 4*m(l) + 3*w(l).\nAnswer: -2931*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 5:06 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 4 + 63*l.\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065614 (base 7) in base 3?\nAnswer: 110210022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 1, -2\/25, 1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*q + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 26 = -7*y, -18129*n + 18128*n + 16 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -136?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400, -399, -398?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let r be ((-92)\/115)\/(u\/(-220)). Let g = -89 + r. Is 1\/38 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.193447 weeks to minutes.\nAnswer: 82589.94576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -659019.\nAnswer: 131803.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 10. Suppose -2*w = 4*h + 8, -o*w + 4*h + 4 = -7*w. Solve -5*m - t = -0*m - 20, w*t = -3*m + 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200*q**2*x + 9754*q**2 - 5953216*q + 10*x wrt q.\nAnswer: 400*x + 19508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -5001\/4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 330234 (base 7) to base 2\nAnswer: 1110000110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5604 is divided by 468?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3279, -6254, -9229, -12204, -15179?\nAnswer: -18154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 1814 - 1806 = -30*c - 364 for c.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 300 - 3?\nAnswer: 2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 5\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 15069433?\nAnswer: 15069433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -41 in descending order.\nAnswer: -0.4, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/6)\/(-1*1). Let l = -18 + 18.1. Let t = 5.7 - 5.8. Sort l, w, t.\nAnswer: w, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**3 + 14*b**3 + b**2 - b**2 + 22*b**3.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.11 (b) -0.4 (c) -9 (d) 0 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -414042?\nAnswer: 414045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/9 + 38\/63. Let f = 359\/10 - 37. Let d = 123\/130 + f. Which is the third biggest value? (a) 0 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/772768 and 115\/12.\nAnswer: 2318304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 5*a - 489. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18133.488 to the nearest ten.\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 757*z**5 + 446*z**2 wrt z?\nAnswer: 45420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 1, h: 2, j: 1, i: 1, p: 1}. Give prob of sequence auj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -2 (c) -6.6 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 101\/202 + 1 + (-7)\/(-2) + 1. Let f(m) = m**3 - 5*m**2 + m - 33. Calculate f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 23*d**2. Let h(t) = -21*t + 57*t - 11*t - 15*t. Determine u(h(p)).\nAnswer: 2300*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 4*v**2 + 3*v + 1. Let y = 3 + 0. Suppose 11 = -y*o + 5*c, -5*o = 2*c - 4*c + 12. What is r(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -74.985.\nAnswer: -78.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 879346 divided by -16?\nAnswer: -439673\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 12. Suppose 23 - 24 = -w - u, -3*w = -3*u - 27. What is g(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + 44*o**2 - 136*o - 958. Give v(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112939059.\nAnswer: 3557, 312887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i**(-3)\/i*i*i))\/i*i*i*i)**8*i**(3\/7)\/i**(2\/17) assuming i is positive.\nAnswer: i**(5749\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3092 + 51*v - 6074 + 2982.\nAnswer: 51*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9653185 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 12 + -17 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s - 4. Let i be b(-3). Solve -r + 5*w - i = 0, r + 2*w + 3*w = 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n - 2. Let z be u(-1). Let v(o) = -o**3 + 8*o**2 + 9*o - 7. Let d be v(z). Sort 3, -3, d.\nAnswer: d, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114421.1 plus 258.9541?\nAnswer: 114680.0541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23113 + -12132?\nAnswer: -101311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 7 + 8. Suppose b - 2*z = 11, 4*z - z = 15. Suppose -b*i + 2 = -20*i. What is the remainder when a is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27975, 28062, 28149?\nAnswer: 28236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) - (-598)\/(-14). Let r(m) = 18*m**2 - 3*m - 2. Let o be r(-2). Let x = o + u. What is the greatest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 172*b - 13 + 5.\nAnswer: -172*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let m(a) be the second derivative of a**7\/840 - a**4\/4 + a. Let w(h) be the third derivative of m(h). What is w(n(f))?\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 45*x**2 + 1. Let f be p(-1). Let k = -43 + f. Let q(g) = -g - 5*g + k*g. Let o(z) = 9*z**2. What is o(q(s))?\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - 1730.\nAnswer: -1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -23*g + 25*g + 162167 - 162167. Let x(q) = -q**2 + 2*q - 119. What is n(x(a))?\nAnswer: -2*a**2 + 4*a - 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19743339 - -29817267. Let i(l) = 62732*l**2 + 13*l - 31. Let w be i(7). Let y = r - w. What is y rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28305714 a multiple of 1546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 15*t**2 - 2*t - 1. Let z(o) = o. What is s(j) + 2*z(j)?\nAnswer: -2*j**3 + 15*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f = -6. Suppose t + 2*b - 24 = 0, -f*t + 112 = -0*t - 4*b. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 f when three letters picked without replacement from dohthhthttoftdtdho?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9890020 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101011010011 - 1?\nAnswer: 10001101011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34632754*m**3 + 108*m**2 - 160*m - 31?\nAnswer: -207796524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 888 or 23966\/27?\nAnswer: 23966\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 8*n = 0. Suppose 3*j - 5*z + 1 = n, -30 = -5*j - 0*z + 2*z. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(20) + sqrt(80)\/sqrt(4))**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + 0*j**4 + j**4 + (-3*j + j + j)*(2*j**3 - j**3 - 2*j**3) + j**4 + j**4 - j**4 + 3*j**4 - 4*j**4 + 2*j**4.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - 2.03. Let l(d) = 3*d + 58. Let x = -246 + 220. Let q be l(x). Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0174*-4.\nAnswer: 0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 44*y. Suppose 120 = -28*r + 8. Let h(g) = 8*g**2 + 11*g. Let t(d) = 3*d**2 + 4*d. Let k(s) = r*h(s) + 11*t(s). Calculate k(f(u)).\nAnswer: 1936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 3. Let g be f(-2). Calculate the highest common factor of g and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 3:27 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*s**3 + 2*s**2 - 2*s - 243.\nAnswer: -864*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59, 124, 197, 284, 391, 524, 689?\n\"Answer: r**3 - 2*r**2 + 64*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 350.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66637391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 139*z**3 + 5*z**2 + 5*z - 10. Let m(p) = 2016*p**3 + 72*p**2 + 72*p - 144. Give -5*m(a) + 72*q(a).\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282288?\nAnswer: 2, 3, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -137.\nAnswer: -9.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 2.96. Let m = s + -3.5. Let t be (2 - (-6)\/(-4))\/1. What is the closest to t in 0.2, m, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008409 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/4 + 0)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(539) - (5*(sqrt(539) + -2 + sqrt(539)) - sqrt(539)))**2.\nAnswer: -4480*sqrt(11) + 138384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4514 + 7*h**2 + 4502 - 9016. Let x(z) = 7*z - 5. Let a(y) = 3*y - 2. Let c(j) = -5*a(j) + 2*x(j). Give k(c(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -7. Let x = 3 + 0. Let l(c) = 0*c**3 - 4 + 2 - c**x + 2*c**2 + 0. Let y(o) = -o**3 + 3*o**2 - 3. Give j*l(v) - 2*y(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*a - 15 = 109*a. Let o(s) = s - 8. Calculate o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 16) in base 5?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217 + 431 - 3*f**2 - 13*f**2 - 67*f**3 - 214 to the form v + b*f**3 + r*f + s*f**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-82)\/(-16) + 6\/(-48). Let c(x) = -x**3 + 5*x**2 + 5*x + 7. List the prime factors of c(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcx when three letters picked without replacement from cjxjxcccc?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1752, -1754, -1758, -1764?\n\"Answer: -s**2 + s - 1752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010110101000110101110 (base 2) in base 5?\nAnswer: -2230423420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*j = -2 + 3, 5*j + 7 = -2*a. Solve a + 8 = -5*y + r, -4*r = -2*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158609 divided by 10?\nAnswer: -158609\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 + c. Let k(t) be the second derivative of -3*t**5\/20 + t**4\/12 + t**3\/6 + t**2\/2 - 6*t. Let y(s) = 2*d(s) - k(s). Give y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from rxlrjlljrzjlrllz.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 10 + 10. Solve -4*i = -2*a - 4, -z*a - 2*i = -6*i + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47484730481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*y**2 + 219*y**2 + 36*y**2)*(2 - y**3 - 2).\nAnswer: -224*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121743084 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 632520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**4 + 2*b**4 + 0*b**4 + (b**2 - 2*b**2 + 0*b**2)*(2*b**2 - 4 + 4) - 4*b**4 + 2*b**4 + b**4.\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*g - 4*g + 2*g**2)*(-4*g + g + g) + g**3 + g**2 - g**2 + (0*g**2 + 0*g**2 + 2*g**3)*(-2 + 5 + 2))*(4 - 2 + 7)*(-1 + 1 + 2*g).\nAnswer: 126*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 151 - 153 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88628 and 22157?\nAnswer: 88628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/2 (b) -4 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1481, -3015, -4549, -6083?\nAnswer: -7617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*u + 505*u = 3*x - 22, -4*u - 9*x = -73 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1863451 + 9?\nAnswer: -1863442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 17 = -57 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 107, 4 in descending order.\nAnswer: 107, 4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 6053683\/70 and 86482 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n - 56*n + 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 10. Let p be k(-4). Let o = p + -12. Let q = 7 - o. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-15) + 582\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 + 254*f**2 - 341*f + 263. Determine c(-86).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 22289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 19*x, x - 74 = -2*j. What is the remainder when j is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 + -106. Suppose -5*v + 9 = -3*f - f, 0 = 4*v - 3*f - 7. Solve x = p - 4 - v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 1556. Let r be o(0). Suppose -4*u = -l - r, 2*u - 4*l - 778 = l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136800, -272724, -408648, -544572, -680496?\nAnswer: -816420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169 + 60*o**3 - 968*o - o**2 + 968*o + 109*o**3 wrt o.\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Let p(d) = -2359*d**2 + 4*d. Determine y(p(s)).\nAnswer: -4718*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*z - 72*z = -3*k + 96, -2*z + 12 = 2*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -252 times 152.56\nAnswer: -38445.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 + 1 + 2 + 1 + 2*o**4 - 2 - 2*o to the form s*o + j*o**4 + r*o**2 + i*o**3 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -41854.388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4) + sqrt(13) + 5 + 3.\nAnswer: 2*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 3386*h**2 - 10150*h + 3. Give x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-6) - -2)\/((-11)\/33). Suppose l*t = 2*d + 3*t - 82, 3*t - 12 = 0. What is the remainder when 505 is divided by d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**6\/360 - b**4\/72 + b**2\/2 + 2. Let i(o) be the second derivative of p(o). What is s in i(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**3 + 3*h**2 - 4*h + 2. Let f be g(2). Let m be f\/(-5*(-4)\/280). Round m to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3395688 by 1.\nAnswer: -3395688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odo when three letters picked without replacement from {o: 3, d: 1, t: 13}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -165, 1, -0.4, 0.1, -3, -105?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21824 - -0.15277\nAnswer: -21823.84723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-12 + (88 - (13 + -12)))) + -1?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27235116 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2683296 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -4*r + a, -4*a = 4*r. Suppose -2*b - 2 = 0, r*b = -3*n + 8*n - 17. Let m be ((-36)\/14)\/(24\/(-112)). Solve -n = 5*g + m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -102, -146, -190, -234, -278, -322?\n\"Answer: -44*b - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11138.2 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 32 = 5*i + 21, -4*o - 212 = i. Sort 3, o, -3 in decreasing order.\nAnswer: 3, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 180*s - 187 = -739, 146 = 3*v - s for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -27*s**2 + 335*s + 2000. Calculate o(17).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**2\/2 + 7. Let f(g) = 6*g**2. Give f(b(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15*-2)\/((-6)\/4). Solve r - 3*m = 10, -3*r - m - c = -0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-1)\/(1\/(-2))). Let i(u) = u**2 + w*u - 3*u**3 + 1 - u + 2*u**3. Let x(p) = -6*p**3 + 8*p**2 - 5*p + 6. Let a(n) = 5*i(n) - x(n). Give a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = -5*i, -2*d - 3*d = -i + 21. Does 10 divide (-48)\/(-12) - (i*-199 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*s**3 - 2*s**2 - 5*s**2 + 166*s**3 + s + 5*s**2 as a*s + q*s**3 + n + p*s**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoyy when four letters picked without replacement from yooyyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 180 - 541 + 182 + 4*j**2 + 184.\nAnswer: 3*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + ((-54)\/81)\/(2\/(-123)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1 - 3 - 17*n + 2. Let f be q(-6). Let w = -80309 - -80334. Calculate the highest common divisor of w and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*2\/(-8)*0. Suppose q + 2*m - 7 = -2*q, n = 5*q - 4*m - 19. Let v(g) = g**2 + 16*g + 6. Let u be v(-16). Solve u*z - 14 = -2*f + 4*z, f - q = z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 15 - 68*p**2 + 66*p**2)*(-146*p - 976 + 976).\nAnswer: 292*p**3 - 1314*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -2. Let x = 26.959 - -0.041. Let s = x + -26.6. Which is the third biggest value? (a) o (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 22, 2, -36, -98, -190?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 3*c**2 + 4*c - 2. Let d be x(6). Let p be (1 + 5)*d\/30. Solve 7 = 4*g + t + 25, 0 = -4*g - 5*t - p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25529172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -37204262.499558 - -0.8\nAnswer: -37204261.699558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18412*t**3 + 4947*t wrt t?\nAnswer: -110472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.6 - 7. Let z = 0.9 - s. Which is the nearest to 2\/7? (a) -2\/7 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30618 divided by -21.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2*g - g - 3*g + 2*g + 14*g + (-3*g + 4*g + 0*g)*(-2 - 2 + 3).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*o + 31*o - 18*o)*(2 - 2 + 2*o).\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2145, -5, 3, 4, 0, -89, -3 in increasing order.\nAnswer: -2145, -89, -5, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35611789139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -939*x**3 - 2*x**2 + 2*x + 4. Let v be n(-2). Suppose -y - 37502 = -5*p, -3*y = p - 5*y - v. What is p rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:14 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from kstthts?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -259509.372 to the nearest one hundred.\nAnswer: -259500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0*x + 0*x**5 + 1\/6*x**4 - 1\/2*x**3 - 73\/120*x**6 + 0 + 11*x**2. Find the second derivative of f(d) wrt d.\nAnswer: -438*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 12?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/158365 and 103\/3570.\nAnswer: 113072610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1253.6 + -1253. Let r = -58\/13 - -56\/13. What is the second biggest value in 0, t, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**5 + 97*u**4 - 5*u**3 + 6330*u**2 wrt u?\nAnswer: 180*u**2 + 2328*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.17282.\nAnswer: -0.17282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -27\/10, -0.11, -1\/3, -2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*k**2*w**2 + 4246*k**2*w + 16*k*w**2 wrt w?\nAnswer: 136*k**2 + 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 11:43 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + sqrt(192) - (sqrt(12)\/sqrt(4) + 1)))**2 + 3.\nAnswer: -14*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9584?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(1\/26)*m*(m\/(((m**(-6\/11)\/m)\/m)\/m))\/m)**(2\/3) assuming m is positive.\nAnswer: m**(723\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 63*s**2 + s - 2. Let g(n) = -128*n**2 - 2*n + 3. Determine 3*g(w) + 5*z(w).\nAnswer: -69*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 6. Let w be 90\/(-35)*(-28)\/o. Solve -2*i + 6*i + w = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 330\/7 + 48*t + 6\/7*t**2.\nAnswer: 6*(t + 1)*(t + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laul when four letters picked without replacement from abalblaiaaajlju?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/60 + o**4\/24 + o**3\/3 + 2*o**2. Let c(t) = t**2 + t - 11. Let z be c(0). Let j = -7 - z. What is r(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2 and 53\/22557488?\nAnswer: 22557488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/1)\/(145\/36 - 4). Let y = i - -40. Solve -3*a + 2*a - y = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1683 and 5423?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8924036, -8923995, -8923954, -8923913, -8923872, -8923831?\nAnswer: -8923790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*q**2 + 13*q**2 - 11*q**2)*(0 + 3*q + 0) to the form b*q**3 + j*q + p + w*q**2 and give b.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27298.\nAnswer: 2, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3) - 8\/12. Suppose -4*x + 3*a = k*a - 128, 3*x = 2*a + 91. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/70)\/(((-9)\/(-3))\/21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 59 = -13*t. Let l(h) = -h**2 - 14*h + 9. Let q be l(-15). Let m(g) = -g. Let f be m(q). Calculate the greatest common factor of f and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3 - 1860*x + 3 + 1861*x. Let u(y) be the second derivative of y**4\/12 - y. Calculate u(j(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -61, -121, -225, -385, -613?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079539 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 28 - 14 + 7 - 9*b + b**2 + 0*b**2. Let l be z(7). Suppose -22*s = -l*s - 1035. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*s - 306 = 0, -5*x + 310 = -3*s - 200. Suppose -x = -8*k + 82. Let h = 156 - k. What are the prime factors of h?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from vdvwvvwdvwwwjywtw.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -25*s**6 + 3*s**3 + 79*s**2 + 3. Let o(u) = 50*u**6 - 5*u**3 - 159*u**2 - 5. Let w(j) = 5*d(j) + 3*o(j). Find the third derivative of w(n) wrt n.\nAnswer: 3000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujux when four letters picked without replacement from {x: 8, j: 2, u: 2}?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2*y**2 - 18*c**2 + 4*c - 5*y**2 + 2*y wrt y?\nAnswer: -2*c**2*y - 10*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 - 3*z**2 + 2*z**2)*(5 + 2 + 2)*(2*z - 2*z + z) to the form l*z + b*z**2 + h + w*z**3 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (51\/6)\/((-2)\/20). Suppose 179 = -4*y - 13. Let s = y - a. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-2)\/4). Let s be z*(-9)\/(1*-3). Let i = s + 18. Calculate the greatest common factor of 60 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67481541*q**4 + 7*q**3 - 402870543 with respect to q.\nAnswer: -269926164*q**3 + 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = -13*n + 16*n. Suppose -2*x + 5*x - n = 0. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-114)\/12*(-2 + 0). What is the highest common factor of 152 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.04 - -0.04. Let n = j - -3.9. Let i = 0.2 - 1.2. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3813 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*0\/3. Suppose i = 5*p + 4*k, 0*p = 2*p + k. Suppose -3*j + 108 = -3*h, p = 5*h - h + 16. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 198*z - 1525. Let a be n(8). Solve t + 1 = 5*y, 58*y - t = a*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*f**3 - 462*f**3 - 429*f**3 + 1300*f**3.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*t + 11, 2*h = -3*t + 13 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5996 = -r - 2*f + 6013, -31*r = 4*f + 65 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/42 + (-26)\/273. Solve h = -32*u + 29*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 35.8. Let z = x - -0.8. Let v = 3.07 - 0.07. Put -2\/5, z, v in ascending order.\nAnswer: z, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 2, y: 3, x: 3, e: 2, t: 1}. Give prob of picking 2 x and 1 e.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -84*a - 21. Let k(l) = -21*l - 5. Let b(c) = -21*k(c) + 5*m(c). Calculate the remainder when b(2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1374.25 - -1374. What is the nearest to 0.2 in z, 7, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3418 + 2939 = -489*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 333.7407 weeks?\nAnswer: 201846375360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + sqrt(567) + (sqrt(567) - (sqrt(567) + 1)) + -4)*-4)**2.\nAnswer: -2880*sqrt(7) + 36688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*h + 23 = 3*c, -2*h + 14 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(76))**2*5 + -5 - (sqrt(209) + 4*(sqrt(209) + sqrt(209) + (sqrt(209) + sqrt(209)*-1 + sqrt(209) - sqrt(209))))\/(1*sqrt(396)).\nAnswer: -3*sqrt(19)\/2 + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/75, -0.05, -1835, -2 in ascending order.\nAnswer: -1835, -2, -0.05, 2\/75, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*d - c, -1 = 200*c - 203*c - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*t - 5, 4*t + 3 = d + 2*d. Solve t*i = -i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 8*a - 2. Let h be t(-6). Let d = -415 + 779. Suppose -d = 3*o - h*o. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 3. Let u be w(-4). Let z be ((-4)\/(-12))\/((-4)\/(-12))*21. Let g(r) = 39 - r + 3*r - z - 19. Give g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111294 is divided by 1484.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 247*g - 242*g - 5*j - 10, -15*g + 237 = 5*j + 267 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:05 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28648699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -2 in ascending order.\nAnswer: -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/37913 and -89\/2763980.\nAnswer: 85683380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 7:40 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 59 - 57 + 2*b**3 + 18566*b**2 - 18568*b**2. Calculate s(-3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 130, 202, 316, 478, 694, 970, 1312?\n\"Answer: y**3 + 12*y**2 - 7*y + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 74*l + 86 + l**2 + 112*l - 147*l. Calculate the remainder when m(-38) is divided by 78\/(-4)*4\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 4:46 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167219?\nAnswer: 13, 19, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 146*k**2 + 14*k - 7. Let q(v) = -142*v**2 + 12*v - 6. Calculate -6*a(n) + 7*q(n).\nAnswer: 6*n**3 - 118*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.460006 times -0.07\nAnswer: -0.03220042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402 divided by 5.\nAnswer: 402\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 310.09 - 310. What is the nearest to x in 0.8, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -16, 0*l - 3*t = -2*l - 6. Suppose x = w - l*w + 8, 0 = -4*w + 8. Let b(p) = -p - x*p + 8*p + 2*p + 1. Give b(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 686*j**4 - 5978*j**3 - 8442*j**2 - 3726*j - 540 = 0.\nAnswer: -3\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26 + 9)\/(2\/(-6)). What is t rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24242609.40141368 + -2658605.40141378. Let k = 21584008 - b. Let p = k - 4. What is p rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867232 is divided by 2136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737166739.\nAnswer: 737166739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 24. Let v(w) = -3*w - 23. Let l(z) = 5*n(z) - 4*v(z). Let j be l(14). Solve 0*k**3 + 0*k**2 + 0*k - 4\/7*k**4 - 6\/7*k**5 + j = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrrppirpdrm. What is prob of sequence dirr?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 168 = 5*v - 3*d, 0 = 3*v + 5*d - 184. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**3\/6 - 11*x**2\/2 - 3*x. Give b(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2111591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 22. Give f(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 7)\/(3\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((6336\/(-18))\/8)\/(-4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Let g be (r - 0)*(-3 + 6). Suppose -s - 10 = -g*s. Calculate the greatest common factor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29202007357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 3*n = 164, -2*l - 21*n - 73 = 73*n - 95*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 0 (c) 155 (d) 3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 + g + 2*g**2 - 15 - 4*g**2 + (0 + 0 - 2*g)*(2 + 2*g - 2) + 75772*g - 75772*g + 194*g**2.\nAnswer: 188*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(2\/13))\/o)**(-11)*(o**18\/o)\/(o\/(o*o*(o*o*o**(-3)\/o)\/o*o)) assuming o is positive.\nAnswer: o**(87\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69.2096 + 70.2. Let b = h - 0.96. Round b to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3002312034 (base 5) to base 3.\nAnswer: -102002210111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2477 is divided by 356.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -263899*z**2 + 42755.\nAnswer: -527798*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4900 is divided by 417.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1302.3*0.09\nAnswer: 117.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/154339615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128752 and 3363646?\nAnswer: 26909168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -47*h - 1. Let o = 4 - 8. Let j = o - -3. What is the tens digit of p(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*1 + (-1 - -5). Let a = -67 - -3. What is the units digit of -4 + 4 + s - a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14725568.27409+78\nAnswer: 14725646.27409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 604 and 59494.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 418, 260, -610, -2558, -5950?\nAnswer: -11152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/13 - 1810*g**3\/13 + 522642*g**2\/13 - 49231062*g\/13 + 7414308 = 0. What is g?\nAnswer: 2, 237, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 8\/3, -4, 2\/13, 0.7, 2, -1.38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2)*7\/((-189)\/36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 427017546 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10293528150 from 70281.\nAnswer: 10293598431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581346.\nAnswer: 2, 3, 32297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 7*f + 13. Suppose -3*u + 5*r = 5 - 9, r = 2*u - 12. What is p(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -225545345 - 15?\nAnswer: -225545404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -83450 (b) -0.56 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 63 - 434 + 367 - 15*j. Let u(m) = 14*m + 3. Give -3*u(t) - 2*x(t).\nAnswer: -12*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40014 and 754?\nAnswer: 1160406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**3\/6 - 5*x**2\/2 - 7*x. Let g be j(-5). Solve g*b = 5*b + 2*h + 7, -b + 5*h - 23 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9795.579 kilograms?\nAnswer: 9795579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 212433483433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 4:18 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73137.68 + 73189.68047. Let j = 51.879 + 0.121. Let n = a - j. What is n rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -34*n - 395. Calculate l(-13).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 8, l: 4, g: 1}. Give prob of sequence gl.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o - 117. Let t(g) = g + 84. Give q(w) - 4*t(w).\nAnswer: w - 453","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**3\/4 - 235*g**2\/4 + 1480*g - 5775 = 0. Calculate g.\nAnswer: -66, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n - 3*x + 9, -5*x = 4*n - 12. Suppose 0 = 2*t + n*t - 20. Find the second derivative of -2*i**t + 4*i + 0*i + 3*i wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 0.3, 3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10636*j - 226. Let x(t) = 3550*t - 75. Let l(i) = -3*c(i) + 8*x(i). What is the derivative of l(r) wrt r?\nAnswer: -3508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + ((-6)\/(-5))\/(32\/80). What are the prime factors of (-40)\/(-60)*((-28)\/(-1) + o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2396 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f. Let j(d) = -d**3 - 2*d**2 - 4*d. What is 4*h(o) - j(o)?\nAnswer: -3*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298095?\nAnswer: 3, 5, 7, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*m - 2286005 = 1906235 - 774490. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**3 - 2*q - 1. Calculate u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6783 - 251. What are the prime factors of v?\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jffzljxxljzjxfllffl. What is prob of sequence zj?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4176194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37\/3 in 0.165, 4, -1\/3, 8, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 l when four letters picked without replacement from vllvvvllvlvvlllvvlv.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*15281\nAnswer: -3056.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16600447*h**3 - 5*h**2 - 1506663*h wrt h?\nAnswer: 99602682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 1 - (3 + -2 - 3)) + 6762 + -6752.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24481*h + 552 = -24572*h + l, 18 = -2*h + l for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3865910383767 and -0.2.\nAnswer: 3865910383766.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.5 + 7.5. Which is the biggest value? (a) 5 (b) 0.3 (c) x (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*n + 7200 = -11890 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*f - 168*f + 24384. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 715*b - 79. What are the prime factors of c(3)?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 379, 413, 447, 481?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 1 u when three letters picked without replacement from qxqqauquxqqqqqax.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zooozz. What is prob of sequence ozoz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by -541?\nAnswer: -194\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1891027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/19 - 17166784*w\/19 + 36837309112832\/19 = 0.\nAnswer: 4291696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 6) to base 4\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/204 - 2\/(-17)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063181*b + 28987*b + 88909*b.\nAnswer: 1181077*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115473300 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 908170.2 millennia in years?\nAnswer: 908170200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 23582\/9 + (-32)\/144. Suppose 889 = -16*i + c. Calculate the greatest common divisor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40378 * -7.2\nAnswer: -290721.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -2*z - 5*w, -z - 5*w + 500 = -5*z. Is ((-10)\/z*6)\/(1\/1772) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14221*t. Let b(q) = -17*q. Determine c(b(f)).\nAnswer: 241757*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b*g*v + b*g + 3*b + 4*g*v + 553*g + 583*v - 7 wrt g.\nAnswer: -3*b*v + b + 4*v + 553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-2)*(-2)\/(-7)*(-399)\/2280. Put -0.028, g, 1, 1\/5 in increasing order.\nAnswer: g, -0.028, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.1 and 7861.5?\nAnswer: 7865.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*k - 5*l, 0 = 5*k - 0*l + 3*l - 55. Suppose -r - 11 = -4. Let g = 9 + r. Solve 4*x + 8 = g*w, -4*x - k = w + w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 11:30 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v = -124 - 38 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -103, -5.\nAnswer: -103, -21, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 2*j**4 - 2*j + 3*j**4 + 0*j**4 - j**4 + (0*j + 0*j + 2*j**2)*(121*j**2 + 385*j**2 - 309*j**2) + (-2*j**4 + 3*j**4 - 2*j**4)*(-1 - 3 + 2).\nAnswer: 400*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.1 + 4.3. Put -0.4, -0.5, b in descending order.\nAnswer: b, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16511593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g - 131. Give u(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431075.\nAnswer: 5, 43, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, 2\/9, 0.093, -2\/43, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*h - 2*h, -4*a + 88 = -h. Let f = a + -15. Let i(m) = m + 3. Calculate the smallest common multiple of i(5) and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (0 + sqrt(76))*5)*-6 - (3 + (sqrt(475) - (-4 + sqrt(475)*2))**2))*5.\nAnswer: -2470 + 440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from ezeizuiziidizziii.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/137 and -50\/11.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87435 and 2412.\nAnswer: 349740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -6 + (2 - (0 - -7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 4. Let u be z(-7). Which is greater: u or -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 20 = -5*q + w, -2*w = 0. Let d(h) = -2*h**3 - 8*h**2 - 11*h - 6. What are the prime factors of d(q)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2127228 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/134266 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -484 + 484. Suppose -55 + 396 = 4*n + 5*k, 4*n - k - 359 = t. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 3, f: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5 - 2246*a**4 - 631678*a**3 - 620458*a**2 + 2526744*a + 2517768 = 0?\nAnswer: -561, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8997.672 months in centuries?\nAnswer: 7.49806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 equal to -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 123, -107, -425, -795, -1181?\n\"Answer: 6*x**3 - 80*x**2 - 32*x + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -3*b**5\/20 - b**4\/12 + 2*b**3\/3 - b**2\/2 + b. Suppose 0 = -6*q + 7 - 43. Is j(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 - 127. Let h = a + -101. Let p(f) = f**2 + 10*f + 4. Determine p(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20331 divided by 3\nAnswer: 6777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 2*h**4 + h**3)*(0 + 2 + 0 + (127 + 89 + 40)*(-1 - 1 - 2)).\nAnswer: 2044*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 + 2*z**2 + 7*z. Suppose -45 = 20*g + 75. Let k(t) = -4*t**3 - 2*t**2 - 8*t. Give g*q(r) - 5*k(r).\nAnswer: 2*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -8 - (17 - 13). Let b be -2*(k - (-5)\/(-2)). Is 2786\/(-42)*(b - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 66*g + 12139. Calculate f(148).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(2*j + 0*j + j)*(1 + 27*j**3 - 2 - 29*j**3 - 8*j**4).\nAnswer: 24*j**5 + 6*j**4 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vbpbvbvpvc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2. Let g(j) = 7*j - 3. Let o(z) = -35*z + 14. Let q(u) = 14*g(u) + 3*o(u). Calculate w(q(t)).\nAnswer: -147*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 11:35 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4389\/8, -3, -4\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -670*j**6 + 322*j**2 + 555*j**2 - 4*j**2 wrt j.\nAnswer: -80400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010356 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 9*m. Let r be s(5). Let z be (-8)\/r + 684\/10. Let p = 21 + z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*f + 0*f - f)*(-2*f - 2*f + 6*f)*(0 - 5 + 3) to n*f + u + k*f**2 and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Suppose i - 21 = 5. Calculate the remainder when (303\/(-6))\/((-2)\/h) is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5397150 to the power of 1\/2, to the nearest integer?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 33, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5457, 21962, 49479, 88014, 137573, 198162, 269787, 352454?\n\"Answer: i**3 + 5500*i**2 - 2*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 57*q = 54*q - 138665, 0 = 2*c + 3*q - 69355. What are the prime factors of c?\nAnswer: 2, 5, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*h + 3. Suppose -a = -3*s + 20, 3*a - 193 = 2*s - 218. Sort 5, a, h in ascending order.\nAnswer: h, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.984999311 + -0.985. Round s to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v*((v*v*v**1\/v)\/v)\/v*(v*v\/v**(2\/3))**(-1\/5) assuming v is positive.\nAnswer: v**(71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.06 + -0.06. Let x = -1.0002 + u. What is x rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d - 21609 = 14244. Calculate the highest common factor of d and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.2, 89 in increasing order.\nAnswer: -0.2, 6, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3661412.\nAnswer: 2, 915353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 414 = -3*r, -3*r + 2*a + 414 = -0*a. List the prime factors of r.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 3, z: 13}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 1 + 1)*(w + 3*w - 5*w) + 2*w**2 - 4*w + 4*w + (0 + 0 - w)*(-w - 2*w + w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1777.25888 - 1777. Let t = h + -0.268. Round t to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 618 - -1403. What is the greatest common divisor of u and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 - -128. What is the units digit of w\/(-3)*(-2475)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15463 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/((-12259)\/46))\/((-12)\/(-26))*111\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47625\/35 - (-8)\/28 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1262731 or -1262732?\nAnswer: -1262731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 5. Let c be y(-5). What is the highest common factor of 45 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 2 + 12\/(-4). List the prime factors of 16\/o + (-2 - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.836 + 14.444. Let o = k - 2.75. Round o to 1 decimal place.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (-438)\/(-24) + (-1)\/(-4)*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142784675 and 12980425?\nAnswer: 142784675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*-6 + sqrt(17) - (sqrt(17) + sqrt(17) + -1 + sqrt(1700) + sqrt(17)) - (sqrt(119)\/sqrt(28) - -1*sqrt(272))**2.\nAnswer: -1373\/4 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-18)*-2 - (-8)\/3. Let f(j) = 9 + 5*j - 7*j + 2*j**3 + 7*j**g - 3*j**3. Determine f(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 4:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 7*f + 2*f)*((-2 - 2 + 1)*(-2*f**2 - 5*f**2 + 3*f**2) + f**2 - 4*f**2 + 5*f**2) in the form d*f + a*f**3 + n*f**2 + i and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 285*m**2 - 20*m + 63. Does 12 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 v when three letters picked without replacement from cvvzrrvzczzzzczcz.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1211.04046 - 1211. Round d to three decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -148*h + 21*h + 506*h = -176*h + 8880 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -144474 divided by -363\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46725 and 4200?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 498 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from rrfkrsrs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:26 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21c (base 14) to base 5.\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o + 1. Let z be q(-1). Calculate the common denominator of (-3045)\/(-98)*(-1)\/(-3 - 2) and 3\/z - 131\/12.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -25*y + 95. Let d be t(4). Let h(i) = -2*i + 4. Let p(w) = -1. Let s(a) = 2*h(a) + 2*p(a). What is the tens digit of s(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -52*d**6\/3 + d**5\/5 + 472*d**3\/3 + 706. What is the third derivative of w(x) wrt x?\nAnswer: -6240*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s + 7 - 7)*(3*s**2 - 3*s**2 + 5*s**2) - 23 - 4*s**2 - 3*s**3 + 23.\nAnswer: 72*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186518714141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-22150)\/20)\/(4\/(-24))*(-12)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-51))\/((-190)\/57)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12098, 24195, 36292, 48389, 60486?\n\"Answer: 12097*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 40, 1 in ascending order.\nAnswer: -8, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5547? (a) -18 (b) -1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223887 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3824466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10929\/13468 + -20\/1443. What is the common denominator of 155\/126 and v?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837 (base 9) in base 12?\nAnswer: -997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u + 7. Calculate v(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l, 4*u + 5*l + 1191 = 8*l. Let i = -306 - u. Which is greater: -86\/19 or i?\nAnswer: -86\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 4*b - 16, -y - 4*b - 16 = 0. Suppose -z + y*z = -26. Calculate the highest common factor of z and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*u + 1634 = 152*u + 67*u - 127 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a + 31*a = -23*a + 308. Calculate the lowest common multiple of 364 and a.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + 174. Let u = -186 + c. What is the highest common factor of 9 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbtt when four letters picked without replacement from tttbttbtttttbttttttt?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -1\/3 (c) -39 (d) 2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476.02736 nanoseconds in days?\nAnswer: 0.00000000001708365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 17 + 89*t + 11*t as i*t + f and give i.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 18}. Give prob of sequence ld.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 3:36 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 18 = 3*u, 12*b + 24 = -23*u + 7*u + 12*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253 - 1768\/7. Let h = -104 + 176. Let k be (-16)\/h - 34\/(-72). Which is the nearest to k? (a) -2 (b) p (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005638 rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*y - 21*y - 2812 - 1406 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -375.2942765 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -1\/2*k**4 - 36 - 2\/3*k**3 + 0*k + 0*k**2. Determine q so that t(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -397 divided by 1282\nAnswer: -397\/1282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h**5\/13 - 154*h**4\/13 - 290*h**3\/13 - 246*h**2\/13 - 88*h\/13 - 8\/13 = 0. What is h?\nAnswer: -2, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/19 + 135\/38. Suppose u*h**2 - 2 - 6*h = 0. What is h?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -111, -223, -351, -501, -679?\n\"Answer: -f**3 - 2*f**2 - 99*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30364155 (base 7) in base 5?\nAnswer: 1122140132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 62. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -58. Suppose -a + 5*a = 4*j, 0 = -a - d*j + 16. Suppose f = -a*s + 449, -2*s = s - 5*f - 354. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.07 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*g - 3. Let u be ((-3)\/(9\/(-12)))\/g. Suppose 2 = -5*r + 2*r + u*i, 0 = r - i. Let h(b) = b - 1. Let q(n) = n**2 + n - 1. What is r*q(l) + 2*h(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6656 + 113?\nAnswer: -6543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - (-5)\/2. Suppose z*i - 218 = 4*t + 203, -i + 4*t + 151 = 0. Does 45 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2. Let i(z) = 10*z**3 - z**2. Let q(c) = i(c) + 6*y(c). What is the third derivative of q(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -53\/217 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 12339754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 7. Let l be f(6). Suppose -l = -5*r + 9. What is the remainder when 7 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/3 + 6*t**4 + 10*t**3 - 50*t**2\/3.\nAnswer: 2*t**2*(t - 1)*(t + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyx when three letters picked without replacement from yjxjjvevjxdxdxx.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1024 + 944 = -8*l. Calculate the remainder when 48 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 15*r**2 - 6*r**2.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 141456?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6) + 1)*((-44)\/(-7) + -6). Let o*u**2 + 2\/9*u - 2\/9*u**4 - 2\/9*u**3 - 4\/9 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 602261338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + m = 40, 4*m = p - 2*p + 10. Suppose p*x = 6*x - 8. Suppose 3 = 2*b - 3*c + 16, 24 = -4*b + 4*c. What is the smallest value in x, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 5306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**7*(c\/c**(2\/27))\/c*c)\/((c*c**(-11)*c)\/c**(1\/11)))**(2\/9) assuming c is positive.\nAnswer: c**(10702\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*t + 21 = 0, 23*t + 4 = 19*t. Let m(r) = 2*r**2 - 16*r + 4. Let u(b) = 1. What is h*u(p) + m(p)?\nAnswer: 2*p**2 - 16*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 37, 39, 31, 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -126, -105, -76, -39, 6?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 167*d + 1281. Give g(-161).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyqqobbobbq. Give prob of picking 1 q and 3 b.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 20 = -23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1316 and 33887.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0.05 in ascending order.\nAnswer: -5, -3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/7 + 3008*b\/7 - 180953\/7 = 0. What is b?\nAnswer: -3067, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeeel. What is prob of picking 2 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.3, 2, 0.2, -1\/3 in decreasing order.\nAnswer: 2, 0.2, -0.3, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*v + 2 = -0*t, 2*t = -5*v + 1. Solve l = 4*d - t, -d + 0*d + l = 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 6*v**2 + 6*v. Let b be d(4). Let o be -2 + (-9)\/18*12. Do o and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g**2 + 64*g + 4. Let t be q(-7). Sort 2, -2, t, -16 in decreasing order.\nAnswer: 2, -2, t, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 10 + 15, 2*b - 10 = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*b + 4 = 163*b, -i = -3*b + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12579, -50343, -113277, -201375, -314631, -453039, -616593?\n\"Answer: z**3 - 12591*z**2 + 2*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 + -37. Suppose -b = -f - f. Let p = 61 - 35. What is the highest common divisor of p and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 18*y**2 + 443*y + 1448. Determine n(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 30*m + 210. Calculate the remainder when d(-6) is divided by 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 8) to base 10\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202102020 - -1101?\nAnswer: 202110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t - 53. Calculate the lowest common multiple of 4 and j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) -5 (c) 0 (d) -4 (e) 87.926 (f) 4 (g) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14*s + 16*s + 13 - 23. Let r(z) = -z + 4. Let u be r(-4). Calculate d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648, 1303, 1968, 2643, 3328?\nAnswer: 4023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3633115.\nAnswer: 5, 726623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 208185076\nAnswer: -1\/208185076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 20106313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/12 + 4*j**3\/3 - j**2 + 12*j. Calculate z(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5901803 decades?\nAnswer: 70.821636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -11. Let y = -1 - f. Find the second derivative of 10 - 10 - 2*b**y + 2*b wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3547311033?\nAnswer: 3, 7, 168919573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/sqrt(36))\/(sqrt(3) - sqrt(6)\/sqrt(32)))\/(sqrt(16)\/(-2*sqrt(8)) + (sqrt(98) - sqrt(2))*4).\nAnswer: 4*sqrt(5)\/141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 873311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -219*s. Let y(o) = -2*o. What is y(j(p))?\nAnswer: 438*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**4\/24 - g**3\/6 + 6*g**2. Let v be p(3). Suppose -3 = v*u - 7, 1 = z - 5*u. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*i**5 - 31*i**5 - 26*i**5)*(-6 + 6 + 9).\nAnswer: -1017*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -11*z**7\/21 - 2*z**4\/3 - 7*z. Find the third derivative of i(h) wrt h.\nAnswer: -1320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-seven thirds of a day?\nAnswer: 32160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33274 and 5?\nAnswer: 166370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3151554?\nAnswer: 2, 3, 7, 75037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86 (base 9) to base 11.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23117321 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32355 and 5679.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 - 0\/(-1)). Suppose a = -s + 12 + 3. What are the prime factors of 3\/(2 - s\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2\/((-28)\/77). Find the second derivative of -y - 95*k**2 - 27*k + 80*k - 29*k - 28*k wrt k.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/4 - n**2\/2 + 43*n + 74. What is the remainder when 156 is divided by p(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119504164?\nAnswer: 2, 13, 181, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(4*sqrt(3)) - sqrt(14)\/sqrt(32))*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60141691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258165*w + v = -258159*w + 46, -v - 16 = w - 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6310, -15388, -24464, -33538, -42610?\nAnswer: -51680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/30)\/((-1)\/(-2)). Is -28 - -814 - 5\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00064536 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ionooobiniiiibbiii. Give prob of sequence ni.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1501, 3013, 4543, 6091, 7657, 9241, 10843?\n\"Answer: 9*y**2 + 1485*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*y**2 - 4\/7*y + 2\/7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m - 236142 + 236097 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 + 2 = 0. Suppose x = -w + 2*x, 4*w - k*x - 8 = 0. Suppose -w*p + 2 = -6. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 0.4 (c) -106\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26723310 to the power of 1\/2, to the nearest integer?\nAnswer: 5169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d**2 + 25*d - 7. Give a(-6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116923 - 71*c**2 + 116923 to l + i*c**2 + x*c and give i.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/552)\/((-5830)\/(-159) - 37 - (-1)\/12).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 7*l**2 + 2*l - 9. Let t be g(7). Suppose -2*m - 152 = -4*u, t*u - 3*m = -5*m + 181. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16664, -16602, -16482, -16292, -16020, -15654?\nAnswer: -15182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3 + 2 = -5*u, 5*i + 35 = -u for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9855929 - -5?\nAnswer: -9855924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*k**2*r + i**3*k**2 - 291*i**3*k*r + 36*k**2*r + k*r wrt k.\nAnswer: -2*i**3*r + 2*i**3 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29379 + -0.293832925. Round m to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*m**2 + 872*m**2 - 8*m**3 + 6*m**3 - 437*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -1240?\nAnswer: -1240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10333323 (base 4) in base 14?\nAnswer: 7667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7) + 5)*-3.\nAnswer: -15 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/9 + 1732*v - 202982\/9 = 0.\nAnswer: -7807, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 162.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.4 (c) 0 (d) -2\/313 (e) 1\/2 (f) 0.057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4659 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ututituttz. What is prob of picking 2 u, 1 t, and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/72773 (b) -136 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -367? (a) 2 (b) 4\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1*sqrt(180)*-1 + sqrt(180) + (-1 + -1*sqrt(180))**2 + sqrt(180) - (5 + sqrt(180)*1 - (sqrt(180) + 6*(sqrt(180) + -1)))**2)*6.\nAnswer: -38520 + 4968*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiyi when four letters picked without replacement from {i: 13, t: 3, y: 3}?\nAnswer: 143\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/5)*n)**7\/(n**(2\/19))**8 assuming n is positive.\nAnswer: n**(1383\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1480, 5922, 13326, 23692, 37020, 53310?\nAnswer: 72562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10356 and -65641516?\nAnswer: 65631160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 763934 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 53. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 21*x + 67 - 28 = 0, 0 = 2*x - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12738 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(2*sqrt(9)) + -3.\nAnswer: -3 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 157, 1\/3, 14, 3, -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1203, -2411, -3623, -4839, -6059?\n\"Answer: -2*v**2 - 1202*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24635 divided by 1251\nAnswer: -24635\/1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 19*w + 3. Let l be j(-1). Let h be 2\/(-9) + l\/(-72). Solve -2*a = 5*p - 2, 4*a + p - 4 = -h*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -15*i**2 + 11171*i + 78948. Calculate g(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1788\/89 + 549879\/27145. Let r be (-3)\/2*(-4)\/183. Let q = a + r. Put -1\/3, q, 0.1 in descending order.\nAnswer: q, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57994175.\nAnswer: 5, 19, 83, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -770\/907 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o + 76. Let p be n(12). Let g(q) = 8 + 0*q - q + 0. Let f be g(p). Solve -f*z + 20 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 11*w**2 - 54*w - 131. Let p be d(-14). What is the greatest common factor of p and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 m when four letters picked without replacement from {v: 2, c: 6, z: 1, m: 4}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.196 to 1 decimal place.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 1 - 1 + (-1 - 3 + 5)*(4*l - l - 2*l) - 51*l - 7*l - 6*l to the form g*l + x and give g.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6897*g - 393396. What is t(57)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2092 + -12565\/6. Let j = -1 - 1. Find the common denominator of v and (-2)\/j - (-2)\/(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 49*k**3 - 2*k**2 + 1. Calculate x(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*s + 3*u + 72, 100 = s + 4*u. Let q be (75000 - 0)\/((-6)\/s). What is q rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/940 and (-4444)\/(-280) + (-555)\/37?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5\/9 + 96*s**4 - 39284*s**3\/9 - 790120*s**2\/9 - 1351168*s\/3 - 5274752\/9 = 0. What is s?\nAnswer: -7, -2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27240 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 3. Let q = -36 - w. What is the second derivative of 11*m**3 + 22*m**3 - q*m - 10*m**3 + 48*m wrt m?\nAnswer: 138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 (base 14) in base 16?\nAnswer: 5da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4729 and -119\/10?\nAnswer: 47290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 20, 3*y + 17 = -3*v + 44. Suppose 5*k + 3*c = 7*c + 84, -4*c + 116 = y*k. What is the remainder when 1175\/20 + (-2)\/(-8) is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8350632 months?\nAnswer: 0.000695886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 7*f**2 - f + 1. Let s be p(5). Let k(i) = 3*i**2 + 2*i. Let h be k(3). Let x = s - h. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 8, l: 5}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 3*m = 15*q - 1, 4*q + m + 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.97592 kilometers in centimeters?\nAnswer: 9297592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b8 (base 14) in base 5?\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17*z - 213. Calculate n(-17).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 2. Let f be (10\/(u + 3))\/1. Let b = -9317 + 27949\/3. What is the nearest to 0.1 in f, b, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p**(2\/7))\/p*p)**(-38)*(p**(1\/4)\/p)**3)**6 assuming p is positive.\nAnswer: p**(-7485\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 49945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 684*s**2 + 631*s + 601*s - 206*s**2 - 1228*s in the form g*s**2 + i + h*s and give g.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0 = -8. Suppose y*q = q. Solve 9 = -3*w + 4*c - 8*c, 4*w + 3*c + 12 = q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49095507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 5, -34 in ascending order.\nAnswer: -34, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*b + 6, -80 = -2*s - 5*b. Suppose 7*m - 123 = s. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -2\/7, -47?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7728 - -1931. Let j = 5829.17 + l. Let u = j - 32. Is u greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5118825 divided by -393?\nAnswer: 13025","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(72)\/sqrt(4)))**2 + (3 + sqrt(35)\/sqrt(5) - (4 + sqrt(7))*4)**2.\nAnswer: 78*sqrt(7) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x**2. Let n(y) = -5*y. Calculate n(q(g)).\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*a - 3*a. Let w be 9\/(-3) + (-306)\/a. Suppose -6 = -5*f + w. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 21. Let a(l) = -156*l**2 - 2*l. What is a(d(r))?\nAnswer: -156*r**2 - 6550*r - 68754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-9 - -5) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/3 + 113*s\/3 - 112\/3 = 0.\nAnswer: 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1417191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (834*d - 834*d + 25*d**2 + 1)*(-5 + 5 - d + (-d + 7*d - 8*d)*(-1 + 3 + 0)) as t + a*d**2 + m*d**3 + z*d and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16021174355.26 - 0.1.\nAnswer: 16021174355.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a - 76. Let b(s) = 872*s. What is w(b(t))?\nAnswer: 2616*t - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*w + 2, -6*f + 16 = -2*f. Let s = w - 4. Let m be 17 - -2*(-1)\/s. Solve -3*b + 2*o - 5*o + m = 0, -b + o + 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 1. Let y(d) = -30*d**2 + 20*d - 40. Let q(o) = -25*v(o) + y(o). Suppose q(l) = 0. Calculate l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -432*g - 2. Let h(b) = -2*b. What is s(h(n))?\nAnswer: 864*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 2 (b) -0.1 (c) -12 (d) 8 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 - -255?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168305, 171106, 173907, 176708, 179509?\nAnswer: 182310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -0.04296?\nAnswer: -0.0008592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 1. Let v(n) = 4*n + 3. Let l(x) = 6*g(x) + v(x). Let j be l(-4). Solve -18 = j*f + 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3850\/(-12705)*-12*(-6)\/(-20)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -18*g**4 + 24*g**3 + 10*g**2 - 24*g + 8 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3 - 2*n + n**3 - 2*n**3 - 7*n - 8*n**2 + 3*n. Let q be t(-7). Let v be (-8)\/(-26)*q\/8. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + ((((1*sqrt(605) - sqrt(605)) + 5 - sqrt(605)) + -5 + sqrt(605) + 0 + sqrt(605))**2 - (-5 + (2*sqrt(605))**2 - (sqrt(605) + 0)*-1)).\nAnswer: -1816 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1824 - 1800 = 6*z. Solve 22 = l - 5*m, -5*m - 32 = z*l - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 21 - 0 - (8 - 12 - (2 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -2.069?\nAnswer: 37.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -628*d**4 + 4*d**3 - 22*d**2 + 315510*d wrt d.\nAnswer: -7536*d**2 + 24*d - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0667088 to 4 dps.\nAnswer: 0.0667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (0 - (4 - 10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 11*m + 8. Let w be x(10). Suppose w = 4*u + 2. Suppose 5*b + 5*k = 105, -2*b = 3*b - 3*k - 73. Solve u*s - 3*i + b = -s, 5 = -s + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(2400\/18288) + 76.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 19. Let o be q(-6). Suppose 14*r - o*r - 39 = 0. Suppose 0 = -2*w - 0*w + 76. Calculate the remainder when w is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-5 - -8 - 7)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1059*s**2 + 24359*s - 38. Give g(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oox when three letters picked without replacement from {r: 5, x: 2, o: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5551)\/(-21) - (-2)\/(-6). Suppose 114*d - b = 112*d. Calculate the remainder when d is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 1162034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3556.3 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j + j)*(-3*j + 3*j - 2*j) + 6*j**2 - 1 + 50*j**2 + 3*j**2.\nAnswer: 61*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229614627.\nAnswer: 3, 11, 6958019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369\/17 at least as big as 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-851) + (-14362)\/10879?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 - -1.7. Let p = -27 - -29. What is the second smallest value in h, p, -20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 398477271*n**3*o**2 - 63*n**2*o**2 - 3045*n**2 - 7*n*o + 7*o**2 wrt n?\nAnswer: 2390863626*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6edb + -6886?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*a + 153*a**2 - 62*a.\nAnswer: 153*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -62011674?\nAnswer: 62011677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 720.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3425500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 530\/(-689)*(-104)\/(-224)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3 + 9*o**2 - 11*o**2 - 5 - 2. Calculate c(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**5\/5 + 9*n**4\/16 - n**3\/2 + n**2\/8 - 1. Determine a, given that z(a) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 13*k + 26. Suppose 5*j - 96 + 81 = 0. Sort -3, k, j, 0 in increasing order.\nAnswer: -3, k, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7287d0 (base 14) to base 12.\nAnswer: -1364902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21138140, -21138138, -21138136, -21138134, -21138132?\nAnswer: -21138130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 5:23 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100721?\nAnswer: 47, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkhhkkhkkkvkkhkhkk. Give prob of sequence kh.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/360 + 8*s**5\/45 - 95*s**4\/24 + 25*s**3 - 1655*s**2. Factor x(y).\nAnswer: -(y - 15)**2*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*1*5\/(-30).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123306 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14 = 52. Let f = q + -10. Let x = f - -92. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57990 or -57945?\nAnswer: -57945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -2, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, o: 2, v: 4, p: 2}. What is prob of picking 2 i and 2 v?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l + 9. Let x be h(-6). Suppose 0 = 3*m - 4*o - 1576, 3*o - 1048 = -2*m + 7*o. Suppose -24*c + 8*c = m. Is x at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (3 + 1))*-5. Is 12\/(-18)*z\/(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k + 3*k + 4*k)*(-52*k + 8 - 9145*k**2 + 8588*k**2 + 50*k) + 3*k**3 - k**3 + 0*k**3 as m*k**2 + y*k + l*k**3 + b and give l.\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14688\/(-1768) + (-4)\/(-13) - -6. Sort 5, p, 84, -4, 3 in descending order.\nAnswer: 84, 5, 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13393243, -13393248, -13393253, -13393258?\n\"Answer: -5*b - 13393238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i**2 + i - 1. Let j(g) = g + 5. Let r be j(-4). Let a be d(r). Let n = a + 12. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 267 - -139. Let y = 380.125 - f. Let g = 26 + y. What is g rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258018 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1108656 and 138582?\nAnswer: 1108656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (sqrt(91) - (sqrt(91) + sqrt(91) + sqrt(91)*2)))*-5*-5)\/((-2*sqrt(847) + sqrt(847))*-6 + sqrt(847))*-1*1)**2.\nAnswer: 130000\/5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 233.4 - 232.4. Put 77\/2, j, -2, 3\/5 in decreasing order.\nAnswer: 77\/2, j, 3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, p: 5, q: 7, j: 2}. Give prob of picking 1 w and 3 q.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/2))\/(o*o**(-1))*o**2\/(o**(5\/6)\/o) assuming o is positive.\nAnswer: o**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 6, 12, 10, -6, -42, -104?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*15\/(-40))\/(18\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 1. Let y(z) = -6. Let n(i) be the first derivative of 2*i - 2. Let g(t) = 7*n(t) + 2*y(t). Determine -3*f(c) - 2*g(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o*o**15)\/o)*o)**(4\/7) assuming o is positive.\nAnswer: o**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*u**4 + 300*u**3 + 215*u**2 - 740*u + 300.\nAnswer: 5*(u + 3)*(u + 5)*(3*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8608 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnwpcnpccpznzcccwnnp. What is prob of picking 1 n, 1 z, and 1 c?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:55 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -320 (c) 8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.42 + -0.22. Let u = -1\/67753 + 104746147\/609777. Let l = 172 - u. Which is the biggest value? (a) -3 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g. Let y(f) = -f + 1. Let l(c) = p(c) + 4*y(c). Suppose 0 = 2*b + 2*b - 16. Calculate the remainder when l(2) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2, -6*q - 78 + 32 = -5*i. Solve -4*g + i = 5*n, -3*n - 2*g = -24 + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2198*z + 149419. Calculate n(68).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/8 - 2) + 3757\/52 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 11111?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 673 - 43. Let u = 271 + o. Is (-7)\/(28\/u)*-2 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71952282?\nAnswer: 2, 3, 3997349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (-4 + sqrt(612) + 1 + sqrt(612))**2 + -5.\nAnswer: -72*sqrt(17) + 2443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -85*g*q*w - 205077*g*q - 14*q*w - 7*w wrt w.\nAnswer: -85*g*q - 14*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(325))**2.\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 4 + 1130*l**2 - 1131*l**2 + 1 - 5*l - 4*l**3 - 1 as i + q*l + n*l**2 + t*l**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) 1\/23 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9989198820 - 0.5.\nAnswer: -9989198820.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - q + 6*q - 16*q - 1 - 163*q**2.\nAnswer: -163*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -139? (a) 2\/5 (b) -16991 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*o - 84*o - 53*o in the form k*o + n and give k.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684 and 30042.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y**5\/9 - 23018*y**4\/9 + 16479242*y**3\/9 + 112095292*y**2\/9 + 137295704*y\/9 - 41587280\/9 = 0.\nAnswer: -5, -2, 1\/4, 1442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - 13*w**3 + 3*w**3 + 84 + 3*w**3 + 5*w**3 + w - 2*w**2 in the form l + j*w + z*w**2 + c*w**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = -7. Let v(q) = -q**3 - 6*q**2 + 2*q - 14. Let r be v(d). What is the greatest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 - f - 56. Let l be v(0). Let p = 78 + l. What is the remainder when p is divided by (-10)\/(-3)*(-24)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*s - 23 = -4*i, 0 = i - s - 8. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v**2 - v + 2. Let f(g) = -10*g**2 - g + 2. Calculate -6*f(a) + 5*n(a).\nAnswer: 5*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjj when four letters picked without replacement from jjkjkjkjkkkk.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -45 (b) 612.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*n = 175, -27 = f - 2*f + n. Calculate the remainder when f is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 j when three letters picked without replacement from {w: 9, o: 4, j: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 6*o - o)*(-22*o - 2 - 15*o + 11*o) to the form k + v*o**2 + c*o and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 4*k**3 + 0*k**3 + k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.1291 + -16.8709. Put -0.3, 38, c in ascending order.\nAnswer: c, -0.3, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -39 - (102 - 74)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -62, 4, -13, 17, -5 in ascending order.\nAnswer: -62, -13, -5, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49908 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 17 - 3 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 265302 and 33?\nAnswer: 2918322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and -1936752484.48?\nAnswer: 1936752476.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174846885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**6\/480 + l**5\/120 - l**4\/96 - l**3\/12 - 26*l**2. Find z such that m(z) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 870 = -5*r, -5*b + 5*r = 69 + 751. Is b greater than -169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 20*u**2 - 44*u + 410. What is q(-21)?\nAnswer: 893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1554 by -6.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c + 1. Suppose -37 + 12 = -5*z. Calculate the remainder when s(4) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224 - -15010\/67. What is the closest to c in 6\/7, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**22*l)**(-13)*l**30*l**(1\/3) assuming l is positive.\nAnswer: l**(-806\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/3)\/(((-100)\/(-15))\/10). Suppose y*w = -x - 3*x + 32, -x - 5*w + 24 = 0. Solve 0 = 4*n - 5*k + 18, -3*n - 6 - 8 = -x*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -149 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 5*r**2 - 2*r**2 - 7*r**2 + 50*r to t*r + b + v*r**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107763568?\nAnswer: 2, 11, 55663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10638 - 10638.34. Let g = -1.9 - -2. Let c = g - l. What is c rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -7*b**2\/2 - 18*b - 149. Let v(z) = 3*z - 2. Let r(a) = -3*v(a) - x(a). Determine r(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 8*p**2 + 15*p + 1. Let m be q(-10). Let x(v) = -4*v + 51 - m. Let z(o) = -o**2. Determine z(x(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188138 is divided by 181.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 16, -2, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*p, 3*p - x + 4 = 5*p. Is 1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(1*sqrt(6)))\/(sqrt(8)*2).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 490038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -73 + 103. Calculate the highest common factor of 165 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1291003 + -2582001\/2. Suppose 5\/2*m**4 + 0 - 5\/2*m**2 - 5\/2*m**3 + z*m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 17, 7, -7, -25, -47?\n\"Answer: -2*w**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(14)\/sqrt(98)).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 2873610.\nAnswer: 2873610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(280)\/(1*sqrt(8)))\/sqrt(5))**2 + 5.\nAnswer: -6*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnllclllllnnn. Give prob of sequence lnc.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 872208*b. Let p(m) = 6*m**2 - 34. Calculate w(p(z)).\nAnswer: 5233248*z**2 - 29655072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*l - g + 1, 3*g = -2*l - 3. What is the first derivative of -7 - 6 + 6*k**3 + l wrt k?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 3 + 5*o + 0. Let y(w) = w + 2. Suppose -5*k + 3*m - 31 = 0, -4*k + 5*m = k + 35. Let l = 534 - 530. Calculate k*y(f) + l*z(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i\/((i*i*i*i\/(i\/(i\/(i\/(i*i**29))))*i)\/i))*i*i\/(i\/i**33)*i*i*i\/(i\/(i\/(i**(2\/117)*i*i)))*i\/(i*i**(-17\/5)*i) assuming i is positive.\nAnswer: i**(40589\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 4*s**2 - 4*s + 2. Let u be b(-5). Let f = 5 + u. Suppose -f*h = 2*h - 28. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -13. Let j = q + -5.5. Let p be 20\/(-171) + 2\/9. Sort j, p, 4 in increasing order.\nAnswer: p, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/165*2)\/(-15*(-22)\/2475)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2149 = -56*r + 7595. What is the highest common factor of r and 16414?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 727202 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*d + 12, -4 = -0*v + v - 2*d. Suppose 3*u + g + 2*g = 27, 0 = v*u + 5*g - 37. Calculate the least common multiple of u and 34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 7*v - 186. Calculate the remainder when v is divided by 360\/(-20)*((-15)\/18 + -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.6 - -175.\nAnswer: 231.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r + 4\/7*r**2 + 52\/7.\nAnswer: 4*(r + 1)*(r + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160.99 + 164. Let u = 2.71 - m. Which is the closest to u? (a) -1\/4 (b) -1 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.5 (b) -0.3 (c) 3 (d) -0.4 (e) -0.671 (f) 36\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231657903?\nAnswer: 3, 25739767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -16*14\/28 - -12288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 675*r**4 + 29*r**3 - 11035*r**2 wrt r.\nAnswer: 16200*r + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/4 + 4*j**3\/3 + 3*j**2\/2 - 13*j - 38. Is u(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 11*o**4 + 2*o + (0*o + 2*o - 4*o)*(-2*o**3 - 20*o**3 - 5*o**3).\nAnswer: 43*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109.8 + -13.3. Let v = m - 96.5629. Round v to 3 dps.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408160570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*k*r**3 - b*k + 13*b*r**3 + 2*b*r**2 + 7*b*r - 2*b + 15*k*r**3 wrt r.\nAnswer: 6*b*k + 78*b + 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -31. Let q be 2\/4 - 3045\/o. Let b = -178 + q. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 38.23, 5, -0.047?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + (-297)\/2970. Factor 0*s - 2\/5*s**3 + 0 + v*s**5 - 2\/5*s**2 + 2\/5*s**4.\nAnswer: 2*s**2*(s - 1)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (0 + sqrt(72) + -2) - (-2 + sqrt(8))*3)**2.\nAnswer: -96*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(539) - sqrt(539)) + 3 + sqrt(539) + sqrt(539)*2 + -2)**2 - (1 + -1 + sqrt(11) - (sqrt(22)\/sqrt(2) + -4)).\nAnswer: 4847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12715007.13 milliseconds to weeks.\nAnswer: 0.021023490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2967 and 1548?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 5*d**2 + 2*d + 4. Let j be y(0). Find r, given that 6 + j*r + 2\/3*r**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352.225cm in kilometers?\nAnswer: 0.02352225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 802 divide 29005132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26125108 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*a + 1 = 175*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 5*c**2 - 39*c - 57. Let x(d) = -4*d**3 - 7*d**2 + 55*d + 86. Determine 7*v(p) + 5*x(p).\nAnswer: p**3 + 2*p + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 513*r**2 + 4170*r wrt r?\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19069 divided by -3866.\nAnswer: 19069\/3866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.282 + -0.2809. What is v rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.103 times -0.066?\nAnswer: 8.916798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 486, 700, 912, 1122?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -8) + 1 - (32 - (-86 - -88))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203482 is divided by 101701?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 75. Sort -2\/5, -9, 0.3, l in ascending order.\nAnswer: -9, l, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -1270, -3283, -6078, -9649?\n\"Answer: z**3 - 400*z**2 - 32*z + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1400131\/4 + -352778. Let y = 179303855\/792 + -7380392\/33. Let n = p + y. Find the common denominator of 101\/16 and n.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1758, -1804, -1792, -1692, -1474, -1108?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.849998597 + 11.85. What is z rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 495*c**3 + 3*c**2 + 9*c - 3. Let t be x(-3). Is 45 a factor of (t\/(-72))\/(1\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a = 45*a + 2190. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/52 and 59\/54.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 8 = -5*u. Suppose 2*o - 7872 = -2*q, -3*q - 5*o + u*o + 11806 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115.71 - -115.11. Which is the biggest value? (a) g (b) -0.4 (c) -2 (d) -5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2569, -3, 4, -4 in ascending order.\nAnswer: -4, -3, 4, 2569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 151*o + 454. Is d(18) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -194 (b) -0.2 (c) 2 (d) 130 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12164, -7698, -264, 10132, 23484?\nAnswer: 39786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206226207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccccccccccclcl. What is prob of sequence llc?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 79 + 26. Suppose 3*b + 26 = -5*h - 34, 4*h - 3*b = -a. Let t = h + 17. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -645727*t*z**2 + 628273*t*z - 2*t - z**2 wrt z?\nAnswer: -1291454*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/13 + -11\/52. What is the third smallest value in -0.3, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 + -86 + -173 - -53\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 5*m**2 + 2*m. Let n(d) = 40*d**3 + 9*d**2 + 4*d + 4. What is -2*j(u) + n(u)?\nAnswer: 44*u**3 - u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 83, 1.943 in decreasing order.\nAnswer: 83, 1.943, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45188 and -649791888.\nAnswer: -649837076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1 = 3*k, -3*k - 10 = -p - 3*p. Sort 2, 6, 5, k.\nAnswer: k, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45561, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -0.1 (b) -2\/3 (c) -3\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -597\/2 - -300. Factor -3\/2*h**3 + 3\/2*h**2 + 3\/2*h - j.\nAnswer: -3*(h - 1)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(130) - sqrt(130)) + sqrt(130))\/(6*(sqrt(10) - sqrt(160))) + -5.\nAnswer: -5 + 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 - k**3 + 4*k**2 - 4*k**5 - 5*k**4 + 7*k**4 + (-25*k + 15*k**2 + 25*k)*(1 + 4*k**3 - 1).\nAnswer: 56*k**5 + 2*k**4 - k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 6. Let g(s) = -12*s + 7 + r*s + 9*s + 2*s + 18*s**2. Is g(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 3948.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6*j - 64. Calculate the common denominator of -59\/5 and (-30)\/j*(-33)\/9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 3\/20, -5, 1?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-65)\/4 - (217 + -206).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -1\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14876599 < 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50463904 is divided by 720912?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -755776 - 0?\nAnswer: -755776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i + 7 = 0. Suppose 22*h = 3*h + 133. Is h less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from gbrvgph?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 + 447*i**3 + 81 - 8361*i + 8360*i in the form h*i**2 + c + u*i**3 + d*i and give u.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 4*s**2 - 2*s - 1. Let r be f(-1). Sort -3, 5, r in descending order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.057 and -53.\nAnswer: -52.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 - -37. Let q = 191 + g. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39465398 <= 39465398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202202 (base 4) in base 8?\nAnswer: -14242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 49*w + 22*w - 1296 = 0 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*o = -42, 6*h - 3*h = 5*o + 51. Let z(j) = -j + 0*j**2 - 12*j**2 + 2*j**3 + 16 - j**3. Let s be z(h). Solve -4*q + 8 = -2*v, s*v = -2 - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231114651121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/(m*(m*(m*(m\/m**(-2))\/m*m)\/m)\/m*m))\/((m**(-2\/19)*m)\/((m**(2\/7)\/m)\/m)) assuming m is positive.\nAnswer: m**(-1810\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -179\nAnswer: 161.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 27*i + 5249 = 0. Solve -i = 23*t - 66 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52646 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 15*f**2 + 0*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, 524, -6 in descending order.\nAnswer: 524, 3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*u - 4 + 5 - 1 = 0. Factor 0*c - 1\/3*c**2 + u - 1\/3*c**3 + 1\/3*c**4 + 1\/3*c**5.\nAnswer: c**2*(c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6400 - 63921\/10. Let u be ((-143345)\/22)\/((-80)\/64). Let s = u - 5209. Find the common denominator of s and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -360, 4, 0, 1, -58 in ascending order.\nAnswer: -360, -58, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/5*(-105)\/6. Suppose -6*k**2 - 9*k**3 - 3*k**4 + 0*k**2 + i*k - 14*k = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0350045 + 1.9733055. Let p = v - 2.01. What is p rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, x: 3, q: 3}. What is prob of sequence txxq?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 176877 = -8718. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.86 + -16.86. What is the closest to 0.5 in f, 3\/8, 5.8, -0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 5:10 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015531055 rounded to 5 dps?\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 55, 105, 171, 253, 351?\n\"Answer: 8*b**2 + 10*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137557031453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.94028 + -0.05972. Which is the nearest to r? (a) -0.2 (b) 1 (c) -32 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*14\/49*7. Suppose -3*m = 6*n - 3*n - 9, -c*m - 11 = -n. Suppose -n*q + 2*q + 3*r = -318, 3*r = -2*q + 227. List the prime factors of q.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from vvvvvhllvhv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46044 by 46044.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/199139 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 13) to base 5.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27.4? (a) 2 (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3217, 3210, 3203, 3196, 3189?\n\"Answer: -7*d + 3224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 724 = 5*r + j, 4*r = -0*r - 5*j + 596. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 1)*12\/9. Let i = 17 + -17. Let v be ((-2)\/(1 - i))\/a. What is the second smallest value in v, 0, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 0.07, 12, -2\/17, 1\/4 in decreasing order.\nAnswer: 12, 6, 5, 1\/4, 0.07, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 120. Let f = -0.6 + 0.7. What is the biggest value in f, -0.03, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -156*l. Let q(z) = 176*z**2 + 102*z. What is c(q(p))?\nAnswer: -27456*p**2 - 15912*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:11 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63116064 greater than or equal to 63116071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40713 = -895*f - 3766 - 11976 + 30519 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, s: 2, g: 6, o: 8}. Give prob of picking 1 s and 2 g.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 354016.766141 and -11.\nAnswer: 354005.766141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202123, 404246, 606369, 808492?\nAnswer: 1010615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 4*l**2 + 8. Let x be c(2). Sort x, 3, -1, 33 in ascending order.\nAnswer: -1, x, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/9 + 10*o**3\/9 + 139*o**2\/9 + 140*o\/9 - 100 = 0.\nAnswer: -5, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835091661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13875?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2 = 2*h, 4 = -3*v - 3*h - h. Solve v = 4*j - 7 + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13152 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: Simplify (2*(-2*sqrt(224))\/(-6*sqrt(8)*1) - 3*(sqrt(567) + -1 + 5 - (1 + sqrt(567) + 0)))**2.\nAnswer: -24*sqrt(7) + 841\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*g - 21 = 89*g. Solve -9 = -2*m - g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 + -0.25. Let q = -0.3 + 0.2. Let s = q + k. What is the closest to s in 1, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1)*12\/10*(-475)\/(-1995)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30279)\/294 - (-466590)\/4530?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 554 = 2*y, 53*o - 534 = 52*o + 2*y. What is the highest common factor of 612 and o?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208 - 118. Let p be i\/(-35)*(-280)\/30. What is the greatest common factor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20619 and 534672?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1040, -1070, -1148, -1298, -1544?\n\"Answer: -4*l**3 - 2*l - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-2550)\/(-2907))\/(-50))\/(1\/(-9))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.7 - 8.5. Let y = f - -0.8. Let d = y - 9. Which is the closest to 1? (a) 4 (b) -4\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 1428372?\nAnswer: 9998604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.3. Let u = 335 + -335.237. Let c = u - 1.063. Which is bigger: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259583.\nAnswer: 259583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 + a**4 - 31*a**2 + 29*a**2 - 1 - a + 1 to i*a**3 + t*a**2 + o*a**4 + f*a + d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 7. Let w(b) = b + 1. Give -t(g) + w(g).\nAnswer: g**2 + g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21816, -43602, -65398, -87210, -109044?\n\"Answer: -w**3 + w**2 - 21782*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 222201000211?\nAnswer: -222201000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354 is divided by 85.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 - 2*1. Suppose m = 4*v - 0 - 4. Suppose -o + v = -3. Solve 0 = -o*b + 21 - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.53 - 21.9. Let y = -0.23 + j. Let v = -5 - y. Sort -2\/7, v, -5.\nAnswer: -5, v, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182933\/103803 + 2\/4943. Let q = -788 + 9407\/12. What is the common denominator of b and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399*(390\/(-126))\/65.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b + 6. Let t(z) = 2*z**2 - 5*z + 17. Let i be -10 - 0\/(-1) - -2. Let a be (i\/(-4))\/2*(3 - 0). What is a*t(v) - 8*s(v)?\nAnswer: -2*v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164.11 + -164. What is the third biggest value in 4, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 1 - (-110 - -3). Let l = 6 - 6. Suppose l = 5*f + 5*r - 110, 4*r - j = -7*f + 2*f. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**4 - 1351*i**3 + 24*i**2 + 10*i + 467957 wrt i.\nAnswer: 48*i**2 - 8106*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 2*k**2 - 2*k**2)*(-2 - 3 + 6)*(27 - 51 - 28)*(14*k - 5*k + 0 + 2) to the form j + b*k**3 + d*k + l*k**2 and give b.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 - 13*f + 4. Let m(q) = -q**3 - 6*q + 2. Let s(h) = 3*b(h) - 7*m(h). Suppose -4*y + y = 0. Let l(j) = j - 8 + 7 + y*j. What is 3*l(x) - s(x)?\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 + q + 1. Let v be h(-1). List the prime factors of 280\/4*3\/v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -787*q**5\/20 + 2485*q**3\/3 + 4346*q**2. What is the first derivative of i(m) wrt m?\nAnswer: -4722*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -50?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 695632 to the power of 1\/2, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**3*l - 1030857*i**3 - 3*i**2*l - 2*i**2 + 6908*i*l + 12976*l wrt i?\nAnswer: 66*i*l - 6185142*i - 6*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 62 + 74 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190 + 0 - -165) + (-1 - -64).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1057535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -5*n**2\/2 - 2*n + 4. What is the remainder when 36 is divided by r(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2533790665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 42. Let t be b(-6). What is the highest common divisor of t and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 3122938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 23*z - 545 = 0. Does 49 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a decade in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.9785 + -0.0215. Put c, -5, -6 in decreasing order.\nAnswer: -5, -6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 229, 260\/3, -12\/5 in decreasing order.\nAnswer: 229, 260\/3, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0, 2, 135?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 18 = -0*l - 3*l, 3*l = g + 18. Let j be -3 - (g\/4)\/3. Let c(b) = b**3 - 4*b**2 + 4. Let v be c(3). Sort -3, v, j in decreasing order.\nAnswer: j, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 200*q + 262. What are the prime factors of p(40)?\nAnswer: 2, 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420\/(-150) - (-9 + 7)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from ooiooogggigg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372525973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38398421?\nAnswer: 38398421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 3*d**2 + d + 2. Let g be i(3). Let r(f) = -f**2 + 8*f - 5. Let o be r(g). Suppose 4*b - 8 = 12. Solve -o = -b*v + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 + 3 = 0. Suppose i*w + 9 = 3*s, -2*s + 3*s + 1 = 0. Let l = 7 + w. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 99. Let g be i - 3\/(-1 - 2). Sort g, -5, -3, -1\/6 in ascending order.\nAnswer: -5, -3, g, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -163*q**3 + 48*q**2 - 6*q - 2885. Let a(f) = 327*f**3 - 88*f**2 + 11*f + 5770. Let z(g) = -6*a(g) - 11*c(g). Differentiate z(j) wrt j.\nAnswer: -507*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -51*r + 57*r + 3*r - 1. Let w(y) = -2*y. Calculate s(w(x)).\nAnswer: -18*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100001111111001000011 (base 2) in base 15?\nAnswer: -436549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*q - 2*r + 10, -2*q + 3*r = -2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 + -147. Calculate the remainder when 27 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 + -4.799724. Round c to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*u + 92 = 329*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6*p + 22 = 0. Suppose -5 + 1 = -p*s, -5*a - 4*s = -363. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewweeeledellleelll. What is prob of sequence lew?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/252 or 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-440)\/(-99)*18\/4. Solve -w + 5 = -3*w + m, 0 = -5*w + 5*m - p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57908, -61764, -65620, -69476, -73332, -77188?\n\"Answer: -3856*a - 54052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and -460526.\nAnswer: -460543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 11*j + 5. Let p be l(-7). Calculate the greatest common divisor of 165 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -692, -4\/5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*k + 0 = -3, 3*k - 9 = 0. Suppose -o*p + 7*u - 8*u = -62, 5*p + 2*u - 104 = 0. Solve 2*t - 2*h + p = 0, -2*t - 5*h + 10 + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205259208?\nAnswer: 2, 3, 7, 11, 109, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.51 - -0.49. Sort 1, b, -5\/3 in increasing order.\nAnswer: -5\/3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -62*3\/(-6). Let x be i\/(-8) + 15\/20. Let g be -1*(x + (-200)\/(-65)). Is g less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -149?\nAnswer: -148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-8)\/(-10))\/(4 - 1314\/330) and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-18) + 1\/6 - -860. Suppose -5*f - q + b = -382, 732 = 3*f - 3*q. Let c = 5 + f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-648)\/(-5) - (48\/(-10))\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - c = -107 - 1892, 1984 = 3*b + 4*c. List the prime factors of b.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420161 and 13510.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/20*41 - 57\/(-95)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -804911 (base 11) in base 9?\nAnswer: -2383153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6794 + 59491. Suppose 36*c = -9*c + m. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*h + (0*h + 3*h - 5*h)*(108 - 179 - 218))*(3*h**2 + 6*h**2 + 2*h**2).\nAnswer: 6380*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 9 - 18. Suppose n*m + 367 = 388. Solve -12 = y - m*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/5147001 and -51\/4575112.\nAnswer: 41176008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**3 - 147. Let r(o) be the second derivative of -o**3\/3 - 3*o. Give w(r(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 682861139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29630 divided by -5.\nAnswer: -5926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cicc. Give prob of picking 3 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.86 and -0.084?\nAnswer: -0.07224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37199888 and 148799552.\nAnswer: 148799552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8426053 or -8426051?\nAnswer: -8426051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**4 + 4*a**3 - a**2 + 2. Let j = -6 + 4. Let k(r) = 10*r**4 + 13*r**3 - 4*r**2 + 7. Let s(g) = j*k(g) + 7*l(g). Factor s(w).\nAnswer: w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**4\/8 - 25*w**3\/6 + 189*w**2. Give f(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 49 + -86 + (0 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82.79 - -83.56. What is n rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 203\/315*5 + (-63)\/21.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22325 times -0.34\nAnswer: 7590.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 568043265 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576615*o**2 + o**3 - 576615*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 15*v**2 + 35. Let k be p(-15). What is the remainder when (-10)\/k + (-1738)\/(-7) is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*8871.\nAnswer: -26613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203106 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -10117*p**8\/336 + 4889*p**4\/12 - 4*p**2 - 161. Find the second derivative of i(s) wrt s.\nAnswer: -202340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + -2 - sqrt(75))*6 + sqrt(75) - (2 + sqrt(75) + 0)) + (-1 + sqrt(75))*-5 + 6*sqrt(75)*2)**2.\nAnswer: -630*sqrt(3) + 3756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3 + -1)*9. Let p(l) = l**2 + 5*l - 3. Let v(h) = -h. Let k(o) = w*v(o) - p(o). Let s(z) = -z**2 - 5*z - 4. Let b be s(-5). Determine k(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b - b. Let j = -3 - -5. Sort b, 1, j.\nAnswer: 1, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*d**2 - 475*d**2 + 64*d**2.\nAnswer: -1070*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r + 3*z = -370, -r = 3*z + 88. Let s = r + 96. Solve x = -1, -s*u - 3*x = -0*u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20\/3 + 577\/42. Let g = -4 - -8. Calculate the common denominator of m and (-83)\/g + -4 + 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 - (-128 + 27 - -22).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2)\/l**(6\/11)*l**(-3)\/((l*l**(-4)*l)\/l) assuming l is positive.\nAnswer: l**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 5, f: 15}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, 553, 1776, 3621, 6082, 9153?\n\"Answer: -r**3 + 320*r**2 - 358*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 13852*j - 152383. What is f(11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**5\/20 + i**4\/2 - 7*i**3\/6 + i**2 + i. Let w be y(-7). Is (-74)\/(-8) + w\/(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 88 = 22*m + 110 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10118, 0, 0.011 in ascending order.\nAnswer: -10118, 0, 0.011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from uffuauafaafaufaa?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/9 + 98*u**2\/3 + 1290. Find l such that g(l) = 0.\nAnswer: 0, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 - h**3 + 24*h**3 - 3*h**3 + 16*h**3.\nAnswer: 43*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154935 or 154934?\nAnswer: 154934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2065 + -2068. Let m(x) = x**2 + 3*x - 1. Determine m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -69*u**2 - 3689*u + 2017. What is w(-54)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 631804, 1263542, 1895268, 2526976, 3158660, 3790314?\n\"Answer: -k**3 + 631745*k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*t - t - 5778, 3470 = 3*b + 2*t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5 - 7*r**3 - 2*r**2 + 12*r + 8 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s + 1. Let k(h) = 7*h**2 + 4*h - 16. Let f(c) = -k(c) - 4*u(c). Find q such that f(q) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3198 divide 260381160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 + 2*n**2 + 46 - 111 + 54 - 2*n**3 - 2*n**4 to m + h*n**2 + d*n**4 + l*n**3 + w*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43379, 43370, 43351, 43316, 43259, 43174?\nAnswer: 43055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:05 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24)\/(-2) - (-21 + -528).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093315 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*b + 33*b - 39*b - 4 + 4 - 2*b + (-2 - 2 + 3)*(2*b - 2 + 2) - 2*b + 1 - 1 - 1 - b + 1.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 8:24 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -99819?\nAnswer: 99819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33956 + -104?\nAnswer: 33852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -1. Calculate the remainder when 92 is divided by (-4 - w - -3) + 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959804.3ml in litres?\nAnswer: 959.8043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(0 - (2 + 0)). Suppose o + 3 = -0*o. Let s = 22.2 - 24.2. What is the closest to 1\/3 in o, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqwxwqwxqf. What is prob of sequence wxfw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, 1 i, and 1 l when four letters picked without replacement from sppstipsplpip.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190111173?\nAnswer: 3, 7, 97, 93329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + 0*z**4 + 0*z**4)*(-6 + 4 + 3 + (4 + 2 - 4)*(3 - 2 - 2)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {d: 2, y: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-2\/87)\/(x**(-1\/3))**40)\/((x\/(x\/(x*x**(-1\/4)\/x))*x)**(8\/7)*(x*x**(6\/7))\/x**(-2)) assuming x is positive.\nAnswer: x**(3497\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 4*b - b**2 + 0*b**2 + b**3. Let k be z(3). Let p = k + -6. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/80)\/(3\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 6:31 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26630 times 4\nAnswer: 106520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 50 = k, -1 = -3*k - 7. Let q be (-24)\/9*u\/(-10). Let t = -71\/15 + q. Which is the closest to 1? (a) t (b) 1\/7 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45\/2*f**4 + 1049760*f + 1\/8*f**5 + 1620*f**3 - 58320*f**2 - 7558272 = 0. What is f?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3690 and 5447916.\nAnswer: 27239580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1920216 or 1920171?\nAnswer: 1920171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose l*j = -q - 4, 4 = 3*j - 2*q - 4. Differentiate 1 + j - b - 3 wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1720)\/1290*(-5)\/(-10))\/((-2)\/234).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02 and 19.641.\nAnswer: 19.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -818 + -1?\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10788 and 54839?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*d**2*y**3 + 1078*d**2*y**2 - 2*d*y**2 - 6*y**6 - y**4 wrt y?\nAnswer: -138*d**2 - 720*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*v + 8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/164 and 2 + -4 + 935\/120?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -10, 5*d - 6*d + 5*f = 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 + 540 = 5*u. Let m(g) = -g + 700*g**2 - 701*g**2 - u + 3. Let f(y) = -6*y**2 - 3*y - 4. Calculate f(t) - 5*m(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:35 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 103 = z, 2*u - 29 = 5*z + 31. Suppose 0 = 4*g + g - u. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2353 = 5*z, 4*h - 3140 = 4*z - 0*z. Suppose 3*s - 150 - h = 0. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 9:29 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -324, -635, -950, -1275, -1616, -1979, -2370?\n\"Answer: -x**3 + 4*x**2 - 316*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23734825 divided by -8005?\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = -3*c, 5*v - 6*c + 5*c - 21 = 0. Let k be v - 0 - (-1 + -3). Suppose -k*t + 132 = -2*t. Solve m - 3*p - t = 2*p, -2*m + 19 = -5*p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, -0.03, 2\/9, -2\/5, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3. Let k(j) be the third derivative of -j**6\/120 + j**5\/60 - 5*j**2. Let f(y) = k(y) + 5*o(y). Find the third derivative of f(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*-2*(-3)\/(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-3))\/4)\/((-13)\/(-3)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-1)\/(-1)*30. Suppose -5*y = -y + 5*v - 6, 5*v = 5*y - u. Suppose 4*r - 32 = -y*t - 0*r, -r = -4*t + 52. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -128. Suppose 4*m - u*p = 1674, 2*p + 415 = m + 3*p. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*j**2 + 21*j**2 - 2*j + 2*j.\nAnswer: 123*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211110 - -2?\nAnswer: 211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93 - (18 - (33 - 82))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 156*h**2 - 10 wrt h?\nAnswer: 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*n + 19*n + 25*n)*(2*n + 2*n - n) + (5*n - 2*n - 4*n)*(n + 2 - 2) - n**2 + n**2 - 3*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67577, 67577, 67575, 67571, 67565, 67557?\nAnswer: 67547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18354*x**4 + 170*x**3 - 4040747 wrt x?\nAnswer: 73416*x**3 + 510*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5447.\nAnswer: 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4 - 19. Let l be -3 + (-1 - (4 - 10)). Sort 0.4, o, l.\nAnswer: o, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k**2 - 1244*k + 622*k + 622*k.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {w: 2, i: 1, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1275667, 2551333, 3826999, 5102665?\n\"Answer: 1275666*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-271475637\nAnswer: -81442691.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 4*v**2 + 6*v**2 - 21*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0, 3, 109, -131?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 8. Is g(-13) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617 is divided by 2584.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 6 = -14*v. Let l(o) be the second derivative of -o**5\/20 - 2*o**3\/3 - 3*o**2\/2 + o. What is the remainder when 37 is divided by l(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169 and 1781.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4292.87ml to litres.\nAnswer: 4.29287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10628 = -3*f, 4*u + 2221 = -f + 5757. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64174952*p*r*z - 3*p*z + 19392*p - 10*z - 3 wrt r?\nAnswer: -64174952*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267f (base 16) in base 6?\nAnswer: 11122355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2720)\/2176*(-7)\/(15330\/(-12))\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-4))\/9*(-48)\/168\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1068, -3039, -6316, -10893, -16764, -23923, -32364?\n\"Answer: k**3 - 659*k**2 - k - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -29)*7\/14. Which is smaller: j or -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2256*c + 10440*c - 3126*c + 15932*c.\nAnswer: 20990*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 + 4*j - 1. Let z be w(-1). Which is smaller: z or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 643359, 2573454, 5790283, 10293846, 16084143?\nAnswer: 23161174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3025299 to the power of 1\/2, to the nearest integer?\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -658, 4549, 13220, 25361, 40978, 60077?\n\"Answer: p**3 + 1726*p**2 + 22*p - 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*w + j + 4*j, 48 = 3*w + 2*j. Let q(k) = -k**3 + 16*k**2 + 9*k - 12. What is the units digit of q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**9*d)*d*d**(7\/3)*(d\/(d\/(((d\/((d*d*d*d*(d\/d**(-14)*d*d)\/d)\/d))\/d)\/d)))\/(d\/(d*d**2\/d)) assuming d is positive.\nAnswer: d**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*c + 28, 4 = -c + 276*u - 271*u. Which is smaller: c or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:26 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.7 - 53. Let m = -3.7 + y. What is the third biggest value in m, 1, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 3:00 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2 - 4205*j - 68763 wrt j.\nAnswer: 2*j - 4205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -4*o + 17. Suppose 4*y = -4*z + 4, 132 = -y + 3*z + 153. What are the prime factors of y\/(-4) - o\/(-4) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**3*t + 18*d**2*t**3 - 2*d**2*t + 2*d**2 + 2697*d*t**3 + d*t wrt d.\nAnswer: -30*d*t + 36*t**3 - 4*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u = -56*u + 7*m - 130, 5*u + 2*m = -227. Let b(r) = -41*r - 1. Let h be b(1). Calculate the common denominator of h\/(-8)*(-66)\/(-7) and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)\/sqrt(200))\/((sqrt(2) + sqrt(72) + sqrt(2))*6).\nAnswer: sqrt(19)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-8*25\/(-20). Let h(p) = -8*p + 27*p + 27*p + a*p. Let t(x) = 5*x. Calculate h(t(z)).\nAnswer: 330*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21554 - 21558. Which is the second biggest value? (a) 3 (b) -3 (c) 0.1 (d) i (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185640 and 1224?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 31900*n + 31647*n - 69985*n as v + y*n and give y.\nAnswer: -6438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18134, -72541, -163220, -290171, -453394, -652889, -888656?\nAnswer: -1160695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -223, -357, -497, -643, -795, -953?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/178)\/((-42)\/(-28)). Is -1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 195*z - 208*z. Sort z, -1, -14, 4.\nAnswer: -14, z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h)\/(h**25*h))**(-29) assuming h is positive.\nAnswer: h**667","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + (-2 - 1 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*a + 10*l = -597*a + 465, -2*l = -5*a - 115 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3723521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5225 divided by -5\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19848449 is divided by 126?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4)**(-15)*(c**0\/c)\/((c\/c**(-1\/4)*c)\/c) assuming c is positive.\nAnswer: c**(-249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 * -113.\nAnswer: 7684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -181678 (base 9) to base 2\nAnswer: -11011100010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000350966935 to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 1532105*u + 10724980.\nAnswer: -5*(u - 306428)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 248483 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - 4) - (3 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638568 divided by -409642?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p)**(-18)*(p**(2\/9))**(-1\/3) assuming p is positive.\nAnswer: p**(-164\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 + -2 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -g + 5*g - 4*a, 4*a - 23 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81090980 and 1640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**5 - 1815940*k**4 - 2*k**3 + 174157273*k?\nAnswer: 60*k**3 - 21791280*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h - 79. Let a(w) = 2*w + 20. Determine 9*a(k) + 2*r(k).\nAnswer: 2*k + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7412168 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - a = 163, x + a = -0*x + 35. Suppose -5*v + x = 4*t, -t - 6 = t. List the prime factors of (-8)\/(-12)*(v + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.128 + -94.128. Let o = n + 94.1. Let z = -5.05 - -0.05. Which is the closest to o? (a) 5 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244 + -165. Let j = -43 + f. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-12)*312\/260.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 0, 2*m + 3*l - 20 = -l. Suppose 2 = m*c - 46. Let f = c + -1. Solve 5*n = -4*i - f, 2*i - 2 = -2*n - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 1 + 0)*1. Does 10 divide 1\/g - (-158)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4340 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -36*f**2 - 99455*f\/3 + 3991 = 0.\nAnswer: -921, 13\/108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 3*i + 5. Let l(h) = -2*h**3 + h**2 + 5*h + 5. Let k be l(0). Calculate t(k).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from uooyjoojjojjoccjoo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*q - 65 = 0, -3*l - 273*q + 142*q = -128*q - 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.37 rounded to one dp?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5253a (base 11) to base 15\nAnswer: -17a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/9, -0.2, 0.25, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 451*g - 1999. List the prime factors of j(20).\nAnswer: 7, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.874678s?\nAnswer: 0.0479113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1626 + 1626 - 1688*d**3 + 1742*d**3)*(-d + 3*d - 3*d) as w*d + u*d**3 + q*d**2 + x + o*d**4 and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966765 is divided by 347?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5795842523 to the nearest integer?\nAnswer: 1796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1775 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37477*q - 2*q**2 - 3*q**2 + 37477*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 112*v**2 + 7*v - 2248. Is o(77) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 257 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.1 - -13. What is the nearest to b in -1, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4468.7313 - -0.2687. Let h = k - 4469.002019. What is h rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 92. Let j be (-675)\/(-180) - (-2 + (-7)\/(-4)). Suppose 2 = j*p - w. Solve -2*h - p = -4*x, -6 = x - 3*x - 3*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17214, 21420, 25622, 29820, 34014, 38204, 42390?\nAnswer: 46572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2156.15691 to the nearest integer.\nAnswer: -2156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 - -a05?\nAnswer: a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) -3\/6143 (c) -5\/4 (d) 0.1 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 30 = -9*h. What is the remainder when 11 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by -25649.\nAnswer: 153\/25649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1628 and 1184.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*t**4*z - t**3*z**3 + 5*t**2*z**3 + 6*z**3 wrt t.\nAnswer: -408*t*z - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/40 and -75\/3736?\nAnswer: 18680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 6*o**5\/5 + 2*o**4\/5 - 16*o**3\/5 + 8*o**2\/5 = 0.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749*f - 13309 - 137649 = -91699 + 176856 for f.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125.4 + 122. Which is greater: s or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 143.\nAnswer: -5\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 - 114 - (6 - (-2 - (3 - -28 - 6))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -24. Let z = -328 - -300.4. Let i = c - z. What is the smallest value in 3\/2, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i**2 + 1 - 18*i**4 - 9 + 22*i**4 + 6 + i**3 to the form r*i**4 + t*i**2 + o + s*i + a*i**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2. Let o(t) = 76*t + 32. Let c(m) = 7*m + 3. Let k(x) = -32*c(x) + 3*o(x). Let r(a) = a. Let g(w) = 4*k(w) - 11*r(w). What is g(h(v))?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9 - 129\/(-15))*745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 4*w**2 + 3*w - 7. Suppose 4*d = 5*d - 4. Let p be l(d). Let k(u) = u + 1. Determine k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:55 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-32)*-4)\/1*0. Suppose j*z + 9 = 3*z. Solve 0 = 3*n - 12 - z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. Let b = 10 + -6. Calculate the remainder when c(-10) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, 6\/7, 47, -4, -5\/4, -78 in descending order.\nAnswer: 47, 6\/7, 1\/12, -5\/4, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 39 = 6*w - w, -25 = -o - 2*w. Suppose 0*m + 3*m - 5*i = o, 0 = 3*m - 4*i - 25. Solve -m*f + 6*f + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 508809 and -47?\nAnswer: -23914023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o + 1. Suppose 21 = 8*s - 19. Solve -s = -b + o*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - b + 1. Let i(j) = -j**3 - 3*j**2 + 4*j - 151. Let u(p) = -i(p) - 3*z(p). What are the prime factors of u(0)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.3, 145, 197\/112, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 2, -0.7, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 21 - 20 - 15*n**2)*(-34 - 7*n + 34)*(-1 + 5 + 0).\nAnswer: 420*n**3 + 336*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/30*30\/(-7360)*23?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -19*i - 1\/12*i**4 - 7\/24*i**3 + 5\/4*i**2 + 1\/80*i**5 + 0. Factor t(m).\nAnswer: (m - 5)*(m - 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 58158269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 14 = -3*p, 4*j = -5*p - 0 + 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qce. Give prob of picking 1 e and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.23526*42.\nAnswer: -639.88092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 24 = -18*o. Solve -2*h + 4 = -4*h + 3*x, -3*x - o = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*d = -8, 0 = 4*w - 2*d + 5*d - 7. Is w at least as big as -2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 101636136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*m - 20, 3*m + 71 - 48 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8 - -4)*(-57)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97c (base 14) in base 5?\nAnswer: 24444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12411?\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-4 + 1) + -1 + 0. Find the third derivative of 52*p**2 + 120*p**q + 11 - 22*p**3 + 4 - 15 wrt p.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/20 - r**4\/12 + 2*r**3\/3 + 8*r + 3. Let t = 29 - -7. Let q be (-3)\/(-4) - 135\/t. Determine a(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2769484 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, -159, -715, -1715, -3249, -5407, -8279?\nAnswer: -11955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154987140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419900.1s in nanoseconds?\nAnswer: 419900100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 423.\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 202 - 112. Let y = 2 + q. What are the prime factors of y?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/455)\/(1\/(-5))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/315)\/((-3)\/(-9))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/15)\/((-72)\/54).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/8, -7, 257, -2\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.4 (b) -26 (c) 1\/2 (d) 0.03 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 326?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-6) + 2\/(-4). Suppose z = -4*k + 10. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbvwwqbwvvb. Give prob of sequence bbqb.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 20. Let b be t(-4). Solve r - 4*r = -b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45284 times 3?\nAnswer: -135852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*m - m + 20 = 0, -m = 2. Let i = 15 + f. Is (i + 1)*382\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/12 - (-12 - 1113794\/264)?\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(396) + -1 + -5 + (sqrt(77)*-2 + sqrt(77))\/sqrt(7) + 4)**2.\nAnswer: -20*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 229\/5. Suppose 0 = -h - 2. Let r be (1\/(-17))\/((-1)\/h). What is the third smallest value in -1\/3, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6688 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0) + 2 + -2. Let v be (9\/(-12))\/(n\/(-28)). Suppose 4 = 5*x - v. Let f(j) = j**3 - 5*j**2 + 2*j - 2. Determine f(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/75*2\/17*3\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -21.69\nAnswer: -108.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + v + 26, 21 + 11 = 4*i + 2*v. Suppose -11 = -2*x + i. Let f(k) = 8*k - 3*k**2 - x*k + k. Let y(c) = c. Determine f(y(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 - 660813*o\/7 - 660810\/7.\nAnswer: -3*(o + 1)*(o + 220270)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let k = 20 - 14. Let i be u(k). Suppose t - 30 = 3*h, i*t - h - 150 = t. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/200 and -69\/20?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/3 - 50575*c**4\/3 - 2*c**3\/3 + 101150*c**2\/3 + c\/3 - 50575\/3 = 0. What is c?\nAnswer: -1, 1, 50575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1261485903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 791617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 936.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = 11*q + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**5 - g**4 + g**3 - g**2. Let a(z) = -z**5 - 9*z**4 + 9*z**3 - 5*z**2. Let s(d) = -2*a(d) + 6*n(d). Factor s(w).\nAnswer: -4*w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l**2 - 11*l**5 + 23*l**5 - 7*l**5)*(-4 - 4 + 5).\nAnswer: -15*l**5 - 39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*v**2 - 573414*v.\nAnswer: 2*v*(14*v - 286707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3082154*r**2*s - 198*r**2 + 3765*r + 1 with respect to s.\nAnswer: -3082154*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 884386436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9 - 31*r + 45*r**2 - 27 - 11*r + 6*r. Let t(j) = -j**2 + j + 1. Give g(h) + 36*t(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142938267 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 93 (c) 1665\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -957924, -1915535, -2873146, -3830757, -4788368, -5745979?\n\"Answer: -957611*z - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 63 + 189. What is the highest common factor of 28 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362544 is divided by 1664.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 7.035, -0.1, 0.1, 1.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*l**2 + 1138 + 120*l**2 + 81*l**2 - l with respect to l.\nAnswer: 258*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680335, 680343, 680351, 680359?\nAnswer: 680367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**2*j*y - 21*b**2*x*y + 3*b**2 - b*j*x - 15*b*j*y - b*x*y - j*x wrt x.\nAnswer: -21*b**2*y - b*j - b*y - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3841395.\nAnswer: 3, 5, 256093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10821*o - 21646*o + 10822*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 13. Let c be o(-11). Sort -1, 4, 5, c in decreasing order.\nAnswer: 5, 4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 19 in descending order.\nAnswer: 19, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 2, h: 3, o: 1}. What is prob of picking 1 o, 2 j, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20139 = -1842*t - 1386*t - 689*t + 121981 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/4)\/(10522\/1304728)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 1278708102.\nAnswer: 1278708102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 greater than or equal to -172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 267010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2 - 37172*q + 1116960 = 0 for q.\nAnswer: -18616, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/315 and -59\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8453 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -61*r**3 - 2*r**2 + 3*r - 1. Determine u(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 18 = -5*t. Suppose -2*v + t*u = -23, -3*v - 3*u - 1 - 2 = 0. Solve -5*n + 5*h - 6 = 4, -v*n - h = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15604102 (base 7) to base 13\nAnswer: 4101b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**0*z)**(-5)\/(z**(-7)\/z*z*z**(-1)\/z)*(z**(1\/6)*z**(2\/9))\/(z**2\/(z\/z**(-4)*z*z)) assuming z is positive.\nAnswer: z**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -5. Suppose 5*w - 4*m - 514 = 0, -2*m - 302 = -3*w + 2*m. Let u be w\/v + (-1)\/(-3). Solve -3 = -3*k - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.09 + 1.14. Let c = -1344\/11 + 122. Let p = 7 - 6.7. Sort c, p, u.\nAnswer: c, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79111.02 weeks to hours.\nAnswer: 13290651.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4524 and 129948?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n**4 + 0*n)*(-11 + 0 - 11)*(-2 + 4 - 3) + (-n**3 + 4*n - 4*n)*(-n + 3*n + n).\nAnswer: 19*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 7. Let x(n) = -n**3 + 2*n**2 - 4*n - 25. Let b be x(-8). Let t = b - 642. Let z(d) = 3*d + 6. What is t*z(l) - 4*s(l)?\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-5)\/(30\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13088 - 13080. Let a be ((-8)\/2)\/(4\/(-28)). Solve -u*t = -t - a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*x - 9 = 3, 3*l - 29 = 4*x. Suppose -9 = -2*t - l. Solve 7*u - t*u = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 36. Suppose 5*n = -3*y + o - 6, 4*n - 12 = 0. Suppose 81773 + 2627 = -y*l. Round l to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 516\/66) + (-52)\/165. Let o = 7 - -86. Let a = -653\/7 + o. Sort a, -2\/3, u in descending order.\nAnswer: u, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 7*l + 4. Suppose 115*r + 39*r = 37*r + 1872. Calculate f(r).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + p + 1. Let z(w) = w**5 - 2*w**4 + 10*w**2 + 3*w + 4. Let q(a) = -4*x(a) + z(a). Factor q(j).\nAnswer: j*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36852391 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: Let v(d) = -4*d**3 - 4*d**2 + 11*d - 4. Let t(j) = j**3 + j**2 - j. Let z(i) = -5*t(i) - v(i). What is the tens digit of z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxd when three letters picked without replacement from {o: 2, x: 1, g: 2, d: 2, n: 1, l: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 10*h - 50 = 0. Let u(j) = 3*j**2 + 4*j + 3. Let x be u(-4). Let t = -20 + x. What is the smallest common multiple of h and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-11) + 24\/11. Suppose 0 = -5*a + 2*a + 12. Find the first derivative of a - 4 + 3 + 0 + d*k**4 wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*(-4)\/(-2). What is the units digit of 8*(-5)\/(-2) + w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l**2 - 19*l**2 - 14*l**2 - 6*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, -0.01, -2\/15, -27, 0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 100\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.7 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 9 - 16 + 35 - 13 + a**3 - 2*a. Is z(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 3*f + 1. Let m(k) = k**2 + k + 1. Calculate -2*l(v) - 6*m(v).\nAnswer: -2*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 12. Let s be u(4). Suppose s = -25*l + 23*l. Put 1, 2, 9, l in decreasing order.\nAnswer: 9, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 + 2*i + 1. Let h be l(-1). Let m(s) be the third derivative of s**6\/120 - s**5\/15 - 7*s**4\/24 + s**3 + 2*s**2 + 25. What is m(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16460810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 2*d**2 - 3*d**2)*(103*d - 248 - 248 + 495) - 3 + 3*d**3 + 3.\nAnswer: -203*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let f(r) = -3*r**3 + r - 1. Let s be f(h). Let y be 0 - s*(-4)\/30. Sort -3\/5, y, -1.\nAnswer: -1, -3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37713513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 + 15 = 3*t. Suppose -t = -3*m - m. What is the remainder when m is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-3)\/((-9)\/2). Let g be (293 - 299) + (1 - -13). Solve -3*n - 3*h + 15 = -g*h, 0 = -q*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*p**3*q + 283*h*p**3 + 7*h*p**2 - 2*h*p*q + 12977*h*p + 35*p**3*q + 9*p**3 wrt p.\nAnswer: 6*h*q + 1698*h + 210*q + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001232831272 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1433220*v**2 + 3*v - 19024464 with respect to v.\nAnswer: -2866440*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qum when three letters picked without replacement from {u: 1, m: 1, q: 2, i: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, d: 2, e: 3}. Give prob of picking 1 d and 3 o.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 86917, 173840, 260765, 347692, 434621?\n\"Answer: t**2 + 86920*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i. Suppose 0 = k - 3*r + 5, 5*k - 8 + 33 = r. Let t be q(k). What is the units digit of (-79)\/(-3) - t\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.03, -0.3, 11, -2\/7, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 333435, 330759, 326301, 320061, 312039?\n\"Answer: -891*h**2 - 3*h + 334329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5143859269?\nAnswer: 17, 97, 281, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390585.\nAnswer: 3, 5, 13, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -99*v. Let w(m) = 19*m**2. What is j(w(l))?\nAnswer: -1881*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, 2\/11, 2\/8859, -29?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 4. Let z(a) = a**2 + 4*a + 3. Let p(q) = -6*j(q) + 7*z(q). Let r(t) = -t**2 - t + 1. What is -p(v) - 5*r(v)?\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38687 is divided by 9624.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/23, 2\/3, -2, -2\/16469?\nAnswer: -2\/16469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 178*y + 9787. Determine a(-55).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -4780432?\nAnswer: 1\/2390216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 107130?\nAnswer: -107125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (441\/(-63))\/84*2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 224033?\nAnswer: 224104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rqrqtqtrq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 178248479 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 46087*l + 876111. Give s(19).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, o: 2}. What is prob of sequence ooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 249 + -268 - (-2 - -6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.14 * -1148.\nAnswer: -11640.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1788 and ((-14)\/(-1260))\/(4 - 1032\/260) + 1.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-31)\/(279\/(-3)))\/(1\/1767). Calculate the highest common factor of 133 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) 0.5 (c) -11 (d) 1 (e) 0 (f) -15 (g) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173442 is divided by 5101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = r + 7. Let w = 30 + r. Calculate the remainder when 65 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -3. Let w = 2 - 1.7. Let r = 0.6 - w. Which is the second biggest value? (a) r (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 = 5*a, d - 5*d = 2*a - 8. Suppose -d*x - 19 + 73 = 0. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 1, n: 1}. What is prob of picking 1 o, 1 n, and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n + 18. Let y(s) = s. Let c be y(0). What are the prime factors of r(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 0*c**3 + 0*c**4 + c**2 + 0*c - 3\/5*c**5 - 3. Find the second derivative of v(x) wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(3\/7)*(u**(-1\/4))**22 assuming u is positive.\nAnswer: u**(-79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(6*12\/(-72)) + 84\/7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27820035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60333004*g - 78400554?\nAnswer: 60333004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.2642049 to 3 decimal places.\nAnswer: 44.264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517720085.\nAnswer: 5, 197, 2556061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 180768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(1 + sqrt(300)) + sqrt(300) + 2 + -2)**2.\nAnswer: -60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 23, 0, 345 in decreasing order.\nAnswer: 345, 23, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44759*d**2 + 23412*d**3 + 22376*d**2 + 22383*d**2.\nAnswer: 23412*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**3 - u - 1. Let d(v) = -17*v**3 - 86*v**2 - 1731*v - 10142. Let a(c) = -2*d(c) + 4*m(c). Solve a(i) = 0.\nAnswer: -60, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 15110?\nAnswer: 105770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:44 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/4)\/(-5*(-65)\/(-25)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1426 and 70886.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918451634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 420*s**2 + s. Let i(l) = -1258*l**2 - 3*l. Calculate -4*i(t) - 11*w(t).\nAnswer: 412*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*r - 185*r + 4911 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8*d - 6 + (3*d + 2*d - 3*d)*(1 - 5 + 3) + 0*d - 4*d + 5*d + 2*d - 3*d + 0*d - d + 0*d + 0*d)*(-d - 4*d + 3*d).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 w when three letters picked without replacement from wwqwggwwg?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001328428856 to 6 dps.\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -16. Suppose 2*o + 0*o = 10. Solve -o*f - u = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4236, -16868, -37956, -67530, -105620?\nAnswer: -152256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.53 * -528\nAnswer: -807.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + -3 + 7 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 17) + 17 - (17 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2 - t. Let q be (-5)\/(-10) - 1\/(-2). Let g be f(q). Sort 0, g, -4.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2217526 times 0.3?\nAnswer: -665257.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62553468.\nAnswer: 2, 3, 23, 226643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**2 + 6*r. Let a(v) = -15*v**2 - 13*v. Let u = 7 - -6. Determine u*q(n) + 6*a(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-6))\/(2 - (-205)\/(-105)). Let u = o - -351. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2154 (base 6) to base 11\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 835441 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 36*a**2 - 403*a - 10. Does 7 divide s(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -0.1. Let r = -0.07 - -0.12. Let u = 0.05 + r. What is the third biggest value in u, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 + 6*p - 142 - p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/7))\/(i\/i**(1\/21)))**(-21\/4)\/(((i*i*i**(-2\/9)*i)\/i*i)\/i**8*i**(1\/6)*i*i*i*i*i*(i**2*i)\/i*i) assuming i is positive.\nAnswer: i**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030578.\nAnswer: 2, 3, 171763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114497552 and 13211256.\nAnswer: 343492656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -16179.9.\nAnswer: -16180.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 8}. What is prob of sequence wssw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from aaaamaaamamaaaa?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -414. Let a = -317 - y. What is the second smallest value in 0, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 + 541\/3. Determine u, given that -8\/3*u**2 + 2\/3 + 4\/3*u**5 + 2*u**4 + 0*u - r*u**3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85\/12 - 3509\/492. Which is smaller: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22, 14, 6?\n\"Answer: -8*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**2 + 2*a - 6. Suppose -4*o - 12 = -4*w, 2*o - 4 = -2*w + 2. What is the units digit of h(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4360036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**7\/175 - z**6\/100 - z**5\/25 - 7*z**2 + z. Find w such that o(w) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 k when four letters picked without replacement from szukseszzkukzksu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*t + 89*t + 10200 = 0 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -717, -1410, -2103, -2796?\nAnswer: -3489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86377 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*r + y - 21, 2*r + 5*y - 9 = 0. Which is the second biggest value? (a) r (b) 4\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -72864808 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.283762 - -1798.705262. Let r = -1798 + z. Let x = 0.42 - r. Round x to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(0*r + 4*r + 3*r) + 2*r - 2*r + 2*r + 3*r + 0*r - 2*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (139 - 144) + 76 + 1 - -8?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 1, f: 1, i: 1, h: 2, s: 1}. What is prob of sequence fohs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 2 b when four letters picked without replacement from {t: 3, b: 2, n: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 18. Suppose -m*u + 22 = 3*t, 2*u - 8 = -2*u. Let p(l) = l**3 - 9*l**2 + 12*l - 29. Let v be p(8). Solve 4*n - v*i = i + t, 2*n = -4*i + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/(1\/(-2)). Suppose 0 = u - 0*u - 4*j - l, -4*j = -4*u. What is the units digit of (u - (3 - -12))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 100?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001908543 to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4597*c**3 + 2117 wrt c.\nAnswer: 13791*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 + s + 3. Let d be r(0). Solve i = p - 0 - 7, 9 = d*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 6*k + 3*k)*(-4*k - 2*k + 3*k) - 1 + 1 - 2*k**2 - k**2 + k**2 + k**2 + (3*k**2 - 2 + 2)*(0 + 0 + 2) - k**2 + 17*k**2 + k**2.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = t + 211, 0 = 4*t - 3*t - 3*y + 235. Is 30 a factor of (-9)\/(-3) - t\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 16*x**2 + 3*x + 46. Determine n(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 1, p: 1, o: 2, a: 1, t: 1}. What is prob of sequence op?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -24.3. Let h = 0.3 - x. Let v = 14 + -13.93. Sort -0.3, v, h in ascending order.\nAnswer: -0.3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from {p: 1, q: 2, z: 4, d: 2, w: 1, n: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 154\/20 + (-1 - (16 + -9))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 - 25*i**5 - 38*i**2 + 3.\nAnswer: -120*i**3 - 1500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 499541956 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/12 + 1403\/(-460)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*a + 107*a - 34*a)*(-2*a**4 + 1 - 1 + (3*a + 2*a - 3*a)*(-a**3 - 2*a**3 + 2*a**3)).\nAnswer: -100*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532223.\nAnswer: 79, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s**0)\/(s**(-4\/7)*s**(1\/6)))\/((s\/(s**8*s*s))\/(s*s*s*s\/(s*s**8)))**(3\/7) assuming s is positive.\nAnswer: s**(215\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184 - -178) + 9 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 31025282980 to the nearest one million.\nAnswer: 31025000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 32*b**2 + b - 1. Let d be y(-1). Suppose -3*n + n + d = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1) + (-9)\/(-24)*2. What is the biggest value in -81\/5, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143794889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2928 + -2?\nAnswer: 2926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -256, 1\/8, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -9. Let o(y) = -y**2 + 10*y - 10. Let i be o(9). What is the second smallest value in t, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 5*w + 2 + 7*w + (4 + 1 - 4)*(-2 + w + 2))*(2 + w**2 - 2).\nAnswer: 9*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120231748.\nAnswer: 2, 7, 13, 137, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 5*i - 208 + 196, 108 = 40*g + 4*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:12 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215*k**5 - 193*k**2.\nAnswer: -12900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-40)\/12 - (-24)\/9. Suppose -2*y = 3*y - 25. Solve x - 14 = -n*p, -y*x + p = 2*p - 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53598*x**3 + x**2 + 3*x - 9.\nAnswer: -321588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11\/4)\/k**(-8)*k*k\/k**(18\/11)*k*k*k**(-1\/3)*k assuming k is positive.\nAnswer: k**(1093\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**3*i*i**(-6)*i**0*i**1\/i*((i*i**(7\/2))\/i*i*i*i*(i**(-7)\/i)\/i)**(-2\/3) assuming i is positive.\nAnswer: i**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.357 + 1.757. What is the closest to -3\/5 in t, 0.1, -20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 2*c**7\/525 + 4*c**6\/75 + 2*c**5\/25 - 4*c**4\/15 - 14*c**3\/15 - 9*c**2 + 22. Factor i(h).\nAnswer: 4*(h - 1)*(h + 1)**2*(h + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 19*r + 21*r = -480, 6*u - 728 = 5*r - 5*r - r for u.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(126\/24))\/((-30)\/21).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2210*j + 2207*j - 6623*j + 2207*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 24. Let r be t(22). What is the closest to r in 2, 3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*x - 8, 0 = 4*x + 34*s - 29*s + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718447 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y + 75*y - 83 - 37*y + 83.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14.148 (b) 44 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 2*t**2 + t - 2. Let f(l) = -l**3 + l - 1. Determine -f(i) + y(i).\nAnswer: 2*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 3, m: 1, s: 2, i: 7}. Give prob of picking 2 y and 1 q.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 1, -9, -4, 4 in descending order.\nAnswer: 4, 1, -4, -9, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 + 9*p - 80. Let g(l) = l**2 + 2*l - 20. Let k(u) = -9*g(u) + 2*h(u). Calculate the remainder when 59 is divided by k(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.148178 years in months?\nAnswer: 61.778136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-438)\/(-1)*(-5)\/(-15). Let u = n + -57. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 0.705.\nAnswer: 0.06345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 38086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 977400.9mg?\nAnswer: 977.4009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 1. Is k less than 1\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuc when three letters picked without replacement from {c: 2, x: 4, u: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 24 = -4*t, 5*t - 10 - 11 = 2*q. Suppose t*b = -3*k + 10, -4*k + 3*b + 2*b + 60 = 0. Solve p + 4*p + k = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:23 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 85. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f**2 - 4*f - 4. Determine o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, i: 7}. Give prob of picking 2 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 28*i**2 - 1373*i + 15333. Calculate k(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -589, -4923, -16681, -39571, -77301, -133579, -212113?\nAnswer: -316611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.625136 rounded to 1 decimal place?\nAnswer: 383.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 177866593 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/31084 and -17\/5716184.\nAnswer: 108607496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -23. Suppose 7 = 2*f - a. Solve -3*y - 13 = -f*m, -4*y - 4 = -m - m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, 0, 1 in decreasing order.\nAnswer: 1, 0, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 17484360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -b - 3*h, -4*b + 10*h = 9*h + 988. Put 4, -7, b in decreasing order.\nAnswer: 4, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 2. Let g be f(2). Suppose a = 8 - g. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 2*l - 2*l)*(3 - 3 + l) - 194*l**2 + 78*l**2 + 3393 - 3397 in the form a + m*l + f*l**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 183343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6)*3\/(-2). Let z = 30.1 - 33. Let p = z - -1.9. What is the closest to 1\/3 in s, p, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3891 + 3594 - 8037)*(-3 + q + 3).\nAnswer: -552*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h - 2*b + 9, 3*b = 2*h + 10. Suppose -3*c + 7 = 1. Let g = c - -6. Calculate the least common multiple of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60129450 divided by -60129450.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11251567 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*t + 7 = 64*t, -b - 4*t - 19 = 0. Let p be (6\/4)\/(2\/48). Calculate the greatest common divisor of b and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:51 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 1:54 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9\/10, 0.13, 306?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 277? (a) -2\/27 (b) 1\/9 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 33\/7?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**4 + 16317187*p**3 - 245388296*p**2 wrt p.\nAnswer: 24*p + 97903122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 10 = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461264.5ml to litres.\nAnswer: 461.2645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 55.9\nAnswer: 1062.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 0.1269, 4?\nAnswer: 0.1269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.3516 months in years?\nAnswer: 14.5293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-325 - 320 + 3825*t + 645) as k + b*t and give b.\nAnswer: -7650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*z - 24*z + 781 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-1386) - 22\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**3\/6 + 21*x**2. Let a(v) = 0*v - v + 3*v + 10. Determine -a(b) + 12*n(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 230 = 5*y, 4*v + 0*y + 208 = 2*y. Let k = -49 - v. Calculate the greatest common divisor of 11 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 127*i**2\/3 - 4543*i\/3 - 10443.\nAnswer: -(i + 9)*(i + 59)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -41, 505, 0.\nAnswer: -41, 0, 1, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 4 - 3 - -27. Suppose 0 = -5*o - 4*t + 159, 179 = 5*o - 3*t + 2*t. Let c = o - w. Calculate the highest common factor of 70 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -256, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r**3 - 5*r**3 + 20*r**2 - 124*r**2 + 4 to the form n*r**2 + p*r**3 + z + u*r and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66626?\nAnswer: 2, 7, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4116826.\nAnswer: 2, 7, 294059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 163*t**3 + 4*t**2 + 4*t - 4. Let b(l) = -325*l**3 - 9*l**2 - 9*l + 9. Give -4*b(f) - 9*h(f).\nAnswer: -167*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28203 and 2088681.\nAnswer: 35507577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-405)\/10)\/9 - (-25)\/((-700)\/(-112)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Suppose 0 = a*c - 6 - 0. Solve 0 = -j + c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3.8. Let n = c - 9.1. Round n to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g + 122*g + 287*g.\nAnswer: 442*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27547080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:28 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 21 + 0)*(2 + 2 - 2)*(0 + 0 - y**4).\nAnswer: 94*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-2)\/(-4))*2. Suppose 3*o + 82793 = c, 5*o + 5*c + 137955 = -0*c. Let p be o\/(-12) - (-1)\/t. What is p rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 2. Let i be k(-3). Let a be (-3)\/2 + i + -2. Solve 0 + t - a*t**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -3, 70, 2.\nAnswer: -3, 2, 4, 11, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a - 44*a + 71*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 + -3*2\/6. What are the prime factors of s - -3*2\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2415.325900618?\nAnswer: -2413.325900618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -538, -531, -514, -481, -426, -343, -226?\n\"Answer: l**3 - l**2 + 3*l - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245 (base 7) to base 14.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 4*x**2 - 4*x. Let a be f(3). Let y be (2 - 1)\/(-3)*a. Solve y = i - u, -2*i + 22 = -5*i - 2*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e9e (base 15) in base 2?\nAnswer: 1101000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33b641 (base 12) to base 7.\nAnswer: 10020550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 29*c**2 + 3*c + 3 + 30*c**2 + 6 + 8*c**2 - 68*c**2. Determine b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.7 - 5377?\nAnswer: -5497.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 19*i + 24. Let k(n) = -96 - 6*n + 44 + 44. Let u(w) = -2*g(w) - 7*k(w). Let h be u(-2). Solve h = -2*d - 0*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172*f**3*o**3 - 708*f**3*o**2 - 286*f**3 + 14823362*f**2*o**3 - 2*f*o**3 wrt f.\nAnswer: -1032*o**3 - 4248*o**2 - 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 77 + 64. Suppose -5*i - 17 = -2*g - w, 4*i - 3*g = 31. Suppose -3 - i = -c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52\/5 of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28994*s**3 + 12893*s**3 - 8204*s**3.\nAnswer: 33683*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -c80 (base 13) to base 4\nAnswer: -201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*-1*(-10)\/15. Suppose -y = t*v - 56, -3*v + 4*y + 0 + 42 = 0. Is ((-7)\/v)\/((-3)\/318) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**5 - 9413292*u**4 - 37653124*u**3 - 47066388*u**2 - 18826552*u = 0.\nAnswer: -2353319, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - ((-2 - -9 - 8) + 4)) + 23\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Determine f so that -33*f**5 - f**3 - 2*f**2 + 32*f**5 - g*f**4 - 4*f**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3 + sqrt(1100) + -2)**2 - (2*sqrt(44)\/sqrt(4) + sqrt(99) + 4)) + -1.\nAnswer: 95*sqrt(11) + 1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 19905b1?\nAnswer: -19905a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9)*(-156)\/52)\/(2\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-7 - -9) + -1 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/5))\/(h*h**(-2\/21)*h*h))**(11\/8) assuming h is positive.\nAnswer: h**(-2431\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103726525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19484 + -19488. Put -122, 4, 3, s, -2 in decreasing order.\nAnswer: 4, 3, -2, s, -122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1932 = 151*r - 145*r. What is the smallest common multiple of 12 and r?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 65.5. Which is the fourth biggest value? (a) 2 (b) -4 (c) z (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.823 - 27.267. What is k rounded to 1 decimal place?\nAnswer: -29.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 20. What is the lowest common multiple of t and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2170316 at least -2170318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1530)\/(-1632)*(-48)\/(-20).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**3 + 6*k - 2*k - 6 - 3 + 8 as i*k**3 + c + o*k**2 + z*k and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**3*v**3 + 10*k**3*v**2 + k**2*v + 3*k*v**3 - k*v**2 + 12*k wrt k.\nAnswer: 30*k*v**3 + 60*k*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -3459, -11691, -27737, -54207, -93711, -148859?\nAnswer: -222261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -52 + (79 - 39).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 - 8. Suppose 0*f = f - b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 8. Let o be a(6). Suppose 20 = -2*f - o. What is the tens digit of (-394)\/(-26) + 4\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 14*a + 14. Let p be q(-1). Let b(g) = -3*g**2 - 11*g**p - 2*g**2 + 14*g**2 - 10*g**2. Let k(f) = -23*f. What is k(b(m))?\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 10122, 3, -4, -1 in ascending order.\nAnswer: -25, -4, -1, 3, 10122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Let x be -8 - -8 - (0 - 2\/(-8)). What is the closest to -1 in r, x, 0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 524588 and 372?\nAnswer: 48786684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3730 + 2476 = -19*t. Let v = 129 + -192. Let y = v + t. Solve -5*u - 7 - 3 = y*m, -5*u - 5 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(-5 + sqrt(605) + 0))**2.\nAnswer: -63360*sqrt(5) + 362880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 0)*(4 + 0 - 2) - 3 + 3 + 2 + (-1 + 0 - 1)*(-6 + 4 + 1) - 41 + 196 - 344)*(4*n - n - n).\nAnswer: -374*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136745023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -729*((-28)\/(-20))\/7. Let i = -147 - u. Sort 0, -2, i in descending order.\nAnswer: 0, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/41? (a) -1\/2 (b) 7 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(2\/(-1)). Let i = -0.09 + -0.91. Let v = 1 + i. Which is the closest to 0.1? (a) v (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-5)\/(-3)) - -20. Suppose -q = -4*z - 4*n - 1, -2*z - 5*n + 17 = 0. Solve 2 - z = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - 2) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 1559 = -2*g. Suppose -g = -z - 2*z. What is z rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592539707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:40 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57475.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.4 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1378*u + 1451*u - 5767 = 0. Let l(x) = -157*x**3 - 2*x**2 + 1. What is the remainder when l(-1) is divided by u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7056 + 7039. Put 1\/2, z, 0.1, 0, 0.09 in increasing order.\nAnswer: z, 0, 0.09, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2226, -1, -109, -5, 2, 0 in decreasing order.\nAnswer: 2226, 2, 0, -1, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n + 9 + 19*n + 11*n + n**2. Let c be u(-15). Determine y, given that 5*y**5 + 7*y**5 - 11*y**5 + 2*y**5 - 6*y**2 - c*y**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202177531 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2023 - 2033. Put -0.1, b, 5, -0.04 in descending order.\nAnswer: 5, -0.04, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208 + 164. Is 62 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*r - 128, -29*r - 5*c = -34*r + 205. Solve -382 + 177 - 171*g**3 - 3*g**5 - 468*g + 0*g**4 - 402*g**2 - r*g**4 - 11 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*(z\/(z\/(z*z\/z**(-6\/7))))\/z*z)\/z**(-11))**(3\/11))**50 assuming z is positive.\nAnswer: z**(16650\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29\/6, 5, 0, 1\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -46. Suppose -f*u - 3*t + 21 = 0, 3*t = -4*u - 0*t + 30. Suppose -4*l + 21 - u = 0. Solve l*r = r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.710041 centuries?\nAnswer: 571.0041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -73\/4 (c) -2\/11 (d) 0 (e) -6589\/5 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11223 (base 5) to base 15\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**6\/d*d*d*d)\/((d\/(d*d\/d**(-1\/4))*d*d)\/d))\/((d*d**4)\/d**4))**(4\/7) assuming d is positive.\nAnswer: d**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.903 rounded to one dp?\nAnswer: -98.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 151780330 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g + 0)*(6 + 4 - 2)*(-1 - 4*g - 8*g + 0).\nAnswer: 192*g**2 + 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*v + 44223, -v - 5*z = -3*z + 14732. Let j = -10499 - v. Is 5\/(-20) - j\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65)*-3 - sqrt(65)) + sqrt(65) + 6*(sqrt(65) - 3*sqrt(65) - sqrt(65)))\/(sqrt(30)\/(sqrt(6)*-2) + sqrt(120)\/sqrt(6)).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**4 + 13*j**3 - 2*j**2 - 13*j. Let c(g) = g**4 + 6*g**3 - g**2 - 6*g. Let k(l) = -4*a(l) + 9*c(l). Factor k(h).\nAnswer: h*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-58)\/7 + 6\/21. Let q be 11\/(-44)*z\/6. Which is the biggest value? (a) q (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 4*s + 2*q + 12, 0 = 4*q. Solve 2*b + 6 = 2*c + 3*b, 5*c = -s*b + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2356895, -4713800, -7070701, -9427598, -11784491, -14141380?\n\"Answer: 2*p**2 - 2356911*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1524 by 254.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/324 - 20\/81. What is the nearest to m in 2, -9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14959322821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a - 5 + a)*(-7*a + 0*a + 41*a**2 - 39*a**2).\nAnswer: -4*a**3 + 4*a**2 + 35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2. Let d be (-8 - -13)*(-8)\/(-5). Let s(u) = -d + 4*u - u + 8. Determine s(k(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.5377 millennia in centuries?\nAnswer: 345.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/3 + 211340*h. Let c(z) = -4*z - z + 4*z. Give o(c(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.158 - 5.183. Let h = s - -0.025. Which is the smallest value? (a) 2\/5 (b) 2\/15 (c) h (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - -5) - (3 + -9 - 15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/72)\/((-27765)\/1215 - -23).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798695507 - 3?\nAnswer: 798695504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244511 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from qwqwoooooowwqowqyq?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 9*a + 2. Let c be v(-8). Let s(u) = -u - u - 3*u - 5. Calculate the remainder when s(c) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3188726.1 hours in weeks?\nAnswer: 18980.5125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 19*w**3 + 2*w**2 - w. What are the prime factors of u(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.94 + -1. Let v = k + -0.44. Let t = 149\/7 - 21. What is the third biggest value in t, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58\/73 + 3757\/4453. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*o + 0*o - 54 = 0, 4*c = -2*o + 78. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b - 5*b**3 + b**2 - 2*b**2 + 3*b**3. Let a(j) be the third derivative of j**6\/60 + j**5\/30 - 7*j**4\/24 + 670*j**2. What is 4*a(c) + 5*d(c)?\nAnswer: -2*c**3 + 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*o = -105*o + t + 2096, 2*o + 1403 = 5*t. Let q = o + 745. What is the highest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from tgpwwgwlw?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -98 and 8465.\nAnswer: -829570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -2807076\nAnswer: 561415.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22272593 by 3181799.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d + 30*d + 72*d)*(27*d + 20 + 17 - 92*d - 37).\nAnswer: -5720*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-120)*((-5049)\/90)\/17\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4605 = 3*b, -2*b = 7*j - 6*j - 1530. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d + u = 25, 2*d - 62 = -5*u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -5*l - 3*p + 11, -p = 4. Let g be l\/2 - (0 + -3). Let m = 39\/11 - 37\/11. Which is the third smallest value? (a) m (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 4*f**2 + 4*f**2 - 4*f**3 - 2*f**3 - 3*f**3 - 4*f**3 + 5*f**3 - 3*f**3 + (0*f**2 + 3*f**2 - 2*f**2)*(3*f - 4*f + 2*f).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19) + (sqrt(19) - (4 + sqrt(228)\/sqrt(12))).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -3 (c) 0.027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 1)*(2 - 11*z - 44*z - 1) to the form m*z + k and give m.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495603090?\nAnswer: 2, 3, 5, 359, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (78650 + (5 - 12))*(2 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 7. Give h(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -26.6\nAnswer: -10.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4))\/d*d**8)**(7\/12)*(d**(-4)*d*d*d**(-3\/7))**15 assuming d is positive.\nAnswer: d**(-716\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g - 4*i = -30*g - 29, 2*g + 3*i = 20 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 388, 414, 460, 532?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - q**2 + 7*q + 26. Calculate y(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 24*m**2 + 25*m - 42. Let r be p(25). Let z be (15*(101 - 1))\/(r\/35364). Round z to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -731*g**3 + 75159*g - 22875625.\nAnswer: -2193*g**2 + 75159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -1 - (-1 - -4). Let h(s) = -3*s + 2 + 6 - 3 - 3. What is the units digit of h(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 + -18.74. Let l = 19.00000065 + u. Round l to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -659 + 659.04. Which is bigger: -13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4) + -7 - (-8 - (1 - 3)) - -18\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79165 is divided by 3764.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -9*t + 9, 10*m = 7*m + 4*t - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250 + 255. Which is the fourth biggest value? (a) -1\/4 (b) -4 (c) -0.57 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 - 5. Let c(m) = -36*m**2 - 26. Let o(p) = -p**3 + 5*p**2 - 3*p - 1. Let j be o(4). Let x(d) = j*c(d) - 16*b(d). Is x(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2554089 to the power of 1\/2, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81807*q + 47300 = 79915*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 32 + -42 - (84 - (3 - 7 - -2)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -86*z**2 - z. Let c(p) = 198 - 2*p**2 + 4*p**2 - 198. Calculate c(l(m)).\nAnswer: 14792*m**4 + 344*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a - 24. Let h be (75\/(-6))\/(-1 - 2\/(-4)). Let f = h - 29. Is 16 a factor of w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 4*v - 2*v**4 + (-6 + 6 - 4*v**3)*(-v - 2 + 2) + 2*v**4 - 4*v**4 + 4*v**4 + 1 + v**4 - 1 + 0*v**4 + 9*v**4 + 0*v**4.\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*o + 1162 = 0, 24*o - 20*o = u - 250. Let j = 465 - u. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264978b (base 13) in base 9?\nAnswer: 24544718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l**2 + 192*l + 1125. Calculate m(-6).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 19740*q - 14429909. Calculate w(731).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 442585127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*l*z**4 + l*z + 952*l - z**4 wrt z?\nAnswer: -316*l*z**3 + l - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(70) - sqrt(70))*-5 - (-4*sqrt(70)*-2 - sqrt(70))*-6)\/(((sqrt(70)*-3 + sqrt(70))*4)\/(3*(sqrt(7) - sqrt(7)*-1 - sqrt(7)))).\nAnswer: -69*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 + z + 5. Let x = -489 + 492. Let g(w) = -14*w**2 + 3*w + 14. What is x*g(v) - 8*q(v)?\nAnswer: -2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000443902851 to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.8 and 0.08966.\nAnswer: -1.506288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10655240*g**3 - 578310.\nAnswer: 31965720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/168 and 98\/(-40)*(-175)\/1260.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17)*l*l*l*l**(-14))**(1\/6) assuming l is positive.\nAnswer: l**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 85*o**2 + 91*o**2 - 2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22 + 3\/6*0. Suppose 2*q - g = q. Suppose -z + 4 + q = 0. What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 - 155. Let j(x) = -104*x + 87. Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712832 divided by 6?\nAnswer: 285472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m - 989 = -1151 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -24. Suppose -d + 3 = -2*h. What is the common denominator of -15\/22 and 0 + h + (-4)\/((-264)\/69)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*b - 15*b + 17*b + (-4*b + 2*b + 3*b)*(-2 + 2 - 1) - 4*b - 4*b + 3*b.\nAnswer: -101*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 y when four letters picked without replacement from eyeeeeeeeeeeeee?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16293 - 10494. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.486ms in seconds?\nAnswer: 0.574486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 468 + -262. Suppose 5*y - 189 = 2*t + 149, 3*y + 2*t - h = 0. Let p = y + 6. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*p - 5*l, 0*p = 5*p - l + 68. Let w = p + 33. Suppose 17*b + 18 = w*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**4\/4 - 2*i**3 - 3*i**2 + 2*i - 1. Give z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -16, -34, -72, -136, -232, -366?\n\"Answer: -f**3 - f**2 + 6*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1611, 3242, 4907, 6624, 8411, 10286, 12267, 14372?\nAnswer: 16619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4170 or 5662?\nAnswer: 4170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2 + 1 - 4*n**2 + 3*n**2 - 5*n + 2. Give c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.9919kg in nanograms?\nAnswer: 632991900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 10?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkmp when four letters picked without replacement from ptkkmtmmmmpp.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7713 - -42096. Suppose -4*u - 5*l = -4*l - 20, 4*u - 2*l = 8. Suppose -u*a - g - 25617 = 0. What is a rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 + 111 - y + 108.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35250*j = 36243*j + 84405 for j.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 8. Suppose 2*t + 5*x = -10, -5*t = -0*x - 3*x - 6. Solve -v = 3*o - t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y\/(y*y*y*y**(-2)\/y))*y**(-14) assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-5)\/90*1). Suppose 2*y - 772 = 4*q, -4*q + 29 = 9. What is the highest common divisor of i and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206\/3 - 68. Which is the second smallest value? (a) -4 (b) 1 (c) i (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-12)*-2*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 4*i - 5. Let y be b(-3). Suppose -24 = -2*f + y. Let p = 49 - f. Calculate the greatest common divisor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27130, 54275, 81404, 108517, 135614, 162695, 189760?\n\"Answer: -8*v**2 + 27169*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 27. Suppose -n + 4 = -5*f. What is the units digit of (-2*9\/24 - f)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*h**4 + 92*h**3 - 17*h**2 + 78*h - 28038 wrt h.\nAnswer: -1548*h**2 + 552*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/31 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 16) in base 2?\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 15. Let h be (-3)\/20 + z\/(-4). Which is the third biggest value? (a) -4 (b) -2\/15 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*n + 3 = 28, -4*n - 23 = u. Let s be -1*(-1)\/u*6. What is the biggest value in -0.1, s, 0.06, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20766.\nAnswer: 2, 3, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:35 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/39 (b) 3 (c) 0.4 (d) 9 (e) -0.02 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, n: 5, v: 2}. What is prob of sequence nnvk?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + 663?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 19*a**2 - 92*a - 470. Give f(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.118 - -0.088. Let c = 0.03 + j. Let p = 0.057 + -5.057. What is the third biggest value in c, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 18 - 16. Let o(f) = 996*f + 6. List the prime factors of o(z).\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + 2 - (-121 - -136)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230 a factor of 4693680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 19*p**3 - 13*p - 3. Let g(b) = -663*b**3 + 455*b + 104. Determine 3*g(a) + 104*w(a).\nAnswer: -13*a**3 + 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/7872577?\nAnswer: 2\/7872577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -936 and 13.\nAnswer: -12168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2911 = 5*u, -3*u = -4*u + 2*k + 564. Calculate the highest common divisor of u and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p**2 + p - 6. Let y be k(-5). Let x = -83 + 415. Let l = x + -234. Calculate the highest common factor of l and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1604, 6206, 13876, 24614, 38420, 55294?\nAnswer: 75236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-3*p + 4*p + 0*p + (1 + 0 - 2)*(-1 + 1 - 3*p) + (1 - 1 - 1)*(2*p - p + p) + 3*p + 5*p - 5*p + 3*p - 2*p + 6*p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-94)\/(-18) + (-4)\/18. Suppose y*u = 9*u - 20. What is the derivative of 21 + u - 5*n**4 - 8 wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**7\/525 - l**6\/150 + l**4\/30 + l**3\/15 - 9*l**2. Solve q(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.98 + 0.88. Sort h, 4, 19\/4 in decreasing order.\nAnswer: 19\/4, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 441831549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/27280 and -17\/8680.\nAnswer: 190960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 7*d - 163. Give b(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.027322 + 0.7\nAnswer: 0.727322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -265? (a) 2 (b) -25 (c) -0.5 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2263 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = -i. Let k(o) be the second derivative of -3*o - 2*o**2 + 1\/12*o**4 + i + 5\/6*o**3. Calculate k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {j: 5, o: 3, s: 2, z: 8, l: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 6. Let w = n + -8.3. Let v = 0.6 + w. Is 1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 1157296812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 17*r**8\/336 + r**6\/60 - 7*r**5\/60 - 17*r**3\/2 + 259*r**2. Find the third derivative of b(h) wrt h.\nAnswer: 1020*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162*u**3*w**2 - 4782187*u**3*w - 14897*u*w**5 + 2*u*w wrt w.\nAnswer: -324*u**3 - 297940*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37788 - 41432 - n**2 - 2615 + 9968.\nAnswer: -n**2 - 71867","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -401a (base 13) in base 7?\nAnswer: -34455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 386835*g. Let p(h) = 997*h. Determine 2*f(s) - 777*p(s).\nAnswer: -999*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - r**3 - 6*r**3 + 2*r**3 - 4 - 2*r to the form v*r**3 + p*r + o + g*r**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-64*s**2 + 52*s**2 + 40*s**2).\nAnswer: -56*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 43. Suppose -16 = 3*w + 11. Let i be c\/w*(-2 + -1). Solve -2*s - 11 = -s - i*m, -2*m + 3 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 33. Let p be f(-12). Solve 3*n - 5*k + 15 = 0, -4*k - 9 = p*n - 7*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 837982708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35816675 to the power of 1\/2, to the nearest integer?\nAnswer: 5985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 344314?\nAnswer: 344321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47908, -92489, -137068, -181645, -226220?\nAnswer: -270793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + 5*h**2)*(-1 + 2*h - 2 + 4 + (0 + 2 - 3)*(h + h - h)).\nAnswer: 5*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + (12 - 259486\/(-8)) + (-3)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:21 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09953 + 0.09953. What is the biggest value in 4, 10\/37, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 5 - (-4)\/(-1))\/(-2). Solve -4*w + q + c = -q, 5*q - 9 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -373 - -331. What is the common denominator of (120\/b)\/(1 + -2) and -34\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*x - 3*x**2 - 5*x + 27*x**2 wrt x.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0 - 522*r**2 - 78*r**2 + 580*r**2 + 2. Let l(t) = -26*t**2. Determine l(u(z)).\nAnswer: -10400*z**4 + 2080*z**2 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 37\/45 + 9\/(-15). What is the nearest to -0.1 in -5, d, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*x - 9885 - 9566 - 4014 = 13327 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*r**2 + 717*r**2 - 132*r**2 - 32*r**2 - 214*r**2.\nAnswer: 216*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428283?\nAnswer: 3, 23, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7711508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 15*s**2 + 11*s - 20. Suppose -3*p = 3*x + p - 57, 2*x - 3*p = 21. Is j(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34902331 + 5?\nAnswer: -34902327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a microgram in nanograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Let y = 3 - 3.2. Which is the closest to 0? (a) -2 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*b - 4. Let x(c) = -b*c**3 + 9*c**3 + 3*c - 1 - 2*c**2 - 4*c**3. Determine x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4914 and 189?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*10\/5 + 10. Let j(t) = -14*t + 2*t**2 - 2*t - t**2 + 9*t. Determine j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 443 - 572. Let n = 129.2 + x. What is the second smallest value in -111, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:10 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 y when four letters picked without replacement from {d: 3, y: 4, n: 1, i: 1, r: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 o when three letters picked without replacement from hooohoooohooohooohoo.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 540620 and 1\/68 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {v: 6, g: 4, d: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v*v*(v**(1\/3)*v)\/v)*v*(v*(v**(-3)*v)\/v)\/v)\/(v**(-2\/7))**47*(v**0\/(v*(v*(v\/(v\/(v*v**1)*v))\/v)\/v))\/(v*v**(-6)*v*v**7) assuming v is positive.\nAnswer: v**(170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2 + g**2 - g + 0*g**2 - 2*g + g**3. Suppose p - 17 + 7 = 0. Calculate the remainder when f(3) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*w**2\/7 - 489*w\/7 + 390\/7.\nAnswer: 3*(w - 1)*(33*w - 130)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 26783125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 418 - 413. Let k(s) = -s**3 + 5*s**2 + 4. Give k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261042841?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 70, 51, 11947.\nAnswer: -2, 51, 70, 11947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -314 (b) -1\/5 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, 3, -1, -0.5, -0.054?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*v - 4. Suppose v*y = 171 - 439. Let q = y + 109. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 g when three letters picked without replacement from {g: 1, k: 6, r: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 72*s**5\/7 - 48*s**4 + 626*s**3\/7 - 582*s**2\/7 + 270*s\/7 - 50\/7 = 0.\nAnswer: 5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -2*f - 368. Calculate the remainder when 74*(0 + f\/4 + -3) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 1. Let x(a) = 1. Let y(i) = 2*q(i) - 2*x(i). Let c(d) = -91*d**2. Give c(y(p)).\nAnswer: -364*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19715.52 months?\nAnswer: 1642.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8191444324 to the power of 1\/2, to the nearest integer?\nAnswer: 90507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3765*t + 3766*t + 1300 = 0. Let a = t + 2661. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1550\/(-180) + 4\/(-18) and 97\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-31\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, 2, -32072 in ascending order.\nAnswer: -32072, -280, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-416)\/(-56))\/(-13) - (-12728)\/1204.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -1.3. Suppose -24*a + 3550 = -2282. Let r = a - 240. What is the second smallest value in r, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y - y)*(-y**3 - 1 + 1) - 95*y**4 + 893*y - 893*y.\nAnswer: -93*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012958457 rounded to seven dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6072 and 1188?\nAnswer: 54648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.75647 minus -1.8?\nAnswer: 3.55647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - 0)*14\/(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 24 - (-8 - -54).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 11\/4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1704*f + 1714*f - 7200. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 91630.24 millimeters?\nAnswer: 91630240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 47. What is the nearest to 0 in p, -0.2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {p: 7, a: 7, g: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010011010110 (base 2) in base 15?\nAnswer: -79ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-2\/31)\/(r*r\/((r*r*r*r**(-1))\/r))**(-3\/5) assuming r is positive.\nAnswer: r**(83\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m + 4 + 30*m - 8*m - 2.\nAnswer: 43*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7\/4)\/f)\/f**(-1\/6))\/((f**8\/f*f)\/(f*f\/(f\/f**(-21))*f)) assuming f is positive.\nAnswer: f**(-355\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 98 + 10*i**2 + 2*i - 92 - 9*i**2 + 5*i**4 as r + a*i**4 + j*i**2 + m*i + f*i**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1672*u**4 - 3*u**3 + 1688*u**4 - 3357*u**4 + 261*u in the form z*u**2 + k*u + j + b*u**4 + p*u**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22 + 50*c**2 + 22 + 47*c**3 + 3429*c**2 + 0 + 27*c**5 wrt c.\nAnswer: 1620*c**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + p + 6 - 1 = 0, 245*h = 246*h - 3*p - 23 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*y - 3958, 3*p = -2*y + 177 + 1807. Suppose 113 = 8*x - 71. Calculate the greatest common factor of y and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 8*o**2 + 5*o - 2. What is v(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 13\/(-4))*(-4 + 2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9962*b + 8188765. Give u(822).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35332.16ml to litres.\nAnswer: 35.33216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (10 - 2) + 1 + (0 - 5).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3, 4*m - 12 = m - 2*o. Let k = m - 10. Let n = -3 - k. Is 4 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.33 - 17.67. Let m = 78 - i. Which is smaller: -1\/4 or m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13505 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((95\/((-10545)\/592))\/(1\/(-2)))\/(4\/(-12)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbscepctt. What is prob of sequence eecb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 101 * -0.3296\nAnswer: -33.2896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1242880*q - 9943042. Calculate c(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3056517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -24, 11, 48, 87, 128?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*t**2 - 1046*t**2 - 5276*t**2 as c*t + i + x*t**2 and give x.\nAnswer: -6258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001483 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:39 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 31*g**2 + 8*g + 5. Give f(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z. Let b be -3 + (2 - -313)\/(-5). Let h = b + 70. Solve l + 10 = -5*n, 5 = h*l + 5*n - z*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + 4 + (-2*sqrt(117)*-3)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/441 and -26\/9.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 77*b**4\/12 - b**3 - 7*b**2. Let i be (-2)\/(-10) + 57\/15. Let n be f(i). Round n to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 88. Let i be 90\/44 + -1 + -1. Let o = -57\/286 + i. What is the second smallest value in s, -1\/7, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w**2 + 361*w - 486. Let h(n) = 2*n**2 - 91*n + 125. Let t(c) = 11*h(c) + 3*y(c). Factor t(q).\nAnswer: (q - 1)*(q + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445049444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3158 - 3144.09. Let o = x + -14. Let g = 0.33 + o. What is g rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 83*f + 83*f)*(f - 4*f + 4*f - f + 3*f + 0*f + (0 + 2 - 4)*(0 - f + 0) - 7*f - 13*f - 40*f).\nAnswer: -220*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4979 plus 2231.52323?\nAnswer: -2747.47677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -299813 or -299807?\nAnswer: -299807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57994601 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/12)\/8*-15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -11. Let u = i + -7. Suppose u = 6*p - p - 150. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) -2\/9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 159 + 105. Let n = w + -70. Let t = -245\/177 - -3\/59. What is the second biggest value in 0.3, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6935657 take away -0.4?\nAnswer: 6935657.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b - 131. Let s be o(9). Let x(i) = -8*i**3 - 8*i + 9. Let p(y) = 3*y**3 + 3*y - 3. Calculate s*x(k) + 11*p(k).\nAnswer: k**3 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759*l + 652 - 652.\nAnswer: 759*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**2 - 1474*j - 560. Determine f(-113).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111745*w**5 - 3*w - 199883 wrt w?\nAnswer: 2234900*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 13 - (-1 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5044964, 5044967, 5044970, 5044973, 5044976, 5044979?\n\"Answer: 3*r + 5044961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 26*k**2 + 4. Let p be m(-26). Determine g, given that -63*g**2 - 387\/2*g**3 + 1323\/4*g**5 + 0 - 6*g - 273\/4*g**p = 0.\nAnswer: -2\/7, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*u + 21 - 81, 4*c + u = 120. Is ((-5)\/(c\/(-1146)))\/((-2)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4, 2, -10262, 336 in descending order.\nAnswer: 336, 5, 2, 1, -4, -10262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15911 in -0.6, 2, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/156)\/(-5)*(-12)\/(-15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-12)\/(-15))*16\/20*-3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + x**2 + 0*x**2)*(x**2 + 3*x**2 - 3*x**2) + (1 - 3 + 0)*(87*x**4 + 945*x**4 + 542*x**4) + 2*x + 2*x**4 - 2*x.\nAnswer: -3144*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2398 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65472687 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280023?\nAnswer: 3, 31, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 66*l + 504.\nAnswer: 2*(l - 21)*(l - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 4*p - 4. Give r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(2*sqrt(114) - sqrt(114)) + (((sqrt(114)*-2 - sqrt(114)) + sqrt(114))*-4 - sqrt(114)))\/(6*sqrt(18)\/(sqrt(3) - sqrt(27))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 121741 + -2?\nAnswer: 12173c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5078?\nAnswer: 2, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -36. Let l be i\/2 - (13291 - -5). Round l to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/6 + 1616*h**3\/3 + 652864*h**2 - 21*h - 54. Let m(r) = 0. What is r?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*y - 12720 = 272*y - 561*y. What is the greatest common factor of 106 and y?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -314\/5, -0.4 in increasing order.\nAnswer: -314\/5, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*f - 39 = 3*f, -4*f - 2 = 2*i. Let y be 3 + ((-40)\/(-140) - 82\/(-7)). Calculate the remainder when (-36)\/y*(-45)\/6 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117957430 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22848.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61548613.\nAnswer: 7, 179, 49121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(136) - (sqrt(136) + (2*sqrt(136) - sqrt(136))))\/sqrt(8))**2 - ((2 + sqrt(425))**2 - sqrt(17)).\nAnswer: -361 - 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -44, 8, -5, -6 in increasing order.\nAnswer: -44, -6, -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3382 and 117\/532.\nAnswer: 47348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 2 + 1630750*y.\nAnswer: 1630750*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 142 = y, -3*y + 2*t = -415. What is the remainder when y is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 times 190972\nAnswer: -12795124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 212300, 424573, 636846, 849119, 1061392, 1273665?\n\"Answer: 212273*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5609 + 5624. What is the closest to -2\/5 in 1\/14, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1\/43 (b) 0 (c) -0.05 (d) -0.5 (e) -2249 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -8. Let g be (1\/2)\/(4\/x). Is g < 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 11 - 27. Suppose 0 = -l + 3*x - 11, -3*l + 4*x - 22 = -9. Let w(j) = j**3. Let g be w(l). What is the highest common divisor of p and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 3*o + 4. Let m(h) be the first derivative of h**3\/3 - h**2\/2 + 26. Let l(g) = 3*m(g) - r(g). Find k, given that l(k) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132181144 minus -3.3?\nAnswer: 3.432181144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a7 + -1?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**3 + 932*d**2 + 563*d + 4893. What is g(-103)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -381, -368, -343, -300, -233, -136?\n\"Answer: i**3 + 6*i - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1457178 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**5\/60 + x**4\/24 - 13*x**3\/6 - 9*x**2. Give r(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3044, 6096, 9148, 12200, 15252, 18304?\n\"Answer: 3052*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 111893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 + 25*x + 36. Let c be w(-22). Suppose 8*g + 2 = c. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t + 4. Let a be (-92)\/(-32) + (-11)\/(-88). Let u(o) = -a*o**2 - 13 - 20 + 57 - 24. Give z(u(j)).\nAnswer: 12*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 834 divided by -26.\nAnswer: -417\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0094531 to 5 dps.\nAnswer: 0.00945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111 - (31 - -85)) + (2 - (-2 - -34)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 95 = -45. Let u(o) = -66*o**3 - 3*o**2 - 7*o - 9. Is u(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696874623 to the power of 1\/2, to the nearest integer?\nAnswer: 26398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 15*j**2 - 2*j + 3. Let z be b(2). Let f = z - -96. Suppose 2*m = -3*m + f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1283 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 893 - 892. Let q = -0.25 + -4.75. Let j = -4.8 - q. Is j at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 1680*w - 1688*w + 3382*w.\nAnswer: 14*w - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:09 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 61 + 5 + -3 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -1, 12, 27, 44, 63, 84?\n\"Answer: z**2 + 8*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 0, 7 - 27 = -4*w + 4*f. Suppose -w - 1 = -2*k. Find the third derivative of 6*o**2 - 6*o**2 + k*o**2 + 5*o**4 wrt o.\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6359 - 6358.2616. Round a to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1) + 3012\/(-33). Let c = s + 94. Are -0.1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703652.7ml to litres.\nAnswer: 703.6527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -134.432. Let n = r + 3.21. Round n to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - 0 - (-24 + -18 + 44 + -11) - 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2312030310 - -212?\nAnswer: -2312030032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(1 + 0 - 2)*((2*u - 4*u + 5*u)*(0 + 2 - 3) - 3*u - u + 6*u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -550062 < -550063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878977595?\nAnswer: 5, 6089, 28871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j**3 + 0*j**3 - 8*j**3 + 3*j**3 + 19 wrt j?\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -285539 * 0.4.\nAnswer: -114215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -3173 (c) 186 (d) -0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 6, 4512?\nAnswer: 4512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 15. Suppose 5*s - 4*x + 3 = 4*s, 117 = -4*s - f*x. Let i = 42 + s. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 56. Calculate k(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09636 and -20.\nAnswer: 1.9272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6397, -12759, -19087, -25375, -31617, -37807, -43939, -50007?\nAnswer: -56005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1180219\/60 - -98268\/5. Let a = -293\/12 - b. Calculate the common denominator of a and 3\/(-16)*(-46)\/(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 0*d - 3 - 3\/2*d**2 + 5\/3*d**3. Find the second derivative of a(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 10*n + 70. Calculate f(-7).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 7) to base 6\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*l + 4, 3*t + 2*l = 3*l + 22. Suppose 0 = t*k - k + 25. Let n(r) = r**2 + 7*r - 2. Calculate n(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 3, o: 1, e: 4}. What is prob of picking 1 e and 1 i?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 6) in base 8?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, 30, 8, -2, -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107914, -215825, -323734, -431641, -539546, -647449?\nAnswer: -755350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30011320 - 120?\nAnswer: -30012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {o: 2, v: 1, p: 1, l: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven eighths of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-234)*3\/(-10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 6 - 136. Suppose 0*n + g = 2*n. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4 + 719246*b**3 + 33*b**2 + 1312123*b?\nAnswer: 48*b + 4315476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23257993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2. Let i(b) = -b**2. Let n(q) = -6*d(q) + 13*i(q). Let l(j) = 10*j. Give l(n(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 34 = 2*j + 2*j, 0 = j + 4. Calculate the remainder when 23 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*b - 521*b - 5*q - 7 = 0, 2*q = -4*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -12*n - 312. Let k be g(-26). Solve 147*u - 152*u = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 666220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*o - 13544 + 11906 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g - 1. Let o be u(2). Let m be -5 + (4 + o - 2). What is the units digit of 138\/(-2)*m\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/29463 and 131\/101016.\nAnswer: 707112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678, -1225, -2136, -3411, -5050, -7053, -9420?\nAnswer: -12151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 4*o**2 + 2*o + 1. Let b be h(-3). Suppose -5 = b*c - 25. Solve c = -g - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/14 and 109\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Suppose -136 = -0*m + p*m. Let u = 74 + m. Calculate the greatest common divisor of u and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 116. Let w be s + 12\/(9\/(-3)). Put 4, 3, w in increasing order.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Suppose 60 = -j*s + 395. Let o = s + -47. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -465, -875, -1317, -1713, -1985, -2055?\nAnswer: -1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 624 and 39.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-98) - (-6)\/14. Suppose -5*v + 4*w + 877 = l, -337 = -2*v + 5*w - 8*w. What are the prime factors of v?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8600, 8845, 9534, 10895, 13156?\nAnswer: 16545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 49, -4, -2.\nAnswer: -4, -2, 30, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 39596148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 786873516 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/61461 and 113\/6?\nAnswer: 122922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 + -277*(-7 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**6\/40 + 3*r**5\/10 + 19*r**4\/8 - 12*r**3 + 2131*r**2. Solve a(b) = 0 for b.\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2521 = -q + 2*q + i, -4*i = -12. Suppose -2*h = -q + 2520. Do h and -3\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) -2 (c) 1.91 (d) -1893\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71381413 rounded to the nearest 1000000?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1100 + 7704\/7. Let c = 1 - 3. Let f be (0 - 0)\/(-1 - c). Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3470\/9 - 386. Let g be 28\/21*(-6)\/(-8). Is u greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9126 and 8983026?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - 1.64. What is the third smallest value in 5, p, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9575.56 millimeters?\nAnswer: 9575560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-13)*r*r*r)\/(r*(r*r**(4\/9)*r)\/r))\/(r*r**(1\/3))**(10\/11))**(-5) assuming r is positive.\nAnswer: r**(-7100\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(1088)*6 + 1)**2.\nAnswer: 864*sqrt(17) + 3172609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 0.025 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587 + (2 - (5 + -6))?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 120\/80 - (-28)\/8. Sort -30, -3, 3, l in descending order.\nAnswer: l, 3, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4920438 at least as big as -4920441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8484?\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**5 - 5*x + 5*x + 4*x**2 wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6\/5, 4, -1\/11.\nAnswer: -6\/5, -0.4, -1\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2364994, -9459947, -21284860, -37839727, -59124542, -85139299, -115883992?\nAnswer: -151358615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9)\/(f\/(f**(-5)\/f)))**48 assuming f is positive.\nAnswer: f**(-1040\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 946 divide 118758637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 2. Suppose 4*q + 2*z - b = 0, -3*z + 3 = -q + 4. Put q, -4, -5, 3 in increasing order.\nAnswer: -5, -4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4246.\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Let s(p) = -1 - v*p + 14 + 4*p. Let z be s(-6). Solve -2 - z = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -25?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t**2 - 2*t - 7. Let x be w(-3). Suppose -145 = -2*a - 5*q, -q - x = -a - 5*q. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.5 (c) 527 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136322 (base 7) to base 13.\nAnswer: bc2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -177750 times 0.9?\nAnswer: -159975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 111810158 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 76 = -5*b, -3010*b = -3012*b - 10*r + 82 - 18 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -57*q**2 - 31*q + 5. Let n(b) = 11*b**2 + 6*b - 1. What is -11*n(f) - 2*o(f)?\nAnswer: -7*f**2 - 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182 - 186 - (-4 + 39).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/2 or 3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 48775966.\nAnswer: 48775966.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -27*t**3 - 170*t**2 - 87*t - 231. What is g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-36) + (-11)\/(-4) + -1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = b - 19, 3*t - 16 = -t. Let g = 9 - b. Solve -a = g - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**8*j*j**(1\/34)\/j assuming j is positive.\nAnswer: j**(273\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*f - 155*f + 84. Solve 5*b = -5*m + 5, -5*b = f*m - 8 - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*c + 386 - 35 + 128*c - 64*c to the form i*c + j and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000180133 rounded to 7 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.055255, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.7 * -2.648.\nAnswer: -33.6296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l + 900 = -3 - 21 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-18))\/((-10)\/6). What is the nearest to 0.1 in c, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/12922146 and -29\/69076?\nAnswer: 180910044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6.5*0.21427\nAnswer: -1.392755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:42 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 28*a**2 - 171*a - 1. What is z(5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*q + 108868 = -70*q + g, -q = g - 27214. What are the prime factors of q?\nAnswer: 2, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v + 109. Give h(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003574 rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 2*c - 2. Let u(w) = -30*w**2 + 21*w + 21. Suppose 0 = -4*x + 5*x + 2. Determine x*u(j) - 21*m(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1332960 and 1120.\nAnswer: 9330720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/27 and -44\/41?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2315 - 1394. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3614.1 + -3614. Let q = -1.8 + 13.8. Which is the closest to w? (a) 2\/15 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*j - 30, -5*i - 3*j - j = -9. Suppose 2*p + 2 = -5*k - 2*p, p + 13 = i*k. Calculate the lowest common multiple of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2120 by -20.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s**2 + 13*s**2 + 4*s**2. Let j(l) = -3*l**2 - 2. Let h(u) = 3*u**2 + 1. Let p be h(1). Give p*a(i) + j(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 64*i**3 + 308*i**2 - 392*i.\nAnswer: 4*i*(i - 7)**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (91904 - 21*q + 7*q - 91900)*(q**2 - q**2 - q**3) in the form w*q + n + i*q**3 + k*q**4 + t*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 175*x - 10350. Determine j(-70).\nAnswer: -3000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*(-20)\/15. Which is the nearest to 0.1? (a) -3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -65. Suppose 2*h - 3*m = -2*h + 5, -l*h - 15 = -5*m. Find the third derivative of -3*b**2 - 2 + 3 - 13*b**h - 1 wrt b.\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 2*r**2 - 5*r - 3. Let y = 15 - -9. Suppose -2*f + 4*j = -10, 4*f + 5*j - 2*j + y = 0. What is the tens digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 4 - 8*t - 5*t + 33*t - 19.\nAnswer: 5*t - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.429 and -442.\nAnswer: -189.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45 - 9)*2\/4. Let g(w) = -7*w + 12. Let b be 1\/((-2)\/20) + 4. Let y be g(b). Calculate the highest common divisor of u and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144\/13 - 2\/13*p**5 + 20\/13*p**2 + 30\/13*p**3 - 120\/13*p + 0*p**4 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f + 188*f + 227*f to the form z*f + a and give z.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/819 and -43\/332969.\nAnswer: 2996721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**6\/4 - q**3\/6 - 2*q**2 - 6*q. Let h(r) be the first derivative of m(r). What are the prime factors of h(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(5\/(5\/(-2))). Suppose -24*v = 6*v - 240. Suppose 0*i + i - 1 = -h, -4*i - v = h. Solve -h*f + 0*f = z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 5. Let a = -4 - q. Suppose a = -k + 18 + 13. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3\/7 + 15*i**2\/7 - 99*i\/7 + 81\/7 = 0. Calculate i.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -48700035?\nAnswer: 48700011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v - 138. Let a = 232\/5 + v. Let s = -1\/37 - -45\/296. Put s, -3, a in ascending order.\nAnswer: -3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 1. Let v(f) = f**2. Let g be v(1). Let p(l) be the second derivative of l**4\/3 + l**3\/3 - 3*l**2 + 2*l + 2. What is g*p(k) - 5*a(k)?\nAnswer: -k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (5 + (-4 - 0)). Suppose -2*o = z*g - 7, 2*g + 3*g - 5*o + 5 = 0. Calculate the remainder when 1 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*g + 36 - 38*g - 158 - 3*g - 231 - g**2 with respect to g.\nAnswer: -2*g - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljji when four letters picked without replacement from {l: 1, v: 1, i: 1, j: 4, n: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1446 - -1447. Which is the second biggest value? (a) o (b) 0.4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34409)\/5928 - -6 - 2\/13. Let g(b) be the third derivative of 1\/6*b**3 - q*b**4 + 0 - 29*b**2 + 0*b. Calculate g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198.505 + 0.495. Let d = o - 198.9763. What is d rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 13 = -41*x. Let d(z) be the third derivative of 5\/24*z**4 + 0*z + 3\/2*z**3 + z**2 + 0. Let w(c) = c + 2. What is x*d(n) + 9*w(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -14 (b) -1 (c) 1 (d) -72.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 3. Let m be d(-5). Suppose 4*p - 22 = -2*c, -p + m*c + 7 = c. Calculate the remainder when (-3)\/(-6) - 21\/(-2) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147*t**4 - 10*t**3 - 37*t**2 + 2*t + 159259694.\nAnswer: -588*t**3 - 30*t**2 - 74*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 3. Let r be j(6). Suppose 5*x = r*x - 8. Solve 3 = 5*y - x*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**3 + 113*d**2 - 41*d - 64536 wrt d?\nAnswer: -3*d**2 + 226*d - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*i - 18 = -7, 0 = -3*m + 3*i + 3. Suppose y = -0*y + 5*r - 23, -m*y - 3*r + 19 = 0. Is y > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -105, 12, 13.\nAnswer: -105, 0, 6, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 5. Suppose t = 2*d - d. Sort d, -7, -1 in increasing order.\nAnswer: -7, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 6 = -3*a. Let y(v) be the first derivative of 2\/3*v**3 + 2*v + 2 + a*v**2. Solve y(g) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9734107239.4 and -1559.\nAnswer: 9734105680.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.28, 12, -327, -2, -3\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -89*p - 35. Let l be g(-2). Suppose 0 = -l*h + 124*h + 10583. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*127*(-5 - -4). Let s = g + -71. Calculate the greatest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5034.69336 + 1470.\nAnswer: 6504.69336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 7*j - 93*j - 33*j - 35*j.\nAnswer: -146*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7\/4))\/(u\/u**(-1\/6)))\/(u**3*u**(3\/8))*(u**(-1\/2))**28\/(u*u*u**0*u)**47 assuming u is positive.\nAnswer: u**(-3847\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*g - 388*g**2 - 101*g + 388*g**2 - 16*g**3.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 30 + 18. Let c = 68 - k. What is the greatest common divisor of 140 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Suppose 0 = -2*h + 50 + 122. Let t(l) = -205*l + h*l + 98*l. What is i(t(q))?\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*b - 34 = 2*b, 91 = 3*m + 2*b. Solve -94 = -m*t - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 35. Let n be c(0). What is the greatest common factor of n and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2575*l**4 + 2085*l**2 wrt l.\nAnswer: -61800*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54586788941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**6\/72 + 5*c**4\/24 + c**3\/2 - 5*c**2. Let w(m) be the first derivative of g(m). Find the first derivative of w(q) wrt q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 16 = 15*p. Find the second derivative of 5*v**3 - 5*v**3 + 1394*v**p - 1384*v**4 + 25*v wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/2 (b) -1 (c) -3 (d) 3\/2 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -133 + 10111*n**2 + 73 + 60 in the form v + d*n + p*n**2 and give p.\nAnswer: 10111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25*t - 2951. Give n(-32).\nAnswer: -2151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7.75 (b) 32 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 386*j. Let p(u) = 5*u**2 + 4. Give p(x(y)).\nAnswer: 744980*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 126, 317, 586, 933, 1358?\nAnswer: 1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-24) - 615\/756. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 4*f**2 - 56*f + 116. Let w be b(2). Solve 20 = -w*a, -7 = h - 2*h + a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, d: 1, i: 2, f: 7}. What is prob of picking 1 f, 1 d, and 2 u?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3980.761 to the nearest one hundred.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -6305, 0, 5 in descending order.\nAnswer: 5, 3, 1, 0, -6305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 10*x**2 + 2*x + 4. Suppose -9*s - 68 = -158. Determine c(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.7 times -4.5\nAnswer: -21.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - 2\/12. Let d = 0.1905 - -1.8095. What is the nearest to i in d, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 312802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41860934 to the power of 1\/2, to the nearest integer?\nAnswer: 6470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -r - 5 + 1, 2*i + 3*r = -12. Suppose -2*n + 60 + 10 = i. Let w(p) = p**2 + 10. Let h be w(-5). What is the highest common factor of n and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/27 and 22\/147.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/980)\/(9\/90*2).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 205*h + 352 + 2703, -20*n + 2*h = -19*n + 14 - 40 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0)**23*((q*q*(q**6*q)\/q)\/q*q)\/q*q\/(q*q**(-1)*q)*q)**(-13))**(-2) assuming q is positive.\nAnswer: q**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**26*w)\/(w*w\/((w\/w**(-2\/41)*w*w)\/w)*w) assuming w is positive.\nAnswer: w**(1109\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 20 - (2 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(55\/22)*12180\/(-43848)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)*1)\/sqrt(5) - (sqrt(1250) - -2*sqrt(1250)))\/(-6*(sqrt(1440)*2 - sqrt(1440)))*-2.\nAnswer: -7*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 34*y**2. Let g(c) = 6962*c - 2. Calculate g(w(o)).\nAnswer: 236708*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhfta. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/120 - o**5\/30 - o**4\/24 + o**3\/2 - 6*o**2. What is the remainder when u(4) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 6*i - 3 = -z, 2*z + 14 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from qqrrqrpq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 >= -30018\/3665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43359 = -4729*s - 478427 for s.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 2*k**2 - 3*k + k**2 + 23*k - 40. What is the tens digit of t(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197130, -197132, -197134?\nAnswer: -197136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 3. Let t(k) = 1. Suppose -6*z + z - 3 = -2*n, -12 = -4*z - 2*n. What is z*m(f) - 3*t(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47605461, -47605461, -47605463, -47605467, -47605473, -47605481, -47605491?\nAnswer: -47605503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2. Let p(d) be the second derivative of -d**5\/120 - d**3\/3 - 3*d. Let a(n) be the second derivative of p(n). Determine a(l(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.17, -23.8, -0.4, 0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 186 + 32 = 0. Solve 5*a = -d + z, 2*d = -4*a - 2*d + 24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -23*l**2 + 1. Let y be f(-1). Suppose 2*s = -c + 5, 2*s - 14*c = -9*c + 35. Let g be 8\/s*(-55)\/y. Solve 2*v - g = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 0\/((-2 + -13)\/(-5)). Find the first derivative of 30*k**2 + 101 - 10 - 16*k**2 - 12*k**g + 47*k wrt k.\nAnswer: 4*k + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -0.149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.792 + -15.602. Let b = d - 0.19. Let z = 14.00000036 + b. What is z rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16114679 to the nearest integer?\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqblmf. Give prob of sequence bf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-15)*b*b**15 assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0.3 (c) 12.455 (d) 0.052 (e) -0.067\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 5*s**2 - 4*s - 2. Let q be j(4). Let k(x) = -x**3 + 6*x**2 + x - 7. Let z be k(6). Let o be z\/(-42) + q\/12. Is 1 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35799 + 59931. List the prime factors of k.\nAnswer: 2, 3, 5, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20139406, 20139444, 20139482, 20139520, 20139558?\nAnswer: 20139596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8403383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhgg when four letters picked without replacement from hhbgnhngnbrnhu.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Let b be (3\/((-6)\/(-4)))\/1. Let n = -691 + 694. Solve -n*p + a = -b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -24*o**2 - 6*o + 14. What is r(2)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8675 divided by 25\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 2 + 3 + -5 - -244 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 5*n - 9. Let o be m(6). Suppose -3*l - 11 + 37 = -5*z, 2*z - 2*l = -12. Put 5, o, z in increasing order.\nAnswer: z, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 16*a**2 + 5*a**2 + 18*a**2 to c + y*a**2 + p*a and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 4*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86894?\nAnswer: 2, 23, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5740394.21 to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (-11 - -9)) + (-39 - -1). Put m, 6, -2 in increasing order.\nAnswer: m, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 4\/1409 (c) 2\/9 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 357576169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -61571 divided by -8?\nAnswer: 61571\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/42)\/(12\/(-144)*-8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 27. Let t be u(22). What are the prime factors of (-9)\/15 - (-573)\/t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 810\/(-375)*5\/(-4) and -61\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/7 (b) -1\/3 (c) -0.933\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 15\/4, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126380 + 54797. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341353379 to the power of 1\/3, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2587\/6 + 431. What is the second smallest value in d, -5, -35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35099930.\nAnswer: 2, 5, 149, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2256)\/(-88))\/((-1960)\/(-222)). Let r = 2\/539 - l. What is the common denominator of r and -31\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2409 and 13\/72?\nAnswer: 57816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:32 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*(-2)\/8*-2. Suppose -3*i + 45 = -8*i. Let g = 12 + i. Solve -1 = -t*l + g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/120 - 4*r**5\/15 - 3*r**4\/2 - 5*r**3\/2 + r**2 + 576*r - 1. Calculate y(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 8) to base 3\nAnswer: 11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + -3 - 0\/(-1). Suppose -x - 7 = -z. Solve 0 = 4*v + 1 - z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 - 32\/10. Let v = -1 - p. Determine h so that 1\/4*h**4 + 1\/4*h + 0 - 1\/4*h**3 - 1\/4*h**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979510808 to the power of 1\/2, to the nearest integer?\nAnswer: 44492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 24 = -34. Let v(u) = 4 + 54*u - g*u + 2. Let m(t) = -1. Let s(d) = 5*d - 9. Let c(z) = 2*m(z) - s(z). Determine 5*c(a) - 6*v(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -58. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*i - 11, -5*v + 2*i - 6*i = -65. Is 8 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 4. Let h be w(-3). Suppose -7 + 57 = -q + 4*j, -5*j + 71 = 3*q. Which is the closest to 1\/5? (a) q (b) h (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.02258 to two dps.\nAnswer: 117.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-9\/4)\/s))**(18\/5)*(s**(-1\/6))**(6\/5) assuming s is positive.\nAnswer: s**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4021 (base 13) to base 15.\nAnswer: -292a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 983, 1604, 2601, 3944, 5603, 7548, 9749?\nAnswer: 12176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72802940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -5093?\nAnswer: -2\/5093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 3 = 5*r. Let m = -3 + r. What is the units digit of 6*((0 - m) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63373 and 86741?\nAnswer: 43283759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4842*j - 246*j - 3 + 115*j as i*j + c and give i.\nAnswer: 4711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239*u + 22 - 3 + 18 + 36*u**2 - 237*u)*(2 - 2 + 4*u).\nAnswer: 144*u**3 + 8*u**2 + 148*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0294 in 0, -2, 0.4, -21\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.71 + -2.7. Let k = 22.009 + -0.009. Let q = 22 - k. Which is the biggest value? (a) -0.2 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 121*y + 4. Let n(s) = -483*s - 16. Let l(o) = -2*n(o) - 9*z(o). Let c be l(1). Let u = c + 223. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + (6 - 5))\/(0 - 1). Suppose -2*j = -5*j. Put -1, f, j in descending order.\nAnswer: j, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.08762915 rounded to 4 dps?\nAnswer: 8.0876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11146 + -7431. What are the prime factors of w?\nAnswer: 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*c = -5, 4*g + 15 = g - c. Suppose 15 + 3 = -2*q. Let j = g - q. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*y + 6 = 132*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11100 (base 2) to base 13\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + 6 - 63\/15.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -166.374 (c) 19\/62 (d) 1\/4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 2*c**4 - 2*c**4 + (-2*c**4 + c**3 - c**3)*(4 - 2 - 1).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142 or -391657?\nAnswer: -391657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2552)\/(-77) + 4 - 26)\/(4\/14).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -9027957.\nAnswer: -45139785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 4412*a + 342330. What is m(79)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427905?\nAnswer: 3, 5, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/17)\/o*o**(-3)\/o)\/(o**(1\/4))**(-46) assuming o is positive.\nAnswer: o**(223\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 6\/(-11 - -5)*-773. Let b = l - 230. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*q - 6. Solve 0 = q*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**5 + 495*t**4 + 5785*t**3 - 14095*t**2 - 5790*t + 13600 = 0.\nAnswer: -85, -16, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 21*p. Let a(h) = 35. Let k(m) = 2*m - 161. Let d(i) = -5*a(i) - k(i). What is d(s(t))?\nAnswer: -42*t - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/12 - 2*b**2. Let t(o) be the second derivative of -o**4\/6 + 27*o. Calculate z(t(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, 3\/8, 0, 1\/6, -6, 0.4 in decreasing order.\nAnswer: 3.5, 0.4, 3\/8, 1\/6, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2855 - -4433. Is g at most 1578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c + 2048 = 9*c. Suppose -3*h - 85 = -430. Let t be (h\/2)\/(8\/c)*50. Round t to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 7, 2, -3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12627241 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4977 * 1\nAnswer: -4977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 20*i**2 + 132*i + 112. Let t(p) = -p**2. Let a(m) = 12*m**2 + 53*m + 45. Let q(k) = a(k) + 4*t(k). Let g(n) = -5*h(n) + 12*q(n). Factor g(b).\nAnswer: -4*(b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 e when four letters picked without replacement from {e: 14, q: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1110011111 (base 2) to base 6\nAnswer: -4143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.375434 to zero decimal places.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -2 + (-6465)\/21. Let w = 310 + a. Which is greater: 2\/11 or w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8576485315710*i + 0*i**3 + 3*i**3 + 8576485315710*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2279*z + 1781*z + 626*z - 492*z + 1297*z to y + d*z and give d.\nAnswer: 5491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 2153?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 20. Let w(y) = 1. Calculate -p(j) + 2*w(j).\nAnswer: 2*j - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 200220102 (base 3) to base 9\nAnswer: 20812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3495945 is divided by 450?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 2, k: 1, v: 1, u: 2}. Give prob of sequence uvq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -185 + -392. Which is greater: c or -578?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -305*w - 1509. Calculate v(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13.81, -1\/3, 0.6, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -1.6, 5, 0.07, 0.01 in decreasing order.\nAnswer: 10, 5, 4, 0.07, 0.01, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*u - 1156494, -3*u + 4 + 2 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 12:26 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:25 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*a - 14 = 3*a, 10 = -2*s - 4*a. Let b be (-1 - -4) + s\/(-2)*2. Suppose -5*f - 10 = b, 2 = -7*o + 2*o - f. Solve o*y + 15 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17407554 is divided by 708.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let p(w) = 12*w - 5. Let k(f) = 1. Let t(z) = -5*k(z) - p(z). Calculate j(t(s)).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08000933 and 0.28.\nAnswer: 0.36000933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1640*g**3 + 1850*g**3 + 2959*g**3.\nAnswer: 3169*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 8*d**2 - 12*d - 83. Determine r(-7).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 - (-1 - -4 - 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 4*s + 1. Let y(g) = 3*g - 6. Let o be y(6). Let j = o - 16. What is b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/(-18)*12\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 - 191*h + 90. Let y be v(-39). Let g = y - -265\/4. Which is the third smallest value? (a) 3 (b) -0.17 (c) 1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.245779ng to tonnes.\nAnswer: 0.000000000000003245779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**28\/z))\/(z\/(z\/(z**(-16)\/z))))**(-2\/5))**22 assuming z is positive.\nAnswer: z**(396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide (22\/(-154) - 8\/(-14)) + 35417\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2821412*l**3*w - 1331*l**3 + 2*l*w + 2235*l - 8*w + 2 wrt w.\nAnswer: -2821412*l**3 + 2*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 301222 (base 5) to base 8\nAnswer: 22532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-1*6\/(-36)*-15. Let d(t) = 3*t - 11. Let b(m) = -6*m + 23. Let a(z) = w*d(z) - 2*b(z). Let n(v) = 3*v. What is a(n(q))?\nAnswer: -9*q + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 14) to base 2.\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2578*l**5 + 20*l**2 + 3 wrt l?\nAnswer: -154680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832 - 5210 = 19*i. Is (i\/5)\/((-153)\/2040) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 10:27 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + p - 40 = 0, -1054*g + 4 = -1056*g - 5*p for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*a = -10, -3*a - 8 - 2 = -5*x. Solve 0 = -h + 2*l - 1, -h + 3 = l - x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72751, 145536, 218321, 291106, 363891, 436676?\nAnswer: 509461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/120 + 11*a**5\/60 + 11*a**4\/24 + 11*a**3\/3 + 11*a**2. Suppose 12*t + 63 = 5*t. Is 7 a factor of o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 1. Solve 1 = -q*d + 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 78 = -3*v, 2*f + v - 83 = -5. Let a(s) = -s**3 - 4*s**2 - 3*s + 1. Let z be a(-4). Calculate the greatest common divisor of f and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (323 - 1026 + 236 - 839)*(5*a**3 + 2*a**3 + 2*a**3) in the form m*a**2 + q*a**3 + p + g*a and give q.\nAnswer: -11754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7\/6 (b) 2 (c) 0 (d) 3799 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*l**2 + 2*l**3 + 2*l**2)*(l + 4*l - 4*l) + 0*l**4 - 13*l**4 + 50*l**4)*(-4 - 5 + 10) as o*l**3 + x*l**2 + q*l**4 + m + k*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjkpcfpkckccck. What is prob of picking 1 j and 2 p?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 5, x: 2, o: 9}. What is prob of picking 2 t?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*t - 156, 0 = -4*t - 54*r + 59*r + 161. Let q = 257 - 53. Calculate the highest common divisor of t and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -794908.9 to the nearest 1000.\nAnswer: -795000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1621*q - 6352. Calculate y(4).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -9*g**2 + 5. Let c(r) = -9*r**2 + 4. Let f(z) = 2*c(z) - 3*p(z). Let l(v) = -4*v**2 + 4. Let h(b) = 3*f(b) + 7*l(b). Differentiate h(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9312 and 33659?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, q: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1742 and 15831832?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 715 + -712. Let b be g\/(-5) + (-9729)\/(-115). Calculate the greatest common divisor of b and 714.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -38. Let b = -10\/13 + 17\/39. What is the nearest to b in 1, q, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*u + 16, 2*u - 4 + 8 = -3*o. Let z be (1 - -3)*o\/8. Is 15 + 3\/(3\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1513320 (base 7) to base 15\nAnswer: 40c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7383 - 1003?\nAnswer: -8386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {t: 6, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 + 4*g**2 - 3*g - 10. Let c(f) = -f**3 + f**2 + f + 1. Let v(d) = -3*c(d) + o(d). Let k be v(-2). Which is bigger: -2\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/24 and 133\/162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1557 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 5:01 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250860 and 10396.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 29 - 137. Calculate the greatest common divisor of o and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1348 + 50. Let i = s - -9066\/7. Find the common denominator of 121\/6 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -6) + (-120)\/24. Suppose 2*m - 5 = -1. Suppose 5*w = m*b - 183, -4*b = w + z*w - 436. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + (18 + -10 - 12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(200) + sqrt(200) - (-4 + sqrt(200)*-1))*-5 - (-6*(sqrt(200) + -3) - (-3*sqrt(200) + -2)))**2.\nAnswer: 5100*sqrt(2) + 58025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + 1 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.001.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/4*2\/2*-92?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(468) + -1)**2*4 + (sqrt(468)*-1*-5 + sqrt(468)*1*-4)**2)*2 + 4.\nAnswer: -96*sqrt(13) + 4694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11108*q + 211148. Calculate j(19).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2874)\/10059)\/((-1)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136056978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*d**2 + 4 + 1 + 3*d**4 + d + 43*d**2 + d**3 - 147*d**2 to the form t*d + m*d**4 + f + n*d**2 + k*d**3 and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33474 and 994?\nAnswer: 2376654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*k*s**3 - 3*k*s**2 - 158*k + 11*s**3 + s**2 - 30*s + 1 wrt s?\nAnswer: 468*k*s - 6*k + 66*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u + 6*u + 2*u + u - u + (-35 + 16 + 74)*(u + u - 3*u) + 2*u + 0*u + 0*u.\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265*g**2 - 1264*g - 6581341 wrt g?\nAnswer: -530*g - 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/901 + 3634\/4505. Which is the fifth biggest value? (a) -10 (b) n (c) -4\/3 (d) -1\/10 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156801357, -156801352, -156801347, -156801342, -156801337, -156801332?\nAnswer: -156801327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)\/r*r**(-2\/63)*(r**(-6)*r)\/r**(-14) assuming r is positive.\nAnswer: r**(61\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 212236, 212238, 212242, 212248?\n\"Answer: s**2 - s + 212236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 11bb3?\nAnswer: -11bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**4*h)\/h))**(3\/44))**(-23) assuming h is positive.\nAnswer: h**(207\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 + 35*y**2 + 2*y + 23. Give r(10).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -36*w - 3633. Let k be j(-101). Factor 10 - 25\/2*b**k + 20*b - 35\/2*b**2.\nAnswer: -5*(b - 1)*(b + 2)*(5*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 4, i: 4, e: 2, o: 2, c: 7}. What is prob of picking 1 c and 1 j?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146861.\nAnswer: 11, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b. Suppose -5*m = 0, l - 2*m = -m + 4. Suppose 0 = 2*y - 7*y + 4*c + 4, -l*y - 4*c = -32. Suppose 0 = -x + 3*f - f + 7, f = y*x. What is h(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3722*f**2 + 6863*f**2 - 3395*f**2)*((1 - 4 + 1)*(-3 + 1 - 2) - 2 - 2 + 5) in the form h + k*f**2 + s*f and give k.\nAnswer: -2286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3\/6 + 140*g. Let u(d) = 5*d**2 + 14*d + 37. Let b(c) = -l(c) + u(c). What is the derivative of b(v) wrt v?\nAnswer: 10*v + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1164263 + -133?\nAnswer: 1164130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let y(t) be the first derivative of 0*t + 1\/3*t**o + 0*t**2 + 1\/2*t**4 - 1. Find the third derivative of y(k) wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.01 (c) 269 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8535275998 plus 0.013?\nAnswer: -8535275997.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 25*g - 50. Let s(w) = -w**2 + 58*w - 23. Let b be s(58). Determine v(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320\/172953 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (293*k + 405*k - 622*k + 722*k)*(-3 + 3 + 1) to the form c*k + x and give c.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14758\/7379 + 4\/14 + (-60)\/14. Let t = 15 + -13. Which is the closest to d? (a) 0.02 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*x**3 + 74*x + 245 with respect to x.\nAnswer: -9*x**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 925*n + 9256. Determine k(-10).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-two fifths of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-372)\/(-370) + -1)*10\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/7775 and -117\/15550.\nAnswer: 15550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -0*v + 96*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n + 8 - 8 + (-2*n - 1 + 1)*(3 - 4 + 2).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21677.2 + 21678. Sort h, 22, 44 in decreasing order.\nAnswer: 44, 22, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:51 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (43 + -32) - -34.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.1953m to micrometers.\nAnswer: 105195300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2. Let c(i) = -125*i - 12. Let w(a) = -876*a - 81. Let u(f) = 27*c(f) - 4*w(f). Determine o(u(y)).\nAnswer: 16641*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 2*h. Let i(b) = 0*b + b**2 + 0*b**2 - b - 2*b**2. Let q(l) = c(l) - 4*i(l). Suppose q(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 201810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 45. Let t = 3 - x. Solve 3 = t*i - 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 43\/4 of a millimeter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 704*d - 33. Let b(m) = -42*m - 44. Let k(c) = -335*c - 375. Let w(r) = 17*b(r) - 2*k(r). Calculate -2*g(f) - 33*w(f).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34546 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = -485. Let u = 17 + k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 139, -1, 3\/4?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*y - 2)*(17 - 2 + 9)*(2*y**2 - 1 + 1).\nAnswer: -96*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290059.\nAnswer: 7, 11, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(28)\/sqrt(7)) + (sqrt(48) - (sqrt(48) + sqrt(1728) + sqrt(48)))\/sqrt(3))\/(((-1*sqrt(1152) - sqrt(1152)) + (sqrt(8)*-2 - sqrt(8))*2)*-4).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 68 + 56. What is the common denominator of 2\/9 and ((-2)\/6)\/(4\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) 112\/17 (c) -5 (d) 17 (e) 21 (f) 0.3 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -42796 > -42775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*g - 80*g - g - 43*g.\nAnswer: -300*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**3 - 10*u**2 + 14*u + 16. Let q(s) = -6 + 2*s**3 - 18 + 15*s**2 + 5*s**3 - 21*s + 4*s**3. Let w(l) = -5*q(l) - 8*r(l). Give w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344 and 2150?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/49 - 53\/7. Let s(a) = a + 5. Let j be s(d). Let r(u) = -u. Let l be r(j). What is the smallest value in -2, l, 0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Let k(u) be the third derivative of 277*u**2 + 0*u**3 + 0*u - 7\/20*u**5 + 0 + 0*u**4. Determine k(d(w)).\nAnswer: -21*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/117 in 3, -1\/3, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -35 + 15 + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k**2 - 4*k**2 + 5*k**2 + 2)*(-4 + 4 - 2).\nAnswer: -18*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -321\/2 or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v - 35 - 22 = 0. Put v, -5, 18 in increasing order.\nAnswer: -5, v, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 - 2*u**2 + 1. Let j be a(2). Let r = 405 + -402. Let l = r + j. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d = 82*d - 7520. What is the lowest common multiple of d and 22?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 120, 0, 504, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -843.6 - 4907.\nAnswer: -5750.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 15. Let a(w) = -3*w**2 - 7*w + w**2 - 4 - w**2 + 2*w**2. Determine a(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 32, 0 in ascending order.\nAnswer: 0, 1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = v + 16. Suppose -v*h + 25 = 2*k, 7*k = 4*k. Solve -5*p = 5*y + h, -3*p = -3*y + 2*y + 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (15 + 9 - 15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10203.3 to the nearest one hundred.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2. Let f be (6 + -24)*12\/(-9). Let l(s) = 11 + 13 - f - 3*s**2. Calculate l(j(p)).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -7*m**4\/12 + 2*m + 2. Suppose 3 = -j + 5. Let a(n) = 9*n**j - 2*n**2 - 5*n**2. Determine f(a(u)).\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 49143*i**2 - 9*i\/4 - 442287.\nAnswer: (i - 3)*(i + 3)*(i + 196572)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1531.3 + 1695.3. What is the closest to 0 in -3, a, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(80) - sqrt(5)) + sqrt(425) + -1)**2.\nAnswer: -32*sqrt(17)\/3 + 4361\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(39)*-4 - sqrt(351)\/(sqrt(27)\/sqrt(3)))\/(sqrt(144)\/(sqrt(12)*-1 - sqrt(12))*-1))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 755022 and 3219?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25194 + 25234. Solve 12 = 2*c - 34*g + 33*g, -5*c + 5*g = -l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/4 + q**3\/2 - q**2. Let b be (3\/11)\/(261\/(-2871)). Determine s(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1045*i + 1081*i - 4896 = 0. Calculate the lowest common multiple of 4 and i.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (309\/12)\/(326\/1304) + -27?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 9. Let v be p(4). Let l = -131 - -919\/7. Sort v, l, -3.\nAnswer: v, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 39. Determine c(51).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 96 and 383\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9548 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 13*c**2 + 7*c + 181. Give s(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - ((-1 - -4) + -4). Let p(x) = 14*x**d - 13*x**2 + x - x. Let j(r) = -5*r - 3. Let o(b) = 5*b + 12. Let q(w) = 4*j(w) + o(w). Calculate p(q(s)).\nAnswer: 225*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**3\/3 - 6*u. Let a(s) = -s**2 - 5*s. Let t(c) = c**2 + 6*c. Let l(v) = -6*a(v) - 5*t(v). Calculate l(j(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiciiciiiii.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1946)\/417*2\/658?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 0.005\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1294.24 - -1294.2. Which is the biggest value? (a) -3 (b) -2\/13 (c) y (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27819121, 27819122, 27819123, 27819124, 27819125?\n\"Answer: v + 27819120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -1\/3*t**3 + 2 - 2*t + 3*t**2. Let l(z) = -z. Give -4*l(c) + v(c).\nAnswer: 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**5\/60 + x**4\/9 + 2*x**3\/9 + 20*x + 25. Let f(t) be the first derivative of o(t). Factor f(l).\nAnswer: l*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -6. Let j(g) = -g**3 - 5*g**2 + 3*g - 9. Let z be j(w). Let c = z - 33. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minus -383?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 16*y + 46. Determine o(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - o + 10, 2*x = 3*x - 5*o + 6. Suppose 1287 = 5*b + 4*b. Let t = b - 142. Solve x*n + t + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -8\/7*d**7 + 0*d**6 - 10*d**4 + 0*d**5 - 18*d - 6 + 0*d**3 + 0*d**2. What is the third derivative of z(c) wrt c?\nAnswer: -2880*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871.6564 hours to minutes.\nAnswer: 52299.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 4355852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-2*28)\/4. Let p(l) = 105 - l**2 + k*l - 105. What are the prime factors of p(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 72. Calculate the greatest common factor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 + 2*l + 10. Let b be u(-6). Sort -16, b, 5 in ascending order.\nAnswer: -16, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111233 - -34313?\nAnswer: -21420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o = 0. Suppose 3*u - 228 + 36 = o. Suppose 5*k + 10 = 0, 4*k - u = -4*p + 3*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 - r - 10. Let j(p) = -10*p**2 - p - 18. Let d(a) = 4*j(a) - 7*k(a). Give d(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let i be ((-2)\/(-6))\/(z\/12). Let a = 0 + i. Calculate the remainder when 1 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*k**2 + 30*k**2 + 26*k**2 + 25*k**2 + 20*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10359 - 8143. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -7\/6*o**3 + 7\/12*o**4 + 0 + 0*o - 1\/60*o**5 + 199*o**2. What is t(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/12 - k**3\/6 - k**2 - 7*k. Factor t(r).\nAnswer: (r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 3*h. Suppose a = -h*d - 2, -2 = -5*d - 2*a - 6. Let c be 7*((-30)\/35 - d). What is the nearest to -0.1 in c, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50602000 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39687 - 39691. Sort 2\/55, q, 1\/5, 1.\nAnswer: q, 2\/55, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -188, -1, 18?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -1 - (-147 + 0). Suppose -5*q + k = -0*q. Suppose 4*o + 0*o = 3*w - q, 4*w = -o + 7. Solve 0 = -g - w + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167.8 + -183. Let c = -15.19899 - h. Round c to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - q + 36 = 11, 3*l + 2*q - 40 = 0. Calculate the smallest common multiple of 28 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 5 (b) 1 (c) -3\/4 (d) 9\/943 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 79. Suppose 0 = v*h - 15, 0 = -3*o + h - 2 - 9. Suppose -2*f = i - 5, 4*i + 24 = 4*f - 16. Sort 0, i, o in decreasing order.\nAnswer: 0, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)*y**(-4\/3)*y)**(2\/89))**2)**1 assuming y is positive.\nAnswer: y**(-16\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-17200)*43)\/(3\/(-1005))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 + 119*n - 185. Let z be x(10). Solve -4*s = z*g + 3, 4*s + 4*g + 23 = 19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/3 - 84378676*f\/3 - 889970120439122\/3 = 0?\nAnswer: -21094669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*o + 2. Suppose 0 = b + 6*s - 15*s - 160, -2*s + 219 = 3*b. Sort 4, o, b in decreasing order.\nAnswer: b, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 15*i**3 - 14*i**2 + 11*i - 10. What are the prime factors of t(7)?\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 35. Let r be 1\/5 + 238\/o. Let d be r\/84 + 164\/14. Solve 4*k + 2*m + 11 = m, 5*k + 3*m + d = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 563*g**3 - 5*g**2 + 10*g - 10. Let h(x) = 1688*x**3 - 14*x**2 + 29*x - 29. Let z(n) = 6*h(n) - 17*m(n). What is the tens digit of z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(1008) - sqrt(1008)) + 2)*3)**2 + (-2 + sqrt(252) + (-1 + sqrt(252) + 2 - sqrt(252)))**2 + 5.\nAnswer: 420*sqrt(7) + 9366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 159*a**2 + 12 + 2*a + 24 - 4*a to c*a + g + o*a**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*d + 737, -142 = -d - u + 103. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(-3*-4*sqrt(119) - sqrt(119)))\/((sqrt(5082) - sqrt(5082)*-3)\/sqrt(6)).\nAnswer: 1 + 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5002 and -494.\nAnswer: 4508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1874?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -51*o**2 - 2*o + 1. Let w be q(1). Let r be (-6)\/(-21) - w\/14. Let a(s) = 2*s + s - r*s. Let b(c) = -6*c. Calculate b(a(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.485059 tonnes to micrograms.\nAnswer: 8485059000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 - u + 1. Let s be n(1). Let x be 6\/s*20\/(-15). What are the prime factors of x\/(-3) - (-472)\/6?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 2*(sqrt(432) + -1 - sqrt(27)) + -2)*5.\nAnswer: -360*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - f + 1029, 2*s - 5*f = s - 225. Let b = -205 - s. Solve -2*v + 4*v - 8 = b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 13*c + 8. Find the common denominator of ((-470)\/70)\/(-1 - 0) and p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9365819*w. Let r(o) = -o. Calculate r(y(j)).\nAnswer: 9365819*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 2241691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 0*k**3 + 2*k - k**3 - 2 + 2*k**3 + 0*k - 6*k**2. Calculate f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 840*m + 1680. What is z(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3336, 6674, 10012, 13350?\nAnswer: 16688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 20*z**3 + 66*z**2 - 6*z - 6. Let s(m) = -17*m**3 - 64*m**2 + 5*m + 5. What is 5*i(j) + 6*s(j)?\nAnswer: -2*j**3 - 54*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -38*g - 15. Let n(k) = -13*k**2 - 3*k + 3. Let i(f) = 17*f**2 + 4*f - 4. Let j(u) = 3*i(u) + 4*n(u). What is c(j(z))?\nAnswer: 38*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65024769, -260099053, -585222859, -1040396187, -1625619037, -2340891409?\nAnswer: -3186213303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116674?\nAnswer: 2, 58337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*f + 29*f - 40. Let u(b) be the first derivative of -b**4\/12 - 5*b**3\/6 - b**2\/2 + b - 1. Let i(m) be the first derivative of u(m). What is i(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1185, 1189, 1193, 1197, 1201, 1205?\n\"Answer: 4*h + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**4 - 435923*o**3 + 908211*o**2 - 508605*o + 36329 = 0. Calculate o.\nAnswer: -36329, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/24 + 29\/120. Let m be (-4)\/(-12) - (-14)\/12. Which is the smallest value? (a) y (b) m (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/15 + s**4\/12 - s**3\/3 - 81*s**2 - 2*s + 50. Let i(z) be the second derivative of c(z). Calculate i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7950)\/(-75))\/(-1908)*((-45)\/6)\/(3\/(-3)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and 1\/(-332*16\/2080).\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-3)\/9*1*-42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -4. What is the nearest to -1 in t, 4\/7, 0.08?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12627*a*k*q - 2*a*q**3 - 4*k*q**3 - 2*k*q**2 - 118*k*q - 2*q**3 with respect to a.\nAnswer: 12627*k*q - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 6, -5 in decreasing order.\nAnswer: 6, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, e: 1, r: 1, j: 2, c: 1}. What is prob of picking 1 j and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 691 - 601. Let a = k - -814. What are the prime factors of a?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, -5, -7, -9?\n\"Answer: -2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 102*i**3 - 103*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -473, 2\/3, -38?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygz when three letters picked without replacement from ygyziryrgzyyygyrro?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 8*w**2 + 17*w + 7. What is the remainder when 112 is divided by a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 30*v - 179. Determine q(24).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/3))**44\/(i**1)**(-28))**(-2\/13))**(-40) assuming i is positive.\nAnswer: i**(3200\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1301 + -16.439?\nAnswer: -18.5691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyo when three letters picked without replacement from pxpxyyyyvox?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 441 = o - t, 3*t - 3 = 0. Let s = o + -107. Which is smaller: s or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7668, 4 in descending order.\nAnswer: 7668, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 123603659 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*q - 12 = -3*q, 3*r = 5*q - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/120 + t**5\/60 + t**3\/6 - 10*t**2. Determine h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/35 + 11\/15. Let v = 183 - 184. Which is the closest to v? (a) 2\/7 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1478240.\nAnswer: 147824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 11:12 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 + 8*a**2 - 239*a + 10. Is c(11) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3864 + -2749. Find the common denominator of (4 - r\/90) + 2 and 57\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11386*z - 4318. Let r(p) = -2847*p + 1075. Let k(a) = 2*b(a) + 9*r(a). Differentiate k(q) with respect to q.\nAnswer: -2851","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/55510 and -99\/52.\nAnswer: 111020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(-6*sqrt(36)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 5\/12*z**3 - 17*z**2 + 5\/32*z**4 + 0*z + 1\/48*z**5 + 0. Factor h(g).\nAnswer: 5*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7256 + -57959\/8. Let h = -444\/29 + 3978\/203. What is the common denominator of i and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2 - 235871*y + 11324112 = 0.\nAnswer: -235919, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00114341 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/35*(-5)\/(-2). Solve 0 = n*x - 9 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-14) + (-2300)\/56*-2. What is the greatest common divisor of 415 and k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201316 divided by 1154\nAnswer: 100658\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/22*(262548\/(-4950) - -53)?\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(123\/410)\/((-3)\/(-5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/30 - x**2. Suppose -4 = -3*a + 14. Let q(l) = -a*l - 3*l + 3*l - 4*l. Determine w(q(z)).\nAnswer: -200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 46*o + 3221. What is a(-64)?\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3\/2 - 3315*n**2 + 1808112*n + 25967424 = 0.\nAnswer: -14, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from izzza.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 324 - 10*t - 337 + 3*t**2. Let f be v(-8). What is the closest to f in 0.02, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 10 - (2 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 3*y**2 + 6*y - 527. Let u(h) = -2*h**2. Determine k(u(o)).\nAnswer: -12*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 548 - 544. Let d = -1 + 2. Solve -c + k = d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 16*i**2 - 2 - 6.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/845835 and -53\/170.\nAnswer: 1691670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1227 - 1.1227. What is the third smallest value in v, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 9)*4\/(-12). Let c = 3 - w. Let o(f) = -f**2 + f + 10. What is o(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 4. Let o be 24\/(-9) - (-2)\/3. Let w be a(o). Suppose -4*j**4 + 8*j**2 - 6*j**2 - j**w - 5 + 8*j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -52, -5, 0, 4, -4 in descending order.\nAnswer: 75, 4, 0, -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 = -z. Suppose -o + 7 = z. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/60 - o**2. Let b(q) = 7*q + 6. Let x(u) = 0 - 1 - 3 - 7 - 13*u. Let h(p) = -11*b(p) - 6*x(p). What is v(h(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/12)*k\/((k**3*k)\/k))**(-2\/61) assuming k is positive.\nAnswer: k**(25\/366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 24 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -325 greater than or equal to -131772\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 115 = 5*j, 4*j = 2*w - j - 40. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 49 = 2*z, -5*m + 142 = -2*m - z. Suppose 49*o = m*o + 4. Let x = 312 - 1552\/5. Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 9*n + 9. What is the remainder when 78 is divided by z(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -25, -3, 0, 995 in ascending order.\nAnswer: -25, -3, 0, 24, 995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 8.5.\nAnswer: -0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 + 44*d**4 + 100*d**3 + 52*d**2 = 0. Calculate d.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 19. Let q = u + 1. Sort 1\/2, q, -4\/5.\nAnswer: q, -4\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Let r = g + -8. Let k = 2 + -1. What is the closest to 1 in k, r, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 64 + 2*a**3 - 28 + 45.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -136340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 961529742 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148855 and 26705.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*34279228.\nAnswer: -6513053.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16400 = -309*i - 19490 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(99)\/(sqrt(55)\/sqrt(5))))**2 + (sqrt(10)\/(sqrt(2) + 1*sqrt(8)\/sqrt(4)))**2.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h = 0. Let x be 3 - (-12 - (h - -3)). What is the second derivative of -18 + o**4 + x + o wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 6:15 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -15.77, 65.\nAnswer: -15.77, 2\/7, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + p - p. Suppose 0 = 4*j - 5 - 7. Let c(g) = j - 2*g**2 - 3. Give c(k(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 10) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49037.\nAnswer: 49037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5*g + 15, -7*w = -9*w + 5*g - 1. Let y = -10 - -25. Let d be (w\/(36\/y))\/((-2)\/(-12)). Solve 0 = -2*k + s + 2, -4*k - d*s + 28 = -4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-7)*q)\/((q**(2\/9)\/q)\/q)*(q**(4\/5)\/q*q)\/(q*q**(-8\/7)*q))**(6\/11))**35 assuming q is positive.\nAnswer: q**(-2696\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let t be d(4). What is the common denominator of 47\/16 and (117\/(-20) - t)\/1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623263769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -5*y**4\/12 - 10*y**3 - 55*y**2\/2 - 61*y + 2. Factor h(a).\nAnswer: -5*(a + 1)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/4*-2)\/1. Let m = k + 38. Suppose 0 = 5*c + 25, 0 = -0*a + 2*a - 3*c - m. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -560\/3519003 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j + 3. Let c(z) be the third derivative of 13\/24*z**4 + 9*z**2 + 0 + 13\/6*z**3 + 0*z. Give -4*c(l) + 18*t(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 23*f - 2. Determine x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 + 4)) + -173 + 167.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23034?\nAnswer: 2, 3, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84746133.\nAnswer: 3, 9416237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -3*d + 3*m, 155 = -4*d - 46*m + 51*m + 305 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1355 (c) -31689\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1313198 - 1312799 = 57*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2369 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 + 18. Determine s(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 17*j**2\/4 + 1195437*j\/4 - 52740 = 0.\nAnswer: -70320, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 444 + -441. Solve 0*g - 6 = -2*g - 5*f, 3*g = -c*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**5\/20 + k**4\/16 - k**3\/2 - k**2\/2 + 2*k - 19. Determine n so that i(n) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 0, 2*y + 30 = 5*y - 3*u. Suppose -9 = -4*i + i + 3*x, -2*i = x - y. Let h = i - 6. Solve 0 = 4*r - h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 162, 380, 596, 810, 1022?\n\"Answer: -v**2 + 221*v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5.1. Let x = j + 1.9. Let r = 1 - x. Sort 5, r, 3 in decreasing order.\nAnswer: 5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i = 2*o - 180, 4*o + 5*i = 382. What is the highest common divisor of o and 34875?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2788*s**2. Let h(m) = 2*m**2. Give h(r(u)).\nAnswer: 15545888*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 + -4. Let a(o) = 3 + 5*o**2 + o - 4*o**2 + 0. Let k be a(0). Sort k, p, -0.5.\nAnswer: -0.5, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 248?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 183741 to the nearest 1000.\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.1971, 2, -6\/145?\nAnswer: -0.1971","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 2 + -1 + 4. Suppose 0*m = i*m + 10. Which is the closest to 0? (a) 5 (b) -2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:52 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.3, -7, -2\/19, -2\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142122771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*n + 2*x, 3*x + 8 = -3*n + 23. Suppose 4*k - 27 = -6*u + 3*u, -3 = -k - n*u. Let b = k - 9. Solve -3*z = -b*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37536 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(20)\/sqrt(4)*-4).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 3:36 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130885 and 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*k**2 + 208*k**2 + 2 - 8 + k - 5*k**3 + 11*k**3 to m*k**3 + a*k**2 + o + n*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6.887 + -330242893\nAnswer: -330242886.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -5 + 3 + 1\/1. Suppose 4*m - 2*c - 19847 = 14013, 5*m - 42325 = -f*c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 16*g**2 + 11*g + 14. Let n(j) = -3*j**2 - 2*j - 3. Let i(l) = -4*h(l) - 22*n(l). What is the derivative of i(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(11 + -1). Let v(t) = 9*t**3 - 2*t**2 - 7*t - 5. Let h(y) = -6*y**2 + 14*y**3 - 2 - 7 + 1 + 3*y**2 - 11*y. Give g*h(p) - 8*v(p).\nAnswer: -2*p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/25)\/o*o**9*o**(-3\/7)\/o**18)**(19\/4) assuming o is positive.\nAnswer: o**(-34941\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 147.11801?\nAnswer: 735.59005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a4819 (base 11) to base 8.\nAnswer: 2331743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -1, -109, 85?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -5, -1, -31, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5746, -5807, -5870, -5935, -6002, -6071?\n\"Answer: -h**2 - 58*h - 5687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 14 = -p, -3*p + 4*y = 5*y - 26. Let q be 0\/(-1) + -2 + 5. Suppose 18 = q*o - 24. Calculate the remainder when o is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 488384*l**3 - l**2 - 321141?\nAnswer: 2930304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 16*n**2 + 17*n + 8. Let y be t(-17). Calculate the highest common factor of y and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1471356 (base 9) to base 2\nAnswer: 11000110110111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 52*u**7\/21 - 89*u**3\/6 - u**2 + 2*u + 228. What is the second derivative of h(v) wrt v?\nAnswer: 2080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210 + -310. Let i = v + 99. What is the nearest to -0.03 in 2\/9, i, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - 0 - (-1)\/(3\/99).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878.\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -334, -5, 412?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 51, 69, 87, 105?\n\"Answer: 18*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2886 divided by -2597.\nAnswer: 2886\/2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/14 and 19\/1184.\nAnswer: 8288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -15130131.9 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbls. Give prob of picking 1 w and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -118.07231157352.\nAnswer: -117.67231157352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23071, 13367, -2807, -25451, -54565, -90149, -132203?\nAnswer: -180727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.930468 + 0.069532. Let n = -4.8 - -5. Put -1\/2, f, n in decreasing order.\nAnswer: f, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3047 is divided by 500?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x*y**3 - 47*x*y**2 - 227*x*y + 58149*y**3 wrt x.\nAnswer: 2*y**3 - 47*y**2 - 227*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9476.\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-5 - (-1 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28796 divided by 4.\nAnswer: 7199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -778, -1546, -2306, -3058?\nAnswer: -3802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*i - 580*i + 5*i**3 + 291*i.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 4. Let y be 14\/5 + 1\/5. Let z be j(y). Let i be (3 + -3)\/((-4)\/z). Solve i*s - 2*s + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*u**3*v**3 - 6*u**3*v**2 + 2*u**3*v - 13680*u**3 + 914*u**2*v**3 + 2*v**2 wrt v?\nAnswer: 762*u**3 + 5484*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -13, 320, 4, -5 in decreasing order.\nAnswer: 320, 9, 4, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((48\/(-1566))\/((-128)\/192)) + (-2)\/4\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2752?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10110010100100100?\nAnswer: -10110010100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85292145 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((-21)\/(-9)). Let x = 5\/14 + p. Suppose 0 = l - 5*l + 4. Is l less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855428 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 8*w - 158. Determine z(9).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - m + 12792 - 12684 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/(-147) + 15\/(-63). Which is the nearest to n? (a) 2 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 3*p**2 + 3*p**2 - 3*p**2 + 0*p**2 + p**2 + (-3*p + 3*p - p)*(p + 0*p + 2*p) + 2*p**2 + 5*p**2 - 5*p**2)*(3*p**3 - 6*p**3 + 2*p**3).\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - 13*q. Let j(u) = -2*u**2 + 36*u - u**2 + 3*u**2 - 32*u + u**2. Determine 2*c(i) + 7*j(i).\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.4319 - 0.5856. Let r = -8 - u. Round r to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.95141 weeks in seconds?\nAnswer: 4204212.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.63065l in millilitres?\nAnswer: 51630.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -289\/4. Which is the nearest to -0.1? (a) 2\/17 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.817948 decades to millennia.\nAnswer: 0.03817948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7250 - -32650. What is v rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6724839*u**2. Let y(s) = 6*s**2. Give h(y(d)).\nAnswer: -242094204*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 5349377 and 37445648\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 238\/102*(45\/(-210))\/(3\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 36. Let s(z) = 0*z - z + 6*z - 18 - 4*z. Let v(t) = -3*b(t) + 5*s(t). Let p be v(8). What is the highest common divisor of p and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10101*j**5 - 9*j - 11049*j**5 - 7 - 8 - 8 wrt j?\nAnswer: -18960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 2*f - f**2 + f**3 + 2*f**3 as v*f**3 + t*f**2 + d + h*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**3 - 7*k**2 - 6*k + 4. Let y = 20704 - 20721. Let h(f) = 23*f**3 - 21*f**2 - 17*f + 11. Determine y*u(b) + 6*h(b).\nAnswer: 2*b**3 - 7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 290*y + 3301. What is u(-301)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -229*r + 1389. Let i be b(6). Solve 49 = -16*x - i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.3, 188, 110, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b06 + -d81?\nAnswer: 4b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:51 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700238?\nAnswer: 2, 7, 11, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -2, 0, 4, 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 739483\/26 + -28441. Find the common denominator of 93\/1820 and b.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 24*s**2 - 15*s. Let l = -255 + 256. Let i(q) = q**2 - q. Give l*w(c) - 15*i(c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2 - 10*m - 7.\nAnswer: 2*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.34 or 5630243\/6?\nAnswer: 5630243\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53\/5 - -11. Let l = -0.4 + 0.3. Which is the biggest value? (a) -0.2 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -552*(104\/(-17) - (-4)\/34).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3 (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4284\/19 - 55730\/247. Which is the closest to -0.19? (a) 10 (b) h (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106898 is divided by 53442?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -12, -19, -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d - 67. Let v be y(7). Solve -6 = -v*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-272)\/51 - (-2)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(4 + -2)*-2. Let u(l) = 7 - v*l - 2*l + 5*l. What is the units digit of u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x + 8. What are the prime factors of j(5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2094 is divided by 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1204 + 841. Let h = t + 512. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8343970 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 4. What is the smallest common multiple of 16 and u(-8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/((t*t**(-3\/7)\/t)\/t)*t))\/(t*t**15))**(-40))**(-10))**(-39) assuming t is positive.\nAnswer: t**(2012400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 8. Let d be k(6). Let p be 3\/d*-4 + 119. Suppose 0 = 3*c - 2*c - p. List the prime factors of c.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (4 - 4))\/(-2) + 4. Suppose -4*k + 2*j + 36 = 0, -4*k = -5*j + l*j - 34. What is the third smallest value in 0.12, k, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-138))\/((-7)\/(-84)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d**3*u - 743187*d**3 - 8*d**2*u - 2*d**2 - 8863*d*u - 2*d - 2*u + 6 wrt u?\nAnswer: 4*d**3 - 8*d**2 - 8863*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -76.8 (b) 1\/2 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/21, -1\/131, -1?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1016 + -4)\/34 + 77\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -2425362731.6?\nAnswer: 2425362731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -11. Suppose j = -134*w + 136*w - 9, -j - w = 0. Put j, k, 0.4 in descending order.\nAnswer: 0.4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.17110366 rounded to one dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7079087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -160 - -161. Sort g, -3, -8, -5 in ascending order.\nAnswer: -8, -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -3*d + 2 - 45, 6687*v - 6689*v - 4 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**3 - 16*n**2 + 23*n + 223. Calculate q(5).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1343, 2686, 4029, 5372, 6715, 8058?\n\"Answer: 1343*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = s - 5, 5*y - 4*s = 7. Let n be 17\/3 + 4\/(-6). Suppose 4*t + 107 = n*p, 0 = 2*p - p + y*t - 10. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742391.1 rounded to the nearest 10000?\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -223 + 224 - (-5 + (-3 - -11) - (-30 + 2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11904152 to the power of 1\/2, to the nearest integer?\nAnswer: 3450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 27180141000 to the nearest one million.\nAnswer: 27180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/8*2\/(-54)*3188\/(-8767)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -55. Which is the third smallest value? (a) -2\/11 (b) -0.3 (c) 100 (d) f (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379.7 + 0.4.\nAnswer: -379.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11066, -12295, -35658, -59023, -82390?\nAnswer: -105759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 0.5 (b) 1\/3 (c) 0.1 (d) 10\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 185\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77293 is divided by 3213.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -5 - -9) + -3. Suppose 26*r - 36*r + 670 = 0. Let m = -67 + r. Solve -3*q + i = -m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1294, -2581, -3868, -5155?\nAnswer: -6442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -7384958, -1 in ascending order.\nAnswer: -7384958, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*10\/(-3)*(-150)\/125\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l = 15. Let x = 2 - l. Suppose g + x*g = 294. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1127?\nAnswer: -1127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*j - 4, 9*d - 22 = 5*j + 6*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (4 - -3) - -7) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*1\/6*-6. Let f be 92\/(-184)*(3 + (-125)\/(-1)). Is f bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*((sqrt(432) + 4 + 5)*-5 + -2) + 1.\nAnswer: 282 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*33\/(-6)*4. Let p(g) = -34*g + 1. Let c be p(1). Let l = m - c. Calculate the remainder when 21 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.44792l?\nAnswer: 55447.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32648, 63513, 94378, 125243?\nAnswer: 156108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169*h**2*r**2 + 13*h**2*r*t + h**2*t + 1558*h**2 + 2*h*r*t - h*t - 20*h wrt r.\nAnswer: 338*h**2*r + 13*h**2*t + 2*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56548.39ug in tonnes?\nAnswer: 0.00000005654839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*y**3 + 1 - 1 - 3*y**3 + 20*y**3.\nAnswer: -90*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*x + 38*x - 73*x)*(-28 - 4 + 8*x + 30) as b*x**2 + r + o*x and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4 + o**2 + 0*o**2 + 5 - 6. Let m be a(3). Suppose 4*g - 5*r - 503 = -0*r, g - r = 127. What is the greatest common divisor of m and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*(-6)\/27)\/((-6)\/269397) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z - 3*z. Let i(k) = -6*k - 36. Let w be i(-7). Is (-4)\/z + 447\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*t - 243 - 156 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.62044ug?\nAnswer: 0.00000462044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21393.\nAnswer: 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 187*t - 189*t + 9.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 4*l**2 - 90*l**3.\nAnswer: -90*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*l - 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2037918885?\nAnswer: 3, 5, 29, 89, 52639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2645194, 2645198, 2645208, 2645224?\nAnswer: 2645246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 99 + 39 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 10. Let p be i(-10). Suppose 2*d - d = p. Let l = -39 + d. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1187616 and 2937?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6283845 and -68\/1755.\nAnswer: 81689985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 3*c**2 + 3*c**2)*(-13*c**2 - 8 + 10*c**2 - c**2 + c).\nAnswer: -8*c**4 + 2*c**3 - 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97413 - 280*p**2 + 97413.\nAnswer: -280*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 4:30 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(21)\/(sqrt(3) - (sqrt(3) + sqrt(3)*-3)))*6.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 60 = 18. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311876292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137759, 550983, 1239689, 2203877, 3443547?\nAnswer: 4958699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c*((c\/c**(-3\/5))\/c*c)\/c)\/c))\/c*c)\/c*c)**(-43))**14 assuming c is positive.\nAnswer: c**(-1204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 730670971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/3)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 25 (b) 70 (c) 0.1 (d) 3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/3 (c) 18\/1047371\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392535 and 697840.\nAnswer: 6280560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002 + -2211002000220?\nAnswer: -2211001212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 624 - 593.9. Let i = 29.8 - s. Let u = 1 - 1. What is the third smallest value in u, i, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/40, 12, -5, -128?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-12\/13)\/(g\/g**(-4\/3)*g*g) assuming g is positive.\nAnswer: g**(-205\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 41 - 5 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {p: 2, l: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -326\/10525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1118 + 1078 = -8*i. Factor 0 - 4\/9*s**3 - 4\/9*s**2 - 4\/3*s**i + 0*s + 20\/9*s**4.\nAnswer: -4*s**2*(s - 1)**2*(3*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142268*m**5 - 15*m**3 - 5590468*m**2?\nAnswer: 8536080*m**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22228 + 111154\/5. Determine v so that 24\/5 - 2\/5*v**3 - 32\/5*v + p*v**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*k - 25. Find the third derivative of 13*i**2 - k*i**2 + 33*i**3 + 20*i**2 - 10*i**3 wrt i.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 1. What is the remainder when t(-4) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.091\nAnswer: 0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46847, 93790, 140835, 188036, 235447, 283122, 331115, 379480?\n\"Answer: 9*u**3 - 3*u**2 + 46889*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w + 75. Let i be p(-6). Is 22\/7 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 38*w - 196. Let g be i(32). Put g, 1\/6, 0.5, 1.3 in ascending order.\nAnswer: g, 1\/6, 0.5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260584930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.7 (b) -2495\/2 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*n**5 - 37896*n**4 + 36083930*n**3 - 343110564*n**2 + 178468920*n + 128595600 = 0. Calculate n.\nAnswer: -2\/5, 1, 9, 1890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-119)\/(-140)*20*8\/(-20)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 84508*i - 1014672.\nAnswer: 4*(i - 21139)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 25. Let n = 603 + -580. Calculate the remainder when n is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/317805 and 27\/2930?\nAnswer: 186233730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941*r + 970*r + 19 - 19.\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpffcfzfcfzcfzpf. What is prob of sequence zzzp?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 12 = -4*k, -5*q + 30 = -5*k. What is the second derivative of -2*z + z**2 + q*z**2 + z wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.688546 millilitres?\nAnswer: 0.006688546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1190\/(-340))\/(7\/(-24))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -287, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(23\/(-184))\/(12\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 375\/13 - 29. Let m be (-2)\/(-4)*-1*2. Suppose 0 = 2*r - 4*g, 11*g - 2 = 10*g. Which is the third smallest value? (a) r (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9693730 and 13405?\nAnswer: 67856110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q - 180 = -35*q. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -695 (b) 2.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 9*f + 3*f + 140 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**24*x**(-9))**46)**43)**11 assuming x is positive.\nAnswer: x**326370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)*(-7 - -8). Suppose g = 2*t + 4*z + 4, -3*z = z + 8. Solve 5 = k + t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.87 - -15. Suppose v + 18 = 10*z, 0 = -z + 3*v + 15 + 10. Which is the third smallest value? (a) z (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/5 + (-4)\/(-32) + 117\/(-104)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)*k*k*k**(-4))\/((k**(-1)*k)\/k*k)**(1\/12) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-175)\/2*(12 + (-36)\/6). What is the common denominator of (7 - (5 + -1)) + v\/20 and -119\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 1 (c) -1 (d) -5\/46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4 + 61812*p**3 - 1050352*p**2 + 3891852*p + 5004018 = 0.\nAnswer: -1, 9, 30889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1659 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15992980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -1 - (-48 - (-73 + 24))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4432371 is divided by 1477437.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -355, -764, -1173, -1582, -1991?\n\"Answer: -409*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:36 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -712 - -713. Which is the nearest to z? (a) 39 (b) 0.2 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose 2*h - 4*h = -150. Suppose 5*a - h = -2*x, -z*a + 17 + 43 = x. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 i, and 1 q when four letters picked without replacement from {c: 4, b: 2, m: 4, i: 2, p: 1, q: 7}.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1855310691 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by -88?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2364 + 14329\/6. Let f(k) = k**3 - 4*k**2 + 3*k. Let y be f(2). What is the common denominator of b and 215\/10*(-2)\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 12 = n, -4*n + 17 = -2*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 0*n + n**2 + n**4 - 6*n**3 + 5*n**3 + n**4 to the form m + j*n + g*n**3 + c*n**4 + b*n**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9473.\nAnswer: 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 6 + 21*h - 20*h + 206 - 7*h - 206 - 7*h + 2*h + 4*h + (-2 + 2*h + 2)*(-2 + 0 + 1))*(-2*h**3 + h**4 + 2*h**3).\nAnswer: -9*h**5 - 19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/8*-4)\/60. Let d(p) be the second derivative of c*p**6 + 3\/8*p**2 + p - 3\/20*p**5 - 1\/2*p**3 + 3\/8*p**4 + 0. What is w in d(w) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 18 = -5*z + 3*z, -2*w - 56 = 5*z. Let j = z + 15. Solve j*t - 20 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36263*m*x**6 + 25*m*x**5 - 9*m*x**2 + m*x + 10*m - 2054*x wrt x?\nAnswer: -4351560*m*x**3 + 1500*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 2*k**2 + 8*k - 49. Let l be i(4). Let s be (676\/65)\/(3\/l). Calculate the greatest common factor of 598 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + x - 47. Determine a(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 11*x**2 + 34. Let p = 181 + -189. What is the tens digit of i(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (840\/(-50))\/14*(-4)\/(-8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)*z)\/z**(-1)*(z*z**(2\/9))**(17\/3) assuming z is positive.\nAnswer: z**(232\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 3. Let c(b) = b**3 + b**2 - b. Let n be c(0). Let q(s) = 9*s + n*s + 5 + s**2 - s. Give q(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 22*y + 19*y = -1131, 3*y = -2*s - 764. Let n = s + 676. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41676 is divided by 2975.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -14*l + 2*l. What are the prime factors of ((-620)\/3)\/(l\/9)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119.937*-5238\nAnswer: -628230.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -24, 0.4, -0.1, 2, -75, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141329*6.65.\nAnswer: -939837.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-15) - 6\/(-15). Suppose y - 432 = -3*y. Suppose -u*r - 2*p - 35 = -117, 5*r - y = 3*p. What is the highest common divisor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32230300 (base 4) to base 16\nAnswer: -eb30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 67335 and -38.\nAnswer: 67297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 4, -2, -21.\nAnswer: -21, -2, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155811.\nAnswer: 3, 167, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.97441 - 0.07501. Let p = -3.9 + m. Round p to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*t + 2*t + 16, -3*t - 4 = -5*q. Suppose -2*a + 2*b = -q, -2*a - 4 = 4*b - 12. Solve -5*z + 0*z = a*c + 6, -z + 15 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879399?\nAnswer: 3, 97711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 83*-2\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0*y - 5\/2*y**3 - 104*y**2 - 7\/12*y**4 + 1\/60*y**5 + 0. Calculate n(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/585506601 or -1?\nAnswer: -2\/585506601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3371\/2899 - 2\/223. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 9 = 0. Suppose 3*a = -9 + w, 4*a = -5*c - 18. Let v = 4 + c. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - 7*8\/28\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 74*g - 2782. Give b(39).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 119318 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186466?\nAnswer: 2, 7, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k + 2*r + 5 = 0, 0 = 2*k + 5*r - 31. Solve 21 = 2*o + 3*y + 2, k*o - 21 = -2*y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 - 20\/(2240\/(-744)) and 22\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, t: 4, p: 5, f: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {u: 3, n: 6, w: 3, r: 5, i: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.2, 13, -1\/4, 5\/3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101011011001001 - 10010?\nAnswer: 101101011010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/1797 and -13\/86855.\nAnswer: 260565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1)\/(-6) + (-29710)\/60. Let t be (-6)\/(-4) + -2 - g\/(-18). Let n = 30 + t. Let i(h) = -3*h + 3. Calculate i(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -10837*j**3\/3 - 3241*j**2 + 13571. Find the second derivative of l(x) wrt x.\nAnswer: -21674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.71 times 1176?\nAnswer: 212514.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/180 - (432\/10)\/(-3). Solve 0*w + p*w = 70 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 - 97*f + 38. Let x be o(19). Factor -2\/5*b**2 - 2*b + x.\nAnswer: -2*b*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126389 divided by -13?\nAnswer: 126389\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20551979 and 35?\nAnswer: 102759895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 15 - 27. Let z(g) = g**3 + 4*g**2 - 12*g - 4. Let t be z(o). Let i be (-22)\/(5*t\/(-10)) - 2. Sort -5, -4, i.\nAnswer: i, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2153064 smaller than -2153064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let w(x) = x + 7. Let y be w(-3). Suppose -3*r - y = -r. What is the smallest value in r, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 7032.\nAnswer: 7041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.013 * -0.3.\nAnswer: -0.3039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4)*(4 + 16). Let f = b - -9. What is the remainder when (-1 - 3*-1) + 37 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(-5)\/(-140) + ((-141)\/(-21) - 4). Let s(t) be the third derivative of 0 + 1\/120*t**6 + 0*t + 2\/15*t**5 + 3*t**2 + 7\/24*t**4 + t**g. Give s(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-10) - 435\/(-75). Let k be (6\/4)\/((-2)\/(-4)). Suppose k*r = -p + 18. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51073, -51056, -51039, -51022, -51005?\nAnswer: -50988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31 + 1)*(-6)\/9. Let z = 20 - n. Suppose 0 = -3*d - 4*p + 10, -p + 11 = d + 4*d. Solve -4*x = -9*x - 4*c - d, z = x + c + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.6, -5, -21, -3, -9\/58?\nAnswer: -9\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*o - 4*l, 0*l = -o - l - 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + w**3 - 2*w**3)*(-13*w - 10*w + 7*w).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3119 is divided by 147.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 30892734.44?\nAnswer: 30892734.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 30. Let a(i) = -4*i**3 + i**2 - 2*i. Let w(k) = -k**3. What is q*w(d) - a(d)?\nAnswer: d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53420386.\nAnswer: 2, 26710193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/((-194)\/485*(-30)\/(-204)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57.96 - 60. Let r = q + 0.04. Let f = 1.5 + r. Which is the nearest to -2\/5? (a) -1 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from pyhbhymmhhphhyhhpmp?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -90, -160, -258, -384, -538, -720?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*g + 100, 35*g - 8 = 37*g. What is the remainder when v is divided by (-15)\/2*(0 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*g, -2*s + 12 = -4*s - 2*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 1, c: 1, e: 5, t: 1}. Give prob of sequence ccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -42*w**2. Let g(p) = 2*p**2 + 3*p - 3. Let v(s) = -9*s**2 - 7*s + 7. Let x(n) = -7*g(n) - 3*v(n). Give x(f(m)).\nAnswer: 22932*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from {i: 2, p: 3, s: 2, e: 4, f: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -1.1306137?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -25, -75, -177, -349, -609, -975, -1465?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m**2 - 5*m**2)*(-m + 2*m - 3*m) + (11193*m**2 - 5572*m**2 - 5512*m**2)*(5*m - 3*m - 4*m)*(-4 + 5 - 3)*(-1 + 2 - 3).\nAnswer: -870*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 30734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldj when three letters picked without replacement from kukldjp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n - 6. Let p be y(8). Let x = p + -13. Calculate the remainder when 45 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 46. Solve c = 3*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {i: 2, u: 4, k: 1, d: 3, b: 1, h: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i + 27. Let x be (30\/9 + -2)\/(4\/(-18)). Let h be o(x). Let j be (-1)\/(6\/(-10)) - (-10)\/h. Solve 2*u = -5 - j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53653301 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.31 (c) 2 (d) 1 (e) 154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from mmyymymmymmyyy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7279 is divided by 90?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 133333 + 16?\nAnswer: 133352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334414749?\nAnswer: 4919, 474571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 174 = -111. Let q(h) be the first derivative of 1\/4*h**4 + 10 - 1\/3*h**z - h**2 + 0*h. What is g in q(g) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8\/m**9*(m*m**(-1\/8)*m)\/(m**(3\/22)*m) assuming m is positive.\nAnswer: m**(-23\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/640*16)\/(4\/(-5))*20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 51*u + 307. Give l(44).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4382851955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45951 - 871*k**2 - 45951.\nAnswer: -871*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 475193668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjb. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 7:55 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11486334*z**2 + 5546*z - 905 wrt z?\nAnswer: 22972668","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -76.6 + 86.06. Let m = q + 6.06. What is m rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -494 + 498. Suppose 3*r - 19 = 4*p, 0*p + 2*r - 14 = 4*p. Let t be (c\/12)\/(p\/(-9)). Solve -5*u + j = 13 - 3, -t*u = -2*j + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(44\/(400400\/(-91)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 + 3*g**5 + 2*g**5 + (0 + 0 - 3*g)*(9*g**4 - 4*g**3 + 4*g**3).\nAnswer: -25*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 244791455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m. Let r = 1732 - 1729. Calculate n(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let t(g) be the first derivative of -g**2 + 1 + g - g + 0. What is t(c(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -2 (c) -5 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*t = 1632, -4*t = 7*t - 7*t. What is the lowest common multiple of n and 272?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -5 (c) -6\/17 (d) 2\/17 (e) 7.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/120 - 11*d**5\/60 - 2*d**4\/3 - 13*d**3\/6 - 4*d**2. Calculate the remainder when q(-10) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7849461 and 168.\nAnswer: 439569816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - 3373*v - 5.\nAnswer: -3373*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6 + 3 + 2 - 5*k - 7*k + 13*k. Calculate y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 91*c**2 + 2678*c + 20. Is y(-41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*r - 3*r = -2, 0 = 4*j - 3*r - 2. Let a(y) = 3*y - 3. Let m be a(j). Let w(u) = -m - 4*u + 5*u - 4*u - 3*u. Give w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244980 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00153095 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 13*c - 28. Let w be s(-15). Suppose -w = q - 3*q. Are -7 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19674007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - (-10)\/(150\/81). Let f(h) = 11*h**2 + 10*h - 10. Let q(v) = v - 1. Let u(w) = f(w) - 6*q(w). Is u(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(121)*-1*4 - (sqrt(121) - (sqrt(121) + -1*-2*sqrt(121) + sqrt(121) + sqrt(121)))))\/((1*(sqrt(121)*1 - sqrt(121)) - sqrt(121))\/(sqrt(99)*-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 - -133. Let z = -53\/2 - s. Let m = 0.47 - 0.07. Is z > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n = 32*n + 53*n + 1356 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 14*g**2 + 4. Let h be b(-14). Let x(j) = j**2 - 12*j + 14. Let z be x(12). Let r = 13 - z. Put -5, h, r in increasing order.\nAnswer: -5, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/8)\/(71\/((-15336)\/54)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 718.3 + -718.2. Which is the closest to d? (a) 4.91 (b) 1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2446257*f**3*p**2 + 12379368*f**3*p wrt p.\nAnswer: -4892514*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + -45 + 31 + 33?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - (41 - 126)) + -79.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-5 - (7 - 6)) - -5 - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22359*n + 22369*n = -170 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g + 2. Let n = g - -18. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.947116218 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -58, -112, -166, -220?\n\"Answer: -54*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905*s + 42 - 50 - 52 + 60.\nAnswer: -905*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 961453632 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(90\/120)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-774)\/(-12)*23\/((-828)\/24).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 292 - 292 - 142*q + (1 + 3 - 6)*(4 - 4 - 3)*(-q + 4*q - q).\nAnswer: -130*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, -0.5, 508, -3?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 0. Let f = j - -7. Suppose 2*v - 6 + f = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11267 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/20 + 12*x**3 + 179*x**2\/10 - 3911. Determine h, given that w(h) = 0.\nAnswer: -179, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 + 4*j**2 + 41*j + 6. Let w(u) = -3*u**3 - 6*u**2 - 42*u - 9. Determine 3*f(d) + 2*w(d).\nAnswer: 6*d**3 + 39*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4591296 and 4194.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -25, -5*w + 51 = -7*u - 64 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, h: 10}. What is prob of picking 2 h and 2 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -25*m - 17. Let c(d) = -38*d - 25. Let a(x) = 5*c(x) - 7*o(x). Let j be (-1 + -2 + -4)\/(-1)*-1. List the prime factors of a(j).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 1, o: 1, b: 7, m: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18360 and 1043970.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47783.000048858 - 47783. Round h to 7 dps.\nAnswer: 0.0000489","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21274782 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 120302 (base 4) in base 3?\nAnswer: 2011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32574 is divided by 16278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7*(-70)\/40\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + i**2 + 2*i. Calculate the remainder when 43 is divided by o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:18 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 206*j - 1856. Determine m(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((20\/(-48))\/5). Let j = 211 + p. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 - 281580*l - 844704 = 0. What is l?\nAnswer: -70392, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*65\/(-26)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*h**2 + 5*h**3 + 352*h**2 + 39 - 112*h**2 - 122*h**2 to the form c*h + l + j*h**2 + q*h**3 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27268, 41342, 55416, 69490, 83564?\n\"Answer: 14074*a + 13194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211012221 - -121?\nAnswer: -2211012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*d - 11 = 0, 3*n = -2*n + 3*d. Let i be ((-30)\/(-18))\/(n\/(-9)). Let t(y) = -y**3 + 7*y**2 - 7*y - 3. Let p be t(i). Solve -p = -3*m - m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/4 (b) 3 (c) -47 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l - 3. Let d be z(1). Does 3 divide (-34)\/d*(-40)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0407 * -1.2.\nAnswer: -0.04884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 28*k**2 - 32*k + 55. Calculate z(29).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 0.1163?\nAnswer: 3.1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/414626 or 0?\nAnswer: -1\/414626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsssssbbsssbb. Give prob of picking 1 b and 1 s.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 14\/(-6))*20\/200?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsdslstsdsllssdss. What is prob of sequence sdt?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-8)\/x)\/x)\/(x\/x**(2\/77)))\/(x*x\/(x*(x**(1\/30)*x*x)\/x)*x*x**(-7\/6)))**(44\/3) assuming x is positive.\nAnswer: x**(-16592\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -4 + 12 - (-6 + -23 + -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/(-6) + (-5)\/15. Let f be 90\/27*w\/(-4). Suppose 395 = f*r + 25. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(4\/(-2)) - 8\/1. Let k = 12 + d. Solve -5*f + 2*f = -k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 656.1367 - 0.1367. Let w = h + -651. Which is the smallest value? (a) w (b) 57 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14599, 14600, 14601?\n\"Answer: c + 14598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 109 (c) -0.3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + (-2864)\/(-360))\/((-1)\/10). Suppose -5*f = -0*f + 5*w - 40, -1 = -2*f + 3*w. Suppose -d - 7 = 2*a, 0*a = -f*a + d. Is j not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (100*(-221)\/1904 - (-3)\/4)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, j: 4, l: 3, t: 3, m: 2}. What is prob of sequence tt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 8. Let p be 12*(-2)\/6*1. Let s be n(p). Suppose s = -26*l + 23*l + 9. Which is the closest to 0.1? (a) 1 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37494.\nAnswer: 2, 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -234. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 + 0 + 41*x**2 + 75*x**2.\nAnswer: 116*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(2)*1 + 0 + 1.\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30823342 divided by 4678?\nAnswer: 6589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/6 - 6*y**2 + 19*y. Give i(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03397 at least as big as -145177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48747592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Factor 8*q - 31*q**2 - v*q**4 - 8*q**3 + 31*q**4 + 3*q**2.\nAnswer: 4*q*(q - 1)*(q + 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760921.9mm to kilometers.\nAnswer: 0.7609219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -1, -88, 0, 12, -103 in decreasing order.\nAnswer: 12, 8, 0, -1, -5, -88, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + 4. Suppose -4*g = -34 - k. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/262745?\nAnswer: 1\/262745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011110000100011 + -1010101?\nAnswer: -100011110001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + -6*sqrt(48)\/sqrt(4) + sqrt(84)\/sqrt(7) + 5)**2.\nAnswer: 40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 282996*t**2 - 12*t + 2184496 wrt t?\nAnswer: 565992*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*w = 138*w + 2996. List the prime factors of w.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4580)\/687)\/(30\/(-144))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 3*r - 5. Let j be o(-5). Suppose -41 = -t + 4*q, -j*q - 8 = 12. Suppose 0*h - 5*h = -t. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -x + 57, 5*x + 383*j = 380*j + 207. Let a = 89 - -83. What is the remainder when a is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + -1 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 8. Let b(f) = f - 5. What is the remainder when b(22) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (138\/(-8))\/((-3)\/(-2)) and ((-1)\/(-10)*4)\/(216\/690)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldll when four letters picked without replacement from {l: 3, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*d + 1948, -5*d + 972 = 2*t - 3*d. Is t a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - 117\/(-18))\/(1\/14). Let f be (-3)\/(3\/2) + 5. Suppose 13 = f*b + d. Solve -m = 4*g + 17, -3*g - b*m = -4*g - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 5*r**2 + r + 1. Let i be 1*8 - (-13 - -16). What is q(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let k(a) = 16 + 29*a - 68*a + 40*a. Determine k(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8312*y - 86. Let j(b) = -4154*b + 38. Give -4*c(n) - 9*j(n).\nAnswer: 4138*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248 - 168. Let m = f + -83. Let n = 2 + 2. What is the second smallest value in n, m, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.02 (c) 0.5 (d) -1 (e) -583 (f) 0.039 (g) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/790725 and 101\/1265160.\nAnswer: 6325800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51275766 to the power of 1\/2, to the nearest integer?\nAnswer: 7161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -11. Let o = 7 - m. Let r = 1097.6 - 1098.6. Sort 0, r, o, 3.\nAnswer: r, 0, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12607 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 927*r + 25 = 924*r - 2*q, -4*r = -4*q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2353 + -2341. Suppose 0 = 2*y - 6*y + 3*a + 125, 2*y = -2*a + 80. What is the remainder when y is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + 0.8. Let k = 1.11 + -0.91. Let u = -0.4 + k. What is the second biggest value in u, 0, j, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1173.97 + 123.43. Let s = -1297 + v. Let p = 0.3 + -0.1. Which is the smallest value? (a) -5 (b) p (c) s (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.198 minus -4.4685142?\nAnswer: -35.7294858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-4)\/((-16)\/124) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 86*b - 83*b. Suppose -x = 3*w - 63, w - b = -3*x + 13. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -570, -416, -130, 306, 910, 1700, 2694, 3910?\n\"Answer: 3*y**3 + 48*y**2 - 11*y - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1603, 1555, -141, -3485, -8477, -15117, -23405?\nAnswer: -33341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40530131 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128811949 - -4.693.\nAnswer: -128811944.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - 4*q**2 + 0*q**2 + (1 + 0 + 0)*(-2*q**2 + q**2 + 3*q**2))*(-q + 2 - 2) in the form a*q + k*q**3 + d + c*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/3 - (40\/(-12))\/(-5). Solve -i + s - 13 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76426118331 from -0.0844.\nAnswer: -76426118331.0844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3) + (0 - -1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1620))\/(-3*sqrt(4)*-1) + -3.\nAnswer: -3*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144555054 and 16548?\nAnswer: 8274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-951)\/(-8) - 30\/(-240) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4024343 and 2120.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 26*l - 16. Is y(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n - 43*n + 76 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -623960485*f**3 - 243885758 wrt f?\nAnswer: -1871881455*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4517*l + 72204. Give z(16).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165576115, 165576111, 165576107, 165576103?\nAnswer: 165576099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -402?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Let i be l - 1*(1 + 4). Let o(n) = -5*n**2 + 5. Let g(r) = -6*r**2 + 6. Calculate i*g(f) + 5*o(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -16*j**3 + 6*j**2 + 52. Let t(v) = -2*v**3 + 2*v**2 + v. Give a(s) - 3*t(s).\nAnswer: -10*s**3 - 3*s + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 3:11 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/5 - (-4)\/10. Let i be 4\/6 + (-7)\/(-3). Let c be 14\/i - (-2)\/q. Solve 0 = c*y + 3 - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m - 10*m + 2*m to the form c*m + u and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22240 and 192376?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = -75. What is the smallest common multiple of (-17 + 21)*(1 - -1) and o\/2*16\/(-12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1077, 1043, 949, 765, 461, 7, -627, -1471?\n\"Answer: -5*x**3 + x + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9156 - 8340. Sort 2, m, -3.\nAnswer: -3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/(-874)*-69)\/((-3)\/(-2)*-2)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b + 47. Let l be s(-11). Suppose l*r - 17280 = 7*r. What is r rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -12, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.2. Let c = d + 0.215. Round c to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2 (c) 3 (d) 2 (e) -297\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7013 + 7015. What is o in -2\/5*o**2 - a*o + 0 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -32. Let n(p) be the second derivative of -p**5\/20 + 3*p**4\/2 - 8*p**3\/3 - 11*p**2\/2 + 57*p. What is the least common multiple of n(g) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**3 - n**2 - 11*n - 15. Determine y(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(2) + -4 + sqrt(2) + 0 + (((sqrt(320) - -2*sqrt(320)) + sqrt(320))\/sqrt(10))**2 - (sqrt(72)\/(2*sqrt(12)))\/(sqrt(3)*1*4).\nAnswer: 23*sqrt(2)\/8 + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 80*y**2 + 54. Let z(b) = -6401*b**2 - 4329. Determine 481*h(x) + 6*z(x).\nAnswer: 74*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 + 0*a**3 + 10849*a + 3*a**3 - 10821*a.\nAnswer: -a**3 + 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 34544?\nAnswer: 34553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 52 = -3*v. Let s(l) = l - 11. Let r be s(v). Suppose -3360000 = -r*n - 2*n. Round n to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.57 + 0.07. Let u = t + 2. Let r = u - 0. What is the second biggest value in r, -5\/3, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:45 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 3*j + 10. Suppose -j = 8*b - 66. Let h be (-3)\/b - 262\/(-16). Solve 0 = 5*a - 10*a - 2*c - h, -4*c + 20 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2266*i**2 + 3207*i - 3207*i.\nAnswer: 2266*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/11842 and 119\/3438.\nAnswer: 106578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9118.032 decades in centuries?\nAnswer: 911.8032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**6 - 3*i**4 - 5*i**2 - 3*i. Let z(a) = 3*a**6 + 4*a**4 + 4*a**2 + 4*a. Let j(r) = -4*b(r) - 3*z(r). Find the third derivative of j(v) wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 11, 10?\n\"Answer: -n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/15)\/((189\/(-315))\/((-3)\/(-2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 125 + -115 + (-6 - 2 - -1) + -29\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2047 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 149*x + 4866. What is p(-33)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -39d44?\nAnswer: 39d46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 0.038 (b) -5 (c) 1\/17 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 110956.\nAnswer: 998604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4 - 66*j**3 - 41*j**3 - 16*j**3 - 298*j**2 - 718*j**2 wrt j.\nAnswer: -24*j - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:37 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 f when four letters picked without replacement from {v: 12, f: 1, k: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**2 + 78295*i - 78295*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102442.004592 + 0.02\nAnswer: 102442.024592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -681 - -680. What is the second biggest value in 10, -25, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30790969 - -30790983.9999935. Let f = k - 15. What is f rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:58 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4736841, -9473668, -14210495?\nAnswer: -18947322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.8164 rounded to one decimal place?\nAnswer: 72.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 232563311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -105, -551, -1293, -2331, -3665, -5295, -7221?\n\"Answer: -148*m**2 - 2*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(16200\/(-513)))\/(2\/(-60)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380 and 2.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -175, -181, -189, -199, -211, -225, -241?\n\"Answer: -v**2 - 3*v - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/167 (b) 5 (c) -0.2 (d) -0.1 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (340\/(-30))\/(4\/6). Let p = b - -55. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 116752.46 (b) 1\/2 (c) 0.08 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/2 - 0)*2 + 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t**2 - 7*t - 6. Let q = -26 - -23. Let d be u(q). Let r(b) = d*b - 12*b + 5*b + 2*b. Let n(y) = -4*y**2. Determine n(r(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3 + 1572*z**2 - 1569*z - 3142 = 0. What is z?\nAnswer: -1, 2, 1571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*f - j + 15, 0 = -5*f + j + 11. Suppose -3*u + 10 = -29. Suppose f*t = o + 3, 5*t + 4*o - u = o. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(5) + 5 - -1*sqrt(1539))**2 + 5.\nAnswer: 100*sqrt(19) + 1930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23585 (base 11) to base 16\nAnswer: -84b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + 5*k**5 - 3*k**5 - 2*k - k**5 + 2*k + (-1 + 2*k + 1)*(k**4 - 4*k**4 + 2*k**4).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.4. Suppose 780 - 764 = -8*d. Let o = 0.1 + 4.9. What is the closest to -1 in a, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 16) to base 8\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - 12*c**3 + 34*c**3.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706, -1540, -2548, -3790, -5326, -7216?\nAnswer: -9520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + r**2 - r + 1. Let j(b) = 4*b**3 - 2*b**2 + 9*b - 2. Let f(n) = -j(n) - 2*k(n). What is the second derivative of f(h) wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-198)\/742. Let o = 16 - 14. Suppose -2*z = o*z - 4. Is z less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(720) - sqrt(720)*2 - sqrt(720)) + -2*sqrt(720)*-6)\/(sqrt(81)*1 + sqrt(81) - sqrt(81) - sqrt(81) - -5*sqrt(324)).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25937 is divided by 6479?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.47 - 1.17. What is the nearest to -0.1 in -3, d, 3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 1. Let j(z) = -3*z + 5. Let h(d) = -2*j(d) - 9*p(d). Let o be h(-8). Suppose -2*s + 3*s = o. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + 0 - (12 - (-7 + 7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 3*u + 26 = 3*m, 46*u - 2*m - 66 = 19*u + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 520 = 5*f, -2*b - 15 - 85 = f. What is the remainder when 25 is divided by (-1)\/2 + f\/(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -12*g. Let w(a) be the third derivative of -5*a**4\/8 - 168*a**2. Calculate w(t(y)).\nAnswer: 180*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((10\/15)\/((-14)\/63))\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36fa29 (base 16) to base 8.\nAnswer: -15575051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(10\/16*16\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 5) + (-4 - -1) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.3 - -1.7. Which is the second biggest value? (a) o (b) -0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {i: 1, q: 2, k: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 2690. Suppose 0 = 238*q - 248*q + 3220. Let m = u - q. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2, -1880\/7 in increasing order.\nAnswer: -1880\/7, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/313, 0, -0.1, -7, -0.3, -11 in decreasing order.\nAnswer: 9\/313, 0, -0.1, -0.3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4166514, 8333027, 12499540, 16666053, 20832566?\n\"Answer: 4166513*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1096 and 2293?\nAnswer: 2513128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvvj when four letters picked without replacement from jjvjjjjjjjjvvvvjjv?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 652446.5 centuries?\nAnswer: 6524465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.2, -5, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*k**3 - 2*k**2 + 7*k**3 + 10*k**2 - 4*k - 14*k**2 to u*k + c*k**3 + i + z*k**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 o when three letters picked without replacement from wwowwwwowwwwowwwooo?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8092\/2312*(-6)\/231*2)\/(1\/(-341)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + o**2 + 2. Let i be x(2). Let n be (-1)\/i*(6 + -2). Solve -q = -3*q - n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8143\/15 - (-46)\/345. Suppose -8*a + 3791 = s. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*a + 18 = -106, 2*a = -2*y + 84. Suppose -4*m = 5*k - y, -4*m = -0*k + k - 56. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517455988 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6555457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-323 + 378 - (20 + 0)) + 1 + 15?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/4131 (b) 1\/8 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - v**4 + 0*v**2 - 2*v**2 + (-2 + 2 + v**3)*(-4*v + 0*v - 2*v) + (2*v - 1 + 1)*(-3*v**3 - 2*v**3 + 7*v**3).\nAnswer: -4*v**4 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5841 and 29658651.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -3682.39?\nAnswer: -3682.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*-1*sqrt(833).\nAnswer: -1 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -42670 (base 8) to base 14\nAnswer: -670c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/50 and 31\/510?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020686611 to 7 dps.\nAnswer: 0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:24 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/19)*u*u**(-1\/4)*u)**(26\/9) assuming u is positive.\nAnswer: u**(559\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-152)\/16)\/2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t**3 + 14*t**3 - 20*t**3 + (12*t + t - 23*t)*(3*t**2 - 2*t**2 - 3*t**2) to the form j*t**2 + g*t**3 + l + p*t and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.97 - -0.03. Let h be 1*(2 + -3)\/((-7)\/(-35)). Let z = 0.21 - -0.79. Which is the second biggest value? (a) v (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109329978*c = -25*l + 109329980*c - 223, -l = -4*c + 5 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 4*y - 2. Let h be w(3). Suppose 0 = -0*t + h*t + q - 56, t - 29 = -4*q. What is the least common multiple of t and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1282029032787 + -55\nAnswer: -1282029032842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28\/33 - -5287\/264. Let y be 88670\/265*(-1)\/16. Let d = g + y. Is 0 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*b**2 - 61*b**2 + 3 + 6*b - 6*b to s + n*b**2 + v*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 31 (c) -0.06 (d) 35 (e) 44 (f) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -3, -0.1, -11, -102, 6 in descending order.\nAnswer: 6, -0.1, -0.12, -3, -11, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4428 and 432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -106089.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 23. Let t be b(16). Let w be (-1)\/(t\/6)*18\/60. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -61.72. Let k = 0.78 - z. Suppose 0 = -l - 5*s - 8 + 4, -2*s - 3 = -l. What is the nearest to l in -2, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -10) + (-2)\/2. Suppose -1820005 = 2*w - l, -2*w - 1819975 = -0*w + f*l. What is w rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 207, -57 in descending order.\nAnswer: 207, -57, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 4:07 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17900 is divided by 578?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 + -105. Solve 3 = z*y + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -603 - -599 - (1 + 3 + -2 + 9 + -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r = 86*r - 20. What is the least common multiple of r and 7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 292 + -125. List the prime factors of h.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 9. Let q(o) = o**2 + 4. Suppose 0 = -3*i - 0*i + 111. Let u = -26 + i. Suppose 28 = -4*c - 3*d - d, -d + u = -c. Give c*q(w) + 4*v(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10459114 + 68459114. What is n rounded to the nearest 1000000?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164*r**3 - 120000 - 3*r**4 - 7716*r**2 + 304*r**3 + 120*r**3 - 117600*r - 19896*r**2.\nAnswer: -3*(r - 100)**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -960 - -568. Let w = 398 + j. Put 5, -3, w in increasing order.\nAnswer: -3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-55)*-25)\/(-3).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(80) + sqrt(80)*-1))\/(2*sqrt(144)))\/(2*4*sqrt(40)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + 0 + (1*(3 + 5*(2 + sqrt(704) - sqrt(704))))**2 + -2).\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/25 - (-6756)\/20. Let v = z - 56. Suppose -x - v = -4*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/(4*30\/(-1680)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*14\/(-441)*2\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 7955?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 minus -4?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 89.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a063a1c7 + -4?\nAnswer: a063a1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -16.9325?\nAnswer: 16.6325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v - 1. Let b be c(1). Suppose 0 = -x + 7 - 0. Solve 3*q - x*q + b = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50 and 48.\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + 1724 + 1070. Let f = -127 + j. Solve 2*y = 3*y + 4*g - 8, f = -5*y + g - 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630377028.\nAnswer: 2, 3, 17510473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-117)\/222)\/(-13))\/(21\/(-268)). Let l = f - 2\/37. Sort -3, l, 5, 0.5 in decreasing order.\nAnswer: 5, 0.5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4069.85 less than -848.174?\nAnswer: 3221.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -39) + 0 + (101 - (-80 + 188))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*m + 102 = -410 - 332 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*a - 1 = 8, 0 = -5*i + 5*a + 45. What is the remainder when 17 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -61*u**4 + 10*u**2 - 7*u - 2. Let p(c) = 243*c**4 - 39*c**2 + 30*c + 9. Let m(b) = -9*f(b) - 2*p(b). What is the third derivative of m(j) wrt j?\nAnswer: 1512*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-6)*80\/18*-3. Let s be (-5)\/(-7) + 2 - y\/70. Find the third derivative of i**2 + 37*i**5 + 24*i**3 + 23*i**s - 47*i**3 wrt i.\nAnswer: 2220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3266 or 93246?\nAnswer: 93246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 3*o**3 + 0*o**2 + o**2 as v + j*o**3 + h*o**2 + c*o and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -120141 (base 5) to base 3\nAnswer: -20001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tttyy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*x - 8*x = 34, 0 = 5*n + 4*x + 86. What is the units digit of (-21)\/n + 502\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19539 - -20315. Which is the biggest value? (a) r (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22731443*n**3 + 45462885*n**3 - 22731443*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282412\/11 - 25715. Let g = f - -22353\/550. Calculate the common denominator of 9\/10 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1487503.7 - -0.0417.\nAnswer: -1487503.6583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*l**2 + 31*l - 31*l - 820*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16*s**2 - 16*s - 11. Let d = -11 + 15. Let v(c) = 3*c**2 - 3*c - 2. Let p(k) = d*o(k) - 22*v(k). Find the second derivative of p(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 10*n**2 + 9*n + 6. Let i be d(9). Suppose -i + 1 = -k + 3*l, -2*k - 3*l = -19. What is the lowest common multiple of k and (-1)\/(2\/(-32) - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 11*r + 144. What is the hundreds digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -37. Suppose -3*a - i*a = 76. Let p(k) = -5*k - 1. Calculate p(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p**3 + 438702*p**2 + 2303396*p + 548430 = 0 for p.\nAnswer: -5, -1\/4, 54843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -16 + 11 + -3 + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 3. Let j be x(5). Suppose u + 4*u + 4*z + 5 = 0, 2*u + j*z = 0. Let k = 58 + -61. Put -2, k, u in decreasing order.\nAnswer: -2, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 11:12 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25325430 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223 - -335. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1176 - 100?\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -44. Suppose -10*a - w = -15*a. What is the second derivative of 2*k**5 - 3*k**5 + 5*k**a - k wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 733 and 6640247?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 84\/229, -1, 1528?\nAnswer: 84\/229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 1058601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 565779646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 14 (b) -2\/7 (c) 92 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101459588533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 11*x - 9)*(0 + 2*x + 0)*(-1 - 2 + 4).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 58. Let c = o + 107. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvm when three letters picked without replacement from {k: 1, m: 1, d: 1, v: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**3 - 5*p**2 + 5*p + 2. Let c(j) = 3*j**3 - 3*j**2 + 3*j + 1. Let k(v) = 5*c(v) - 2*f(v). Let b = 5 - 1. What is k(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -868 divided by 434\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.85 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*r + 60 = -3*b, 3*r + 15 = 0. Calculate the remainder when b is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-44)\/12 - 23\/3. Let a(u) = -u - 2*u + 0*u - 2 + u**2. List the prime factors of a(y).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315)*-2)\/sqrt(5))\/sqrt(9))**2*-1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 160. Let i be d(-26). Solve i = -6*k + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.891178 and -0.3?\nAnswer: -0.2673534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 39\/37 - (102 + -104)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5295 divided by -3\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 5:41 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/120*-3*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 - v + 2. Let r be c(2). Let h = 25.61 - 0.91. Let i = h + -25. What is the nearest to r in 1, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*y + 14. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(((q\/q**(-1\/3))\/q*q)\/q)\/q*q*q*q\/q**(-15\/4)*q**0\/q**(-3\/5) assuming q is positive.\nAnswer: q**(461\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14805 + -14775. Are 0.12 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0234 - -0.7844. Round t to two dps.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*a. Let i = 4 - a. Is (-4)\/((16\/(-10))\/i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 12. Let u be d(-9). Suppose -u*w = -2*t + w + 40, 0 = 4*t + 3*w - 69. Suppose m - t = -4. Solve -3*k - 17 = -4*c, 4*k - c = -m - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4217 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 8*c**2 - 7*c - 2. Let o be x(9). Let k be (150\/(-675))\/(8\/(-9)). Is o at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 7*w - 5. Let b(q) = -4*q**2 - 1. Let d be b(-1). Let f be v(d). Solve 0 = f*s + 3 + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-3*8\/12. Let q(k) = k**2 + 6*k + 3. Let f be q(u). Let b = 0 - 0. Solve -6*p + 8 = 4*v - 2*p, b = 2*v - f*p + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/5, 117\/14, -2\/15, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*s**2 + 5*s - 2*s + 57*s**2.\nAnswer: -8*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262462 is divided by 131178.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 2. Let i(x) = -4*x**3 + 8*x**2. Let r(j) = j**3 - 3*j**2. Let s = -1904 + 1896. Give n*i(o) + s*r(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**3 + 152*q**2 - 190*q + 92. What is l(24)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/10*((-78)\/(-18) - 1). Find the first derivative of -7 - s + 0 + 10 + 3*s**p wrt s.\nAnswer: 12*s**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, b: 1, p: 1, c: 1}. Give prob of sequence mp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-180)\/(-27)*(-774)\/(-2). Suppose -8*i + y = 6*i. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*t - 22, 3 = -t + a + 2. Suppose 0 = 7*s - t*s - 52. Let k = -13 + s. Sort 1, k, -2 in increasing order.\nAnswer: -2, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*x + 120*x - 3 - 7)*(-247*x - 466*x + 400*x).\nAnswer: 313*x**2 + 3130*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3487 is divided by 116.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132.2 + -132.200007875. What is u rounded to 7 dps?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.05 + 0.05. Let u = 1 - x. Let p = 0 + -5. What is the nearest to -0.1 in 1\/2, u, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45468 is divided by 108.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 50392?\nAnswer: 655096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 77*a + 2. Let q(s) = -22*s**2. Calculate q(x(j)).\nAnswer: -130438*j**2 - 6776*j - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5446166.\nAnswer: 5446164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1617)\/(-15) - 1\/(-5). Suppose -5*y + 2*y = -l. Suppose q = 4*q - y. Calculate the remainder when 34 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4132, -3942, 580, 9434?\n\"Answer: 2166*h**2 - 6308*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42848 or 42847?\nAnswer: 42847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.047 + 3.047. Let z be 6\/2 + 0\/1. Let w = z - 2. What is the second smallest value in q, w, 3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 22 = 7*g - 73. Put g, -3, 4, 46, 0 in ascending order.\nAnswer: -3, 0, g, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2960813 and 6670.\nAnswer: 29608130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1527 or -1533?\nAnswer: -1533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + (-36)\/(-16). Let j = -2 + f. Suppose j*r + r - 2*b - 14 = 0, -5*r = 3*b - 83. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 8*k - 3*k - 374 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61935, 61939, 61945, 61953?\n\"Answer: i**2 + i + 61933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 p when four letters picked without replacement from ppppmkkppppmpp?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 r when four letters picked without replacement from rrpjxrhxxhhxx.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/((y*y**(-1\/2))\/y))\/(y**(-1)*y*y)**(17\/2)*(((y*y\/((y*y**(-1))\/y)*y*y)\/y)\/(y\/y**(-5\/4)))**(-29) assuming y is positive.\nAnswer: y**(-215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000721909 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (sqrt(288) + (sqrt(288) + 3)*-4)) + -2)**2 + ((sqrt(2) + 2 + sqrt(2))*2 + sqrt(128)*1)**2 + -5)*-6.\nAnswer: -30042 - 6336*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -10*(-1)\/((-10)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + -100?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*u = 423*u + 685. Solve 5*x - 13*s + 14*s = 23, 35 = u*x - 5*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*((-4)\/2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 605020.087 to the nearest ten.\nAnswer: 605020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8040045 is divided by 1416.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23172480 and 28.\nAnswer: 162207360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-28*2)\/(-1) - (0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5 and 53\/9156803.\nAnswer: 45784015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 29. Let m(j) = -52*j**3 - 3*j**2 - 2*j - 1. Let c be m(-1). Suppose 3*r - k = -3*y, 21 = -5*r + 2*y + c. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47599, 1483, 83279, 197783, 344989, 524891, 737483?\nAnswer: 982759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:26 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44\/7 + -43\/7. Suppose -271 = 5*o - x, -o - 5*x = -2*x + 51. Let s be 4\/(-6)*o\/12. Which is the nearest to 0? (a) s (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + -2 + 5 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) 4\/13 (d) -2\/5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 0.5, 5, -5, -0.5 in increasing order.\nAnswer: -5, -0.5, 0.06, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 22*h + 18*h - 28 = 0, 5*i = h - 4 + 23 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - b + 3 = 0, 0 = -5*g + 8*b - 21*b + 17*b - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 46*i + 32. Let x be s(46). What is the highest common divisor of x and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-13))\/((-17)\/221). Suppose -2*k + d*k = -8, 48408 = 2*w - 4*k. Round w to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 25, 0 = 4*q + 5*d - 2*d - 657. Suppose 0 = -4*z - 3*u + 90, -5*z + 27*u + 128 = 23*u. Calculate the greatest common factor of z and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**3*l**3*q**2 + 5106*g**3*q**3 - g**2*l*q**2 + 2*g**2*q**3 - 42*g**2*q - 171*g*l**3*q wrt g?\nAnswer: -18*l**3*q**2 + 30636*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 936 and 217232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -579376 divided by -82768?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14653.1940437 + 14653.2. What is s rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1444*q**2 + 1610592*q - 449100864 = 0. What is q?\nAnswer: 10596\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in -44, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 4:10 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 541926 and 40480?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 404 = -0*h + 34*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 + 2*j - 2. Let i be n(2). Let l = i - -44. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + 17*z**3 - 2*z**3.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 84474510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406719.\nAnswer: 3, 45191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1328 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 35 = -21. Let s(b) = -11*b - 4. Let m(x) = 6*x + 2. Give p*s(w) - 7*m(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 38*f = -35*f + 7805. Calculate the remainder when f is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/((-1026)\/(-308)) + (-8)\/76?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i**4 - 5*i**3 - 100*i**2.\nAnswer: 120*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in 4.73, -2, -3\/4, 24, 19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245 (base 8) in base 14?\nAnswer: b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2757178227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*1)\/((sqrt(252)\/sqrt(7))\/sqrt(4)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 9*k**2 + 10*k + 47. Let d be o(6). Put d, 0, 3, -44 in ascending order.\nAnswer: -44, d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0.1 (c) 0.3 (d) -3 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) -1\/26 (c) -6 (d) 0.4 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 147?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = 27 - 79. Solve r*i - 5 = 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4812000 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(2*f + 0*f + 4*f)*(4*f**3 - 4*f**3 - 2*f**3).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 1, h: 1, t: 1, y: 1, p: 2}. What is prob of sequence th?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -714 or -36983?\nAnswer: -714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7528021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 = -w, 3*l - w - 3 = w. What is the nearest to -1\/4 in 2, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus -0.3249681499?\nAnswer: 0.3349681499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 533140 divided by -1\nAnswer: -533140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 26 = 6*c, 0*s + 2*s + 3*s = -5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idi when three letters picked without replacement from didjlddjadjijojo.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1847042?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 4, -30570.\nAnswer: -30570, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165190 is divided by 53712?\nAnswer: 4054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 524818880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/20, -4240, -1\/5?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3933045 and 4473?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 5 - -35 - 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12403 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(9\/4)))\/(z**(3\/2)*z) assuming z is positive.\nAnswer: z**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50513.2ml?\nAnswer: 50.5132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101 + 101?\nAnswer: -11101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -39?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 16*g**2 - 3*g - 3. What is the remainder when b(-2) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 277+-216.9\nAnswer: 60.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 114 - 22*w + 173*w.\nAnswer: 151*w + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27\/8, -0.4, 14, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1831 is divided by 866.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, q: 15}. Give prob of sequence qmqm.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(42\/16)*(-1)\/(-12)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-8)\/(24\/21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**27\/(f**(2\/9)\/f))**(-2\/59) assuming f is positive.\nAnswer: f**(-500\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 0 - -8 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 4\/10 - (-112)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1194, 1140, 1074, 990, 882, 744?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1115 divide 945379510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105517, 1, 3\/10, 2\/3 in decreasing order.\nAnswer: 105517, 1, 2\/3, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 14) to base 11.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42376686 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6393?\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 2:05 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1190 + 1193. Solve m*w = -2*w - 5*p + 35, 21 = -2*w + 5*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*x + 2)*(6*x - x + 5*x) + (2*x - 4*x + 4*x)*(14*x - 18*x + 29*x) in the form u + d*x**2 + k*x and give d.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**7\/280 - g**6\/360 + g**4\/24 - 81*g**3\/2 + 66*g - 2. Let q(b) be the second derivative of x(b). Give q(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/5 in -3, -0.3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {w: 5, p: 5, c: 2, d: 5}.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b - 29. Let r(c) = -3*c - 2. Calculate the smallest common multiple of r(-2) and d(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -1\/40*w**5 + 18*w**2 + 0*w + 1\/16*w**4 + 3 + 0*w**3. Find n, given that q(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/1890)\/((-35)\/(-126))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 31 - 11. Let x = 2 + 0. Suppose -4*s - 22 = -3*l - 2*s, 5*l - x*s - 34 = 0. What is the lowest common multiple of a and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*k + 54, 5*x - 13395 = -2*k - 13357 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 3*f + 27. What is the remainder when f is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -13*j + 14\/3*j**3 + 8\/3*j**4 + 3\/5*j**5 + 0 + 4*j**2. Find k, given that q(k) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*p - 1140 = -510 - 3639 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 1 + 5*o + o**3 - 3*o. Let x be 1 - -2*(-180)\/(-3). Let a(j) = -6 - j**3 - 3*j**3 + 120*j**2 - x*j**2 - 5*j. Calculate a(r) + 5*k(r).\nAnswer: r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339949 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + (15 - 17) - -12) + -4 + -2 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 4. Let n = -5.4 + u. Let f = -48 + 53. Which is the closest to -1? (a) -0.5 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4 + 228680*q**3 - 1829268*q**2 + 4801680*q - 4115664 = 0. What is q?\nAnswer: 2, 3, 57162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d**4 + 1 + 67*d**4 - 42*d**4 - 68*d)*(-4*d + 2*d + d).\nAnswer: -5*d**5 + 68*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/8 + 22*y**3\/3 - 30*y**2. Let u be t(-6). Suppose -2 = 6*o - u. Solve -8*f = -o*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2974)\/(-32714)*(0 - -1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2335392.\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17818949 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*o = -3 + 31, -2*k + 2*o = 0. Suppose -k*x - 1 = 15. Let c be 9\/x + (-2)\/(-8). Let s(v) = -3*v + 3. Let g(i) = 13*i - 13. Give c*g(u) - 9*s(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*t - 0*t - 601, 0 = -2*h + 5*t + 228. Suppose -5*q - h + 469 = 0. Suppose 4*d = 2*d + q. Calculate the greatest common factor of d and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34413 (base 9) to base 5.\nAnswer: -1213220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98.56 + -98.48. Sort 0.3, 5, b, 1\/6, 4 in ascending order.\nAnswer: b, 1\/6, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10548678*j**4 - 2365191*j**2?\nAnswer: 253168272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7874780 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6 + 12 - 560556*l**2 - 382548*l**2.\nAnswer: -943104*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzzzzqzzzzz. What is prob of sequence zzz?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 + 13*w - 16. Calculate s(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -11. Which is the third smallest value? (a) -2 (b) -0.02 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -1.01. Let y = n + -0.16. Let g = 1.15 - 0.15. Which is bigger: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951950 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3147*l + 47209. Let p be t(15). Suppose u + 0*u - 2 = 0. Solve 7 = -u*a + h - p*h, -12 = 2*a + 4*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-10)\/(-8)*(-46)\/115.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30624, -61271, -91904, -122529, -153152, -183779?\n\"Answer: -l**3 + 13*l**2 - 30679*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y. Calculate the remainder when 49 is divided by 0 - (-16 - (1 - y)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162) + 4 + 2 + sqrt(162) + 2 + (0 + sqrt(162))*-4)**2.\nAnswer: -252*sqrt(2) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 53. Let x be (3 + i)*(0 + -1). Solve -3*s + 4*h - 18 = x, 4*s - 13 = 3*s - 5*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*a - 8480, -5*s - 5*a + 8450 = -0*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2676 divided by 223\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 799176 divided by -259.\nAnswer: -114168\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i + 14 - 18 + 4.\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429043 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*n + 9, 4*l + 2*n + 3 = 21. Suppose -2*s = l*p - 4, -3*s + 3 - 12 = -3*p. Solve 0 = -3*j - 9 - 6, 0 = p*z + 3*j + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -252*u**4 + u**2 - 524?\nAnswer: -6048*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -8) + 996 + -970.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -i - 4*y - 8, 5*i - 5*y = 10. Solve 0 = i*t - 6*t + 3*p - 1, 4*t - 2*p = 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 31.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*s - 38 + 130, 88 = 4*x - 2*s. Suppose 1 = v - m, 4*m - x = -2*v - v. Let i = -518 - -521. What is the fourth biggest value in v, 2\/13, i, 1\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3900210, -7800421, -11700632, -15600843, -19501054?\nAnswer: -23401265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-3)\/(-4) - -6. Let p(k) = -k**3 + 10*k**2 - 7*k - 8. Let w be p(s). Solve -4*n - w - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 300 = 0. Let g = 226802 + -226716. What is the remainder when g is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 + 133. Suppose 2*p - q - 82 = g, -5 + 1 = -2*q. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/3 + 0)*27. Suppose 2*i - 67 = -5*g + 2, 3*i - o = 3*g. Let d = i + -37. Solve -2*t + 3*y + 10 = 0, -y = -1 + d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098371 divided by 17?\nAnswer: -1098371\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008066 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 5*x**2 - x + 5. Let a be v(4). Let p = -33133\/28 - -4761\/4. Calculate the common denominator of p and ((-3)\/a)\/((-20)\/115).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.63393 nanometers in kilometers?\nAnswer: 0.00000000003963393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 6*z - z**2 - 2\/3*z**3 + 0. Differentiate s(q) with respect to q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 2 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536*i - 118*i = 2090. Calculate the greatest common factor of i and 4820.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 - 130. Let g(x) = -3*x**3 + x**2 - 2. Let y(c) be the second derivative of -c**5\/5 + c**4\/6 - 3*c**2\/2 + 8*c - 10. Calculate a*g(j) + 2*y(j).\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 16. Suppose -b*a + t = -12, -5*t = -2*t - 12. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8614 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(12\/18) + (-52496)\/(-4). Calculate the greatest common divisor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03703789 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -41*b**2 - 6*b. Let a(o) = 3364*o**2 + 493*o. Let n(k) = 6*a(k) + 493*s(k). Let g(f) = 2*f + 8 - 8. What is n(g(i))?\nAnswer: -116*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 566457411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 251*b**2 + 263*b**2 - 519*b**2. Let f(l) = -32*l. What is f(r(m))?\nAnswer: 160*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**5\/20 - j**4\/12 + j**3\/2 - 2*j**2 - 3*j. Let y be d(-3). Solve y*q - 10 = -3*p, 0 - 4 = -2*q - 3*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -64*a - 82. Let u be (-3 + (-16)\/(-6))*30. What are the prime factors of z(u)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + h - 1. Calculate f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 + 8 + -13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2. Let t be b(6). Suppose t = 5*s + 3*m + 77, 68 = -2*s - 2*s - 4*m. Let j(i) = -2*i**2 - 33*i - 8. What are the prime factors of j(s)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7266, 14537, 21808, 29079, 36350, 43621?\nAnswer: 50892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 13*m + 13. Let k(z) be the third derivative of -7*z**4\/24 - 7*z**3\/6 + 55*z**2. What is 11*k(i) + 6*p(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepepeeeeeeeeepeeeee. Give prob of picking 2 e.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let d be f(4). Suppose j = -0*j - 15. Let q = j + 20. What is the highest common divisor of q and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625461417?\nAnswer: 1625461417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1766928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -2d?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21060124 a multiple of 2777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125813*l**2*q**3*v**2 - l**2*q**3 + 11471*l**2 + 2*l*q**3*v + 2*q**3 wrt v?\nAnswer: 251626*l**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 87 - (-68 - 51)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30213 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Let m = 2 - c. Suppose r = 2*k, 5 = 4*r - 11. Solve 3*o + 8 = 2*l + m, -k*o - 4 = l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -425*w**4 - 110*w**3 - 3887*w**2 + 2*w + 10?\nAnswer: -10200*w - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0559 - -0.2441. Let s = -0.2 + -0.3. Let g = 0.13 - -0.87. What is the biggest value in l, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.82162 + 0.07838. Sort 0.05, 0, -3, q in ascending order.\nAnswer: -3, 0, 0.05, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 4*p**2 - 2*p - 8. Let g be q(5). Let c = g - -148. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171324 (base 8) in base 3?\nAnswer: -10011021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**5 - 418*l**4 - 55929*l**3 - 2335988*l**2 + 895120*l + 37482816 = 0.\nAnswer: -167, -84, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2827 + 2812. Let x = 0 - 3. Does x = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 3*j**2 + 4*j**2 - 5*j**2. Let h(q) be the first derivative of q**2 - 1. Give h(k(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/(-9) + (0 - (-5)\/(-45)). Solve r - 3*r = -k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3)*(-25)\/(50\/(-12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117431 to the power of 1\/2, to the nearest integer?\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*d + 408*d = 796*d + 112 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0312 and -82000449.\nAnswer: -82000449.0312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*t - 15, 13*o - 12*o = 3*t - 10. Let z(n) be the second derivative of n**5\/20 - 5*n**4\/12 + n**3\/3 - n**2\/2 - 2*n. Calculate z(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 5*d + 8, 24*z - 14*d = 26*z - 9*d + 48 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157176, -157173, -157170, -157167, -157164, -157161?\nAnswer: -157158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263250 divided by -2925.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*u = -32900 + 53639 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -62.05 and -4413.\nAnswer: -4475.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 - (-42 + 22600\/(-350)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -119 in descending order.\nAnswer: 4, 3, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*6360\/(-954)*(-2)\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 318, 2\/15, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k - 3098 - 214 = -68*k. Solve 21*v - k = -9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5091*q**3 - 17362 + 33104 - 3105*q**3 - 1433*q**3 with respect to q.\nAnswer: -28887*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**7\/2520 - g**6\/270 + g**5\/72 + 57*g**3\/2 + 175*g**2. Let q(j) be the first derivative of n(j). Factor q(t).\nAnswer: -t*(t - 1)*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1204156 - -1396820871\/1160. What is the common denominator of v and -5\/6?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + 2*h + h + (2 - 4 + 0)*(-4 - 5 + 4)*(4*h - 3*h - 2*h).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 75 = 0. Let l be ((-700)\/(-6))\/(5\/q). Suppose 3*i - l = -2*i. What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204) + sqrt(6171)*2)\/(sqrt(6)\/(((1*sqrt(2) - sqrt(2)) + sqrt(2))*6)).\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 12*l**2 + 11*l + 22. Determine v(-12).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 98?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 - 3*i**2 - 8*i. Let k(t) = -t**3 - t**2 - 17*t - 182. Let q be k(-5). Let a(p) = 3*p**3 + 2*p**2 + 7*p. Determine q*m(w) + 4*a(w).\nAnswer: 3*w**3 - w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from rrrrryryreetkere?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 0, 10 in decreasing order.\nAnswer: 63, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937860569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13296934 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 - 14*p**3 + 7*p**3 - 6*p**3.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106526137 or -106526138?\nAnswer: -106526138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -17 - (3 + (6 - 16 - -6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/96)\/(28014\/58464)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47\/39 - 5\/39. What is the third biggest value in n, -1\/8, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 8*d = -52, 3*d = 2*n - 18032 + 18064 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-33))\/(432\/(-23760))*1*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:13 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, r: 10}. What is prob of picking 3 x and 1 r?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38388965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19652*j - 19655*j - 2*c - 13, -3*j = 5*c + 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 100 - 516 = 0. Let h be f\/(-20) + (-6)\/15. Solve 3*j - h*j - 3*p = 11, 3*p = -4*j - 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 25 - (9747 - 9734)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**2 + 6352*m + 19020 = 0.\nAnswer: -1585, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1.61?\nAnswer: 0.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 61 + -5 + -2 - -11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1132100 to the nearest 10000.\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*x + 10 = 0, 115*t = 119*t - 16*x + 12*x - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -35*j**2 - 28*j - 28. Let m(g) = 4*g**2 + 3*g + 3. Let c(x) = 28*m(x) + 3*w(x). Let t(l) = -2*l. What is t(c(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 18981?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70976443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9890 is divided by 2923?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3406137?\nAnswer: 3, 7, 17, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108469069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 13. Let y be w(-9). Let b = y + -5. Let n = 4.3 - 0.3. What is the closest to b in 5, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -5.1. Let m = -2513\/1670 + 4\/835. Which is the third smallest value? (a) m (b) -0.1 (c) z (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 674 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - 1. Suppose -2 = 5*x - 3*x. Suppose -5*o - 4*w = -15, -28 = 3*o + w - 6*w. Which is the nearest to x? (a) m (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3017*-2.\nAnswer: -0.6034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11325 and 18.\nAnswer: 203850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:13 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46262*p**3 - 121428*p**3 + 23 - 3.\nAnswer: -167690*p**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 640 and 256?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 230?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -45. Suppose -2*q + 3*q - 129 = -4*m, q + j*m = 125. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/7, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4636 - 194?\nAnswer: -47ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 != -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137577.6695 rounded to the nearest 100?\nAnswer: 137600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 33 = -22*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Suppose -3*n - s + 0*s = -70, 3*s - 3 = h. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/10 of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222273 nanograms in grams?\nAnswer: 0.000000000222273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 4274?\nAnswer: 4280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1393362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2085, -2086, -2087, -2088?\nAnswer: -2089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82828669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9465\/61 or 156?\nAnswer: 9465\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o + 36*o = 4. What are the prime factors of o\/(1 + (-115)\/114) - 1?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d**(-2\/5))\/(d**(1\/6)\/(d*d**(-5)))*(d**6\/(d**(-1\/5)*d))\/((d*d**(-1\/7))\/((d\/d**(-5))\/d)) assuming d is positive.\nAnswer: d**(541\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2\/4 + 5832087*d\/2 - 11337746258523\/4 = 0. What is d?\nAnswer: 1944029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5, 2*x = -0*x - 3*t + 125. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 533\/(-130) + 1*4. Let x = -2 + 2.4. Which is the nearest to -6? (a) -0.5 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9384, -9566, -9790, -10056, -10364?\n\"Answer: -21*x**2 - 119*x - 9244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -5?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 820, 1242, 1664?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 2 t when four letters picked without replacement from {a: 1, q: 6, t: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5148 and 936.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -7\/8, 5\/4, 4?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 218*o**4 + 309775*o**3*s**2 - 166657880*s**2 wrt o?\nAnswer: 872*o**3 + 929325*o**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 140372280431+-3.107\nAnswer: 140372280427.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 2. Let f(i) = -i - 4. Let c(n) = 4*a(n) + 2*f(n). Let m(k) = -4*k**2 + 2. Calculate c(m(t)).\nAnswer: -8*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*k - 24 = 0, -5*i + 4*k = -45 + 41 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7815 and 12504?\nAnswer: 62520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n = 3*d - 8*d - 22*n + 27, -38*d - 9*d - 3*n = -232 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -s - 4*r, 52*s + r = 54*s. Solve 0 = l + s*q - 5, 2*q - 7*q = 5*l - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose x + y + 7 = 0, 5*x = u*x + 4*y - 35. List the prime factors of (-195)\/x - 2\/3.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + y**2 - 647*y - 1299. What is o(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2 + 2811*w - 30196. Determine t(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(9)\/sqrt(3) - (-2 + sqrt(6)\/sqrt(2))) + -5.\nAnswer: -5*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22262*q**2 - q - 987.\nAnswer: 44524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1*13\/26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3633*n + 2587*n = -5385 - 891 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 0.063669771259707\nAnswer: 0.436330228740293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26325349 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 44*c + 782 = -16*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52556904 and 7896.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 3334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.17 - -0.17. Let p be ((-47)\/83)\/(42\/10). Let f = p - 2\/249. Sort f, y, -2.\nAnswer: y, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 - 8537?\nAnswer: -859d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 6094 + 718 = 0. Let f = p + 543. Is f a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -7*m + 12. Suppose 0 = v + 4, -4*b = -b - 4*v - 7. Is b at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/17 - 8336*k**4\/17 - 1767350*k**3\/17 - 1725680*k**2\/17 + 7069432*k\/17 + 413888 = 0. Calculate k.\nAnswer: -3944, -223, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 15*j - 13. Let r be m(14). What is the common denominator of -65\/2 and (r\/16)\/(1\/(-19))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let r(z) be the second derivative of -z**6\/180 + z**5\/60 + 19*z**4\/12 - 27*z. Let u(x) be the third derivative of r(x). Give u(h(n)).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977625?\nAnswer: 3, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 52 = 103. Let j(k) be the first derivative of 3 + 1\/3*k**l + 1\/2*k**2 - 2*k. Determine j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 228.\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 69*b - 1. Let x(o) = 2*o**2 + 18*o - 19. Let v be x(-10). Let p be m(v). Let s = p - 64. Solve -5*a = -2*q + 16, 4*a - 3*a = -s*q - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yykyhyjyyyyyy.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-1417)\/(-65) + 8\/40)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13565, 27127, 40687, 54245?\nAnswer: 67801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -182, -198, -220, -248?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52539 is divided by 6565?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 9*g + 3. Let v be s(9). Suppose -11 = -v*p + 7. Suppose -5*q + 4 = -p. Solve 2*y + 8 = -q*j, 0 = -5*j + 2*y - 5*y - 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.50795nm to centimeters.\nAnswer: 0.000001550795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 5*v, -3*u = -4*v + 2. Is (-161 - 1)\/(-3) - u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 9:07 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26392 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 655\/25 + -18*(-2)\/10*(-48)\/144.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4747550 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2 - 13966*a + 55922. What is q(4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18615.\nAnswer: 3, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0335 - -150.9665. Put c, -3\/8, -1\/7 in increasing order.\nAnswer: -3\/8, -1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/34 - 9\/17. What is the fourth biggest value in 5, g, -6, -1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33319\/3642 or -10?\nAnswer: -33319\/3642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.95 + -0.05. Let s = 0.06 + -0.09. Let g = s + 5.03. Which is the closest to -0.1? (a) 1 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32729, -65464, -98199, -130934?\n\"Answer: -32735*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -11. Let c = -1 - a. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 9184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 2584, 9410, 22732, 44716, 77528, 123334?\nAnswer: 184300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -5.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 317*f**2 - 635891*f - 22035. Determine y(2006).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**3\/6 + 2*f. Let t = 20106 - 20112. Let p(l) be the first derivative of -4*l**2 + 3*l - 1. Calculate t*j(a) + p(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2607682 to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 1, e: 2}. Give prob of sequence me.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**4\/4 - 3*c**3 + 5*c - 1. Let m be p(9). Suppose -5*b - 155 = -5*h, 34 = h + m*b - 3*b. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-1 - 0) - -5. Let s(a) = a**2 - 7*a - 7. Let u be s(8). Let z(h) = 2*h**2 - h + 1. Let x be z(u). Which is smaller: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3003347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1)*(-3220)\/105. Let g be f\/69 + 7\/3. Factor -x**4 - 2*x**3 + 3*x + g - x - x + x.\nAnswer: -(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35886128947 plus -2.5?\nAnswer: -35886128949.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3198?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 4*c - 24, -754 + 776 = -2*c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 - 620*a**3 + 95478*a**2 + 192820*a + 96721 = 0. What is a?\nAnswer: -1, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3905 - -3.4. Let k = 200.9905 + n. Let y = k - 201.00000538. What is y rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 8\/7 (b) -1 (c) -0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 18. Let d = -7 - t. Let m = -1.17 - -0.67. What is the smallest value in d, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3910 = -2*g + 3*w, 4*g - w = 7800. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 43 + (-23 - (-8 - 11)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140\/2 + 3 + -3?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20555 - 20543. Calculate the highest common divisor of h and 1626.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 63504?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.27, 5, 0.1, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*i - 208, i - 3*o - 30 - 18 = 0. Suppose -4*y - 15 = -i. Suppose d - y = 12. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 6:34 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 - 3*x + 3. Suppose -3*u = 6 - 15. Let c be 7\/(7\/u) + -3. Suppose c = -11*q + 7*q - 12. Give y(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/21))**(-5\/8)*((y**(-6)\/y)\/y)\/(y**(-38)\/y))**12 assuming y is positive.\nAnswer: y**(2609\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 562231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172941 is divided by 59.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4 + 16058128*g**3 - 164*g**2 - 16671*g + 5 wrt g?\nAnswer: 72*g + 96348768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from bpisbbsbbibi.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 6*h - 34 = -a + h, -955*h = -3*a - 958*h + 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 (base 6) in base 9?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -287.886 rounded to 0 dps?\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.032 (c) 3 (d) -0.3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z - 6. Suppose 0 = -q - 6, 144*m - 142*m - 4*q = 18. Let b(y) = -8*y - 7. Calculate m*o(f) + 2*b(f).\nAnswer: 8*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4868057 by -2.\nAnswer: -4868057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163.3997434 + -163.4. Round a to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.03 (c) 5 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501793*g**3 - 250891*g**3 + 3*g**2 - 250898*g**3.\nAnswer: 4*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.486307 + 2.4663. Let o = 0.02 + z. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73481572\/7 or 10497368?\nAnswer: 73481572\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/773, -5, 3, 1\/3, -1?\nAnswer: -1\/773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1479 - -2753. What is the greatest common divisor of 98 and b?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - h - 6 = 5*u, h + 3*u = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/3, -2, -3\/3128?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201382538?\nAnswer: 2, 7, 14384467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 6*q**2 + 2*q - 8. Let r(v) = -7*v**3 - v**2 - 3*v - 2. Let j = -59 - -58. What is the remainder when r(j) is divided by o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 19, 3 in descending order.\nAnswer: 19, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 406067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2. Let l be t(2). Let z = 259 - 252. Suppose -z*o + 3 = -l. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5864 - 4973 - 1420 + 286 + 2045 - 8255)*(-7*k + 0*k - k) to the form i*k + v and give i.\nAnswer: 145448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/20*-1*(-25)\/(-15). Solve 7*n = f + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1532 + 16171 = 7*i. Suppose -27238 - i = -17*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1268095, -2536187, -3804279?\nAnswer: -5072371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407806, 815625, 1223448, 1631275, 2039106, 2446941?\nAnswer: 2854780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4872694.48 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -317*f**2. Let a(p) = -8*p**2 - 2*p - 6. Let t(k) = 26*k**2 + 7*k + 21. Let q(y) = -7*a(y) - 2*t(y). Determine x(q(b)).\nAnswer: -5072*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292.056 + 293. Let n = 0.9440531 - g. What is n rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 71174304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -415 - -1057. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2323 - 740 + 17*q - 785 - q**2 - 741)*(3*q - 2*q + q) to n*q**2 + z*q**3 + m*q + p and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -215*l - 1676. Calculate r(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 1317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 225262273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u + 120 = 0. Suppose -3*z + 4*j + u = -z, 4*j = -12. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 + -0.07. Let r = 4.94 + p. Let o = -0.9 + 1. Sort o, r, 1\/3 in increasing order.\nAnswer: o, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**2 + 6*o + 4*o**2 - 368 + 12*o**2.\nAnswer: -7*o**2 + 6*o - 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.52 and 0.478.\nAnswer: -0.24856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259.481369 - -2.463469. Let t = c - -0.0179. Let r = t - -256.99873. What is r rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*d + 10, 38784*n = 12*d + 38780*n - 44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1454134 - 5142?\nAnswer: -1503320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 3*c**2 - 4 + 1\/20*c**5 + 3*c**3 + 0*c - 5\/8*c**4. Factor z(f).\nAnswer: 3*(f - 3)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4 - 2 + d - 2. Let y be c(5). Suppose 0 = x - 1, 11 = y*v + 2*x - 6. Solve 3*g - 30 = -v*q, -7*q - g = -3*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 23. Let l be q(-5). Solve -f - 2 = o - 4*f, l*f = 3*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148695176\/86367 - 3\/28789. Let t = z - -1740. Let i = -10\/9 + -176\/9. Calculate the common denominator of i and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = x + 4*i + 11, -2*x = i. Which is the closest to 0? (a) -7 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65423063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42013 (base 8) to base 13.\nAnswer: -7c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Let k(t) = -14*t**2 - 6. Let n(h) = -14*h**2 - 7. Let w(d) = 7*k(d) - 6*n(d). What is w(b(c))?\nAnswer: -56*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, v: 2, c: 1, y: 6}. What is prob of sequence bv?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -62338.\nAnswer: 1\/31169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 10*l**2 - 3*l - 8. Let u = 15 + -13. Let g be (u - 3)*10\/1. What are the prime factors of j(g)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -9. Let t = d - 4. Suppose v = t*j - 0*j - 16, 4*v = -2*j + 16. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -943 in -2, 12, -0.3, 3, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622 - 323 = 7*l. Let y = -329\/2 - l. What is the common denominator of 17\/4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 425*h + 4. Let y(o) = -3*o**2 - 1276*o + 11. What is -11*v(a) + 4*y(a)?\nAnswer: -a**2 - 429*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 55*t**2 + 26*t - 15. What is the remainder when 33 is divided by r(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.421559 times 12?\nAnswer: -389.058708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x - 81*x - k - 16 = 0, 14 = -3*x + k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -14, 3 in increasing order.\nAnswer: -14, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*j**2 + 23*j**2 - 10*j**2)*(-1 - 4 + 3)*(j**2 - 2*j**2 + 2*j**2).\nAnswer: -164*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgzddzzd. Give prob of sequence zd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -179729\/27 (b) -1\/5 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135528476 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6 + 6*d - 5*d**2 - 5*d + 3*d - d**3. Let j(s) = -s**2 - 18*s + 2. Let b be j(-16). Suppose b = -5*l + 2*t, 0 = -l - 2*l + 5*t - 28. Determine w(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*4\/8*(-2424)\/1414?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 + 5914*x**2\/3 - 11834*x\/3 + 5918\/3.\nAnswer: 2*(x - 1)**2*(x + 2959)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41356219, -82712406, -124068593, -165424780?\n\"Answer: -41356187*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 17*a - 124. Let y be l(9). Suppose -9*q + 10*q = y. What is the remainder when 257 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3855 divided by 771.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 131, 242, 397?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(750) + sqrt(750))\/(-2*sqrt(216) - (sqrt(6) - (sqrt(6) + sqrt(6) + (sqrt(96)\/sqrt(4) - sqrt(24) - sqrt(24))))))**2.\nAnswer: 3125\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495?\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12137 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10766.\nAnswer: 2, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 39*s - 44. Give y(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than -3\/166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15503 + 0?\nAnswer: 15503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 6245915.2 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0492 + 52.0508. Let l = n + -52. What is the second smallest value in -3, l, 1\/11, 0.2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(176)\/((sqrt(704) - sqrt(11)) + sqrt(11)))\/sqrt(8))**2 - ((sqrt(98) - -2*4*sqrt(98))**2 + 3).\nAnswer: -254079\/32 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -2\/91, -0.2, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4595115 and 218815.\nAnswer: 4595115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*4\/792)\/((-11)\/(-44))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-63) - (2 - 2). Let o = u - -20\/63. What is the closest to 1 in -5, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1318842 + -2?\nAnswer: -1318844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -68, 2210, 10, 2, 1.\nAnswer: -68, -4, 1, 2, 5, 10, 2210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorkooiookrkkook. What is prob of picking 1 i and 3 o?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/6 - (-2 - -2). Suppose x*s + 5*s + 105 = 4*m, 5*m = -5*s + 120. Solve 0 = 5*k - 0*k + m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2250996*t + 2250996*t - 4 + 10*t**2 + 4.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7537759 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 658. Let p(l) = -3*l**2 - 1971. What is -8*i(t) + 3*p(t)?\nAnswer: -t**2 - 649","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q + 2. Let b(i) = -4*i**3 + 10*i - 15. Let t(h) = 4*h**3 - 9*h + 14. Let s(z) = -5*b(z) - 6*t(z). Calculate 9*g(v) + 2*s(v).\nAnswer: v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -295 and 0.4.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 1 = 11. Find the first derivative of -13*t**2 + o*t**2 - 21*t**2 - 36 - 4*t**2 wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-1\/9))*q**(-2\/101)*q*q*((q**(-26)*q)\/q)\/q*q**(1\/3)*q assuming q is positive.\nAnswer: q**(-21430\/909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1132499811 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12*t**3 - 2*t**2 + 39*t + 9. Let l(m) = 23*m**3 + 4*m**2 - 78*m - 17. Let n(g) = 5*h(g) + 2*l(g). Is n(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:57 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3 + 4516399*o**2 + 23776113?\nAnswer: -3*o**2 + 9032798*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 527, 794, 1063, 1334, 1607, 1882?\nAnswer: 2159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -420 (c) -59.766 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 4284 = 2856. What is the remainder when b is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/60 + m**4\/24 - m**3\/3 + 35*m**2. What is y(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 29 + -17 - 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/18)\/(8\/408)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 6, l: 1, n: 3, j: 1, o: 1}. What is prob of picking 1 j, 1 s, 1 n, and 1 f?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**3)\/r)\/r)\/r*r**1)\/((r*r*r**9)\/r**(-1\/12)) assuming r is positive.\nAnswer: r**(-181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2588437 + -0.87716323. Let y = 1.136 + m. Round y to 7 dps.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-5) - (0 - 2) - 2. Suppose -2*x - 3*x + 35 = 0. Suppose -r*t + x = -13. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9 less than -20?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*t**2 - 145*t**3 + 144*t**3 + 5*t**4 - 9*t**2 - 2 + 2*t**2 as y*t**4 + u*t**2 + c + d*t**3 + l*t and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.14, 69, -4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c + 454 = -307 - 55 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((-2)\/5 - 0). Let v = 5 + -1. Let i = -4 + 15\/4. What is the nearest to i in v, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 369036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 + 166*n + 38. Calculate the remainder when g(55) is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 - 4*u**2 + 4*u. Let d(s) be the second derivative of 49*s**5\/20 - 21*s**4\/4 + 21*s**3\/2 + 32*s. Give -4*d(c) + 63*p(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10280027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -6*u. Let k be (-2 + -1)\/(u + 0). Solve -15 = -2*j - k*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14308 or 14207?\nAnswer: 14308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00276647163 rounded to 6 decimal places?\nAnswer: -0.002766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/13 or -2\/29?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.089 in -1, 4, 6, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -28*h. Let s(y) = -47*y**2 + 17*y**2 + 27*y**2. Calculate m(s(l)).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -1?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*h = 4*h - 20, 3*d + 4*h - 50 = 0. Is 1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Let c = -2.053 - -1.853. Sort -0.1, k, c.\nAnswer: c, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o*o**1)\/o*o))\/o*o**1\/o*o)\/(o\/o**(2\/5))**(11\/3))\/(o**(1\/3)\/o*o**5*o)**(-1\/74) assuming o is positive.\nAnswer: o**(-1736\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.12689929 rounded to three dps?\nAnswer: 21.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + 82*u - 12. Let b(d) = d**2 - d + 2. Let z(a) = -4*b(a) - v(a). What is the tens digit of z(-52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 4*m**2 + 2. Let x(j) = -2*j + 7. Let d be 10 - (0 + 4\/2). Let g be x(d). Let p = -5 - g. What is s(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26023302.\nAnswer: 2, 3, 139, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 4\/3 (b) -831 (c) 0.5 (d) -2\/53 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7*d + 12. Suppose -3*m = d*m - 2807. Suppose -m = -5*o + 3*q, -o - 36 + 121 = -3*q. What are the prime factors of o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 163 - 2*c - 3*c + 320 - 160. Let z(h) be the third derivative of h**5\/15 + 3*h**2. Calculate f(z(q)).\nAnswer: -24*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 + 251 + (2 - -2) + -14 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (6 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + x - 1. Let k(m) = -6*m**3 - 12*m**2 + 5*m + 25. What is 5*j(y) - k(y)?\nAnswer: y**3 + 2*y**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r - 33. Let w be n(6). Let j be 1\/(-2) - ((-735)\/(-14))\/w. What is the derivative of -18 + 40 + j + 19*h wrt h?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljsjpplprsrf. Give prob of picking 2 j and 1 r.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-3) + (1 - 12). Let x = u - -17. What is the remainder when (30\/x)\/((-6)\/(-80)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/2 + 27*h**4\/2 + 97*h**3\/2 + 117*h**2\/2 + 23*h = 0. Calculate h.\nAnswer: -23, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*l + 51247 + 19696, -2*p + 3*l = -141881. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1388 divide 680693613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 8*f**2 + 7*f + 5. Let v = 53 - 49. What are the prime factors of g(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 349*d**4 - 310*d?\nAnswer: 4188*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 552\/8*20\/(-90). What is the closest to -1 in 0.5, 1, h, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/27 - 89\/54. Let g = 32 - 31.6. Which is the smallest value? (a) g (b) k (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 315*f. Let l(d) = d - 4*d - 5*d + 4*d. Let k(a) = -2*a. Let v(z) = 3*k(z) - 2*l(z). What is b(v(r))?\nAnswer: 630*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1468343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -11 + (106 - 6)\/5 - -24\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**3 + 4*n**2 - 5*n - 5. Let s(m) = -17 - 89703*m**3 + 89718*m**3 - 11*m + 9*m**2 + 6. Give -9*c(b) + 4*s(b).\nAnswer: -3*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.069 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 28 (b) -0.13 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 47. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/10*(-375)\/300 + (-41)\/(-8). Let g be 1\/4 - (-21)\/(-4). Sort 30, s, g in increasing order.\nAnswer: g, s, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311994172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10*t = -14, t + 4 = 668*a - 667*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**2 - 13*b**2 + 39*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3080 + 189652067.\nAnswer: 189655147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.81 - -1.7. Let v = z + -1.89. Let b = -186 - -553\/3. What is the smallest value in b, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152906 and 3702.\nAnswer: 711343002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 12, -5*m - 5*y + 10*y = 525. Which is smaller: m or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 3*g + 44. What is the remainder when g\/(-10) + -9 + 726\/15 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 24*p**2 + 44)*(p - p**2 - p) + 56*p**4 - 92*p**4 + 48*p**4 + (-2*p + 2*p + 2*p**3)*(-5*p + p + 3*p).\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3 + -0.593.\nAnswer: -3.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.56 + -3.44. Which is the third smallest value? (a) 3\/11 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-162)\/4))\/(52\/(-78))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 39*l**3 + 9*l**2 + 2 + 52*l**3 - 8*l**2. Let z be 2 - (1 + 0\/4). Is q(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 68*k**2 - 32*k + 30. Suppose 4*a + 14 = -54. Let h be v(a). Suppose 8*g - 2*g - h = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 4:44 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2668 - 2661. Let b(u) = u**2 - 3*u - 8. What is b(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -183520*k*r**2 + 315186*r**2 wrt k?\nAnswer: -183520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/7 - 307996*c**2\/7 - 851862624*c - 187783654464.\nAnswer: -4*(c + 223)*(c + 38388)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + -45. Let d = -58 - g. Which is smaller: 12 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 28923?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4302 - -4302.3. Which is the closest to 2\/3? (a) l (b) -28 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Suppose -2*p + 4*t = -52, 20 = 2*p + 2*t + 2*t. Let h = p - 19. Let a = h + 6. Solve 5*u = a*o + 10, -4*u + 9 = -o - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100100000 + 11?\nAnswer: 11011100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -63, -3, -6 in descending order.\nAnswer: 4, -3, -6, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 20 = -0*f. Let c = f - -7. Suppose k + c = t, -2*k + 4*t - 8 = -0*t. Let a(r) = 3*r. Give a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Is (2\/r)\/((-2)\/(-148)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -467301, -467262, -467223, -467184, -467145, -467106?\n\"Answer: 39*h - 467340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x = -160. Is 5 a factor of 296\/x - 6\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 32 = 3*n. Solve -4*b = 2*k + n, 2*k - 4*k - 8 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 1270368.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 4. Let b(f) = 54*f + 2*f**2 + f**3 + 54*f - 4 + 54*f - 211*f + 54*f. Let l(s) = 2*s**3 + 3*s**2 + 9*s - 7. What is d*l(u) - 7*b(u)?\nAnswer: u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12707*m**2*n**3 - 40*m*n**3 + 2*m*n + 15*n**3 wrt m?\nAnswer: -25414*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 223?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/4 + 593*h**3 - 2393*h**2\/4 - 11865*h.\nAnswer: h*(h - 5)*(h + 4)*(h + 2373)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose -2*j + 4*j + 8 = k, -3*j - 8 = -x. Does 2 divide (18\/x - -2)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31395004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t**2 - 56*t - 2. Let c(w) = 31*w**2 + 172*w + 5. Determine 3*c(k) + 8*p(k).\nAnswer: 5*k**2 + 68*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16264\/(-56) - (-9)\/21. Let q = 290 + x. Put 1\/8, -2, q in increasing order.\nAnswer: -2, q, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97143 is divided by 1057.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.44 + -4.94. Let n = 50 + -48. Let t = 0.07 - 5.07. Which is the nearest to n? (a) t (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*a - a - 27, -3*m = 3*a. Suppose 4 = 4*w, m*w - 49 = -5*o - 16. Let c be 2\/3 - (-80)\/o. Calculate the greatest common factor of 70 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*4\/(-16) + (-2 - 42). Let f = 437 - 436. Put f, 0, x, -2 in ascending order.\nAnswer: x, -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -770, 0.5, 3, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32130\/3230 - 2*(-4)\/152?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (4 - 6) + -4. Let a(o) = 4*o**3 - 287*o**2 + 294*o**2 + 6*o + k*o - 1. Let n(y) = y**3 + y**2 + y. What is -a(w) + 6*n(w)?\nAnswer: 2*w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4627 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 10*v = -360. Suppose 0*s + s - 4 = 0. Calculate the remainder when (-2)\/(-12) - 2260\/v is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j = 101 + 607 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31304 and 706456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4986)\/(-271737) + 19156\/1526 + 54\/(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 52 - 203. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19254 - 346681\/18. Let s be (-456308)\/(-14)*(-2)\/8248. Let u = s - 26\/1031. Calculate the common denominator of f and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + m)*(-4 + 5 + 5) - 2 + 5*m + 2.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 756231631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34733 - -34732.9998864. What is x rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.351 (b) -1 (c) -1163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 601. Let u = -512 + w. Solve -5*x + 3*x = u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/4 + 10*o**3\/3 + 5*o**2\/2 - 8*o - 7. Let x be n(-7). Suppose -x = -21*a + 17*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)\/(13\/2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -22*r - 17. Calculate the remainder when 37 is divided by m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, -8, -16 in descending order.\nAnswer: -8, -16, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 11*o**2 + 4*o - 48. Let z(w) = -w**3 + 30*w**2 + 38*w - 206. Let p be z(31). Give n(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1190 = -5*u, u = -4*f + 52 + 894. Calculate the remainder when f is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/20 - 17*c**4\/12 + 17*c**3\/6 - 3*c**2\/2 - 6*c. List the prime factors of d(-18).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 12 + 40*g**2 - 4 - 1 - 4*g as x + k*g + q*g**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15489 - 232246\/15. Let z = 26\/15 - f. Which is greater: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-5 - -2) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105249, 105195, 105141, 105087, 105033?\nAnswer: 104979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1)*h*h*h)\/h)**(1\/45)*(h**(-9)*h)\/h**(-3) assuming h is positive.\nAnswer: h**(-223\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuhh when four letters picked without replacement from {h: 4, e: 1, u: 2, n: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + 35. Let g be p(-4). Is 15 a factor of (-2 - 1)*(5\/g)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - 123.5. Let m = p + 111. Let x = m - -14.00000015. What is x rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 2, l: 2, w: 2, d: 5, t: 3}. Give prob of picking 2 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**3*o*o)*o))\/o**(-3\/2)*(o**(1\/8))**40 assuming o is positive.\nAnswer: o**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -726 - -5815\/8. Let f = 26 - 30. What is the common denominator of q and 135\/(-44) - 1\/f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 + 2*i. Let o be p(-2). Let g be -3*1*15\/(-9). Factor 10*b**5 + 10*b**5 + 8*b**4 - 4*b - o*b**g - 8*b**2.\nAnswer: 4*b*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4.648321, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*k - 23, -4*r + 2*k + 100 = 86. Solve r = 14*v - 38 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (281 - 284) + (-18 - 0) + -3 + (0 - 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 - 4*y + 2. Let d be r(2). Differentiate -4*t + 4*t + d*t**4 - 11*t**4 + 2 wrt t.\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/7 - 25*k**2\/7 - k\/7 + 25\/7 = 0.\nAnswer: -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776321 is divided by 774.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -879*i. Let o(r) = r**2 + 61438. What is o(x(f))?\nAnswer: 772641*f**2 + 61438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7719 and 16932.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-5)*10*((-22)\/(-572))\/(20\/(-130))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 618 = -5*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -793*q**3 - 25*q**2 - 35*q - 7555. Let b(n) = -264*n**3 - 8*n**2 - 10*n - 2518. Let x(u) = -7*b(u) + 2*s(u). Find the first derivative of x(t) wrt t.\nAnswer: 786*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/373199 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2328 by 8.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166976850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 78*t - 43*t - 35*t - 10*t**2 - 4*t**2 + 20*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2509 > -2509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -18*i + 2*i. Let t be i*(-3 - 4)*1. Solve 0 = 2*s - t*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 + (-3 - 0)) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48267 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3671 or -18348\/5?\nAnswer: -18348\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(2*4\/(-8)). Let v = 4 + -5. Suppose -10*d = -13*d + 27. Sort c, v, d in ascending order.\nAnswer: c, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 95 - 8*w - w - 18*w + 61 + 35. Let k be t(7). Solve -11 = -8*o + 3*o - 3*d, 0 = -o - k*d + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 b when four letters picked without replacement from bbbbbbcbbcc?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 294 = 37*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -22*n**2. Let i(y) = -2*y - 5. Let l(j) = -j - 2. Let f(b) = -2*i(b) + 5*l(b). Calculate k(f(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2344538 and -101\/51170.\nAnswer: 504075670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7528336.\nAnswer: 2, 470521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2521540.\nAnswer: 2, 5, 7, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + 2*l**2 + 10 - 18 + 12 + (0*l**2 - l**2 + 0*l**2)*(2*l**3 + l**3 - 2*l**3).\nAnswer: -4*l**5 + 2*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24998 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3359 take away 6890?\nAnswer: -10249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + sqrt(175))*3)**2 + 0 + 3*(sqrt(1008) + (sqrt(1008) - (0 + sqrt(1008)))).\nAnswer: 36*sqrt(7) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864) + sqrt(864) + -2*sqrt(864) + sqrt(864))\/(sqrt(72)\/sqrt(4))*2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271847 divided by 15991.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 1, g: 11}. Give prob of sequence ggf.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/91*(-140)\/40. Put 1\/2, 27, q in increasing order.\nAnswer: q, 1\/2, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 21 + -12 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 21*h**2 - 29*h - 28. Is n(-20) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 11*p**2 + 0*p**2 in the form b + g*p + n*p**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-12)*640\/12720\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:43 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-2 + 5 + -1 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*n - 2*k - 4, -3*n + 4*k = -14. Suppose 2 = -g - n. Sort g, 1, 4 in decreasing order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 61*g**2 - g + 23*g**2 + 18*g**2.\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -13 + 4\/45*q**5 + 1\/18*q**2 - 1\/9*q**4 + 2\/9*q + 1\/18*q**6 - 2\/9*q**3. Solve v(g) = 0 for g.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 1. Let f(p) = 8*p - 1. Let k(j) = 10*j + 1. Let v(o) = f(o) - k(o). Calculate 3*v(c) - 2*x(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191849255?\nAnswer: 5, 13, 37, 241, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09423907 and 0.39706.\nAnswer: 0.49129907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 13. Calculate z(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 17*q + 121. Let m be y(-7). Sort -4\/9, -3, -0.03, m in descending order.\nAnswer: m, -0.03, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3184680 is divided by 653?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 481*t = -482*t + 2, -4*t = 3*x - 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-6) - (-1090227)\/653769. Is q smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a week?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-138)\/10 + 8\/10. Let g(l) = -34*l - 1. Let c(n) = 17*n. Let w(z) = -5*c(z) - 2*g(z). What are the prime factors of w(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0 - -8) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -4*p + 0 + 3\/2*p**2 + 1\/12*p**4 + p**3. Let r(h) = -h**2 - 8*h - 4. Let x be r(-8). What is n(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*a + 25, -5 = -5*u + a. Suppose -2*v = -3*z - 7, 3*v - v - u = -2*z. Solve -v*q + 4*h = 0, q = -q + h + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 9*a - 55 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {o: 1, z: 12}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 94*y**2 + 777*y + 1520. Calculate c(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 89.95. Which is the nearest to n? (a) 0.5 (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1120*l - 4787 = 8000 - 2707 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 take away -3935230.04?\nAnswer: 3935229.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 579563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + b + 190 = -316, 843 = 5*g - 2*b. Calculate the highest common divisor of g and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/7)*f**(5\/7) assuming f is positive.\nAnswer: f**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*y - 4*y - 4*c, 5*c + 13 = -4*y. Let w = y - 55. Is -51 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-2))\/4*(-101)\/2828)\/((-3)\/12)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2001111121 (base 4) to base 8\nAnswer: 2012531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, y: 1, n: 1, o: 1, c: 4}. Give prob of sequence yc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.11, -0.1701, 1\/6 in increasing order.\nAnswer: -5, -0.1701, -0.11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 9*t - t - 16*t**2 + 6*t**2 + 5. Let d be y(-9). Suppose 5*v - 3*w = d, -4*w + w + 6 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112\/5, 0.18, -32, 2.\nAnswer: -32, 0.18, 2, 112\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 6:28 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 - 200. Let l(o) = -2*o. Let z(r) = 6*r - 1. Give a*z(q) + 7*l(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 10 = 3*w, -145*s = -143*s - w + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/9 - 52*x**4 - 28738*x**3\/9 - 52744*x**2\/3 - 14440*x = 0.\nAnswer: -114, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 40. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1. Let u(v) = -6*v - 10. Let w(n) = -10*r(n) + u(n). Let s(k) = -3*k + 2*k + 2*k. Calculate w(s(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 5 - 4 - 5*g**2 + (-2 + 1 - 1)*(3*g**2 + 4*g - 4*g) - g**2 + 2*g**2 - 3*g**2 + 5*g**2 + 2*g**2 + 0*g**2.\nAnswer: -5*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1932 and 82\/2340135.\nAnswer: 9360540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50934 + 15*c - 50931 - 50926 + 5*c - 50932 + 203723.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3 + 22*b**2 - 121*b = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 1. Let o be g(2). Suppose o*w = 4*w + 12. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, f: 4, b: 1}. What is prob of sequence vvvv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*y - 15 = 0, -15 = -5*l + y - 2*y. Suppose -1 + 9 = -l*h. Put h, 2, 0 in descending order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 717245*g**4 - 4*g**3 - 240111*g - 105 wrt g?\nAnswer: 8606940*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -60, -2.\nAnswer: -60, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4454.178 to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-4)*6\/(-28)*(-4640)\/1392\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40298.1182 rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145808, -145759, -145710, -145661?\nAnswer: -145612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfzfbfzfzfzfzz. What is prob of picking 1 z and 1 f?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*-6*15\/60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*-5)\/sqrt(6) + -2.\nAnswer: -5*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -36. Let u = 16 + v. What is the first derivative of -9 + 10 + 12 + 0*n**u - 13*n**3 wrt n?\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -88?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 95 = -3*r, 0 = 4*u - 5*r - 58 - 77. Let a = u - 44. Let n be a + 32\/12 + 2\/6. Is 2\/91 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2 and 151\/53634.\nAnswer: 53634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 10*h + 7. Let u be y(4). Suppose -42*i = -37*i - u. Suppose -2*m + 19 = -3*c, i*m = m - 5*c + 59. Solve -42 + m = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 364245 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5. Suppose t + 7 = 2*c. Suppose -c = -i + 30. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r + 2*r**3 + 3 + 760*r**2 - 760*r**2 + (r - 3 + 3)*(0 - r**2 + 0) in the form d*r**3 + y*r**2 + w*r + t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {t: 2, p: 7, d: 3}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6550*q + 59. Is p(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 4, 5, 323, 7 in decreasing order.\nAnswer: 323, 7, 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14378 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 6 + j - 5*j + 0 + 1. Suppose -l + 3*l - 16 = 0. What is the units digit of b(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 569001660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/82 and 40\/3690*((-21170)\/(-464) + 7*-1)?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11*11\/(-847)*7. Sort 8, -2\/3, -0.4, z in increasing order.\nAnswer: -2\/3, -0.4, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 11:09 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = r, 4*f - 20*r + 56 = -8*r. Which is smaller: 45\/106 or f?\nAnswer: 45\/106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/5*(-25)\/10. Let r = -6\/41 - -112\/205. What is the closest to r in -2\/7, -2\/15, i?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 48*a + 90. Is n(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -27*l**4 - 105*l**3 + 87*l**2 - 9*l - 18. Let i(q) = 81*q**4 + 317*q**3 - 261*q**2 + 28*q + 51. Let p(k) = -6*i(k) - 17*z(k). Solve p(w) = 0.\nAnswer: -5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2941\/12 and 246 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-18))\/(42\/(-9))*3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -42 (b) 2 (c) -1\/2 (d) 8 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 3*m**2 + 45054*m + m**2 + 91*m**4 - 45056*m - 1 + 4 - 2*m**3 to the form c*m**4 + h*m**2 + a*m + j + d*m**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13329, -28731, -44117, -59481, -74817, -90119?\n\"Answer: j**3 + 2*j**2 - 15415*j + 2083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 5*p**3 + 0 + (-2*p**2 + 17 - 17)*(-p + 3*p - 3*p) + (4*p - 2*p + 0*p)*(p**2 + 0*p**2 + 0*p**2) + 3*p**2 - 3*p**2 + 2*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6742, -6745, -6748, -6751?\n\"Answer: -3*o - 6739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srwxxxsvsr. Give prob of picking 1 x and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/35*(-12684)\/(-453) + (-28)\/(-10)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5302 - 35?\nAnswer: -5340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*s = 227*s - 3*t - 801553, 400775 = 2*s - t. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -8. Let m = -0.2 + 0.2. Let h = 240 - 239. What is the closest to m in 0.5, c, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 + 446627?\nAnswer: 446626.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 9:32 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0.0738, -30143 in increasing order.\nAnswer: -30143, 0.0738, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -20 - -151) + -277.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34413 (base 5) to base 10.\nAnswer: -2483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/5 - (-1061)\/(-410) - -2. Let q = 10883 + -10886. Put s, -3\/8, q in descending order.\nAnswer: s, -3\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a6a1 + 1?\nAnswer: 1a6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0*q + 0 + 0*q**4 + 1\/4*q**6 + 43\/60*q**5 + 0*q**3 + q**2. Find the third derivative of x(h) wrt h.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1973 + 0.165. Let h = -73.984 - -74. Let z = w + h. What is z rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 71*r + 3341. What is t(-47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 4 + b**2 - 4*b**2 - 2*b**3 + 3*b. Is g(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(45)*2 + ((1 + sqrt(125) - sqrt(5)) + sqrt(180) + 0)**2.\nAnswer: 26*sqrt(5) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**38)**(-27) assuming a is positive.\nAnswer: a**(-1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 90*u + 585 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 + 124 - (-1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 117443\/627 and 188 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/3 + 3*m**2\/2 - m. What are the prime factors of p(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q - 2*q**2 + 1\/27*q**3 + 0 + 1\/945*q**7 - 1\/27*q**4 + 1\/45*q**5 - 1\/135*q**6. Factor o(i).\nAnswer: 2*(i - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let y = 2.7 - 16.7. Let r = y - -18. Put r, a, -3\/7 in descending order.\nAnswer: r, a, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Let b = f - 0.0022. What is b rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5172090 by -21.\nAnswer: 246290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56129.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -105 * 1671868\nAnswer: -175546140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -1070, -2262, -3912, -6014, -8562?\nAnswer: -11550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11462 + 151*b**4 - 149*b**4 - 161*b**2 + 11461 to the form x*b**4 + v*b + f + c*b**2 + t*b**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.4 (c) 4 (d) 0.0608\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1201467*s**6*w**3 - 2*s**2*w**3 + 188*s**2*w**2 - 2*s**2 + 123*s*w**2 wrt s.\nAnswer: -144176040*s**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 694*s = -697*s - 12, -s + 44 = 5*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 15. Let j be n(-9). Suppose 25*m - j*m = -2*m. What is the smallest value in 117, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218968, -218970, -218972?\nAnswer: -218974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/14)\/((-4)\/(-1022)). What is the highest common factor of 146 and j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -407 - -4474\/11. Let b = 0.7 + 4.3. Let j = b - 4.9. Is v greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*a = -40, a + 3*a = 5*b - 98. Let f = -235 - -236. Solve 3*o - 4*w = b, w = -f - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*b + 116*b + 5*b**2 + 115*b.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/30 - (8 - (-247)\/(-30))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31060180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 79*y - 75*y + 12, 3*y + 15 = 0. Solve -z*a + 182 = 18*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-169)\/1183*1*5. Suppose 3*j + 2*r + 2 = -j, -3*r + 3 = 3*j. What is the second smallest value in -1, c, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3653, 3645, 3633, 3617, 3597, 3573, 3545?\n\"Answer: -2*a**2 - 2*a + 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x + 1. Let v(l) = 14*l + 1. Let p(w) = -8*r(w) + 5*v(w). Suppose -4*c - 4*m = -3*c + 10, m + 2 = 0. What is p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 13. Let k(d) = d**3 + d - 4. Let s be k(0). Let y = r + s. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 175\/6864 and -75\/1232?\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1453110*j + 726551*j + 726552*j - 35*j**2.\nAnswer: -35*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 6 + 159 + -169.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 13*a + 124. Calculate z(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 624 - 357. Let h = 264 - t. Let q = 0.5 + -0.6. Sort 1\/2, 1.1, h, q.\nAnswer: h, q, 1\/2, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w - 13 = -25*w + y, -5*w - 3*y = -33. Let b be w\/((-36)\/(-7)) + (-3)\/(-12). Factor 0 + 0*p**b - 2\/3*p**3 + 2\/3*p.\nAnswer: -2*p*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/6, -2\/19, 25, 2\/113?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2369769\/6528590 - -6\/34361. Let l = 2\/67 + 3141\/268. Find the common denominator of l and c.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5312 and 2988?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -9. Let g be ((-8)\/z)\/((-2)\/(-3)). Suppose 0 = -g*b + 859 - 189. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.13 + -78.13. Let q = s + 61. Which is the second smallest value? (a) 0 (b) -0.5 (c) -2\/7 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 104 - (-898 + 862)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**10\/1134000 - k**9\/453600 + k**5\/15 - k**2. Let p(n) be the third derivative of q(n). Suppose p(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31047643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/47 in 0.3, 0.5, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.2. Let v = 87 - 88. What is the closest to m in v, -4, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(14\/13)\/(q**(2\/7)\/q**(-1\/9)))**26 assuming q is positive.\nAnswer: q**(-2414\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*f = 4975 - 5075. Put 4, f, -3, 701, -5 in decreasing order.\nAnswer: 701, 4, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiwiiiw. What is prob of picking 2 i?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.111 - -0.021. Let d = g + 0.49. Which is the nearest to -2? (a) d (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 - y. Let j(t) = -14*t**3 - 4*t**2 + 4*t - 34. Let n(a) = j(a) + 4*z(a). Find the first derivative of n(o) wrt o.\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3016 - -6974. Suppose 0 = 4*r - 9*r - 3*b + d, -793 = -r - 2*b. What are the prime factors of r?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a44a - -348?\nAnswer: -4a102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 6335*b**3.\nAnswer: -b**3*(b - 6335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061065 is divided by 1732.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 177004, 354591, 532178, 709765?\n\"Answer: 177587*i - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1150 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 z, and 1 v when three letters picked without replacement from {z: 6, h: 3, y: 1, u: 3, s: 1, v: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015042 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 12*i + 25. Determine l(-9).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - -25 - 1*-5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 5) to base 7.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((0 + -1)\/1). Suppose 4*s - d*s = 53. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 9. Let a(r) be the third derivative of r**5\/15 + 104*r**2. What is a(n(z))?\nAnswer: 36*z**2 + 216*z + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15.2. Which is the second biggest value? (a) 2 (b) 3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -10. Solve -6*x = -x + v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -0.174919443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(27) - (sqrt(189)*1)\/sqrt(7))\/((sqrt(9) - (sqrt(9) + (sqrt(441) - (sqrt(441)*-3 - sqrt(441) - sqrt(441))))) + sqrt(9) - sqrt(9)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35999 - 35990.55. Which is the third smallest value? (a) i (b) -1 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*i + 116, 109*g - 112*g + 4*i - 80 = 0. Let l be 13\/((-39)\/90) - 1. Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -11*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10580\/81 - 88\/405. Let j = 130 - a. Let q be ((-2)\/90)\/1 + 13\/(-65). What is the closest to -0.1 in j, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -30.\nAnswer: -29\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -16*p**5\/5 + 11*p**2\/2 - 16. What is the second derivative of t(c) wrt c?\nAnswer: -192*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 3*t - t)*(-147*t + 166*t + 217*t + 5 + 2*t - 5 + (2*t + t - 2*t)*(-3 + 2 + 2)) + (-t - t + 3*t)*(t - 1 + 1) + 2*t**2 - t + t.\nAnswer: 481*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 2*s - 8. Let y be v(-6). Let j = -63 - y. Let p(g) = 4*g**2 + 5*g - 17. Is 16 a factor of p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413 divided by -7\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -732 in -1.1, -3, 2\/5, 2, 134?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/11, 2, -0.05, -0.77?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 2*j - 19 + 17 = 164, -4*j - 172 = -8*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.8565 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019257953 rounded to 7 dps?\nAnswer: 0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1148\/285 - 93\/19. Calculate the common denominator of -4\/3 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 - u**2 + 4 + (-6 + u + 6)*(1 - u - 1) + 2 - 2 - 2*u**2 to x + c*u**2 + s*u and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -25. Suppose 0 = 4*g - 8, -5*g = -3*z + p + 17. 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 c = 96 + -359. Let m be (c + -1)*(-1)\/2. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.11849 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 853704 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12202 or -12504?\nAnswer: -12504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 607 - 270 - 144*m - 33 - 2*m**2 - 2*m**2.\nAnswer: -4*(m - 2)*(m + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*t**3 + 38*t**3 - 2 - 6*t**3.\nAnswer: 221*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 37*v - 133 = 0. Let h(q) = q - v - 1 - 1 + 4 + 7. Let u be ((-2)\/(-4))\/(2\/(-20)). What is h(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14438.\nAnswer: 2, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmddmddmdmdddm. What is prob of picking 3 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 26 + 150. Suppose 4*o - 30 = 3*l + 130, 12 = 3*o. Let r = v - l. 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 the common denominator of 99\/469286 and -3\/9676?\nAnswer: 938572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 64, 1, -2, 5 in increasing order.\nAnswer: -8, -2, 1, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 28489 = -13*p + 14*p, -3*p - 37987 = -4*s. List the prime factors of s.\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2765 is divided by 248.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -3, 5.43, 0, -16, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1561 plus -1466007.636?\nAnswer: -1466007.7921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*3*(-584)\/(-219). Suppose -m + 0*q = -3*q - z, -34 = -3*m + 4*q. Let j be ((-2)\/(-6))\/(3\/63). What is the greatest common factor of j and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 0 = -6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 25 = 5*f, -f - f = 4*j - 14. Suppose 0 = 3*r + j*h + 3, -6*r + 2*r = -4*h - 28. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m + 4*y - 5 = 23*m, -4*m - 12*y + 24 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 4 - (6 + -4). Let l be 2 + ((-4)\/(-2) - i). Suppose -l*f + 100 = f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -79, -1, -4\/7, -0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 1. Let j(v) = 3*v - 7594*v**2 - 7597*v**2 + 22788*v**2 - 7596*v**2. Calculate -g(q) - j(q).\nAnswer: -2*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0579 - 73?\nAnswer: -73.0579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 31 = 3*g. Suppose -28*a + g*a = -52. Is 16\/((-20)\/5) - a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 3071?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233 (base 4) in base 11?\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 66 = -2*d. Suppose i = 5*i + d. What is the units digit of 9\/i*(-5 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 14*v**2 - 33*v - 107. Give d(-12).\nAnswer: -1151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*f + 4 = 0, 4*f - 7 = -5*x - 12. Solve x*s + 3*c = 12, 0 = 2*s + 33*c - 35*c + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzzu when four letters picked without replacement from {x: 3, m: 1, z: 3, b: 1, u: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111111100010110 (base 2) to base 16.\nAnswer: ff16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 14*y + 15. Let s be j(14). Calculate the greatest common divisor of 6 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 71c1?\nAnswer: -71c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*v - 812*v - 1203*v - 62*v + 235*v + (0*v + 3*v - v)*(3 - 4 + 3) + 0 + 0 - 2*v - 3*v - 4 + 4)*(-v**2 - 2 + 2).\nAnswer: 1902*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1099, -4604, -14109, -27416, -44525, -65436?\n\"Answer: -1901*u**2 + 3000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Suppose 31 + 13 = 11*o. Sort -1, o, m in decreasing order.\nAnswer: o, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 5*q**2 - 12*q**2 - 10*q**2.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 743160, 1486327, 2229494, 2972661, 3715828?\n\"Answer: 743167*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0742447 + -1186\nAnswer: -1186.0742447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 + g**2 + 3*g - 1. Is o(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39\/(19\/4 + -4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*f + 9 + 3, 5*f - 15 = 5*a. Solve f*i - 6 = -3*c, -4*c + i + 6 = 3*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -1 (c) -2\/3 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 51600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 158, 276, 394?\n\"Answer: 118*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 147 = 133. Let v be -2*(r\/(-4))\/(-7). Let y(k) = 3*k + 3. Let n be y(-2). Sort n, v, 4.\nAnswer: v, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-20) - (-39 - 13662\/(-330))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7560 and 33957.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68\/287 + 2\/41. Let t be 2\/(-7) + 33\/(-7). Let f be (-3)\/(-15) - (-1)\/t. Is r smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -520 * -0.505.\nAnswer: 262.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgg when three letters picked without replacement from gggggggdgggggggggg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 20. Let k = -33 - -37. Suppose -3*q = k*f + 22 - 93, -q = 3. Let o be s(f). Is -2\/103 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(0\/((5 + -11)\/6) + -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyef when four letters picked without replacement from fexxfefdefyfxx.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 125, -5 in decreasing order.\nAnswer: 125, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304913 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 + 3*g + 3. Let x be w(11). Let f = x - 1383. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -14.7. Let f = -0.9 + 5.9. Let k = 0.6 + -2.6. Put k, f, v in decreasing order.\nAnswer: f, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 9*r**2 + 8*r + 3. Let m be g(8). Factor -2*f + 3*f + 4*f**m + 2*f**2 - 3*f**3.\nAnswer: f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82341998 is divided by 41170999.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10125 - 16235?\nAnswer: -6110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqii when four letters picked without replacement from qiqqiiiqqi?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28708427202 plus 7.68?\nAnswer: 28708427209.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12606 by -4.\nAnswer: 6303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - g**2 - 33*g**2 - 4*g - 2.\nAnswer: -34*g**2 - 4*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 150397 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 570 and 9207390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464235?\nAnswer: 3, 5, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 v when three letters picked without replacement from {s: 2, v: 3, p: 2, i: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 23. Solve -z*t = -5*t - d - 3, -5*t - 5*d - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q - 2. Let x(u) = u**2 + 13*u - 17. Let z be x(-14). Let h(s) = 5*s - 1. Let l be -4*(-2 + 1 + 0). Give l*h(g) + z*v(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 - 30 = 3*v. Let y be (-1)\/(-5) - v\/25. Suppose u - 1491 = -y*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33302 + -33284. Calculate the remainder when 1168 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.7 - 7. Let n = 1 + 2. Let o = 0.5 - 0. Sort u, o, n in descending order.\nAnswer: n, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:06 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2130 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/2, -351972\/11 in increasing order.\nAnswer: -351972\/11, -1\/2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 3. Suppose 2*p - 6 = -p. Let k(r) = -r**2 - r - 1. Let n(z) = -9*z + 314. Let b be n(35). What is b*f(c) + p*k(c)?\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 - 4*v + 1. Let p be o(-3). Let l = 3\/697 - -98271\/1394. Let g = -70 + l. Which is the closest to -3\/2? (a) g (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11627, -46436, -104299, -185090, -288683, -414952?\nAnswer: -563771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 33*v - 4 + 0 - 85*v + v**2 + 51*v. Suppose -75 = 5*a - 240. Suppose -2*m = m - a. Let w(r) = -6*r**2 + 5*r + 21. Give m*q(t) + 2*w(t).\nAnswer: -t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7 and -2 + (-66)\/(-4) + -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62417 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) - sqrt(250))*5.\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/386 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 213233\/36938 - (-22)\/(-4)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.092117188 to three dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7609 is divided by 3801.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -7.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w, 3*w - 1780 = -18*t + 13*t. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from {v: 3, l: 6, w: 2, s: 3, u: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-8))\/((-2)\/(-12)). Let m be 0\/l - (2 + -6). Solve t - 4*t = -4*w + 8, m*t + 4*w = -20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -114, -0.3, -1\/2 in descending order.\nAnswer: -2\/9, -0.3, -1\/2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 342896869 + 3?\nAnswer: 342896870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 + 3*x**2 - 3*x + 5. Let k(d) = 5*d**3 - 4*d**2 + 4*d - 6. Determine -5*k(n) - 6*o(n).\nAnswer: 5*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from uuwywuuuwfufytw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/15 - (-3)\/((-30)\/(-32)). Let k be (40\/570)\/((-1)\/(i\/(-2))). Suppose o = -2*o. What is the closest to o in 2, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29721460037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 2. Let x be c(-3). Let r(p) be the first derivative of -5*p**2\/2 - 5*p - 9. Let z be r(x). What is the highest common factor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2574, -4788, -7052, -9372, -11754, -14204, -16728, -19332?\n\"Answer: -v**3 - 19*v**2 - 2150*v - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 182 = -j. Let h be j*-1*(2 + -1). What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 16\/(-20))\/(0 - (-162)\/(-60)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187496 and 552?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-19)*g*g*((g\/g**(4\/17))\/g)\/g assuming g is positive.\nAnswer: g**(-293\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 6. Let b be (-4)\/(-22) + (-1374)\/(-66). Let n = b - 16. What is the remainder when f is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*2\/(-8) - -24. Suppose 9*v = 22*v - x. Suppose -2*g = 4*p - 0*g - 98, -2*g - 94 = -4*p. Calculate the highest common factor of p and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 12861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (13 + -7))\/(2\/(-540)). Let d = -206 + j. List the prime factors of d.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2239 + 2247 - 4490 - 143*t + (-2 + 2 + 2*t)*(1 - 3 + 1) + (4 + 0 - 3)*(0*t + 2*t + 0*t).\nAnswer: -143*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = 4*t. Let s be (1879986 - 0) + 1 + t. Suppose -2*h - 2*k - 1879980 = 2*k, 0 = 2*h + 3*k + s. Round h to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 34. Suppose 4*t = 5*w + 55, 4*w - 7*w + 5*t = y. Let p be 1*(-2 - (-3 + 2)). Is w less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -170, -205, -240, -275, -310, -345?\n\"Answer: -35*c - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1 - 1439*r**2 + 1436*r**2 + 2 + r. Give s(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 + 10*q - 57. Let j(o) = -2*o**2 + 5*o - 29. Let m(c) = -5*j(c) + 2*n(c). Is m(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 10, 13, 16, 19?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/2909 (b) -0.039 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 - 747 + 250 + 252 + 369*m + 364*m.\nAnswer: 733*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**3 + 151*u**2 + 306*u + 6996. Give t(-25).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -7\/8*m**4 + 0*m**7 - 15*m**2 - m + 19\/84*m**8 + 0*m**6 + 0 + 0*m**5 + 0*m**3. What is the second derivative of h(q) wrt q?\nAnswer: 1520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 14 = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44516811?\nAnswer: 3, 14838937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/112 and -21\/404.\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3195 and 50981.\nAnswer: 162884295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 408729663 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -19 + 1. What is the second derivative of -f**3 - 90*f + 82*f - f**y wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 50*h**3 - 8*h**2 + 5*h. Let f(v) = -52*v**3 + 10*v**2 - 6*v. What is 6*a(t) + 5*f(t)?\nAnswer: 40*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 20229 = 1896. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 2.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 3*n - n**2 - 1\/20*n**5 + 1\/6*n**3 + 0 - 1\/4*n**4. What is t(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l = -240*l - 1330 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, a: 3, c: 3, s: 4, i: 1, r: 1}. What is prob of sequence iaa?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32195.5 - 150298312\nAnswer: -150330507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8623 is divided by 133?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 85*t - 5. Let w(c) = 297*c - 18. Let n(y) = -18*s(y) + 5*w(y). Let a(o) = -o - 3*o + 8*o - 2*o. Give a(n(u)).\nAnswer: -90*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -11478.\nAnswer: -5\/11478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49583 is divided by 167?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325131293 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3813, 6755, 9733, 12759, 15845, 19003?\nAnswer: 22245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*j - 72 = -4*u, -j + 82 = 3*u. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4554, 4548, 4542, 4536?\n\"Answer: -6*v + 4560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/6, 3049\/6, -1\/2, -32.\nAnswer: -32, -1\/2, -1\/6, 0.4, 3049\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let w(b) = 6*b - 91*b - 11*b. Calculate w(r(z)).\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Suppose 4*l = -m*n + 4*n + 14, -4*l + 12 = 0. What is the tens digit of -3*(-1 - (-10)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 97\/23832594 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*z*z**(-2)\/z*z)\/((z**(2\/15)*z)\/(z\/z**(-1\/2)*z)) assuming z is positive.\nAnswer: z**(221\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.32435 times 38362\nAnswer: 12442.7147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -130513 and -0.02.\nAnswer: -130513.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 689 + -689. Let z(d) = -86*d**3 + 7*d**2 + 1. Let c be z(-5). Suppose c = -a*g + 6*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 3*g - 2*g - 2*g. Let r(l) = -6*l**2. Calculate o(r(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1830, -1939, -2048, -2157, -2266?\n\"Answer: -109*q - 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 445803890 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 + -304. Let s = 227 + o. Find the common denominator of (-2 - s)*(-10)\/(-20) and 41\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10846110409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5173, 5174, 5175, 5176, 5177?\n\"Answer: w + 5172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p\/p**(2\/7)*(p**(1\/4))**45)\/((p**(-3\/7)\/p)\/((p*p**4)\/p)*(p*p**6*p)\/(((p*p**(-1\/5))\/p)\/p)) assuming p is positive.\nAnswer: p**(278\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/(o\/o**(-2\/9)*o)*((o**2*o)\/o)\/o**(-1\/5) assuming o is positive.\nAnswer: o**(269\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 10 + 439 + -58 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102112212220 (base 3) in base 12?\nAnswer: 307159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 24*x**2 + 67*x + 4. Calculate k(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-20)*25*(-168)\/(-60).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56253 is divided by 3656.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4497247233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}