diff --git "a/data/dm_maths/full_data_2/10556_11255.jsonl" "b/data/dm_maths/full_data_2/10556_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10556_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the greatest common factor of 792 and 2673?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -868 >= -845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 - 2*w - 29. Let p be h(-4). Let y(c) = 6*c**2 - 16*c + 5. Let u(n) = -n**2 + 3*n - 1. Let i(s) = p*u(s) - y(s). Calculate i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -2*f**5\/15 + f**4\/3 + 14*f**3\/9 + 4*f**2\/3 - 153. Determine k, given that g(k) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 14 - 29 - -17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -17. Let s be 3 - ((-1)\/(-1) + -1). What is the first derivative of p - 4 - b**s + 2*b**3 + 0 wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8. What is the units digit of 9 - (0 - r)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*y - 100*y - 126 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23801 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or 543\/73?\nAnswer: 543\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 5*p + 7. Let w = -290 + 295. Give n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3157*i - 15294 - 70765 + 1650 = -3336*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.73 - -0.17. Which is the closest to y? (a) -1\/2 (b) 4 (c) 0.3 (d) -2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8314*r + 8362*r - 16677*r - 74. What is b(-17)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, -2\/9, -4\/11, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - 126*r - 361. Let h be x(35). Solve h = 6*o + 93 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029548 to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -1*(3 + sqrt(147)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143400547.\nAnswer: 1143400547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:21 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*r - 133. Is 19 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1844 - -1867. Suppose 36 = -2*t - 4. Let m = i + t. Solve 0 = -2*q - m + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -39.3. Let s = -4 - r. Let z be (-2)\/4*(-8)\/(-5). Which is the nearest to 1\/3? (a) s (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 0*a - 2*q + 2 - 2 + 4 - 3 + 3 = 0, -4*q = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 82*m - 18. Let l(y) = 17*y**3 + 491*y + 117. Give -13*i(z) - 2*l(z).\nAnswer: 5*z**3 + 84*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -407709\/244 and -1671 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 226.17636876 and 46676.\nAnswer: 46902.17636876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 12*x - 22. Let s be t(10). Let h(v) = -43*v - 3. Let g be h(s). Which is smaller: 84 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 6*q - 5. Let h be v(-4). Let k be 4 - 2*(0 + 1). Solve 0 = k*p - 0*c - 3*c + 12, -5*p = -h*c + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t. Let y(l) be the first derivative of 3\/2*l**2 + 0*l - 54. What is o(y(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 2*i + 4. Let q be w(-2). Suppose 0 = 4*c - 4*b - q, -3*c + 4*b - 4 = -18. Is (-159)\/c - 5\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 81.66435ns?\nAnswer: 0.00008166435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 374.297 + -375. Let n = t - -0.623. Let h be (2\/5 - 0)\/(-2). Which is the nearest to h? (a) n (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -24.\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = -3*i + 4, h + i = 7. Let w(l) = l - 6 + 4 - 1. Determine w(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(1\/(-2)) - -4. Suppose -2*u - 8 = 5*p, -2*u + 3*u + 4*p - d = 0. Let k be 3\/(-2 - u\/6). Solve -4*g = k + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -109, 204, 653, 1238, 1959, 2816, 3809?\n\"Answer: 68*a**2 + 109*a - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 5 = 8*n. What is the tens digit of -10*(-1930)\/275 + 2\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33904.2863 to the nearest 100.\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/21 + 4*j**6\/15 + 2*j**5\/5 - j**4\/3 - 5*j**3\/3 - 2*j**2 - 14*j. Determine b, given that c(b) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*s + 15, 3*s - 2*s = 0. Suppose 8 = 5*o - 2*d, j*o + 3*d + 5 = 18. Let t = 10 + -4. Solve 0*i = o*i + t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -39*j - 6. Let o be f(5). Let h be (-8)\/(-6)*o\/6. Let r = h + 44. Which is the nearest to r? (a) -2 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2 - h**2 + 2 - 9*h + 13*h. Let y be d(4). What is y rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39853 divided by -8572.\nAnswer: 39853\/8572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 38. Let l = -23 + v. What is the remainder when 54 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307309*r + 6262 = 307247*r for r.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -955 + 3056. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 0*j**4 - 2*j**2 + 2*j + 0*j**2 + 4*j**3 - j**4 in the form z + r*j**2 + t*j**4 + y*j**3 + l*j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - 0.09. Suppose -3*x = -0*x. What is the third smallest value in x, -5, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-3))\/(3644\/911).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -51*z**3 + 4*z**2 - 25*z - 72. Let b be u(-3). Suppose -88*q - b = -96*q. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + (-142)\/350. Let z = -30 + 30. Which is smaller: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 3*s - 158. Is 6 a factor of c(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28994 - 59804 + 18273 = -25*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, x: 9}. Give prob of sequence ppp.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ebd (base 15) to base 10.\nAnswer: -3328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3139*r - 6228*r + 1560 = -3115*r for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508804 is divided by 508749?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, h: 1, s: 1, e: 1}. Give prob of picking 1 c and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -3*b - 1332. Let s = -297 + 3262\/11. What is the common denominator of 2 + -2*b\/(-80) and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -291 + 291. Let b be (z - 0) + (-12)\/18. Put 15, 2\/7, b in decreasing order.\nAnswer: 15, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-26)\/3)\/((-6)\/9). Let h be 9\/3 + w\/(-8). Let r = h + -47\/40. Are r and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 18*m**2 - 2 + 9*m**2 as x*m**2 + k*m + w and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x + 233. Let m(d) = 8*d - 235. Let t(r) = -6*m(r) - 5*u(r). What is the hundreds digit of t(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.184 + 0.484. Put 3, -1.3, s in decreasing order.\nAnswer: 3, s, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -1\/6*l**4 + 2\/3*l**2 + 0*l + 0 + 0*l**3 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(0*m - m - 3*m)*(-4*m + m + 6*m + (0*m + 0*m + m)*(1 - 1 + 2) + 0 + 0 - m).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2243533*m - 2127. Let x be t(-19). Round x to the nearest one hundred thousand.\nAnswer: 42600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/60*(-120)\/32?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47.49 + -47. Let p = 0.01 + o. Let f = p - 0.50096. What is f rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 16, -2*r - 5*k + 16123 = 16051 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 130 = -32 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**5 - 124*g**4 + 156*g**3 + 892*g**2 - 152*g - 768 = 0.\nAnswer: -32, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -4 (c) -1 (d) -44 (e) 0.085\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15 - 28\/20 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/7)\/((-1)\/133). Calculate the greatest common divisor of 304 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 16 = -9*t. Let r = 5 + t. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 + 2 + -4)) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 27. Calculate the remainder when 8 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.9 - -13.1. Let o = 60.9999976 - d. Round o to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1339 + 587. Let n = 748 + z. What is the biggest value in -2\/27, n, 2\/13, -1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -776 + 773 - (1 - (14 + 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3 - 4707*w**2 - 2461761*w - 429167001 = 0.\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -0.1, 5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103287 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: What is the value of (-3*(-52)\/72)\/(18 + (-654)\/36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2647, -5316, -7991, -10672, -13359, -16052?\n\"Answer: -3*r**2 - 2660*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/795 + -952\/795. Let w be 11576\/(-48) + 1\/(-3). Let d = w - -246. Which is the smallest value? (a) -0.2 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g - 8. Let h be d(-6). Let w be (40\/70)\/((-76)\/(-2261)). Solve -3*s - w = 5*f, 4*f = -h - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 36 = -2*z. Let k(w) = w + 1. Let j be k(0). What is the second smallest value in j, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490.934 - 0.6.\nAnswer: 490.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:40 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15.7015l?\nAnswer: 15701.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73\/650 - 5\/26. Which is greater: k or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2004*c*t*v**2 - c*v**3*w + c*v**2*w - 2*t*v**3*w + 2*t*v**2*w - 2*t*v**2 - 31*v**3 + 3*w wrt c?\nAnswer: -2004*t*v**2 - v**3*w + v**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521724637 to the nearest integer?\nAnswer: 22841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 + 5)*0. Let p be (-9)\/((-18)\/4)*1. Find the third derivative of -2*r**3 + y*r**3 + 2*r**3 + 7*r**p - 4*r**4 wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/16 - 245\/16. Calculate the common denominator of ((-8)\/19 - 3) + -8 + 12 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2)**2*6.\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 15*z**2. Let n(m) = -m - 2. Let t(j) = -4*j - 9. Suppose 3*b + 3*w + 3 = 6*w, 3 = w. Let i(l) = b*t(l) - 9*n(l). Calculate i(q(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7442 and 42794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + 800. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*s + 3 = 0, -5*v + 13 = -2*s + 1. Let r be (-2)\/6*((-4170)\/v - -3). Let t = 1583 - r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 - (-326 - 49\/7). Let g = m + -321. Solve 0 = -6*d + 7*d - g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.74694*-0.2\nAnswer: 0.749388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 64*j**2 - 245*j + 300. Calculate o(60).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 62, 45, 3 in descending order.\nAnswer: 62, 45, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37\/2 of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 5*f**2 - 6*f - 6. Let i be 24\/9*9\/(-6). Let j be d(i). Solve 0 = -j*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**4 + 2*v**4 - 4*v**4 + (0*v**2 + v - 2*v + v**2)*(2*v**2 + 0*v**2 + 4*v**2).\nAnswer: 10*v**4 - 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - d - 9 = -1, 0 = -2*d + 2. Solve 0*o = -b*g + 4*o + 19, 0 = -4*o - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2092 + -2089. Sort p, -1, -2, 29, -4 in decreasing order.\nAnswer: 29, p, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2011*g**2*o**3 + g**2*o**2 + 2757*g**2*o + 19*g*o**2 + 112*o**3 wrt o.\nAnswer: 12066*g**2 + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 12. Let w be z(-12). Suppose -2*u - 2*u + 144 = w. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-3 + sqrt(17))**2 - (sqrt(17)*-3 - sqrt(17))*2.\nAnswer: 8*sqrt(17) + 8993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.968 - -2.868. What is the nearest to b in 0, -6, 0.02, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**2*k*l**3 - 13*d**2 + 3*d*k*l**3 - 8*k + 15*l**3 wrt d?\nAnswer: -4*d*k*l**3 - 26*d + 3*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0 - 5 - 4*l to c + n*l and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/30 - i**2. Let n(k) be the second derivative of -k**3\/3 - k. Give n(r(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 222*p - 170 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249414 by -41569.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x - 6*x + 3*x)*(-x + 7 - 7) + 114*x - 114*x + 209*x**2 + (-4 + 4 - 2*x)*(1 + 2*x - 1) + (-1 + 2*x + 1)*(1 - 1 + x))*(4*x**2 - x**2 - 4*x**2).\nAnswer: -209*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7049795533 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j - 22*j - 19*j - 7137 - 9459.\nAnswer: 2*j - 16596","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22 + 131\/2*f + 3\/2*f**2.\nAnswer: (f + 44)*(3*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/25 - 1)*5. Let q = -30950.7 - -30951. Which is the closest to 6\/11? (a) -0.5 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9133 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjjjxjxjjjjxjxj. What is prob of picking 2 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 17*i + 140. Let j(d) = -d**2 - 8*d - 8. Determine j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = 5*l - 3*l, -l - 3 = 2*v. List the prime factors of 5 + v - (5 + -177 - -1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3, -0.3, -0.2.\nAnswer: -3, -0.3, -0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-3)\/3 + -14). Let d(v) = 2*v**2 - 2. Suppose 0 = b - 5. Let u be d(b). Calculate the greatest common divisor of u and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 16*m**2 + 5*m + 154. Let f be s(15). Put -26, 9, f in ascending order.\nAnswer: -26, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*y**5 + 0*y + 5*y**2 + 0*y + 9*y**2 wrt y?\nAnswer: -1620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/183 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328 - 210 + 92 + 110 - 2*i to the form u + s*i and give u.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 - 3 = 0. Suppose 0 = -2*d + 3*j - 10, j + 4*j = k*d + 25. Let b = -1.5 - -1.2. What is the nearest to -0.1 in 4, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 476745\/(-481) - (-2)\/13. Let c = -986 - a. Solve v - c*j = 25, -2*v - 6 = -5*j - 31 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {l: 2, g: 8, t: 4, s: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -134234240 (base 5) in base 3?\nAnswer: -1022101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*h - h - 5, h + 5*i = 7. Let n(r) = 13*r**2 + 3*r**h + r**2 + 4*r**2. Let w(v) be the third derivative of v**4\/12 - 84*v**2. Determine n(w(f)).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 5)*(-42 + 31). What is the greatest common factor of z and 550?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609553939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuveuuuuueeueu. What is prob of sequence ee?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0.864\nAnswer: 3.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-906)\/9 - ((-84)\/252)\/((-3)\/39)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250712660 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -119, -126, -135, -146, -159, -174, -191?\n\"Answer: -u**2 - 4*u - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 5, -8, -37, -88, -167, -280?\n\"Answer: -w**3 + w**2 + w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -373.4157*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 383347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d - 6. Let k be c(4). Let y(u) = u**2 + 12*u + 9. Let z be y(-12). Let w be (-2)\/(-6) + 402\/z. Calculate the highest common divisor of k and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 6*o + 12. Suppose -22 = -s + b, b = o*s + 24 - 124. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 67*s + 62*s + 111*s)*(s - 2*s**2 - s) in the form d*s + i*s**3 + z*s**2 + n and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/353 + -7587\/20827. Let y = f + 391\/236. Which is the third biggest value? (a) -1\/24 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 + b**2 - 1. Let x be u(1). Suppose -12 = -y - 0*y. Let s = y - x. Solve -5*i = -p + s, 5*p + 23 = 3*i - 7*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + 18*c**2 + 8*c + 21. Let f be n(-15). Suppose -5*s - f = -4236. Let m = s + 15723\/8. Find the common denominator of m and 51\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 1 - (-1*sqrt(156))\/sqrt(12))**2 + -5)*1.\nAnswer: 6*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*j + 64*j = -1740. Let p = 353 - j. Solve 0 = 2*q - 5*h - 7, 3*h + 9 = p*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1759645 or -1?\nAnswer: -4\/1759645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 1. Let z(w) = 79*w**3 - 2*w**2 - 2. Give -2*t(r) + z(r).\nAnswer: 79*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17)*6 + (sqrt(51)\/sqrt(3) + 2)**2 + 1*((0 + sqrt(17))*5)**2 + (6*-1*sqrt(85) - sqrt(85))\/((sqrt(15) + sqrt(75)\/sqrt(5))\/sqrt(3)).\nAnswer: 25*sqrt(17)\/2 + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = -5*c - 25, -i - 2*c - 1 = 0. Solve 4*z - 5*g - 5 = -2, -4*z - i*g + 11 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 4. Let n be o(8). What is the units digit of (-1 + (-12)\/(-6))\/(2\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 11:55 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 432268393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*a + 4 - 8 = 0, 5*t + 3*a = -26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 16*v - 17. Let c be h(1). Is 4\/23 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 1\/4, 3\/4, 1, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + z**4 - 2*z**4 + (2 - 4 + 1)*(2766 - 2763 - z**3 + 2*z**4 - z**4 + 2*z).\nAnswer: -6*z**4 + z**3 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**5 + 4008*d**3 + 22*d + 22 wrt d?\nAnswer: -60*d**3 + 24048*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 45*z + 110. Let l(h) = 2*h + 5. Let t(v) = 130*l(v) - 6*s(v). Let a be t(-2). What is the greatest common divisor of a and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j*(j\/(j\/j**(-3)))\/j*j*j))*j**5)\/(j**(-2\/3))**10 assuming j is positive.\nAnswer: j**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) + 38\/9. Suppose -5*a + 50 = 2*x, 0 = 4*a - 5*x - c - 3. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + 20*p**4 + 2*p - 6*p + (0 + 1 + 1)*(-3*p**4 - p**4 - 3*p**4).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 2*sqrt(832) + sqrt(117) + 1)*-1*-5 + -2*sqrt(91)\/sqrt(28) + -5*sqrt(1573)*1)**2.\nAnswer: 790*sqrt(13) + 81158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 2*k**2 + 1. Let u(t) = t**3 + 6*t**2 + 4*t - 3. Let l be u(-5). Let v be h(l). Let m = -936.5 + 936. Sort v, -4\/7, m.\nAnswer: -4\/7, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -126464160 and -13.\nAnswer: -126464173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 23*u**2 + 39*u - 35. Calculate the remainder when 279 is divided by c(-21).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3130 and 5321?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l + 11. Let u be g(-3). Let n(m) = -2*m**2 - 11*m - 2. Let i be n(u). Let b = i - -78. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 4*p + p + (4 - 2 + 6)*(3*p + p + 0*p))*(18*p + 22*p + 13*p).\nAnswer: 1643*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*f = 14, -2*r = f + 3 - 5. Let p be (r + -129)\/((-28)\/(-77)). Let y = p + 363. What is the common denominator of -2 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 4*i**3\/3 - i**2 - 2*i - 4. Let d be s(2). Let l = 4 - d. Let a(j) = -j**2 - 6*j - 1. Give a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:03 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.129 in 3\/4, 4, -5\/3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 8, 0.5, 1\/6, -419?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2244 - -2318. What is the highest common divisor of 11396 and b?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1194, 1130, 1038, 918, 770, 594?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141\/4 - 35. Let n = -12.1 - -0.1. Let l = 12.5 + n. Which is the closest to 0.1? (a) 0.3 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 + 2*k - 1. Let p = 13 + -12. Calculate f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - k - 23 = 0, 4*k + 17 = -u + 2*u. Let d = -5 + u. Is (-51)\/(-1) + (2 - d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -217*a**3 - a - 2. Let f be y(-1). Suppose -543 = -3*i + f. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263759939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*c*f**2 + 309*c*y**2 - 214*f**3*y**2 - 62*f**3*y - f**2*y - 4*f wrt y?\nAnswer: 618*c - 428*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -329627 - 44?\nAnswer: -32966b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, k: 5, v: 8}. What is prob of sequence ka?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -2022110?\nAnswer: 2100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114286 is divided by 55950.\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 11*q + 16*q = -37, -4*z + 5*q = -49 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 10 = 5*u, -c + 1 - 8 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*b - 5 = 0, 372*i + 3*b = 367*i + 35 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 1 (b) -0.3 (c) 5 (d) -238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 + 2*h**2 - 2*h + 1. Let m be r(1). Solve m*a + 11 = 5*a - 2*q, 4*q = -20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - 1 - (-9 + -141). Let v = j + -136. What is the greatest common divisor of v and 352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/6 - 6\/9. Let q = -9 - v. Let b(o) = o**3 - 4*o**2 - o - 1. Determine b(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 3*c**2 - 2*c - 3. Suppose 10*g = -74*g + 9*g. Calculate n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 8. Suppose -5*h + 3 = f*q, 4*q - q + 9 = 0. Suppose h*l + 58 = 5*l. Calculate the remainder when l is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 + -32. Let x = n - 41.35. What is x rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*d**2 - 2076 + 2076)*(-2 - 5 - 1)*(d - d - 7*d).\nAnswer: 1680*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -211. Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/165)\/(7772\/(-319)).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 10:51 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -105, 6\/1469, -0.4?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 695*o + o**3 - 696*o - o**2 + o**4 + 2*o**2 in the form c*o**2 + i*o + l*o**4 + m + y*o**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847) + sqrt(847) + (sqrt(847) + sqrt(847) + (-4 + sqrt(847) - sqrt(847)))*4)**2*1.\nAnswer: -3872*sqrt(7) + 102743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -16. Suppose -v - 3*b + 22 = 3, 5*b = v + 5. Solve l*k = 2*k + v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*(-x + 0*x + 2*x) + 2 - 2*x - 2 + 7*x - 6*x + 6*x + 2*x - 4*x - 4*x + 3*x - 2*x - 3*x in the form g*x + v and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 - 20*w + 20*w - 5*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79560)\/100)\/(-221) - (81\/60 - -3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-2)\/4)\/(115*828\/15870)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {k: 3, l: 8, i: 7}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39894390 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16412 and 271491407?\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*v - 5*v. Solve 6*u - v*u + 5 = -5*l, 4*u = 3*l - 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 + 8*b - 8. Let s(n) = -n**3 - 12*n**2 - 10*n + 17. Let f be s(-11). Let p be h(f). Solve 0 = -p*k - 16, g = 5*g + 3*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -592*h*t - 62*t wrt h.\nAnswer: -592*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/5 + 8252*h\/5 - 16512\/5 = 0.\nAnswer: -4128, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 792367972*j**5 - j**2 - 4*j - 78640.\nAnswer: 47542078320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 1. Let i(c) = -c + 5. Let k be (-2 + 0)*4\/(-8). Let b(l) = k*i(l) - 5*h(l). Let d(q) = -2*q. Give d(b(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 59 = -5*a - 11 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772.846ns in hours?\nAnswer: 0.000000000770235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -61*o**4\/24 - o**2 - 60*o. Let f(w) = -9*w**2. Determine x(f(r)).\nAnswer: 549*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62292, 56960, 51628?\n\"Answer: -5332*i + 67624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 4*v**2.\nAnswer: -v**2*(3*v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/40 - 2\/2. Which is the nearest to -1? (a) q (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7067\/1515 + 1\/505. What is the third biggest value in 3, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 10*i**2 - 6*i - 3. Let f be x(6). What is the highest common factor of f and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to -2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.466 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -716 (b) -3 (c) -248 (d) -1 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 57. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.9 + -1.9. What is the third smallest value in -5, 0.06, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*t - 247*t = 223*t - 11542954. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {v: 3, y: 6, u: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80067 (base 11) to base 9.\nAnswer: 187683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + -2. Let f(s) = 5*s - 17. Let b be f(6). Let p = b + a. Put -2, p, -1 in decreasing order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 72*s + 15. Let g(l) = 1235*l + 255. Determine -2*g(z) + 35*u(z).\nAnswer: 50*z + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -119. Let o = 4879 + -5004.34. Let u = m - o. What is u rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5459545, 5459558, 5459571, 5459584, 5459597?\n\"Answer: 13*h + 5459532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/(o*o\/o**2))\/(o\/((o\/o**(-5))\/o)*o*o**8) assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -95239*y - 19. Let f be p(-21). What is f rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -y + 5*c - 7, 2*c - 6 = 0. Suppose 778 + 782 = -y*r. Let h = -127 - r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 7) in base 14?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12456225 a multiple of 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 1. Let n(g) = -287*g**2 - 1 - 816*g + 408*g + 403*g. Let o(p) = -n(p) + 3*w(p). Is o(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-93)\/12 - 4)*1. Let o = -12 - r. Put o, -0.5, 0.02, -1\/5 in ascending order.\nAnswer: -0.5, o, -1\/5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25 - 30) + (42 - (-4)\/2). Let h(r) = -r**3 - 4*r**2 - 3*r + 2. Let z be h(-3). List the prime factors of 0 + z*l + -3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4420 (base 12) to base 5\nAnswer: 220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188670530.\nAnswer: 2, 5, 18867053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 7. Let p be (-4)\/10*((-136)\/v - 2). Let w(z) = -7 + 3*z + 2*z - z**3 - z - 5*z**2. What is w(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265722971.\nAnswer: 17, 157, 99559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3 - 476*i**2 + 12844*i + 42924 = 0.\nAnswer: -3, 49, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23143 + 56601 = -1235*j - 12881 for j.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13770 and 40500?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4288 + -6808. Let c = 25179\/10 + m. What is the common denominator of c and -37\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 1. Let f be g(3). Suppose -5*j = f*x - 15, -5*j + 3*x + 0*x + 15 = 0. Factor -6*o**4 + 2*o + 6*o**2 + 5*o - 4*o**j - 3*o.\nAnswer: -2*o*(o - 1)*(o + 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 12*m**2 - m + 12. Let s be f(12). Suppose 0 = 2*u + 5*n - 200, s*u - 2*n = 2*u - 212. What is the remainder when u is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - 3.63382139136?\nAnswer: -2.83382139136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 4518*u**2 - 1701027*u.\nAnswer: -3*u*(u + 753)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/9 - 8)*(84\/(-272))\/7?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 7 + 36023\/(-34). Let d = -1036 - u. Determine x so that d*x + 24*x**2 + 21*x**3 + 3 + 3\/2*x**5 + 9*x**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29335 is divided by 9665.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63381 and -9.\nAnswer: -570429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/10*(-132)\/9. Let q(u) = -u**3 + 20*u**2 + 43*u + 25. Let n be q(x). Solve n*w + w + 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139954995.\nAnswer: 3, 5, 97, 32063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359*j + 593*j = -19916 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.59 + -0.69. Let k(i) = -i**2 - i - 1. Let c be 0 + -1 + 0 - 0. Let x be k(c). Is n <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 70 = -4. Let t = m + -19. Does 12 divide 2\/(-1) + 54 - t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456670.\nAnswer: 2, 5, 29, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -528, -520, -512, -504?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - c**2 + 2*c + 2. Let l(k) = k**3 + 4*k**2 + 2*k - 6. Calculate l(a) + 2*r(a).\nAnswer: -a**3 + 2*a**2 + 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*t + 25626 = 6935 + 4651 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-11))\/(x\/x**(-17\/2)*x*x*x*x)*x**(-23)\/x*x*x**24\/x assuming x is positive.\nAnswer: x**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(180) + sqrt(180) + sqrt(180))**2 + -5 + -1.\nAnswer: -9780 + 648*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 33579 and 33561 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bha when three letters picked without replacement from {o: 11, b: 1, h: 1, a: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*l - 4*d, 0 = -3*l + 5*d + 18 + 19. Suppose 3*m = 170 - 26. Calculate the least common multiple of l and 2 + 5\/(15\/m).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337311402 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*q + 4970 = 3*f + 125*q, -5*f + 8274 = -2*q. Calculate the highest common factor of f and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0843281743 to three decimal places.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -8. Suppose -24 = -k*x + 9*x. Suppose -11 + 3 = -4*d. Solve -d*i - x = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 9 + 3. Suppose 1550*q = 1539*q. Which is the third smallest value? (a) -1\/4 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, h: 2, f: 2, m: 4}. Give prob of sequence ffh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 238*h - 7*h**3 - 70*h**3 - 240*h + (-h**3 + 2*h**3 + h**3)*(-2 + 4 + 0).\nAnswer: -73*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1788 in -2\/11, -1\/6, 4, 0.18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 12 + 87 + 19)*(y**2 - 2*y**2 - 3*y**2) to the form d + v*y**2 + h*y and give v.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m + 5*i - 4, 0 = -3*m + 3*i - 12. What are the prime factors of (-15)\/(-9) + (-1)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -147, -6778.\nAnswer: -6778, -147, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 309 + -143. Let z = o + -118. Suppose 0 = 3*c + 3*j - 0*j - z, 0 = j - 1. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 + 5. Let j(b) = -b**2 - 1. Let r(h) = 5*j(h) + q(h). Let a(z) = z**2 + 4*z**2 - 3*z**2. Give r(a(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56, 64, 76, 92, 112, 136, 164?\n\"Answer: 2*u**2 + 2*u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) -3 (c) -92 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - c = 3, 5*d - 17 = 142*c - 143*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 5*l**2 - 6*l + 5. Is m(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1932549*-9.\nAnswer: 17392941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*q = 9*i, -5*q = -i + 28. Suppose i*k - 3176 = 3*b + 18043, 2*k + 2*b - 14130 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33930.\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2 + ((-1*sqrt(171))\/sqrt(9))**2 + sqrt(19) + ((sqrt(209) + sqrt(209)*1 + sqrt(209))\/sqrt(11) - -3*sqrt(304)) + -5)*-5.\nAnswer: -140*sqrt(19) - 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - o = 6*o + 2*v + 265, -688 = 32*o - 4*v for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2207660 divided by -118\nAnswer: 1103830\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9174 = -6*u + 12*u. Suppose u = 7*g - 641. Is g\/(-4)*-1 - (-5)\/(-10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = -10. Let o(z) = -a - 3 + 3*z + 7. Let q(r) = -r**2. Give q(o(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 1:42 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16125\/35737 + -369499475\/16494. Let p = 22402 + n. What is the common denominator of p and (-661)\/144 - (-4)\/(-18)?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-11))\/(((-921)\/(-614))\/(132\/16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/1)\/(1 - 48\/52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Suppose -20 = 5*m, l - d*l + 14 = -m. Suppose -2*g - 32 = -b + 11, l*g = -2*b + 77. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 p when three letters picked without replacement from {e: 2, s: 3, d: 5, p: 3, z: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 24\/21)\/(8\/56).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 631*d**3 + 810*d wrt d?\nAnswer: 3786*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 21 + 21)*(4*p - p - p) as k*p**2 + c*p + s and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067 + -69?\nAnswer: -69.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*m - 8*b + 7882, -8*b = m - 3920. 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 value of (0 - -14)\/1 + 70047\/(-4887)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 80.\nAnswer: -1840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25522, -51042, -76562, -102082, -127602?\nAnswer: -153122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 + 2546*b**2 - 9979200*b - 14550250968 = 0. What is b?\nAnswer: -1782, 2291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 76635?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*p**3*x - 15353*h*p**3 + 3739*h*x wrt x.\nAnswer: -h*p**3 + 3739*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**3\/2 - 3*z**2\/2 + 6*z. Let q(t) = t - 1. What is -g(c) + 4*q(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -20*a**2 - 32*a. Let r(s) be the second derivative of -s**4\/4 - 5*s**3\/6 + 11*s. Determine -5*n(q) + 32*r(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-2)\/sqrt(6))\/(-1*sqrt(63)) + (-3 + (sqrt(98) - (-1 + sqrt(98))**2) - (1 + sqrt(98) + -3)) + 3.\nAnswer: -97 + 44*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s + 25 = 0. Let r(j) be the first derivative of -j**5\/120 - j**4\/24 - j**3 + 3. Let c(u) be the third derivative of r(u). Determine c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:37 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 10. Let y be q(-7). Suppose v - 5*v = -5*g - 54, 0 = -v + 3*g + y. Let r = 37 - 34. Solve r*t = 4 + v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6124 * 2\nAnswer: -12248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5388722.\nAnswer: 2, 29, 53, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625250 is divided by 188?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -30448 and -0.02 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.52527 times -2.7?\nAnswer: -741.218229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*b**3 - 2*b**2 + 176*b.\nAnswer: 102*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8\/41, 2\/287453, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223447 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.33503828 to one dp.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 8. Let h(g) = -g + 5. Suppose -4*q = 3*l - 103, -1045*q = -1046*q + 2*l + 23. What is the remainder when q is divided by h(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2735126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 1. Let a be o(3). Suppose 0*q = -q + a. Let t = q + -5. Solve t = -4*v + 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q + 1. Let u(k) = -2 + k**2 - 4*k**3 - 2*k - k + 0*k**2 + 6*k**3. Give u(b) + 3*z(b).\nAnswer: -b**3 + b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) -10 (b) 0 (c) 0.02 (d) -142 (e) -5 (f) 19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(224) - (sqrt(224) - 2*sqrt(224)) - sqrt(224)))\/((3*((sqrt(14) - sqrt(686)) + sqrt(14)))\/sqrt(2)))**2.\nAnswer: 512\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 2, t: 4, o: 1}. What is prob of picking 1 h, 1 p, 1 o, and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5234521.\nAnswer: 17, 367, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 6, -9, 6681, -182?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -15. Put 4, w, -3 in ascending order.\nAnswer: -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 take away 4233.4?\nAnswer: -4745.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-64)\/(-128))\/(-2 + (-12)\/(-8)). Which is smaller: 12\/1477 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t - 1. Let b(a) = -146*a**2 + a + 71. Let r be (7\/(-14))\/((2\/(-4))\/(-1)). Let y(n) = r*b(n) - q(n). What is the derivative of y(v) wrt v?\nAnswer: 290*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by 3.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14764128*n**4 - 88729997.\nAnswer: 59056512*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 58, 0.02, 4466, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 527718, 527744, 527790, 527862, 527966, 528108, 528294?\nAnswer: 528530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 4*f - 4*f + f - f + f + (1 - 3 + 4)*(-f - f + 0*f) - f - f - 4*f - f + 3*f - 3*f - 2*f + 2*f - f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*h - 4, -2*l - 2*l - 18 = 2*h. Let m(d) = -1 - 8*d - 2 + 1 - 1. Is m(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s, -12 + 22 = 5*n - 5*s. Let j be ((-2)\/7)\/((-1)\/5). Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178257*u**2 + 89331*u**2 + 88926*u**2 - 5*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261694509.\nAnswer: 23, 3371, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2753 and 2?\nAnswer: 2751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/60 + 5*m**4\/24 + m**3\/2 - 11*m**2. Calculate s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 8) to base 5\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = -5. Let q(s) = -s**2 - 8*s**3 - 2*s**2 + 7*s**t + 4. What is the lowest common multiple of 20 and q(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312839 - 488028869\/1560. Find the common denominator of h and -1\/120.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**3\/3 + 16*q**2 + 28*q + 40\/3 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*(-58)\/174*-44?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3465041 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152.203 + -0.203. Let q = -152.02 + r. Round q to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26920600 < 26920599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -96007534 - 0.004?\nAnswer: -96007534.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 13) in base 5?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6320?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 303614 (c) 3 (d) 0.4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16 - 49*r - 6 + 52*r. Let n be w(14). Is n <= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 take away 7.839?\nAnswer: -324.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314112874.\nAnswer: 2, 53, 1223, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 11. Let w = 2 - 3. Let y = r - w. What is the second biggest value in 5, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 4852 (b) 1 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*u - 2 - 3, 3*u - 3 = 4*w. Suppose -2*x + r + u = 0, -4*r + r = x - 18. Solve 18 = -4*z + j - x, -2*j + 10 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1159 = 13*z - 336. Calculate the greatest common factor of 19435 and z.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 18*v - 144 = 0. Let y be 6\/(-9)*v\/(-3). Let c(j) = 3*j - 4. What is c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496 divided by 2\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -67.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 1. Let g(s) = 2*s**2 + 2. Let r(p) = -3*g(p) + 4*h(p). What is f in r(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 255 = 13*a + 42 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-36)\/27 - (1 + 3))*35940\/(-8).\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 d when three letters picked without replacement from wwnxwnwxddnxwxwxnx.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 60 = -25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/198*11)\/((-1)\/69)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38894 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128527?\nAnswer: 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65651, -65651, -65649, -65645, -65639, -65631, -65621?\nAnswer: -65609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 37 - 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 432168136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 112 = -4*z + 577. Put 1, z, 0 in increasing order.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.073.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 2*o**5\/5 + 413*o**4\/6 + 452*o**3\/3 - 272*o**2\/3 - 4620. Determine b, given that r(b) = 0.\nAnswer: -136, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + 0.053. Let t = z + 0.006954. What is t rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfop when four letters picked without replacement from hhdogfp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 1265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17907, 17900, 17893?\nAnswer: 17886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + (6 - 1\/((-1)\/838)). What is the biggest value in -1\/2, -1\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18055, 36112, 54169, 72226, 90283?\n\"Answer: 18057*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 + 1 + 0*m**3 - 4 + 5 with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let r(d) = -4 + 12 - 50*d**2 - 8. What is l(r(a))?\nAnswer: -2500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.4 from 96.\nAnswer: 98.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50283654 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.5, -8, -2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = w + 192. Suppose 7*p + w = 26. Solve 4*s + 15 = -3*n, p*n = -2*n - 2*s - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1846\/3 at most -2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = -65. Let u be ((-168)\/(-2))\/(1\/2). Suppose 3*n = -12 + u. Calculate the remainder when n is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/8)\/(3\/(-2))*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 5*l - 4*l - 4*l + 9*l**3 + 2*l - 11*l**3 - 9 to the form v*l**3 + f*l + x*l**2 + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67453b1 - 12?\nAnswer: 674539b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 5*t - 22. Let o(f) = -f**2 + 6*f - 22. Let u(b) = -3*h(b) + 4*o(b). Let m be u(5). Is (1035\/(-30))\/(m\/4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**2 + 300360*q - 600704 = 0.\nAnswer: 2, 75088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-143)\/1287)\/((-14)\/(-10))*(-72)\/60?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4671715, 4671713, 4671709, 4671703?\nAnswer: 4671695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 441*o - 1382. Give t(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*h - 5 - 7 = 0, h = 3. Let l be (-117)\/(-5) + (-8)\/20. Suppose -7*d - l = -o - 2*d, -5*o - 3*d = 25. Sort w, -5, o in ascending order.\nAnswer: -5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 9\/5, -31\/112, -4, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.1 - -1.1. Let o = f - -18.999922. What is o rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11100100101001010101110?\nAnswer: -11100100101001010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7187899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**3 - 134*v**2?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/15)\/(-7*8\/(-1295))?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o**2 - o. Let s(l) = -4*l**3 + 6*l**2 + l. Let n(h) = -3*a(h) - s(h). Let i = 24 + -21. What is the units digit of n(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40043 + 4?\nAnswer: 40102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 73, 105, 135, 163, 189, 213?\n\"Answer: -c**2 + 37*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 5. Let m = 4.6 + -0.6. Let t = m + j. Put 2, 4, t in descending order.\nAnswer: 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/3 or -10?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 8*x + 2 - 1 - 1.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 y when four letters picked without replacement from {x: 2, m: 2, r: 3, y: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbtl when four letters picked without replacement from lbbtllltvltv.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(171) + 2 + (sqrt(95)*1)\/sqrt(5))**2 + (sqrt(209)\/(sqrt(396)*-3))**2.\nAnswer: 16*sqrt(19) + 98839\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 31990200?\nAnswer: 607813800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 14.8. Let y = -14 - c. What is the smallest value in y, -1, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 22 - 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -760, -236 in ascending order.\nAnswer: -760, -236, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2. Let s(n) be the third derivative of 13*n**6\/360 + 5*n**3\/3 + n**2. Let m(w) be the first derivative of s(w). Determine m(o(x)).\nAnswer: 52*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -a?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 9*k**2 + 2*k - 12. Let u be p(9). Let d be 7 + u\/(-2 - -5). Let s(b) = -b**3 + 10*b**2 - 9*b + 13. Is 11 a factor of s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -32141?\nAnswer: -32144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.05, 0, -5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 268364866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 27. Suppose 0 = -17*f + 15*f + l. Let t = 43 + f. Calculate the remainder when t is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439\/7 + 63. Which is the nearest to 0? (a) s (b) -7\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m - 3. Let f be k(-3). Suppose 3*c = -4*i - 10, -4*c + i = -f*i + 7. Let j(w) = -19*w - 10. What are the prime factors of j(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35966885 to the power of 1\/2, to the nearest integer?\nAnswer: 5997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -2078569.\nAnswer: 311785.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6 and -17\/16674814.\nAnswer: 50024442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmyyeymemmmmym. What is prob of picking 2 y and 1 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3108135 to three decimal places.\nAnswer: -0.311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/28)*q*q*q**(-4\/7) assuming q is positive.\nAnswer: q**(41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 9:04 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 2. Let i(g) = 33*g - 30. Let t(k) = 2*i(k) + 30*v(k). Let f(o) = -35*o**2. What is f(t(z))?\nAnswer: -1260*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyqt when four letters picked without replacement from rrqtqtwy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 1002, 2207, 3872, 5991, 8558, 11567, 15012?\nAnswer: 18887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4151*l + 3. What is m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 18}. Give prob of sequence cpcc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 602020.1 grams?\nAnswer: 602.0201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**4\/12 - 11*d**3\/6 + 3*d**2\/2 - 8*d - 7. Let t be m(-11). Solve -3*y + 0 = t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 4 - -2)\/(-2). Suppose s = -5*c - 0*c + 10. Suppose c*p = 3*p - 2. Put p, 0, -3 in increasing order.\nAnswer: -3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 11*x + 9. Let n be (-246)\/(-8) - (-3 + (-30)\/(-8)). Suppose 3*f + n = -z, -4*z = -0*f + f - 1. Calculate v(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 228\/38705?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {k: 4, a: 14}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 2*y. Let c(j) = -j**2 - j + 1. Let k(f) = -2*c(f) + g(f). Let r(h) = 1. Let n(s) = 2*k(s) + 10*r(s). What is the derivative of n(a) wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5174*r - 7 + 10208*r - 5192*r + 7.\nAnswer: -158*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 2. Let m be c(-3). Let y = -69 + 91. Let o be ((1 + -3)\/((-11)\/y))\/1. Solve 0*d + 3*z - o = 4*d, 20 = -m*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 2*f**2 - f**2)*((1 - 5 + 2)*(3 - 3 + f) - f - 4*f + 4*f + f - 4*f + 4*f + 2*f - f - 2*f) - 6*f - 6*f**3 - 4*f**2 + 7*f - 2*f.\nAnswer: -21*f**3 - 4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304743737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -12.227 (b) -4 (c) -3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 300000*j**2 + 2*j - 12. Let w be i(6). What is w rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -22252*s**3 + 2*s**2 + 8*s + 5. Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i - 7*i + 24708 = -43*i + 258*i for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15*(-1050)\/1260?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 585429, 1170869, 1756309, 2341749, 2927189?\n\"Answer: 585440*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5, j: 7, h: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 + 7*b - 6. Suppose 0*z + 3*z - 18 = 0. Let n(q) be the first derivative of 11*q**3\/3 - 10*q**2 + 17*q + 2. Calculate z*n(u) + 17*s(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5500 and 369875.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264627?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let j be 1*(4 - 1) - m. Suppose -j*r + 27 = 3. What is the remainder when 15 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/122 and 73\/10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2982017870 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 806107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 9. Let l be b(-14). What is the units digit of (-2 + 1)\/(l\/(-175))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 - 10*x**2\/9 + 22*x\/3 - 6.\nAnswer: -2*(x - 3)*(x - 1)*(x + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16916 by -2.\nAnswer: -8458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-70)*1820\/260)\/(4\/10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 0.0545.\nAnswer: -4.9455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {h: 3, x: 2, q: 1, e: 1, r: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/3)\/(11853\/7902)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4403870 - 15*j + 20*j + 4403870.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1000100010000?\nAnswer: 1000100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56750 is divided by 916.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2. Let q(m) = -m - 5. Let n(y) = 2*q(y) - 5*t(y). Let v(i) = -3*i**2. Let j(x) = 3*x**2 - 5*x**2 - 2*x**2. Let o(r) = 4*j(r) - 5*v(r). Give o(n(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*z = -0*z - 10, 3*z = 5*u - 31. Suppose -t = -19 + u. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48 and 317.6.\nAnswer: 15244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let x(v) = 4*v + 2. Let k(j) = 9*j + 5. Suppose 60 = 2*d + 3*d. Suppose d = 5*l + 2. Let u(q) = l*k(q) - 5*x(q). What is u(y(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*z - 57. Suppose -11 = -p - 5*k, 6*p - 2*k = p + z. Solve 0 = 3*u - 4 - p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/((4\/10)\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-87)\/(-7) - 12\/28. Suppose 40 = 2*h + a. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85898363.\nAnswer: 85898363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w + 4. Let f be l(-5). Suppose -4*u - 5*t - 3 = -2*t, 4*u - 1 = t. Let i = u - f. What is the highest common factor of i and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3116\/(-646))\/((-24)\/204)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -416854*r. Let d(x) = 41*x. What is d(m(a))?\nAnswer: -17091014*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/15)*w**(12\/5)*w assuming w is positive.\nAnswer: w**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 425 - 401. Solve -2*v = -5*u - s, v + 4 = u + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 782 = 752*v + 2*i + 138 - 32 + 752, 34 = -i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -14. Let a = 22 - l. Find the second derivative of -5*b + b - a*b - 11*b**4 wrt b.\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-20)\/52)\/((-15)\/6))\/1. Which is the fourth biggest value? (a) 0.01 (b) o (c) -5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.0985 - -0.0015. Round j to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4676*a**3 + 57*a**4 + 4676*a**3 + 22*a wrt a.\nAnswer: 684*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 9:46 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*j = -z + 2340, 0 = -3*j + 9. Calculate the highest common factor of z and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and 4.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -61*b**3\/6 - 61*b**2\/2 + 2*b + 5. Does 18 divide y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 6*k - 4. Is m(3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 105 (b) 12 (c) -2\/5 (d) 1\/2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2006334*u**2. Let w(o) = -110*o**2. Give w(h(f)).\nAnswer: -442791373151160*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4687 and 173879?\nAnswer: -814970873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 646.5 + -646. Let t = -5.048 - -1.048. Sort 0, v, -0.02, t in decreasing order.\nAnswer: v, 0, -0.02, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47734033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 34 = -8*h, 2938*b - 2943*b + 40 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 42 = w, -5*k = w + w + 36. Let j(q) = q**3 + 7*q**2 - 9*q - 8. Let g be j(k). Solve g*o = -2*t - o + 12, 5*t = -2*o + 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -6072*h**4 + 218595*h**3\/2 - 655803*h**2 + 1311714*h - 324 = 0.\nAnswer: 1\/4048, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/3)\/(-3) + -8 + 9. Suppose 119 = d - 2*x, -d - 2*x = -n*d - 115. Calculate the highest common divisor of d and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32642, 130553, 293738, 522197, 815930, 1174937, 1599218?\n\"Answer: 32637*r**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 54. Calculate the remainder when 3 - (-25 + (n - (2 + -5))) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-130)\/(-126))*(-6 - 0). Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 46 - 79. Calculate the remainder when s is divided by 87\/(-58) + 99\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10226, 11500, 12774?\nAnswer: 14048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)\/3*1. Let w = 13 + -13. Suppose -5*j - 411*p + 406*p = 0, 2*j - 12 = p. Sort j, -1\/4, w, l in increasing order.\nAnswer: l, -1\/4, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -2*u**3\/3 + 8043*u. Let k(j) = 5998*j**2. What is o(k(t))?\nAnswer: -23992*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7371380 to the nearest one hundred thousand.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 2*i**2 + 6*i - 1. Let l be n(2). Does 4 divide (-1 + -1)*(l + (-147)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + k - 1483 + 1483 - 4*k**3. Let p be v(-1). Suppose 4*t = p, -r + 0*t + 102 = t. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((3 - 5) + 4 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.5 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 19 + 4. Suppose -f + 24 = u*f. Let r = 11 + f. What is the remainder when 27 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4723*d**2 + 582*d - 38. Let x(w) = 945*w**2 + 115*w - 8. Let k(r) = 4*g(r) - 19*x(r). Find the second derivative of k(n) wrt n.\nAnswer: 1874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/10? (a) -0.6 (b) 1\/2 (c) 0 (d) 5 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013796587 to four dps.\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3460442?\nAnswer: 2, 23, 75227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2533984.1 to the nearest ten thousand.\nAnswer: 2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.1. Let l = 1053\/44 + -266\/11. Let v = 5 + -5.2. Which is the nearest to l? (a) u (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 617*d + 79729. Give u(-129).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*p**4 - 13*p**2 + 5*p**2 + 2*p**4 + 2*p - 4*p**4 - 2*p**5 wrt p.\nAnswer: -120*p**2 + 408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -5*h**4\/24 + h**3 + 12*h**2. Let v be i(-18). Suppose u + 2*u = v. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 3. Let y(r) = -11*r + 8. Let g(m) = 17*p(m) - 6*y(m). Let l be g(4). Let v = 1 - l. Solve n - 3*h + h + v = 0, 2*n = 3*h - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*u - 2107 + 303 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 53*z**2 - 16*z + 45. What is s(-26)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2323.\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**4 - i**3 + 3*i**2 + 3*i. Let g(d) = -951*d**4 - 2*d**3 + 6*d**2 - 4387*d. Let m(b) = -g(b) + 2*t(b). Find the second derivative of m(a) wrt a.\nAnswer: 11460*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150002 = 5*p - a, -4*p - 3*a = a + 119992. What is p rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + p - 2*p)*(107*p**2 - 47*p**2 + 194*p**2) in the form l + m*p**2 + i*p**3 + v*p and give i.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1229*f**3 + 3*f + 7 wrt f.\nAnswer: 7374*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3\/7 + 4288*r**2\/7 - 8588*r\/7 + 4296\/7 = 0. What is r?\nAnswer: -1074, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = -4. Let a(f) = -3*f**3 + 8*f**2 - 4*f + 4. Let v(d) = 4*d**3 - 9*d**2 + 3*d - 4. Let z(t) = h*a(t) - 2*v(t). Determine z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18166 (base 9) to base 5.\nAnswer: -400114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28500 and 158175.\nAnswer: 3163500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + 4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6. Let n be 0\/(-1 + 0 + o). Suppose n = x + 5*u - 4 - 2, -5*x - 5*u + 110 = 0. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -0*j + 160. Let v = j + 22. Solve 0 = -3*y - 4*f - 5, v*f + 30 = 6*y - 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 2. Let p be 0*-2*i\/2. Let o(d) be the first derivative of -d**2\/2 - 7*d + 3. Give o(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5361605 - -60?\nAnswer: -5361515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 1 - 2*f + 0*f)*(0*f + 2*f + 2*f).\nAnswer: 4*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((8\/40*4)\/((-8)\/60))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/253 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026752 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77391990 and 3638085?\nAnswer: 851311890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 593?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -298 in 2, -13\/2, 0, -1\/4?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.73 times 0.5\nAnswer: -0.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-85 - -1) + -2302 + 2460\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 10 = -5*w. Is -2 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 3*h - 26 = 50. Which is the closest to 0? (a) 6 (b) h (c) 0.18 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j - 5*x = -96*j + 10, 5*x = 3*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 35 = a, -5*f + a = -2*a - 48. What is the first derivative of 2 - 2*b + 10 + 2*b - f*b**3 wrt b?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*p + 13, -5*p = -2*y - 0*p + 31. Let j(c) = c**3 + 3*c**2 + 3*c. Let n be j(-3). Let b = y - n. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2916110*-0.12\nAnswer: -349933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = i - 3, 25*d - 15 = 30*d + 5*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from pbwdtpbbtt?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*c + 65*c + 20. Let z be 48\/(-40) + (-6)\/45. What is the closest to -7 in -1\/3, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*h - 13*h + 127*h - 50*h - 46*h**2 - 19*h.\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c - 4*u, -2*c - 3*u + 0*u + 7 = 0. Let n be c\/(-3 + 13)*8. Suppose -n*y + 1\/5 - 16\/5*y**4 + 3*y**2 + 8\/5*y**3 = 0. Calculate y.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16004, 16011, 16022, 16037, 16056, 16079, 16106?\n\"Answer: 2*v**2 + v + 16001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t*t**2)**(-33)\/((t*t\/(t**(-1)*t))**(12\/5)\/(t**(2\/5)*t*t*t**4*t)) assuming t is positive.\nAnswer: t**(343\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 - 5*m**2 - 6*m - 2. Let s(x) = -x**3 + x. Let v(r) = n(r) + 5*s(r). Let h be v(-5). List the prime factors of -2 - -4 - (-4 + h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**3 - c**3 + 289 - 73 - 2019 + 2*c**4 + 608 wrt c.\nAnswer: 8*c**3 - 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -25*g + 150. Let j be t(6). What is the third biggest value in 0.6, 13, j, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(-27)*d))\/(d*d**(-27)) assuming d is positive.\nAnswer: d**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81990 is divided by 6208.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 187136239 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: What is the smallest value in -3592, 1\/3, -1\/29, 2, 0.4?\nAnswer: -3592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1092\/3276)\/(-1*2\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5073 - -8.615826\nAnswer: 8.108526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h + 300 = -d, -5*d + 876 = -3*h. Let t = -96 - h. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294093476 a multiple of 5339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -13*n + 2300. What are the prime factors of n?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -486855 = -486587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1150, -1165, -1180, -1195, -1210?\n\"Answer: -15*h - 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 7:18 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 266959 times 6.3\nAnswer: 1681841.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19347 - -19347.00008979. Round l to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7156?\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 236252293 to the power of 1\/3, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 185*h**3 + 2145*h**2 + 5915*h - 21970.\nAnswer: 5*(h - 2)*(h + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(23 - 0) - (-8 + 5). Let d be 74\/12*h\/48. Suppose -2*s + 30 = 4*z, -5*s = -3*z - 0*z - 36. Is s >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -855 + 843. Let y be (-32)\/(-5) + r\/30. Solve -y*f + 6 = 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154323665?\nAnswer: 5, 30864733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/3 - 0 - (-4 + 2). Let g be 3 - (18\/x + 0\/(-2)). Suppose 2*s - 29 - 23 = g. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**4\/((w\/(w**(-4)\/w))\/(w*w**(4\/9))))\/((w**(-1\/5)*w)\/(w\/(w\/w**(2\/7))))**(6\/13) assuming w is positive.\nAnswer: w**(-36007\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 468, 715, 972, 1239?\nAnswer: 1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 87\/28 (b) 12.9 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let z(v) = 5*v. Let s(x) = -2*b(x) - z(x). Let h be s(-12). Calculate the highest common factor of 90 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssvvssvs?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.07.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 12*s**2 + 13*s + 1. Let y be l(13). Is y + 9 + -2 + -3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/40)\/(((-12)\/(-350))\/(66\/462))\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 694.\nAnswer: -138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:33 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1426810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131387 + -0.0623926.\nAnswer: 131386.9376074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Let g(k) = -5355*k**2 + k. Give g(p(u)).\nAnswer: -5355*u**4 - u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -301 divided by -3400\nAnswer: 301\/3400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*(9 - (-6)\/6). Let f = 2 - 2.4. Which is the closest to -0.2? (a) f (b) q (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/(-105)*(-165)\/2. What is the greatest common factor of 12 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22297 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/(y\/y**(1\/3)))\/y)\/y*y)**(18\/7))**19\/(((y*y**(-5)*y)\/y**6)\/((y\/((y\/(y**4\/y)*y)\/y))\/y*(y**6*y)\/y*y*y)) assuming y is positive.\nAnswer: y**(247\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3710 divided by -10?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270*34.\nAnswer: 9180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.47 + -0.48. Let s = o + -0.09. Put -0.2, -2, s in decreasing order.\nAnswer: s, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5 + 2)*(-4*w**5 + 3*w**5 + 2*w**5) - 2*w**5 + w**5 + 3*w**5.\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 9*n + 4. Let v(r) be the second derivative of -r**5\/20 + 2*r**4\/3 - 2*r**3 - 11*r**2 - 7*r - 1. Let j be v(5). Calculate u(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-9 - -1)) + -12 - (0 + 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 5584.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72028 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -19, 0.04, 17, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7\/2 (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -21. Suppose -4*i = 2*d - 19 - 3, 2*i = -4*d + u. Suppose 176 = i*a - 152. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15784659*l**5 + 6*l**4 + 651*l**2 + 30302 wrt l?\nAnswer: 947079540*l**2 + 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 + 12?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c**2 - 242*c**3 + 3*c**2 + 240*c**3 wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from cccgccccccccccgcccc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f*i**4 + f*i + 155*f + i - 2 wrt i?\nAnswer: -4*f*i**3 + f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9469181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*p - 922*p - 2 + 459*p + 2.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 155*h - 19. Let g(i) = -189*i + 20. Let x(c) = -5*g(c) - 6*u(c). Determine x(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 2*o**2 + 19\/24*o**4 + o**3 + 0 + 0*o + 1\/10*o**5. Let n(h) = 3*h**2 + 9*h + 3. Let t(r) = 3*a(r) - 7*n(r). Factor t(v).\nAnswer: -3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 + (-8 - 4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 1 - 14\/(-14). Let j be (-38)\/(-8) - g\/4. Suppose 0 = 2*b - b - 4. Are b and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 + 0.01. Let w(s) = 22*s + 1229. Let z be w(-56). Put c, -2\/5, z, -2 in decreasing order.\nAnswer: c, -2\/5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:16 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -111, -111, -113, -117, -123, -131, -141?\n\"Answer: -d**2 + 3*d - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -2\/7, -5, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -879493 and -160.\nAnswer: 140718880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 188 = 262. Let v = 77 + z. Suppose 0 = b + v*r - 7*r - 17, -b - 5*r = 13. Solve 0 = b*n - 0*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {c: 1, n: 6, o: 12}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - n + 228, 3*x + 4*n + 88 = -83. Let j = -46 - x. Solve 14 = -5*p - j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)\/(x**(-2\/3)*x))\/((x*x\/x**(-1\/7))\/x**(-2)) assuming x is positive.\nAnswer: x**(-439\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 62*j. Let v(z) = 3*z + 700. Give v(k(l)).\nAnswer: 186*l + 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313314204 (base 6) to base 8.\nAnswer: 24727434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = g - 48, 4*r - 2*r = 2*g + 40. What is the highest common divisor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1638 and 135018?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 18 = -g, 3 = -2*b - b + 4*g. Let v be (-109)\/5 - 2\/10. Let m = v - -38. Solve -4*k + 5*w + m = 0, b*k - 4*w - 16 = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -787, 2\/5, -2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1)\/((-10)\/(-16)*(11 + 296\/(-24)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*n = -0*n + 48, -4*k + 4*n = -128. What is the remainder when 418\/6 - (-11 + (-319)\/(-33)) is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:40 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**6 - 4*r**6 + 50*r**2 - 45*r**2 wrt r?\nAnswer: -720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 32 - 165\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*r - 80 = 0, 5*r + 0*r + 26 = z. Suppose -134 - z = -30*d. Solve w = 4*w + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4036390 by 2018195.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 + m - 182. Let j(z) = 17*z**2 - 3*z + 549. What is -4*j(c) - 11*p(c)?\nAnswer: -2*c**2 + c - 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3 + 25*w**2 - 99*w**2 - 4*w + 76*w**2 + 5*w**3. What is n(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -107, -1303, -4511, -10727, -20947, -36167, -57383?\n\"Answer: -166*x**3 - 10*x**2 - 4*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31464 and 3396?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 3. Let j be o(5). Let u = j + -4. Suppose -x + u*y = -2*x + 1, 2*x - 4 = -4*y. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3507, 0.2, -0.2, -898.\nAnswer: -3507, -898, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/33)\/(6\/1071). Solve l = 6*j + 89 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446\/(-12) - (-2)\/36*(-2 - -5).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.04 + 2.04. Which is the nearest to t? (a) -1 (b) 0.05 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 2. Suppose 920*k + 3 = 921*k. Suppose 2 = y + 12*u - 9*u, -3*u - k = 0. Let m(f) = -2*f - 2. Determine y*m(s) + 4*n(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 21*p + 291. Determine w(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -b + 4*v, 0 = -b - 3*b - 5*v - 9. Let c be b\/(-3)*121 - 1. Suppose 3*p + 52 = s, 4*s - p - c = -0*p. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.05 (c) 20 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-15)*(-135)\/(-81). Let r(x) = -9*x - 1. Let m(z) = -3*z + 2. Let i(a) = -3*a + 3. Let d(u) = -2*i(u) + 3*m(u). Calculate f*r(t) + 7*d(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 5*m**3 - 84*m + 2 + 38*m + 46*m to x*m**3 + v*m + d + a*m**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4147 - 4260 = 33*l, -l - l - 90 = -6*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -7077, 3, -5 in increasing order.\nAnswer: -7077, -6, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tubt when four letters picked without replacement from {t: 5, o: 5, u: 1, b: 6}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, u: 11}. What is prob of sequence gu?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*c = 1 - 3, -2*c = -2*r + 8. Suppose r*b - b = 0. Which is smaller: b or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1022832 by -48.\nAnswer: -21309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 4*f - 2. Let p be t(5). Which is greater: 11\/3 or p?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x**2 + 2*x**2 + x**2)*(3 - 3 - x)*(-933 + 222 - 347) to t*x**2 + k*x + l + u*x**3 and give u.\nAnswer: -2116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let o(f) = 23*f + 17*f - 5*f - 10*f. What is o(y(t))?\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297886372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286 (base 12) to base 7.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**6\/210 - w**5\/70 - w**4\/28 + 2*w**3\/21 + 2*w**2\/7 + 32*w - 2. Factor m(z).\nAnswer: (z - 2)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -20.79. Let m = t - 0.09. Put 5, -4, m in descending order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 15 - 1 = 0. Is 2 a factor of q\/((-2)\/(-4) + 4\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7056)\/294*14\/(-21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7880 and 9259?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 4*y - 5*y, 2*y + 22 = 5*i. Suppose 2*l + i = 6. Let j(s) = 11*s + 1. What is j(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:04 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 9712344?\nAnswer: 135972816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*d = -516*d + 27965 - 2687 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -40, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**4 - 5*s**2 + 101*s - 4369 wrt s?\nAnswer: 8*s**3 - 10*s + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 10:05 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -116 * 1\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i = -3698 - 382. Let m = i + -38. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**3 + u - 1. Let k(l) = -13*l**3 + l**2 + 3*l - 2. Give 5*c(f) - 2*k(f).\nAnswer: -4*f**3 - 2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**3 + 6*u**2 - 12*u + 15. Let j(q) = -13*q**3 - 12*q**2 + 23*q - 29. Let d(s) = -11*a(s) - 6*j(s). List the prime factors of d(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11662.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000544765 rounded to 7 decimal places?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krk when three letters picked without replacement from krrrrkrk.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-13)*p)\/(p\/p**(-2\/3)))\/(p\/(p*p**2))**23)**15 assuming p is positive.\nAnswer: p**485","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1230, -2455, -3692, -4947, -6226, -7535, -8880, -10267?\n\"Answer: -m**3 - 1218*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l + 90. What is the remainder when 337 is divided by w(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3969*c**2 + 2376612*c + 355775044 = 0. Calculate c.\nAnswer: -18862\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 98\/(-56)*(-92)\/14. Let r = 6 - 13. Let m(y) = y**2 + 9*y + 2. Let f be m(r). Is g greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (-4 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055719 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/216 and 49\/38340.\nAnswer: 76680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8))**38*(a\/(a*a**5))\/(a\/a**(3\/4)*a) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + 1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1472, -2949, -4412, -5855, -7272, -8657, -10004?\nAnswer: -11307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204413 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7742*l + 46439. Give v(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/2)*w*w)\/w)**(-3\/5))**(-2\/91)\/((w*w*w\/(w\/(w\/w**(2\/5)))*w)\/w**(3\/2))**0 assuming w is positive.\nAnswer: w**(9\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4185034 is divided by 97326.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -149*h**2 - 19*h + 8. Let x be o(6). What are the prime factors of (-10)\/(-85) + x\/(-34)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -25. Let p(k) = -k**2 - k + 8. What is the remainder when p(z) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*f + 8*f. Let i be f + 0 + 4 + -2. Is 39 + 2\/4*i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 60. Suppose 6*g - i*g = -52. Let t(a) = 1750*a - 50. Let s be t(g). What is s rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36264893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*i**2 - 1471*i + 22700 wrt i?\nAnswer: 56*i - 1471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 5. Let m be x(0). Suppose z + 3*z = -8, m*z = -c - 13. Let q(l) = 3*l - 1. What is q(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5866.564 - -1112.4.\nAnswer: 6978.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*f = -10, 0*f + 50 = 5*g - f. Let k(y) = -y - 8 - g*y + 10*y**2 - 4*y + y**3 - 5. What are the prime factors of k(-11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-20)\/(2 - 0). Suppose 0 = 55*b - 51*b - s. Let z(l) = l**3 + 4*l**2 + 4*l + 4. Let d be z(-2). Solve 3*y = -d*o + 21, -b*o = 5*y - o - 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, n: 1}. What is prob of picking 1 c and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3 + 9*x + 2*x + 2 + 7*x. Let a(p) = -35*p - 10. Let v(t) = -2*a(t) - 5*y(t). Is v(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**4\/12 - 8*g**3\/3 + 29*g**2\/2 + 24*g - 34. Let k(n) be the first derivative of i(n). Let u be k(15). Is 14 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60828 - 29580. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8225662786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzzzzmymzymggp. Give prob of picking 1 z, 1 y, and 2 m.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1179 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1176282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 300 = -2*z - 2*z, -3*z + 9 = 0. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2038*d + 67018 = 16068 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.4, -1\/2, -3 in increasing order.\nAnswer: -16, -3, -1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*p**2*w + 698136*p**2 + 28737*p*w + 5 wrt w?\nAnswer: -68*p**2 + 28737*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + ((-4)\/(-2) - 0). Solve x*g + 8 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -124918, -124945, -124968, -124987, -125002?\n\"Answer: 2*t**2 - 33*t - 124887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -1\/5*a**5 + 13 - a**2 - 28*a**3 + 0*a + 65\/6*a**4. Factor d(t).\nAnswer: -4*(t - 21)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290670*2.\nAnswer: -581340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 121, 243, 377, 529, 705, 911, 1153?\n\"Answer: a**3 + 115*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let x(v) = 290796*v. What is x(q(f))?\nAnswer: -290796*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -3)*5\/4. Let j(f) = f**2 + 23*f + 7. Let u(a) = -3*a. Suppose 0 = 7*y - 11*y - 24. Let s(r) = y*u(r) - j(r). Give s(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 7 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*322\/(-69)*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 2\/3 (c) 30 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 565 = -475 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 3 - 3)*(7 + 6 - 14 + 44*g) in the form c + o*g + q*g**2 and give q.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(98))**2 + 3)*6.\nAnswer: -168*sqrt(2) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*65\/(43615\/(-4148))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73 and 92158485?\nAnswer: 92158485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 75 = 5*t. What is the remainder when 63 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b**2 - 23 + 23 + 6*b**2 in the form y*b + r*b**2 + g and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/72*1668\/(-7367)*1\/4?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -10, -92532?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -632, -939, -1250, -1565?\nAnswer: -1884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 3. Let l(o) = o**2 - 3*o - 3. Let p be l(3). Calculate the remainder when 16 is divided by x(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.37 times -0.1479?\nAnswer: -3.012723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - y = -5*j + 365, 0 = -4*j - 5*y + 383. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**4 - 3*n**3 - 9*n**2 - 9*n. Let o(v) = -3*v**4 - 4*v**3 - 9*v**2 - 8*v. Let p = -9 + 15. Let y(w) = p*o(w) - 5*q(w). Find l such that y(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 14*b**2 + 14*b + 21. Let g be i(15). Let r be ((-58)\/g)\/((-284)\/72 + 4). Let h = r - -271. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 5*c + 4. Let t(q) = 8*q**2 + 14*q - 13. Determine 7*r(p) + 2*t(p).\nAnswer: -5*p**2 - 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.7. Let p = -28.15 - -28. Let a = p + 0.25. Put i, a, 2\/3 in decreasing order.\nAnswer: 2\/3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let f be x(0). Let g be ((-12)\/(-4) - f) + -8. Suppose 0 = -2*w - 6 + 4, -3*m - w - 1 = 0. What is the second smallest value in m, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/18985044 and 43\/63.\nAnswer: 398685924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 32*j + 2. Determine k(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7366, -7478, -7594, -7714?\nAnswer: -7838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yncc when four letters picked without replacement from {c: 3, y: 1, n: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6\/19, -2\/13, 2, 1\/5, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 8\/3 in descending order.\nAnswer: 4, 8\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*d - 2*j, 12*d - 16*d + 2*j = -10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 47 - (-3 - -9)) + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let l = w + -1. What is the third derivative of -l*u**2 + 0*u**2 + 2*u**5 + 3*u**5 wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166 - -71. Let v = c + 188. Suppose -v + 5 = -4*z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -66, -4, 5, -0.56, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 7*a**2 + 5*a + 6. Let k be l(6). Let f(c) = 2*c + 0 + 1 - c. Calculate f(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 3)*(-5 + 0 - 1) + (-2 + 0 + 4)*(3 - 5 - 1) + (-2 - 2 + 2)*(0 + 1 + 0))*(-9*b + 4*b - 8*b).\nAnswer: -52*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 123, -6\/5, -1\/4 in descending order.\nAnswer: 123, -0.1, -1\/4, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2380983?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i - 5. Let h(m) = 10*m - 10. Let c(f) = -11*b(f) + 6*h(f). Let t(s) = -s + 1. Let j = -5 + 8. Suppose r = -j - 6. Determine r*t(a) - 2*c(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -185 - -332. Let p = w - 4. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332000 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away 54.615?\nAnswer: -55.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 + 1.32. Let m = -0.034 - 0.766. Let q = m + j. What is q rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19937? (a) -4 (b) -188 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006480415 rounded to six dps?\nAnswer: -0.00648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -7. Let u(x) = -20*x - 2. Let g(l) = -10*l - 1. Let c(z) = j*u(z) + 7*g(z). Calculate c(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/98 - (-4 - 53248\/28)?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 258759 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c**3 + 5*c + 4. Let q(d) be the second derivative of 0*d**4 + 50*d + 5\/2*d**2 - 11\/20*d**5 + 0 + d**3. Give -5*i(l) + 4*q(l).\nAnswer: 6*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 662.2 - 661. Sort 4, 35, g.\nAnswer: g, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.344857 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37897871 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1462*g**4 - 1460*g**4 + 0*g**2 - 2 + 3*g + g**2 - 4*g**3 in the form l + z*g**2 + d*g**4 + t*g**3 + u*g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 3, -16, -35?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 3*y**2 + 3*y - 1. Suppose -3*t + 2*g + 42 = g, 0 = -4*t + 2*g + 56. Calculate the remainder when t is divided by b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 561 and 9163.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 771b2?\nAnswer: -771b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 11*w**2 - 5*w + 1. What is the tens digit of y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by 5\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from vjbvvwjbjvjjbjjvv.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 6 - (-7 + -117). Let d = n - 104. What is the remainder when 156 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69353499 take away -3844202?\nAnswer: -65509297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and -47413840.\nAnswer: -47413840.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2956381.\nAnswer: 19, 155599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**2*r**5 + 181*j**2 + 50*j*r**5 - j*r**2 wrt r?\nAnswer: -360*j**2*r**2 + 3000*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 15. Let h be 0 + (i - (-1 - 43)). Let z be (-4)\/(-2) - (-128)\/2. Calculate the greatest common divisor of h and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, q: 5}. Give prob of picking 2 m.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/24 and -48\/67 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*-4*(sqrt(130)\/sqrt(160) + 0 + sqrt(325)))**2.\nAnswer: 126*sqrt(13) + 5742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5118*k**4 - 1191*k**4 - 7151*k**4)*(-2*k + k + 0*k).\nAnswer: 13460*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 + 2113748*t + 1116982651876 = 0. Calculate t.\nAnswer: -1056874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 2*c**3 - 3*c**2 + (-c**2 + c**2 - c**2)*(-c - 1 + 1))*(2 - 2 - 4*c - 1)*(976 - 604 + 742)*(-3*c + c + 3*c).\nAnswer: 4456*c**5 + 1114*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 87, -4 in increasing order.\nAnswer: -4, -2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109421193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:15 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/70)\/((-9)\/45) - 59*94\/77644?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezi when three letters picked without replacement from {z: 8, b: 2, i: 1, w: 5, e: 2}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2.92223.\nAnswer: -5.84446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4029000 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 10)*(-28)\/(-84). Suppose 48 = 4*p + 2*g - 5*g, p + m*g = 12. Solve 43*k - 40*k = -p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:16 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -239a + 5?\nAnswer: -2395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -297.73613 to zero decimal places.\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and -55.\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 32*w + 28260 = 0. List the prime factors of w.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10522 is divided by 1494.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 3*v)*(19*v**4 - 10*v**4 + 7*v**4)*(5 - 6 - 1).\nAnswer: -64*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 13 + 3 = v, -3*q = -v - 20. Solve q*r = -0*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24635460 and 7620?\nAnswer: 24635460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/23425 - -238889\/538775. What is the common denominator of (15 - 23123\/760) + 13 and a?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*l = -0*l + 126, 5*i - 3*l - 144 = 0. Calculate the lowest common multiple of i and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n. Let p(d) = 342*d**2 + 63. Let m = 28 - 24. Let b(v) = 11*v**2 + 2. Let t(j) = m*p(j) - 126*b(j). Calculate k(t(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.18 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12805362 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m - 12*m + 7*m**2)*((-1 + 0 - 1)*(1 + 0 + 1) + 4 - 6 + 1 + 5 + 3 + 0) - 9*m**2 + 17*m - 17*m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uer when three letters picked without replacement from ure.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1 - 5*o + 3*o + 0*o. What are the prime factors of w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15151 + 2089?\nAnswer: -13062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -11, -39, -83, -149?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let d be (9\/(-3))\/(0 + m). Solve 0 = d*x - x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2 and (-2)\/(-10) + 931\/(-1190)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 312075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*h**2 + 198 - 400 - 3*h + 200 - 3*h - 294*h**2.\nAnswer: -491*h**2 - 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 125*h + 12. Let c be q(2). Factor 161 - c + 40*a + 136 + 5*a**2.\nAnswer: 5*(a + 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 2, 1097, 5\/7, 0.22, 3 in descending order.\nAnswer: 1097, 3, 2, 5\/7, 0.22, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q. Let y(l) = l. Determine -a(k) - 2*y(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3931\/8 + 503. Find the common denominator of r and 143\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76449176 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28086 or 28080?\nAnswer: 28080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**6\/2 - 2*n**2 + 3. Find the second derivative of i(j) wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 4\/7, -2, 1488, -1, 0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 34 = -2*h. What is the greatest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 at least 117501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1808, 0.02, 0 in increasing order.\nAnswer: -1808, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 2*w**2 - 173 + 140 + 33.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -b + 3*l + 272, -2*b - 2*l + 462 = 0. Solve 232*g + 6 = b*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) -14 (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/17 - 218*z**3\/17 - 2416*z**2\/17 - 8632*z\/17 - 9312\/17 = 0. Calculate z.\nAnswer: -97, -6, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 854034491 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 2 - (-934)\/(-7). Let o = j - -132. Let u = 4.9532 + 0.0468. Which is the closest to -1? (a) u (b) o (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 5343900?\nAnswer: 5343900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-2)*(-2 - -2). Suppose -2*w + 4*z = -2, 2*w - 2*z - 3*z - 1 = s. Suppose -r - w*r + 108 = 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 313131283\nAnswer: -313131278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*v - 41*v - 47*v + 9*v**2 - 80*v - 53*v + 263*v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-8)*n*n**(2\/9))\/(n**(-10)*n*n\/((n*n\/n**16)\/n*n)))**(-32) assuming n is positive.\nAnswer: n**(-1216\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) -28 (c) -1 (d) 0.4 (e) 22\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 904.1 * 0.4\nAnswer: 361.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 589, 20, 107 in increasing order.\nAnswer: -1, 20, 107, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/26 - (3 + -7). What is the third biggest value in u, -0.06, 1\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/48 and 6\/(-14) + 66\/112*-6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2438 (c) -0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**5)\/(n\/(n\/n**(-1))))**(-6\/5)\/((n**2\/n)\/(n*n\/(n*n\/n**1)))**(-40) assuming n is positive.\nAnswer: n**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 231, 244, 275, 330, 415, 536, 699?\n\"Answer: n**3 + 3*n**2 - 3*n + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14202, 27932, 41662?\n\"Answer: 13730*p + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -603 * 3\nAnswer: -1809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -404812561919+223.1\nAnswer: -404812561695.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1496 is divided by 206.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -319, 0, 5.\nAnswer: -319, -13, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 9:11 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*u + 20 = 0, -4*u - 383 = -403 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 4*d**5\/5 - 10*d**4 + 116*d**3\/3 - 64*d**2 + 48*d + 56. Factor t(a).\nAnswer: 4*(a - 6)*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -459, -422, -361, -270, -143, 26?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.309998581 + 13.31. What is c rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116945892 minus 0.04?\nAnswer: 116945891.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-6))\/((-596)\/894)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 - 11) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 722050.6l?\nAnswer: 722050600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119750398 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307984930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4404022412 (base 5) in base 15?\nAnswer: -c66b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + w + 8 = 96, -8 = -2*w. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 776 - 20*a - 1261 - 9*a**4 - 2*a**2 + 486 as j*a**4 + v*a**3 + l*a**2 + x*a + p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*(-180)\/480*(-1)\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3*i**3 + g**3*i - 20*g**3 - 2*g**2*i**3 + 4*g - 57*i**3 wrt i.\nAnswer: 18*g**3*i - 12*g**2*i - 342*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 14. Let p be l(-6). Let y(r) = r**3 + 5*r**2 - 3. What is the tens digit of y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 58 + 5*j + 45*j)*(6 - 7 - 2).\nAnswer: -150*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 4:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.1 (c) 3 (d) -2\/13 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 26 = k - 11*b, 0 = -2*k + 2*b - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 135 = -0*l. Suppose -5*u + 5*r = 15, r = -2*u - 3*u - l. Let g = u + 8. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/((v**(1\/6)*v*v*v*v*v)\/v))\/v)*v*v**(-21)*v)**(-3) assuming v is positive.\nAnswer: v**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3193\/60)\/103 - (-2)\/(-20)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 4*x**2 + x - 4. Suppose t = 7*t - 18. Calculate f(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2, -1, 4, -12, -190, -5 in increasing order.\nAnswer: -190, -12, -5, -1, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 2*b + 9. Calculate p(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11332, 0.3, 6 in increasing order.\nAnswer: -11332, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 - 75. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1567897 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33152 by -8288.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(84\/(-8))*-78*4\/16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56508252 is divided by 2260330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 + 0 = 0. Suppose -z = -k + 3*z + 21, f*z = -20. Solve 0 = -3*b + d + 15, -4*d + 22 - 54 = -k*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 12*v**2 - 51*v\/2 - 13.\nAnswer: (v - 26)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 60. Calculate the common denominator of -5\/6 and 2\/6 + (-970)\/p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096443 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = 15*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/1770*13563\/(-30). Let y = o - -79\/20. Is 0 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*p - 59 = -13, 26 = 2*d + 4*p. Which is the closest to 1? (a) -1\/3 (b) -1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 6*d - 72. Is 32 a factor of o(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 382316 - 781?\nAnswer: 381425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 9:41 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 - 15*b - 36. Let x be k(-3). Sort -693, -3, 3, x in descending order.\nAnswer: 3, x, -3, -693","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 4, p: 1, w: 2}. Give prob of picking 1 b and 1 w.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 1105, -3, 0 in increasing order.\nAnswer: -6, -3, 0, 5, 1105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9861936.\nAnswer: 2, 3, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 = z, 2*o + 2*z - 5 = 1. Let y be (14\/5)\/(o\/(-10)). Let w = y - 7. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, d: 3, g: 1}. What is prob of sequence ydgd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((0 - 8) + 2 + 12 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + -5.8. Let v = 5 + w. Let k = 4\/5 - 62\/65. Which is the nearest to 2? (a) 3 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 2. Let m(i) = -9632*i + 1. Determine m(k(z)).\nAnswer: 9632*z**2 + 19265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 100?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 688379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 8*o**2 - 4*o + 10. Determine v(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23)**50*(y\/(y\/(y\/y**15))*y)**(5\/3) assuming y is positive.\nAnswer: y**(3385\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94996 by -17.\nAnswer: 5588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20750*g + 3 + 20748*g - 3.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31234265 divided by 1?\nAnswer: 31234265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/11, 3, -1\/6, 1\/14, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7184, -1, -2\/11, -3\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (600\/175)\/((-66)\/154)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 43267316?\nAnswer: -43267312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140808704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.18 + -13. Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -6.1. Let f = -112.3 - -106. Let g = f + 6. Which is the second smallest value? (a) -1 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 1, q: 1, l: 2, f: 1, n: 1}. What is prob of picking 1 q and 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - o = -143 + 87, 3*o = 5*l - 162. Solve 600*b - l = 610*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.06 (b) 3\/8 (c) -0.5 (d) -2\/15 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 20*u**2 + 36*u + 12. Let n be t(-18). Suppose 0 = 8*c - n*c + 8. Let w be (c\/3)\/(4\/30). Solve -2*y - w = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.66674 grams?\nAnswer: 0.00266674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + -0.49. Let x = 9088\/22845 - -10\/4569. Put x, 3, 1.4, u in decreasing order.\nAnswer: 3, 1.4, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2\/7, -72, 0.4 in increasing order.\nAnswer: -72, 2\/7, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(6*sqrt(168)\/sqrt(3) - sqrt(56)))\/(sqrt(64)\/((-2*sqrt(288) - sqrt(288)) + sqrt(288) + sqrt(288))))**2.\nAnswer: 157500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**4 + 14*i**3 - 168*i**2.\nAnswer: 168*i + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213\/41 + 434\/123. What is the third biggest value in 6, 5, s, 0.27, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -550.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2070748 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -111*g + 421. Determine u(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 6)\/((-68)\/(-34)). Let q(h) be the first derivative of -h**4\/4 + 4*h**3\/3 - h**2 + 1. Let k be q(2). Sort k, 5, p in decreasing order.\nAnswer: 5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486661230 take away -17?\nAnswer: 486661247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 7. Let r(m) = 4*m - 2. Suppose 5*u = u - 4. Let h be r(u). Is h bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, -1\/2, -1\/3, 0.4, 2\/7, -2\/5, -6845?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqh when three letters picked without replacement from qqhqhqhqhqqhqhqh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-5 - -3)*-1 - 0. Let c be (1 + 0)*(7 + t - 3). Solve c = 2*a - 8*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*r + 52 - 33 = 0, -2*r = -2*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 2 i when four letters picked without replacement from {i: 4, u: 8, y: 4}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(2160))\/(sqrt(5) - (-3*sqrt(80) - sqrt(80))).\nAnswer: -60*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -921, 5, 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/11)*o*(o\/o**(-19))\/o)**21 assuming o is positive.\nAnswer: o**(4809\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, j: 1, z: 2, p: 3, c: 8, t: 1}. Give prob of sequence ppcc.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 18. Let p = r + 2.1. Let d = 66 - 66.2. Which is the closest to d? (a) 3\/5 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, g: 7, l: 2, j: 3}. What is prob of picking 1 j and 1 g?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 11. Let g be r(6). Let m(z) = 2*z**2 + 5*z - 25. What is the hundreds digit of m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 120?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497\/(-56) - -65*29\/(-3016).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4711 = 3*j - 1484. Suppose 5*r - 5*f - j + 225 = 0, 2*r - 733 = 3*f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5)*a**(-5))\/(a**(1\/4))**41)**10)**2 assuming a is positive.\nAnswer: a**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a day in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 10*5\/(-10). Suppose -i = -t*i + 175. Let f = i - 28. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 12:09 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*c + t, 4*c + 50*t - 31*t = 22*t + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403 = 16*s + 16*s - 13 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 4, 0.08, -5, 2\/35, 0.1, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.43 and 79295.\nAnswer: 79294.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 93*q + 98*q - 36, 4*q = -3*c + 30. What is g in 11\/5*g + 1\/5*g**c + 0 = 0?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((90\/(-4))\/1)\/((-15)\/(-18510)). Let f be ((-800)\/(-3))\/(138819\/r - -5). Round f to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/110 in -7, 1\/4, 13\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63.5 - 63.51. Let f = -0.42 - -0.12. What is the second biggest value in f, 5\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/(6\/(-4)*224\/168).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 + 148. Solve -j - 14 = 2*f, q*f = f + 4*j + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggtr when four letters picked without replacement from ggrgtrtrrgrtrtrgtrgg.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 2\/23, 1, -4, 1\/11, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15846)\/(-2919))\/(2\/(-7)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6 - (-3)\/(-6). Let f be 2\/(-2) - (-3)\/(-6). Sort -3, v, f in ascending order.\nAnswer: -3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8381 is divided by 1352.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**3*y + 5*i*y - 137*y wrt i?\nAnswer: -9*i**2*y + 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4229*r - 2634*r - 3190*r.\nAnswer: -1595*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 1656928.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -20*n**2 - 66*n - 64. Let m(v) = -v**3 + v. Let c(r) = 2*a(r) + 4*m(r). Factor c(l).\nAnswer: -4*(l + 2)*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 2, -71 in decreasing order.\nAnswer: 5, 2, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1926036 divided by 5.\nAnswer: 1926036\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14*w - 19 = 12*w, 0 = 2*x - 3*w - 4. Solve -x*o - 4*k = -8*k - 10, 2*k = -5*o + 40 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96 - 116) + 2*5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**28*v**(-30) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 6*m**2 + m + 3. Let r be f(3). Let p = r - -20. Calculate the greatest common factor of 104 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-272)\/(-9) + 6\/(-27). Let q = -19 + 94. What is the greatest common divisor of q and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.7, 1\/4 in ascending order.\nAnswer: -2, -0.7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 13, u: 3}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 33*b - 2. Let x(g) = -560*g + 35. Determine 35*d(w) + 2*x(w).\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1894*m**2 - 2123*m**2 + 1726*m**2 + 4793 + 1599*m**2 with respect to m.\nAnswer: 6192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 7174284*l - 7174280.\nAnswer: -4*(l - 1793570)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -12, -20, -40, -78, -140?\n\"Answer: -o**3 + 3*o**2 - 4*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)\/f**(2\/5))**16 assuming f is positive.\nAnswer: f**(-256\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 5*f**2\/2 - 6*f - 1. Let i(g) = -2*g**3 - 27*g**2 + 126*g + 124. Let s be i(-17). Calculate o(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*z**2 + 1197792*z + 552816.\nAnswer: 4*(z + 23034)*(13*z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3798768+211577\nAnswer: 4010345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/3, 811, -2\/3.\nAnswer: -2\/3, 0.2, 2\/3, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 8*o - 4*o + (2 - 3 + 0)*(0*o + 2*o - o) - 3*o + 7*o - o + 2*o + 0*o - 11*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1918, -3939, -5962, -7987, -10014, -12043?\n\"Answer: -l**2 - 2018*l + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 175 and 18.99474.\nAnswer: 193.99474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.05 + -28.05. What is the biggest value in 1, g, -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-2 - -1))\/((-11)\/11). Suppose s = -10*i + 123 - 903. Which is smaller: i or -235\/3?\nAnswer: -235\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -t, -3*j + 4*t + 5 = -1. Suppose 5*z - 351 = 3*u, j*z + 0*u - 2*u - 142 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 31*f**4\/6 + 85*f**3\/6 + 223*f**2. Find the first derivative of l(q) wrt q.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -37. Find q, given that -4*q**4 - 5*q**3 - 5*q**5 + q**4 + 13*q**4 + 0*q**v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 2*j + 2. Let h(w) = -4*w**2 + 3*w + 3. What is -3*h(b) + 7*l(b)?\nAnswer: -2*b**2 + 5*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 58. Suppose l*h = 8*h + 96. Let q(j) = -j**3 + 4*j**2 + 13*j + 60. Let g be q(7). Sort g, h, 5 in descending order.\nAnswer: 5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - 10*x - x**2)*(-5*x**2 - 2*x**2 + 0*x**2 + 78*x**2 - 81*x**2 + 60*x**2 + (4*x - 2*x - x)*(-2*x + 6*x - 3*x)).\nAnswer: -51*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-6)*a)*((a*(a*a\/a**(-7\/2)*a)\/a)\/a)\/a*(a**9\/a)\/(a*a**0*a*a) assuming a is positive.\nAnswer: a**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 21*w, -2*w - 25 = 5*k + 2*w. Let r = 1 - 4. Which is the fourth smallest value? (a) -0.3 (b) r (c) 13 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/28 - -1 - 520\/1330\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by -173.\nAnswer: -93\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 3*w - 8. What is the lowest common multiple of 8 and s(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:01 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97 or 61\/3481?\nAnswer: 61\/3481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 6*m**2 + 11*m + 8. Let s be g(-8). Calculate the highest common divisor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*r)\/(r\/(r**(2\/3)*r*r))*r**(-1\/4)*((r**(-3\/4)*r)\/r)\/r*(r\/(r*r**(-1)))**20\/((r**4*r)\/(r\/r**(-6))) assuming r is positive.\nAnswer: r**(337\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-11 - -3 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 5*f**2 + 2*f**2)*(-4 + 1 + 1) + 4*f**2 - 4*f**2 + f**2 - 2*f**2 + 2*f**2 - 4*f**2 + (-1 + 1 - 2*f)*(-f + 5*f - 2*f) - 4*f + 4*f - 2*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 - 2*j**2 + 6 - 30*j**2 - 5*j + 32*j**2 in the form c*j**3 + w*j + s + f*j**2 + i*j**4 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, t: 5}. What is prob of picking 2 n and 2 t?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-3*5*-2)\/(sqrt(20)\/(sqrt(4) + sqrt(576) + sqrt(576)*2)))**2.\nAnswer: 16017300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**2 + 2*o + 1. Let l(n) = n**2 + n. What is 4*l(h) - p(h)?\nAnswer: -7*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 9 = 25. Suppose 0 = 5*d - k*a, 4*d + a = -4*a. Is ((-513)\/(-2) - d) + (-3)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 50 = -4*c. Suppose 7*y = g + 2*y - c, 5*g - 85 = -5*y. Let v be (-20)\/(-45) - 4\/g. What is the biggest value in v, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1076, -1074, -1072, -1070, -1068?\n\"Answer: 2*q - 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2013 + -31?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145834\/5 - 29162. Suppose -22\/5*m**2 - 1\/5*m**4 - h*m - 9\/5 - 8\/5*m**3 = 0. Calculate m.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -7)*1*-1. Let c be ((-14)\/u)\/1 + 1. Let s = 26 - c. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*k**3 + 23*k**3 - 60*k**3 + (-k**2 - 4*k**2 + 3*k**2)*(-1 + 1 - k) to the form a*k + y + j*k**2 + c*k**3 and give c.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 132 = 5*j. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((1*sqrt(343) + sqrt(343) + 3 - sqrt(343)) + sqrt(343))**2 - sqrt(343)) + -5)*1.\nAnswer: 77*sqrt(7) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/8 + 3299\/(-693). Let o be ((-3)\/((-6)\/(-176)))\/(-63). Let d = o + c. Find the common denominator of d and -59\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1458)*3 + -3 - -1*sqrt(1458)*6))**2 + -4.\nAnswer: -972*sqrt(2) + 118098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1099 and 88.\nAnswer: 9.6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 142258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 29*h**2 - 2*h + 2. Let v(q) = 29*q**2 - q + 2. Give 3*l(f) - 4*v(f).\nAnswer: -29*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4289 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.851813348 + 0.2.\nAnswer: 13.051813348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5540 divide 2881459260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 572 + 572.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*u**5 - i**2 + 4*i*u**6 + 48*u**2 wrt u?\nAnswer: 120*i**2*u**2 + 480*i*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m**3 + 61*m**2 + 422.\nAnswer: -15*m**2 + 122*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:07 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 7 - 12 = 0. Let u(s) = 2*s. Determine u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 29*k + 0*k**2 - 1\/3*k**3 - 29. Differentiate j(i) wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 558 = m, -x + 61 + 81 = -m. Calculate the greatest common factor of x and 168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32032 (base 4) in base 15?\nAnswer: -40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 23. Let a = -7 - x. What is the units digit of (34\/a)\/((-2)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93\/415 + -2\/83. Put s, -0.4, 3\/2, 4 in decreasing order.\nAnswer: 4, 3\/2, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189788718 and 81338022?\nAnswer: 569366154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7561304 a multiple of 1096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Suppose 3*a = -w + 91, 0 = j*w - 5*a + 30 - 360. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/70)\/((-5)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094 = -8*j + 394. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4536*21\nAnswer: 9.5256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -104, 2 in descending order.\nAnswer: 2, -3, -6, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4 + 72*x**2 + 3*x**5 + 432*x - 4*x**3 - 9*x**4 - 245 - 65*x**3 + 245 = 0. Calculate x.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from {z: 4, t: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42924 - 42919. Solve 5*d - 5 + 15 = k*o, 2 = -o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*k = 142*k + 216. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-2)\/4 + 0). Let b(r) = r**3 - 4*r**2 + 2*r + 4. Calculate the smallest common multiple of b(g) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/5 - 9507*k**2 - 95063*k\/5 + 142599\/5 = 0. What is k?\nAnswer: -47533, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 - 2.6. Which is the third smallest value? (a) 0.5 (b) -13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763888301?\nAnswer: 103, 26833867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176.918 - -177. Let u = 22.682 - t. What is u rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**4\/4 + 3*g**3 - 21*g**2\/2 - 188*g. Factor k(a).\nAnswer: 3*(a - 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -57 and -1.488369058.\nAnswer: -58.488369058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 547788038 and 22.\nAnswer: 6025668418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h*h**0*h*h))*(h**(3\/4)*h)\/h assuming h is positive.\nAnswer: h**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1004, -2528, -4062, -5606, -7160, -8724?\n\"Answer: -5*q**2 - 1509*q + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -317?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3118 = 30*h - 2758 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 4a?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 1727. Let w be (-6)\/36 - 3\/(-18). Let x be z(w). Let f = -956 + x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 3\/2, 4, 0.1, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 3:43 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234940 and 384880?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(129*u + 144*u - 43*u)*(-3*u - u + u).\nAnswer: 2070*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:41 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 6 = 31*a. Let o be 15*(4 + (-128)\/20). Let t = o + 39. Solve t*g + 1 = -3*w - w, 0 = -g + a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:53 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 7:01 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3380 - 2193. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*i + 4, -f - i + 4*i = 8. Suppose -16 = -4*w, -2*z - 5*w = 2*z. Let b = f - z. Is 3\/2 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 69, 218, 511, 996, 1721?\nAnswer: 2734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Let w(q) = 8*q - 5. Let x(h) = -6*l(h) - w(h). Let m = -117 + 116. What is the units digit of x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i + 7. Let u(x) = x**3 + 3*x**2 - 16*x - 12. Let d be u(-5). Suppose 19*p - 10*p = d. Let f(a) = -a + 1. Determine p*s(t) - 14*f(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7721?\nAnswer: 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -104587695 rounded to the nearest 1000000?\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-18 - -12) + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, d: 1, a: 1, b: 2, v: 7}. Give prob of picking 1 a and 1 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6044, 6074, 6104, 6134?\n\"Answer: 30*x + 6014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -963 - -964. Is k at most as big as 22\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10}. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 1 + 2 - 4*h + 56*h**3 + 3*h + 17*h**3 to the form v*h**3 + n*h**2 + w + q*h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 4. Suppose -r*l = -0*l - 2*c - 2, 2*l = -3*c + 22. Suppose 2*k = 3*k + l*a + 7, 2*k = 4*a + 14. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13001323 (base 4) to base 3.\nAnswer: -1110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -79.63?\nAnswer: 55.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7986150.\nAnswer: 2, 3, 5, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 m when three letters picked without replacement from lzwbzzzzmpzwlz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -91, -199, -381, -661, -1063, -1611?\n\"Answer: -4*i**3 - i**2 - 27*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 556.598 - 4.098. What is y rounded to the nearest 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21900)\/360 - (-5)\/6)\/((-8)\/164). Calculate the greatest common divisor of f and 600.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lltks. Give prob of picking 2 l and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2222733184.\nAnswer: 2, 7, 2480729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q - q - 2 - 5*q. Let t be u(-3). Suppose -35 = -3*f + t. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/338 and -81\/22.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:01 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 4, f: 1, b: 9, t: 4}. Give prob of picking 2 x.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**2 - v + 0 - 2\/3*v**3. Let x(y) be the first derivative of -2*y**3\/3 + 74. What is x(q(g))?\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/5433301 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13666, -27761, -42280, -57223, -72590, -88381, -104596?\nAnswer: -121235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = -4*a - 5*g, 6 = -3*g. Suppose 0 = -2*r, a*t + 25 = 8*t + 5*r. Let m(o) = o**2 - 4*o - 4. Calculate m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 = -3*j, 5*b = b + 4*j + 104. Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25367135.\nAnswer: 5, 73, 69499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 + 152 + 14*r + 145 + 153 - 597.\nAnswer: 14*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -80. What is the lowest common multiple of 18 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1133200, -1133246, -1133292, -1133338, -1133384?\n\"Answer: -46*r - 1133154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:09 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*a + 43635 - 335825. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1033, -1096, -1153, -1204, -1249, -1288, -1321?\nAnswer: -1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -6816, 0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 813, 812, 811, 810, 809, 808?\n\"Answer: -c + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syg when three letters picked without replacement from gysgygg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23.6, 1.03, 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2497148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q. Let a(y) = -y**2 - 38. Give b(a(c)).\nAnswer: 13*c**2 + 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 437*z**2 + 12. Let a(f) = 2*f. Determine a(c(k)).\nAnswer: 874*k**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 13 = 2*t, -m = -2*m - 4*t + 17. Suppose m + 4 = -c. Let o be 1\/1 + c - -3. Is -3 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u + 5. Suppose 0 = -b + 5, -2*x + u*b = -0*x + 15. Suppose -4*c = -3*o + 34, 2*c = o - x - 10. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -3*j**2 - 14. Let f(q) = 2*q**2 - 1 + 1. Give f(m(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 562 + -43. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -128*m - 994. Calculate o(-10).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 7:03 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*r - 35 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 - 4*c + 32. Suppose -3*h - 3*y = 18, 4*h - 3*y = 3*h - 14. Let s be r(h). Solve 0 = -5*x + f + 3, -2*x + s*f - 3 = f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6 + 5*j + 2 + (-j + 1 - 1)*(-141 - 74 + 51) in the form a*j + p and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**29*i)\/(i**28\/i)*i\/i**5*i*i**(-3)*i)**(-32\/5) assuming i is positive.\nAnswer: i**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o - 2. Let i(s) = -24*s + 9. Let a(d) = 2*i(d) + 9*r(d). Suppose 0 = 2*f - 6. Let j(n) = n. What is f*a(q) - 21*j(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjcjfchhhrfhj. Give prob of picking 1 f and 2 c.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 231. Let k(f) = -3*f. Calculate p(k(q)).\nAnswer: 9*q**2 - 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -3*l + 305, 4*l - 5*o = 407. Let v = l - 98. Solve 21 = 2*g + v*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-14)\/1890*(-6)\/1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**5 - 9*c**5 + 5*c**5)*(-54 + 24 - 20)*(1 - 2 + 4).\nAnswer: 600*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 55*b**2 - 160*b + 193. Let x be t(52). Let s(i) = -2*i**2 - 39*i - 144. Calculate s(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282763.\nAnswer: 13, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 1. Let m be y(-2). Let p(n) = -n - n + m*n. Let a(j) be the first derivative of -2*j**2 + 100. Calculate a(p(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70962, 141941, 212920, 283899, 354878, 425857?\n\"Answer: 70979*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67943336 to the nearest integer?\nAnswer: 8243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21, -19, 20, -10 in ascending order.\nAnswer: -19, -10, 0, 20, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 13*l**2 + 38*l + 94. Calculate z(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) -4 (c) -61 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 29 = -3*y, -26 = -3*y + 3*l + 1. Let m = -32 + y. Is 6\/m*(-7 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -115, -136, -157?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 4 - (2 - 4) - 15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 + 25*j + 51. Let c(i) = 5*i**2 - 28*i - 51. Let a(y) = 5*c(y) + 6*q(y). What is the remainder when a(-4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.433 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + (sqrt(1053) + 0 + sqrt(1053))**2 + 5 - sqrt(1053).\nAnswer: 4217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 + -125. Let p = 1 - 6. Let g = p + 3. Put x, g, 0.3 in decreasing order.\nAnswer: x, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 10\/13, -2, -1, -2.5 in descending order.\nAnswer: 10\/13, 0.1, -1, -2, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/81*(-8)\/(64\/(-12))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 5*v + 11. Let p be q(5). Let k = p + -7. Suppose 0 = -5*u + 3*d - 2*d + 153, 0 = -k*d + 8. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*y - 188*y - 375*y = 24*y + 15732 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s - 4*x - 3, 12 = 3*s + x. Let t(g) = 4*g - 6*g + s*g. Let q(h) = -22*h. Calculate q(t(j)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 3. Let y = -2924 - -2918. Let s(q) = -1. What is y*s(n) + 2*t(n)?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 86 = -92 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -79 + -1 - (-27 - (-12 + (28 - 51)))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -18157241?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2 - 48*k**2 + 80 + 5*k**3 - 8*k**2 + 30*k + 17*k**2.\nAnswer: 5*(k - 8)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138 - 6*s + 545*s**4 + 7*s + 143 - 281 - 49*s**2 wrt s.\nAnswer: 13080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Let h = m + -2. Let q = h + -3.05. Round q to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6223 + 2.\nAnswer: -6221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 68 = -2*k, 2*k - w = -3*k + 170. Let o = 42 - k. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*i - 5 = 7, -c - 19 = 3*i. Let p(a) = -a**2 + 5*a + 10. Let h be p(8). Sort 0, 4, h, c.\nAnswer: h, c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:07 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11556)\/(-540) - (-4)\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31802 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s*s**(2\/7))\/(s\/s**6*s*s**(-1\/4)\/s))**(-39) assuming s is positive.\nAnswer: s**(-2769\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k - 5290 = -2*p + 47*k, 0 = -3*p + 4*k + 7935. What is the remainder when p is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*q + 2 - 2)*(43 - 43 + 28*q).\nAnswer: 448*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 4*v = q - 10, 5*q + v = -14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15655.736 - 622\nAnswer: -16277.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818166 is divided by 1818158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4718*h**2*l + 6*h**2*s**2 + 2*h*l*s**2 + 6*l*s**2 + 442*s wrt h.\nAnswer: -9436*l + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27*21 - (-2)\/(-3). What is the highest common divisor of 88 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -h, 3*b - 11*h + 20*h = -15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -601.1 - -598.1. What is the fourth biggest value in d, -0.9, 2, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/10, -71126.\nAnswer: -71126, 0, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 73 (b) 4 (c) 1.4 (d) 5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/63 + ((-152)\/(-14) - 1). Suppose -r*c = -10 - 20. Solve j = 3*x + 3, 0 = 5*x + j + c*j - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*l + 0*l - 2*l)*(-511 + 417 + 529 - 3*l + 426) to v + b*l + k*l**2 and give b.\nAnswer: 5166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -26229.\nAnswer: 10491.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*sqrt(65)*-4)\/sqrt(5)*1.\nAnswer: 3 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -2. Let f(l) = -l**3 - 15*l**2 + 18*l + 31. Let z be f(-16). Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -733, -732, -731, -730, -729?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11780.16kg?\nAnswer: 11780160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 33*o - 138 = 0. Let b = o - -94. What is the highest common divisor of 80 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.22 and -84?\nAnswer: 80.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 4057*z**5\/5 + 1728*z + 3057. What is the first derivative of u(r) wrt r?\nAnswer: 16228*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177\/21 + (-2916)\/(-5103)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103391801 less than 103391800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(468\/8)\/(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4375 is divided by 133?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 563062.7ms?\nAnswer: 563062700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4344.\nAnswer: -1\/2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*j = 6, -3*v + 39*j + 22 = 41*j. Let u(y) be the second derivative of 0 + 1\/3*y**4 - 2*y - v*y**2 + 2\/3*y**3. Factor u(h).\nAnswer: 4*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6316 divided by -2\nAnswer: -3158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -54*d**2 - d. Let a(q) = q**2. Calculate a(n(w)).\nAnswer: 2916*w**4 + 108*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 20. Let a be b(16). Solve -a*w + 1 = 5*j + 4, -5*w = 4*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6008\/12)\/(-3*8\/(-36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 - -140. Are r and 25 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from ekone?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -40 - 41) + 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 + 2 + 4 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(847) + 3*sqrt(847))**2.\nAnswer: -352*sqrt(7) + 13568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2206962 at most -19862665\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.9. Let a = 4 + -3. What is the closest to a in 0.4, 0, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322075057 a multiple of 5241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most 730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**2*s + 3486*f**2 + 232*f*s**2 + 1 wrt s.\nAnswer: -5*f**2 + 464*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*x + 4*x + 4*x)*(1 - 3 + 0) + 7*x - 3*x + 0*x)*(13*x**3 + 14*x**3 - 20*x**3).\nAnswer: -28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w - 5*i = -43, 0 = 5*w - 4*i - 244. Suppose 36 + w = j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175560531.\nAnswer: 3, 4943, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 21 = 7*a - 4*a, -4*x + 14 = 2*a. Is 6 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 6 (b) -0.02 (c) 3\/5 (d) 1 (e) 26 (f) 4 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9385 + 9637. Solve n = z + 253 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -496, -769, -1046?\nAnswer: -1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + 5 - 5)*((3 - 1 - 5)*(2 + r - 2) + 4*r - 4*r - 2*r + 121*r - 2*r + 69*r).\nAnswer: -915*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 8}. Give prob of picking 2 o and 1 c.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 0. Suppose o = 4*g - 4*r - 48, -4*r = -9*r + 5. What is the remainder when g is divided by -5 + (-6 - -2) + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-9 - -11 - 19).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 135*k**2. Let c(q) = -83215*q**2. Give y(c(f)).\nAnswer: 934839390375*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0367 * 0.36\nAnswer: 0.013212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41197596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -42*k**3 + 2*k**2 - 1. Calculate the remainder when u(-1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4779*p**2 + 1643*p wrt p.\nAnswer: -9558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaoojaaoooojajo. What is prob of picking 1 o and 1 j?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -43.5, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let j(h) = 7*h - 1. Let l(t) = -13*t + 2. Let u(m) = -11*j(m) - 6*l(m). Calculate 2*c(x) + u(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b - 14*b - 43*b - 24*b.\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 6*n. Let x be c(-6). Suppose x + 2 = j. Suppose 4*s = j*s + 370. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-30)*5\/4)\/(-1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -9. Let v be 12\/42 + (-132)\/21. Let k = t + v. Solve 0*o - o + k = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13472640 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12966.\nAnswer: 2, 3, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6476 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171232\/357 - 1439\/3. Let s = 2\/17 - v. Let o = -586\/7 - -84. Which is the closest to -0.1? (a) 1 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 1442427?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2352\/(-10) - (6 + 217\/(-35)). Let z = 237 + o. Solve 0 = z*r - 3*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22995 + 22976. Which is greater: v or -930\/49?\nAnswer: -930\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234622 is divided by 137177?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.89 from -1.793.\nAnswer: -0.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1900009 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 divided by -2?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6249119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -13. Suppose -c = 3*s + i, 5*c + 6*s = 2*s - 2. What is the remainder when 6 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -2aa4?\nAnswer: -2aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*l + 11 + 22, 16 = 2*v + 4*l. What is the nearest to 1 in 6\/7, -5, 2\/9, v?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 >= 770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-3\/4)*j*j**(-1)*(j**1)**(2\/59) assuming j is positive.\nAnswer: j**(421\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/4 + 11*g**3\/3 - g**2\/2 + 11*g - 8559. Determine z(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121736783*c**5*i + 263*c*i - 67345*c - i wrt c?\nAnswer: 2434735660*c**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 5. Let x = -9 - -9. Let c be z(x). Suppose -y - 31 = -3*t, c*t = -2*y + 4*y + 52. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 344 = 55*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**5\/20 + 5*q**4\/12 - 2*q**3\/3 - q**2 - 3*q + 53. Let o(t) be the first derivative of r(t). Determine o(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 0 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33451 and -412716.337?\nAnswer: 379265.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 54. What is the units digit of 43692\/36 - o\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14544 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 283 (b) 3 (c) 0.5 (d) -4 (e) -128 (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -2*z**3 + 10*z + 0 - 3*z**2 - 1\/12*z**4. Let q be g(-11). Solve -k = -3 + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27055*r**3\/3 - 126288*r**2 - 442337*r - 4606\/3.\nAnswer: -(r + 7)**2*(27055*r + 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -27\/5, 3\/5, -4.\nAnswer: -27\/5, -4, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + 47. Calculate the highest common factor of 58 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-56)*((-129)\/18 - -6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 61*l**2 - 50*l + 363. What is the units digit of v(-61)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**3 - 22*o**3 + 38*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -100?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6864 and 41262?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1271850 and 252.\nAnswer: 53417700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/(z**(2\/13)\/z)*z)*z)))\/(z**(-2\/9)\/z)*(z*z*z*z**(2\/7)\/z*z)**(1\/8) assuming z is positive.\nAnswer: z**(5155\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4*v**3 + 3 + 2*v**3 - 11.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 + 6*d + 1. Let q be v(-6). Let c be 4\/(-3)*24\/16. Let z be q*(c - -2)\/(-1). Which is greater: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (-5 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-1)*88\/(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 1, r: 1, d: 4, t: 2}. What is prob of picking 2 d and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 21*s**2 - 75*s + 150. Let o be t(2). Put o, -5, 3 in ascending order.\nAnswer: -5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196\/303 + -2\/101. Let j = -0.2 + -0.2. What is the closest to h in -2\/7, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 271 + -271. Solve w*z - z = -4*r + 3, -2 = -2*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/12 - 9\/18)*3. Suppose -4*j = m*q + j + 665, -5*j - 263 = 2*q. Let o = -16 - q. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*(n\/n**(-5\/2))\/n*n*n*(n\/(n*n**(-18)))\/n*n\/n**15)**46 assuming n is positive.\nAnswer: n**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-3)\/(-3) + (4 - 4). Let i(h) = -h + 7. Let f be i(5). Sort b, f, 4.\nAnswer: b, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42979035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -4. Suppose 10*y - 15*y = -s. Suppose -8*k = -y*k - 2800. Round k to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177 - -0.95\nAnswer: -176.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j - 12. Is v(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Let w(l) = -2*l + 2. Let r(s) = m(s) - w(s). Let d(c) = 5*c - 5. What is 4*d(h) - 18*r(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 - 11*s**2 - 43*s**2.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**2 + 0*k**2)*(-1 + 4 - 1)*(-2 + 4 - 1) + (-4 + 4 - k**2)*(3 - 1 + 0) + 2*k**2 + k**2 - 4*k**2 + 0*k**2 - 5*k**2 + 6*k**2 + 3*k + k**2 - 3*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o**2 - 187*o + 7. Calculate m(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22963187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g - 34. Let n be l(-4). Factor -17*c + 38 - 4*c**2 - 3*c + 40 - n.\nAnswer: -4*(c - 2)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -218567361*m + 106730586 wrt m.\nAnswer: -218567361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(0 - 4\/(-1244)). Let f = n - -89. What is the greatest common divisor of 40 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1359201)\/(-4) - 43\/(7052\/205) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2262, -3337, -3200, -1845, 734, 4543, 9588, 15875?\n\"Answer: o**3 + 600*o**2 - 2882*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 14\/(-42))*-69. Solve -25 = -o - b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91694*g**2*p - g*p - 42185*g - 2 wrt g.\nAnswer: 183388*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 915 (base 12) to base 4\nAnswer: 110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6366 and 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 602, 1708, 3332, 5474, 8134?\nAnswer: 11312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -112666734 divided by 37555578\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -15*x**2 + 1\/24*x**4 + 0*x - 19\/3*x**3 + 0. What is the derivative of c(s) wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 1. Let c = -2248 - -2245. What is v(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -11. Let i(x) = 8*x + 16. Let u be i(-2). Suppose u = 7*k - 4 + 18. Is y <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794 is divided by 463.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973, 1444, 1915, 2386?\nAnswer: 2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207758368*g**2*m**3 - 15*g**2*m**2 - 286*g**2*m - 4*g*m**2 + 10*m**2 + 4*m + 2 wrt m?\nAnswer: 1246550208*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t. Let z(q) = 163*q - 134. Give z(o(y)).\nAnswer: 489*y - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 851923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235423906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -9*i**5\/4 + 35*i**3\/6 + 5*i**2 - 14*i. Solve f(t) = 0 for t.\nAnswer: -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -2*g. Suppose -5*k + 2*k + 21 = 0. Let j = k - g. Solve -33 + j = t + 5*f, -2*f = -5*t - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01551 + 55835.77?\nAnswer: 55835.75449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 - 73 = 0. Let k be (-26)\/(-65) + j\/(-5). Solve k = 3*s - 6*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 164\/(-10) - 2\/(-5). Let s be c\/104 - 2\/(-13). Solve s = 5*l - l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(88)*-1)\/((1*sqrt(72))\/sqrt(9) - (sqrt(800) + 2*sqrt(800))).\nAnswer: 15*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2729 - -859. Let u be 4\/18*((-101691)\/(-4))\/(-3). Let m = u - o. Find the common denominator of m and -67\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1260845, -2521641, -3782437?\nAnswer: -5043233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:42 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/7 - 834394*p**2\/7 - 5840672*p\/7 - 5006280\/7 = 0. What is p?\nAnswer: -417190, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 20. Suppose -4*a + o + 8 = 0. Suppose -22 = 4*n - b, 0*b + 24 = -a*n + 2*b. Let d(s) = 2*s + 4. Give d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, i: 3}. What is prob of sequence zi?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-6 + (-8 - -1 - (26 - 37))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 939*i + 12354. Give p(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**2\/2 + v + 7. Calculate i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 292699 and -1063.\nAnswer: 291636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 11*o - 8. Solve -5 + 13 = -o*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 13*y - 10. Let c be i(12). Let z(h) = -h**2 + 8*h - 5. Let n be z(5). Solve l - n = -w - 2, -c*w = 3*l - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2440*f*y + 537*f + 1090*y + 3044 wrt y.\nAnswer: -2440*f + 1090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -16*a + 45. List the prime factors of o(-9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*v + 417 + 288 - 97. What is the highest common factor of 194 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6724 and 15452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 714\/306*((-3)\/(-6))\/(18\/(-12))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 + 9*o**2)*(4 - 3 - 3)*(7*o - 27*o - 22*o)*(-1 + 1 + 1).\nAnswer: 756*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.3 and -1128.\nAnswer: -1125.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2798249 and 2047.\nAnswer: 2047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 7*l + 5 - 2*l**2 + 7*l. Let u(g) = -2. Let a(o) = 2*b(o) + 5*u(o). Let y(i) = -3*i**2. What is a(y(v))?\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b + j = 128*b - 1, -2*b - 2 = 2*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5692319 rounded to three dps?\nAnswer: -0.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*k = -6, 26 = 5*t - 2*k + 8. Suppose 3*z = -t*z. Let q(j) be the second derivative of -j**4\/12 + j**3\/6 - 4*j**2 - 4*j. Determine q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/49 + (-5)\/(-7))\/(-266 + 260).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -4 + 1)*10. Suppose 21*b = r*b - 792. Let s = b - -73. Solve 5 = -t + s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141565 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 - 6*q - 8. What is b(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 166379 - 51403. Let b = 71012 - p. Suppose -2*n - 6*n + b = 0. What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2180*z = -2258*z + 624 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/545 and 32\/47415.\nAnswer: 47415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87781, -87780, -87779, -87778?\n\"Answer: q - 87782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1394*g - 2778*g + 5 + 1355*g - 5.\nAnswer: -29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + 0.33. Let z be 3\/((-21)\/(-2)) + 0. What is the biggest value in j, 0.3, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 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: Factor 2*m**2 + 49310*m + 42027128.\nAnswer: 2*(m + 884)*(m + 23771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15473 - 4*a + 15473.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 7339.\nAnswer: 1467.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96373377 to the nearest integer?\nAnswer: 9817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13300\/285*15\/(-20)*(-3)\/(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 22 = 4*l, -5*b + 2*b = -5*l. Suppose -l*r + 45 = 6*r. What is the remainder when 5 is divided by 8*(-5)\/(-50)*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*x = 0, 3*x = 2*l - 2*x. Suppose l*z - 3*z + 2*s + 6 = 0, -z - 9 = 3*s. Which is greater: -13\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 13 + 5 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 176 = -116. Suppose z - 85 = -3*u. Is u less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*((4*(-2 + sqrt(34)\/sqrt(2)))**2 + 3*(sqrt(17) + (sqrt(153) - 1*sqrt(153)))**2 + 1).\nAnswer: -192*sqrt(17) + 1164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 424, 852, 1436, 2176?\nAnswer: 3072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.12, 5\/3, 3.87 in descending order.\nAnswer: 3.87, 5\/3, -5.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n + 42*n = -21*n - 255 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-61)\/9 + 4365\/(-21465).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 304\/14 + (-10)\/(-35). Suppose -12*g + g = -z. Find the second derivative of 3*u**2 - 18*u - 7*u**2 + 5*u**2 + 5*u**g wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 57 - 33. Which is greater: -13 or p?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3 - (-213 - -222)) + -12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 17. Suppose -2*w - w + 6 = 0, a*l - 3*w - 10 = 0. Suppose 0 = 141*g - 150*g + 45. Solve -5*o + 4*h = -l, -5*o + 5 = -0*o - g*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, r: 3, k: 5}. Give prob of picking 3 r and 1 k.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffhhffh. Give prob of picking 4 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 115\/2. What is the third smallest value in 14, 1, c?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 315 - 221. Calculate the remainder when 655 is divided by n.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, -8, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-260*l**2 - 11*l**3 + 260*l**2)*(-300 - 354 - 826 + 391).\nAnswer: 11979*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 107 - 37. Suppose 0 = -f + 5*z - 4, -13*z + 10*z = 5*f - 36. Suppose -94 = -f*n - s. Let d(m) = m**2 - 6*m + 3. Give d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + -1 + sqrt(475) + sqrt(475))*2*1)**2.\nAnswer: -320*sqrt(19) + 7664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11946261 divided by -4.\nAnswer: -11946261\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 541*x**2 + 278*x + 1793. Calculate l(-271).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 6:45 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and (-26 - -10)*(-7 + 4 + -8)?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 3. Let y(m) = 4*m + 5. Let a(j) = -8*t(j) - 5*y(j). Let p(f) = 9*f - 5 - 2*f + 7 - 3. What is -5*a(i) + 3*p(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -24. Solve -2*f = -u*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:53 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/19 + 285645\/3425*10\/(-19)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15983 (base 14) to base 16\nAnswer: d2ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*p + 83 - 19, -5*p + 4*q = 6*p - 25*p + 12*p + 134 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 468\/30 + (36\/15 - 2). Let o(u) = u**3 + 4*u**2 - 5*u + 15. Let t be o(b). Suppose -2*n = 3*n - t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86 - -96 - (-17 + 1)) + 16 + -10.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 8*d - 396. Let h = d - -135. Solve -26 = h*f + 4*b, 2*b + 0*b = -10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17079, -34158, -51237, -68316, -85395, -102474?\nAnswer: -119553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.774 and 0.26878.\nAnswer: 12.04278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 30. Let q(s) = -1 + 14 + 51 - b - s. Is q(0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 + 116 + (19 - -47)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5352, 10819, 16628, 22947, 29944, 37787, 46644?\nAnswer: 56683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, 11\/16, 1\/4 in descending order.\nAnswer: 7\/4, 11\/16, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*(-8)\/(-320)*34036 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + -0.42?\nAnswer: -38.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 - -27.14.\nAnswer: -9.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969020 is divided by 138430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9080.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 - -110. Let q = 1527 - h. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -46 (c) 0 (d) -33 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*o + 101*o + 87*o + 29*o**2 - 285*o + 9 - 8.\nAnswer: 29*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242437 is divided by 1987.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1956 + 3274. Let b = -910 + h. List the prime factors of b.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 140\/44 + (-2)\/11. Suppose -f + 11 - y = -4*q, 0 = -f - 4*q + 24. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3381 divided by 483\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66\/13 - -278\/65. Suppose 2*v - v = 0. Is m smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 4\/9, -3, -19919?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o - 27. What is the lowest common multiple of 38 and d(5)?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 2*f + 6. What is j(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = 5*z + 25, -z - 4*j - 17 = 0. Let v = 0.2 + 0.3. Let p be -7 + (0 - -3) + 0. Which is the nearest to z? (a) p (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 16*g + 16. Let r(x) = -15*x - 3. Let m(a) = -26*a - 6. Let v(b) = 3*m(b) - 5*r(b). Determine -4*k(o) - 22*v(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.6 + 56. What is the closest to 0 in c, -4, 0.6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/32 - -1499\/96. Let m = -3304\/3 - -9977\/9. What is the common denominator of o and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1388 - -1385 - (0 + (-4 - -2)) - -69?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 39*h - 34*h - 6*a + a, 4 = -2*a for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8)\/(x\/(x\/x**(-2\/19))))\/(x\/(x*x**(-6)\/x*x)*x**(-7))*((x\/(x*x**2))\/x*x**(-2\/5))\/(x*x\/(x*x**(-1\/3))*x*x**5) assuming x is positive.\nAnswer: x**(-21667\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/(-9) + 4 + 26620\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64208356?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 468*q - 928. Calculate f(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**4\/12 - 3*d**2 - 125*d. Determine v(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17028335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = -a, 2*u + 4*a + 236 - 240 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 6*s + 1500. What is the units digit of q(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598, -597, -596, -595, -594?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39603, 79187, 118745, 158271, 197759?\n\"Answer: -h**3 - 7*h**2 + 39612*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 16. Suppose -i = -4*i - 5*m - 450, 0 = -3*i + 5*m - 450. Let y = 143 + i. Calculate g(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fctcfsffcfceccfet. What is prob of sequence fcee?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*n**2 + 63*n**2 - 95*n**3 + 3 - 3 - 15*n**4 + 35*n = 0. What is n?\nAnswer: -7, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 5*u - 6 - 2, -9 = -11*v - u + 9 - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*r = -4, -10*l + 4*r - 10 = -9*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + 5\/(120\/14). Solve -1\/3*y**2 + 0*y**3 + h*y**4 + 0 + 0*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 19. Let d be r(-13). Let b be 12\/(-24) - 22\/4. Let t = b - d. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93796 + 114685 + 1051022 = 23*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltlllleltofllfllelf. What is prob of sequence eetf?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 894, 1899, 3026, 4275, 5646?\nAnswer: 7139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94991860?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/((-845)\/16276)*(-5)\/(-2).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161 + -121. Let p be (u\/(-16))\/(3\/(-6)). Put p, -6, 0.3, 1 in ascending order.\nAnswer: -6, 0.3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -2.9, -21.31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -2\/13, -452, -0.2, 361 in descending order.\nAnswer: 361, 2\/15, -2\/13, -0.2, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 4*l + 1. Let h be k(-3). Sort -4\/7, -3\/4, h.\nAnswer: -3\/4, -4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 2*t**3 + 2*t**3)*(-3 - 3 + 4) + (45 - 336 - 37)*(-7*t**3 + 3*t**3 - 2*t**3) + (-2 - 3 + 4)*(t**2 - t**2 + t**3).\nAnswer: 1963*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k + 1\/8*k**3 + 2 + 9\/8*k**2.\nAnswer: (k + 1)*(k + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*c, 3*c - 2*p + 3 = 2*c. Let w(n) = 9*n**3 - n + 1. What is w(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 10*l - l**3 + 14*l + 3*l**2 + 2 to q*l**2 + s*l + x*l**3 + j and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6303129 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22693 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -36*i + 140*i - 5*i**2 - 104*i. Let p(d) = 4*d - 53. Determine p(o(y)).\nAnswer: -20*y**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(2\/75)*s*(s\/(s\/((s\/s**(-4\/7))\/s)))\/s assuming s is positive.\nAnswer: s**(839\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2466959 and 69322.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10535, 29945, 62299, 107597?\nAnswer: 165839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + -7 - 1*-1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/2)\/(3\/(-18)). Let g be (w\/(-28))\/(3\/(-2)). Let y = -0.1 - 0. Sort y, g, 2\/9 in ascending order.\nAnswer: y, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 249\/66 + -2 + 63\/42. Which is the nearest to -1\/10? (a) 1 (b) u (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 + 2*m. Let s(h) = -3*h**3 + h**2 - 654*h. Calculate 2*k(v) - s(v).\nAnswer: v**3 + v**2 + 658*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1425 and 5890.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose -g*z = 6 - 15. Suppose 11 = -i - z*v - 6, -5*i + 5*v - 25 = 0. Is -8 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/23 (b) -0.763 (c) 59 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236c (base 13) to base 9.\nAnswer: 6755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxhhxxhhxhx. What is prob of sequence hh?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)*u**4*(u*u**(-5\/3))\/u**(-5) assuming u is positive.\nAnswer: u**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, 0.02, 3, 40507, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/4)\/(-76*(-20)\/15200)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5700?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.271804 and -15.\nAnswer: -4.07706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22688624, -45377251, -68065878?\n\"Answer: -22688627*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/(2\/(-18)). Suppose -f = -4*f. Let m be (f + (-1)\/s)\/(-1). What is the third biggest value in 0.3, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 14*w**2 + 80*w + 493. Determine x(-11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-72)\/84)\/(1\/(-203)). Let p = u - 1216\/7. Is 0.3 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + (-42 - 6) - -21?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8429338643.\nAnswer: 11, 766303513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 22, 10, 4 in ascending order.\nAnswer: -5, -2, 4, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10839*a*s**3 - 49089*a + 3*s**3 wrt s?\nAnswer: 32517*a*s**2 + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/12 + 11*i**3 + 3*i**2 - 277*i. Find the first derivative of g(w) wrt w.\nAnswer: 2*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*t = -4*m + 1902, 2*m - 1900 = -3*t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2. Let m(z) = 56*z**2 - z + 6. Determine -3*l(r) - m(r).\nAnswer: -56*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l - 1. Let t be q(-1). Let f(i) = -3*i - 3*i + 4 + 4*i**t + 3. Let b(u) = -7*u**2 + 11*u - 13. Calculate 6*b(r) + 11*f(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*6*(-4)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**3 + 3303424*g**2 - 272812610336*g - 436508633344.\nAnswer: -2*(g - 165172)**2*(5*g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -s + 1 - 4, -s + 2 = 3*o. Suppose 2*v + o = -b + 92, -3*v = -3. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 = t - q, -t - 5*q = 18. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 + 11 + 12)*(-6 + 6 - 5*z**2) as b*z + w + d*z**2 and give d.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 - -39. Calculate the highest common factor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2. Let h(i) = 23*i + 2. Determine m(h(l)).\nAnswer: 1058*l**2 + 184*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 224515 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 953786.7 tonnes in grams?\nAnswer: 953786700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10*265\/159.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 + 56*b**2 - 88*b - 2290. What is v(-18)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2*3 - -8. Let x = -5 + 11. Put x, -1, 2, g in descending order.\nAnswer: x, g, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2304 - 2258. What is the remainder when 1748 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 306 - 272. Put 2, 1, v, 0 in increasing order.\nAnswer: 0, 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*l**3 + 161*a**3*l**2 - 88*a**2*l**6 + l**3 + 2*l**2 wrt l?\nAnswer: -6*a**3 - 10560*a**2*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*w - 2*a, -4*w - 15 = -5*a - 42. Find the third derivative of w*i**2 - i**3 + 14*i**3 + 7*i**2 wrt i.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*s + 2 = -0, -2*s - 8 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 85. Let u = w - -53. Let a = u + -77.4. What is a rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, t: 6}. What is prob of picking 1 t and 1 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 y when four letters picked without replacement from {y: 6, k: 6}?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 1. Let i(l) = -256*l - 80. Let f(q) = i(q) + 80*m(q). Let c(d) = -11*d. What is 7*c(b) - 5*f(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -4908a60a?\nAnswer: 4908a614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42.47532 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) -608.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -681 + 1154. Let s = 0.0625 - 0.0625. Put s, 4\/3, d in decreasing order.\nAnswer: d, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is bb679 (base 12) in base 14?\nAnswer: 66589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99) + sqrt(99))*-3 + sqrt(99))\/(5*sqrt(9)*3).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*a + 40, 2*a - 3*w + 24 = -7*w. Let l = a + 20. List the prime factors of l\/10 + 238\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 4*t**2 - t + 1. Let o be d(-3). Let j be 1 + 14\/(-18) - 62\/36. What is the second smallest value in j, o, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0, 2.615 in descending order.\nAnswer: 2.615, 1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16956 + 16953 = -3*j, -3*i + 2*j = 20 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/42*-7*((-20)\/6)\/(370\/9990)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1051474844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87927373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 + o - 11. Let c(k) = k**3 - 3*k**2 + 3*k - 19. Let p be c(4). Is x(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + -8 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 23*y**4 + 32*y**2. Let g(w) = -12*w**4 - 16*w**2. Let o(h) = 13*g(h) + 6*t(h). Find the third derivative of o(n) wrt n.\nAnswer: -432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8955 + 9051. Calculate the greatest common factor of a and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12675318 and 69.5.\nAnswer: 12675387.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/17 + 636*p**2\/17 - 9198*p\/17 + 32536\/17.\nAnswer: 2*(p - 7)**2*(p + 332)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 24 = -k. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6 - 41. Let z be -9 + 10 + (c - -1). Let y(u) = -u**3 - 7*u**2 - u - 4. Let p be y(-7). Put 0, p, z in descending order.\nAnswer: p, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2356 * 1625.\nAnswer: -3828500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 615 - 613. Let s(o) = -o**3 - 2*o**2 + 2*o - 1. Calculate s(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 1 + sqrt(612) + 0 + (sqrt(612) - (sqrt(612) + sqrt(612) + sqrt(612) + -2 + sqrt(612)))*6)**2.\nAnswer: -2496*sqrt(17) + 156841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 130143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 639284 and 44588?\nAnswer: 100367588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21302 (base 6) to base 15\nAnswer: -ce8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -846*n**4*u**2 - 3*n**2*u + 3*u**2 + 11*u + 51 wrt n.\nAnswer: -3384*n**3*u**2 - 6*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 685 (base 11) to base 12.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 + -11480.4?\nAnswer: -11481.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 5*i - 2*i - i. Let h(g) = g. Calculate 3*h(w) + q(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - 12*c**2 + 5*c - 8. Let p be r(6). Suppose 12*t - 7*t - 5 = 0. Let o = t + p. Calculate the highest common divisor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1331) + -1 + 4 + -1*(sqrt(1331) + sqrt(1331)*3))**2.\nAnswer: -528*sqrt(11) + 12043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 77 (b) -34363 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114.578 + -0.022. Let f = z - -114.0447. What is f rounded to 2 decimal places?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(66))\/sqrt(2))\/(sqrt(11) + (2*sqrt(66) - sqrt(66))\/sqrt(6)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-52) + (-60)\/(-52))*-10. Let n be 2\/t*((-20)\/(-8))\/(-5). Solve 0 - 1\/2*d + 2\/5*d**2 + n*d**3 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*u + 3, -h + 3*u = -3 - 0. Let o(r) = 2 - 2 + h*r**2 + 0*r**3 - r**3 + 2*r. Let s be o(3). Let b(d) = -d**2 + 6*d + 8. What is b(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a**4 - 141*a**3 + 246*a**2 - 156*a + 24 = 0 for a.\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-4)\/(-42)*1509\/(-1006)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 99bb?\nAnswer: -99a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4 + -1)*((-3491)\/(-3) + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let x(s) = 20*s**2 + 3*s**2 - 6*s**2. Give f(x(w)).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -41.1?\nAnswer: -41.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 47*q + 1. Let v be h(-18). Let w = v + -92. What is the lowest common multiple of 2 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + 2c194?\nAnswer: 2c172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.3356009 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + -3 + 5 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26995 - 26998. Which is the closest to 0? (a) 6.6 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 18. Let o = s - 4. Suppose -3*i - i = -o*l + 101, -5*i + 5 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Let l be (-85)\/(-2)*(-4)\/(-5). Suppose 0*s - 35 = -3*c - i*s, 2*c - 4*s = l. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73340 and 1900.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 112 - 50 - 17*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-1)\/(-3)*21 - 25\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/(-172)*(25 - 3). Let q(k) be the first derivative of -5 + 0*k**3 + 0*k - 5\/4*k**4 + z*k**2. What is the second derivative of q(s) wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**4*b)\/(b\/(b**(-4)\/b))*(b**(2\/9))**14 assuming b is positive.\nAnswer: b**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:00 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1730599.0044 and 1018?\nAnswer: 1729581.0044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhc when three letters picked without replacement from cmwmmfhhmmwmfmwfff.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + 164\/68*17. Factor 324*x**2 + 16 + 310*x**3 + z*x**4 + 616\/5*x.\nAnswer: 2*(x + 5)*(5*x + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {u: 2, l: 2, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b - 6*b - 12*b**3 + 18*b**3 wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -139*c**2. Let t(g) = -4*g - 1096. Determine t(m(q)).\nAnswer: 556*q**2 - 1096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 130221200 (base 4) to base 3\nAnswer: 12221222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**4 - 11194*x**3 - 592409*x wrt x?\nAnswer: 72*x**2 - 67164*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(2\/7)\/k*k)**13*k**(1\/2)\/(k*k**8))**(-49))**(-25) assuming k is positive.\nAnswer: k**(51975\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c**4 - 4*c**3 + 9*c + 4. Let w(p) = -26*p**4 - 11*p**3 + 26*p + 11. Let n(q) = 11*b(q) - 4*w(q). What is the second derivative of n(i) wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -447.466 - -0.466. Let b = -443 - t. What is the closest to 2\/3 in -3, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w**(-6)\/w)*w))\/(w*w**(-7\/4)*w)*w**(-1\/3)*w**(1\/3) assuming w is positive.\nAnswer: w**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r + 5*r + 3*r)*(4*r - 4*r + 2*r) + (2 - 2 - r**2)*(-2 + 7 + 28) + 2*r**2 + r**2 - 5*r**2.\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.105 (c) -5 (d) 5 (e) 3 (f) -2\/10605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36019 and 145677090.\nAnswer: 145713109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 620\nAnswer: 12400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-z - z + z)*(-10*z**2 + z**2 + 3*z**2).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 282965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92\/7*s**3 + 0*s + 0 + 454\/7*s**4 + 4*s**5 - 64\/7*s**2 = 0.\nAnswer: -16, -1\/2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g - 2. Let z(n) be the first derivative of -2*n**2 + n + 1. Suppose 2*q + 0*q = -6. Let r be q\/(-1) - 10\/(-5). Give r*z(u) + 2*h(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 2 - 2*g - 1 + 1 - 2*g**2. Let j be i(3). Solve -j*y + 0*y = 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 4987 + 4961 - 9884 - 2*l**2 - 9*l**3 to the form k*l**2 + z*l + b + g*l**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 25*j + 7. Give w(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 100 = 35*s. Let u(y) = -y - 4. Let z(q) = -q - 5. Calculate s*u(k) - 3*z(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -246365 - -246323.0019. Let o = 42 + w. Round o to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q - 11*i + 14*i, 0 = 2*q + i. Which is the closest to 1? (a) q (b) 7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Solve -2*g + 224 = 19*g - 70 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57, 40, 13, -24, -71, -128, -195?\n\"Answer: -5*w**2 - 2*w + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -410 or -100?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:49 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020693911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1283105 and 0.2.\nAnswer: 1283105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 8740*s**2 + 207548*s - 198812.\nAnswer: 4*(s - 2161)*(s - 23)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23584 and 20394.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 2141 = 2171 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 51. Let b be 15 - (-1 + (-1 - 0)). Suppose -q + 3 = -b. Solve -h*z = -q, -6 = m - 2*z + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1685 = 10*u - 5*u - 5*i, 7*i + 1679 = 5*u. Calculate the highest common divisor of u and 1496.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l. Let a = 5 - l. Suppose 5*i = -k + 18, 5*k + 2*i = 20 + 1. Solve 5*m + 0*m = -k*g - 40, -m - a = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -112, -114, -116?\n\"Answer: -2*q - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n - 20 = 0. Suppose 1077 = n*k - k. Suppose 2*p - k = 23. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 16*n - 9. Let k(z) = z**3 + 3*z**2 - z + 1. Let a be k(-2). Let j be h(a). Let s be (3 + -1)*j\/(-10). Put 0.1, s, 2\/7 in descending order.\nAnswer: 2\/7, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22385*c**3*k**3 - 194535*c**3*k + 313*c**2*k**3 + 29*c*k**2 - 2*k**3 wrt k.\nAnswer: -134310*c**3 + 1878*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -37*d**2 - 735*d + 74. Let l be o(-15). Which is smaller: l or 2770?\nAnswer: 2770","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(2\/41)\/(((j\/j**(-2))\/j)\/((j*j\/(j**(-2\/25)\/j))\/j)) assuming j is positive.\nAnswer: j**(182\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b6 - -1455?\nAnswer: 117d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.705926462 rounded to 2 decimal places?\nAnswer: 9.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + o**3)*(o - 4*o + o) - 54*o**2 + 54*o**2 - 11*o**4 + 2*o**2 - 2*o**2 - o**4 + (-3 - 3 + 4)*(-2*o**4 + 0 + 0).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z - n + 6, 0 = -5*z + n + 8. Suppose 431*d - 428*d - 30 = 0. Suppose 0*l - z*l = -d. Solve f = -l*p - 11, 5*p + 3 = -2*f - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(0 + (2 - 3)). Differentiate 2*u**3 - 2*u**4 - h + u**4 - 2*u**3 wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -719*q**5 - 9631*q wrt q?\nAnswer: -14380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 30 = -2*m, 2*o + 2*o + 44 = 4*m. Solve -m*j = -2*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d (base 14) in base 12?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -19.9. Let h = 2 - k. Which is the second smallest value? (a) -1\/4 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 1. Let z(w) = 5*w + 5. Let y(l) = l**2 + 11*l + 9. Let n be y(-9). Let o be n - -1 - -1*4. Give o*j(a) + z(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(450\/(-280)) + -12. Which is the second smallest value? (a) -1 (b) -0.1 (c) 1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77, 143, 213, 287, 365, 447, 533?\n\"Answer: 2*s**2 + 60*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -40, 37, 198, 473, 892, 1485?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -8. Let s be (3\/(-9))\/((-2)\/i). Let b be 44800002\/8 + s\/8. What is b rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1260 and 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21664, 86586, 194786, 346258, 540996, 778994?\nAnswer: 1060246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 38. Calculate the remainder when 27 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {d: 13, w: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52903873 a multiple of 2967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.9632512 to the nearest integer.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**3 + 3*m**2 + 5*m + 1. Let p(a) = -4*a**3 - 2*a**2 - 3*a - 1. Suppose 0 = 5*s + 3*t + 27, 4*t + 1 = s + 4*s. Give s*z(n) - 5*p(n).\nAnswer: -n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -13, -22, -35, -52, -73?\n\"Answer: -2*d**2 + d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = 0, 54*y + 15 = 50*y - 5*u. Let m(w) be the first derivative of -9 + 19\/2*w**2 + y*w - 8*w**3. What is the second derivative of m(j) wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 10*g**2 + 9*g - 8. Let l be a(6). Suppose 4*y = -2*n - 0*y + 66, y = -4*n + l. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/207222 and 35\/999.\nAnswer: 69004926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/1430*20\/4.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 2*g + 9. Suppose 15*w - 19*w = 52. What are the prime factors of f(w)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1874014.2 minutes to days.\nAnswer: 1301.39875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/24 and -43\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/12 - 2\/8 - -5. Suppose 0 = r - 0*r + j - 296, a*j - 1477 = -5*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 5*w**3\/6 - 46*w. Calculate c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:11 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3488918382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 5. Let c(v) = v + 6. Let q(w) = -4*b(w) + 3*c(w). Let p(a) = -1. Let k be (-1 - (-6)\/(-4))*156\/(-130). Determine k*p(j) - q(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x**2 + 4*x**2 - 6*x**2)*(3 - 7 + 2) + 10 - 10 - 10*x**2 - x**2 + 5 - 5)*(2*x - 5*x + 2*x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 + 2*z - 85*z**3 - 237 + 473 - 6*z**2 + 6*z**3.\nAnswer: -79*z**3 - 6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -1 - (-4 + -1). Suppose 0 = 2*u + 10, -5*j + 35 = -d*u. Suppose 0 = -2*r - 2, -p + 4*p - 3*r = 0. Is p greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(0*g + 2*g - 4*g) + 1 - g - 1 - 444 - 3191*g + 1586*g + 1596*g.\nAnswer: -14*g - 444","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**10\/2520 - d**6\/72 + 2*d**3\/3 - 5*d. Let o(m) be the second derivative of i(m). Find the third derivative of o(x) wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59747, -59806, -59961, -60260, -60751?\n\"Answer: -8*c**3 - 3*c - 59736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (32\/4)\/1. Let s be 7\/(-28) + 2\/j. Solve -4*k + 2*k + 10 = s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-1)\/2)\/((-6)\/168) + 2 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5279.59 and -2.3?\nAnswer: 12143.057","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2. Suppose 0 = x*f + 4*f + 987090. Let k = f + -85485. Round k to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -179*i + 90*i + 51086. What are the prime factors of i?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v**2 + 145*v - 21. Determine q(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -0*h. Let g = h + 0. Suppose -5*l - 2*i + 26 = -g*l, 0 = -5*l + 2*i + 44. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 3*l**2 - 3*l**2 + 3*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1562, 1822, 2482, 3734, 5770?\nAnswer: 8782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*r + 11 + 34, -5 = 5*r. Let m = z + 41. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726656334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25059 - 25057. Which is the fourth biggest value? (a) -0.2 (b) -7.65 (c) -1\/2 (d) 3\/5 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + m + 0*m - 5. Let y be j(4). Let q = -6 + 11. Solve -4*h - q = -w, y*h - 2*w + 15 = w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mqmmhqmqhmmmmmm?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {h: 2, c: 3, m: 1, z: 2, s: 1, j: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 30. Let m be ((-1)\/3)\/((-11)\/(-297)). Let s = m + d. Calculate the least common multiple of 5 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let f be 1\/(-4) - -1*(-1)\/(-4). Solve p*d - d = f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5832*l - 24. Let j(i) = 6*i. Calculate j(v(c)).\nAnswer: -34992*c - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2802)\/4*(-7 + 85\/15).\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56503615, -113007225, -169510835?\nAnswer: -226014445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17267209*o**2 + 8117595 wrt o?\nAnswer: 34534418*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11080*s**3 + 5150*s**3 - 2663*s**3 - 9259*s**3.\nAnswer: -17852*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 62*p + 4 - 256, 11 = -3*z - 2*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-11))\/(124\/5115).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q + 5. Let f(i) = -27*i + 14. Let v(l) = 6*f(l) - 17*z(l). Let d be v(1). Find the common denominator of (d\/(-4) + 3)\/4 and -58\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4111654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/7 - 764388*b**2\/7 + 9172332*b\/7 - 27516672\/7.\nAnswer: 3*(b - 254784)*(b - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2. Suppose 3*i = 2*i + 1. Suppose 3*d = -3*l - 3, -l + 1 = 3. Let k(p) = -i - 2*p + d. Give k(j(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.1 (c) -8\/11 (d) -0.0569\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*x - 5*w - 9, -x + w = 0. Suppose 0 = -4*f - t + 75, -2*f + x*t + 42 = 4*t. Calculate the greatest common divisor of 450 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/11480540 and 36\/6314297.\nAnswer: 126285940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(891) - ((sqrt(891) - 4*sqrt(891)) + 0)**2)*4*1*-4.\nAnswer: -432*sqrt(11) + 384912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((30\/2760)\/(23\/46)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1831 != -1830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 16068*z + 38187*z to the form y*z + t and give y.\nAnswer: 22119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*z + 135*m + 4 = 140*m + 17, 4*m = 5*z - 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 3*h**2 + 3*h + 9. Let u be z(-6). Let v = u - 3. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**3 - 28*m + 28*m)*(-2*m**2 + m**2 - m**2).\nAnswer: -22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 + 5*f**2 + 4. Let w = -248 + 247. Let z(c) = c**3 - c**2 - 1. Determine w*u(v) - 5*z(v).\nAnswer: -v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0504 - 0.0504. Which is the nearest to 1.1? (a) 4 (b) 3 (c) -5\/4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -27, -54, -101, -174, -279, -422?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (96\/(-160))\/(1\/(-965))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 23*z**2 + 7. Determine a(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 f when three letters picked without replacement from uufiiufiujf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 27. Calculate the remainder when 23\/(-2)*-1*2 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/17)\/(t\/(t*(t*t\/t**(3\/2)*t)\/t)*t*t))**(3\/4))**(-3\/20) assuming t is positive.\nAnswer: t**(423\/2720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10381\/442 - 3\/221. Let z = l - -24. Which is the smallest value? (a) -5 (b) 1\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(100) - (-3 + sqrt(3))*2.\nAnswer: -9*sqrt(3)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 + -149. Let o(v) = 29 - r*v + 47*v - v**2 - 10. Does 3 divide o(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 - 749\/5. Which is the third biggest value? (a) h (b) 1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1151 - -3454\/3. Find u such that u - s*u**2 + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869 a factor of 222411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*c - 53*c - 32654 = 44*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003278 + 232706 = 45*z - 751846. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-45)\/40)\/(-15 - -9)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*y + 2*y. Let l(x) = 2*x + 8. Let a(u) = 6*u + 23. Determine y*a(i) - 11*l(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15123938 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2. Let m(k) = -17*k + 5. Let c(n) = 1. Let l be 3*(-6)\/(6*-3). Let t(s) = l*m(s) - 5*c(s). Calculate t(j(y)).\nAnswer: -68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 479959901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10313 (base 4) to base 16.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3\/3 + 5258*s**2\/3 - 98806*s\/3 - 218612\/3 = 0. Calculate s.\nAnswer: -1333, -2, 41\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m - 1248 = -40*m. Let r = m + 9674\/31. Is -1 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48673658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -46, -80, -152, -274, -458?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23393.932 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times -1.19?\nAnswer: 0.3094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691 + 296 = 7*p. Suppose 5*c - 9*c - 4*z - 564 = 0, c = 2*z - p. Which is smaller: -140 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5131729013.\nAnswer: 229, 22409297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.214 - -0.014. What is the nearest to u in 4\/5, 2\/25, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 17*r**3 + 0*r**2 + 0 - 4 - 16*r**3 to the form d + g*r**2 + k*r**3 + c*r and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, -0.5, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + n + 4 - 4 - 2*n + (-3 - 3 + 4)*(-2*n + 2*n - 2*n) - 3*n + 20*n - n + 0*n + n + 2*n + 0*n + 3*n - 2*n)*(-2 + 2 - n**3).\nAnswer: -23*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8773887 divided by 89\nAnswer: 98583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*m - 8, 2*m - 2*w = m + 5. Let b(t) = 66*t + 336. Let z be b(-5). Find the third derivative of -14*o**6 + m*o**6 - 13*o**2 - 18*o**z wrt o.\nAnswer: -3480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-4)\/6 + 1). Let s be j\/(40\/(-13) + 3). Suppose -5*u + 7 = -s. Solve 0 = 6*w - 2*w - 4*o - 24, 0 = 2*o + u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3945 * 0.29\nAnswer: -1144.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 598994750 a multiple of 1064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2825 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1260))\/(sqrt(35)\/sqrt(5)*-3).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**4\/24 - 2*d**3\/3 - 2*d**2 - 431*d. Suppose -4*n = -3*a - 0*n - 58, 0 = -a + 5*n - 23. Is 4 a factor of b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2*2\/20). Let l be (-1)\/5 + (-63)\/r. Solve -2*j - 2*u = -7*u, -4*u = -l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 4*l - 630*l**3 - 104 - 4*l**2 + l**2 + 51*l**3.\nAnswer: -579*l**3 + 2*l**2 - 4*l - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1647, -2097, -2561, -3045, -3555, -4097?\nAnswer: -4677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.036, 3170\/13, 0.3.\nAnswer: -0.036, 0.3, 3170\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4389 = -5*q + 9610, q - 27989 = -4*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7*x + 12 + 4*x)*(-2 - x + 5 - 6).\nAnswer: -11*x**2 - 36*x - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 6. Let f(d) = -d - 2. Let l(j) = 8*f(j) + 3*y(j). Let r be l(0). Differentiate 4 + 1 - 3 - r*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*m + 1323 + 167, -3*m - 12 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45685, 91359, 137037, 182719, 228405, 274095, 319789?\n\"Answer: 2*v**2 + 45668*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-102 - -49 - (2 - 11))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 540, 0.054, -0.3?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -9*x - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 7102 = -1270. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33302 is divided by 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90270 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d)**46)**(-13)*d**(-2)\/((d\/(d**(-1\/5)\/d))\/d*d*d)*(d\/((d\/(d\/d**(-2\/3)))\/d))**(-41) assuming d is positive.\nAnswer: d**(-1718\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5915, -5893, -5857, -5801, -5719?\n\"Answer: s**3 + s**2 + 12*s - 5929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864 at least -1\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101988 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.043 - 0.043. Let i = -4 - -5. Which is the biggest value? (a) i (b) x (c) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 119642.2.\nAnswer: 119639.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b3 - 5c?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -6*w - 269. Let q = w - -51. Suppose -3*g = -5*u - 39, 2*g - 55 = u - q. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19818 and 21735?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 + 65*a - 112*a + 41*a - 2*a + 4*a - 4*a + (-a + a + 2*a)*(-1 - 1 + 4) + (-1 - 1 + 5)*(2*a - 1 + 1).\nAnswer: 2*a + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112377561793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 370 - 370. Let w(l) = -l**3 - 12*l**2 - 13*l - 12. Let y be w(-11). Solve c*p - 5*p - y = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1 (b) 14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) 24 (d) 329 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -461?\nAnswer: -461.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5642074.39 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1317, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -15. Let y be 1 + -2 + m\/7. Let n(f) = 2*f**2 - 1. What is n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 8*n. Let w(o) = -o**2 - 5*o. Suppose 5*z = 4*c - 11, -z + 3*c - 15 = -c. Suppose -39 = -5*x + z. What is x*w(i) + 5*m(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c9 - 5?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10510 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/6 - 7*d**2\/2 + 2*d. Let v be j(6). Is v less than 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -625335900 to the nearest 100000.\nAnswer: -625300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-18))\/(44\/(-9) - -5). Sort l, -3, 4, -5, -109 in descending order.\nAnswer: 4, l, -3, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - (2 + -7 - 303).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -77*y - 5. Let q(l) = 14*l - 2. Let f(g) = -m(g) - 5*q(g). Calculate f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15550801 is divided by 148.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d**2 - d + 1. Let w(z) = z**2 + z - 1. What is -2*c(g) - 2*w(g)?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 - 3. Give z(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*p - 8*p - 50*p - 73 - 25*p wrt p?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 + 4\/18. Put s, -2, -0.3 in descending order.\nAnswer: s, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 379 - -141. Do n and 520 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 72 - 13*c**3 - 288*c - 11*c**3 - 1276*c**2 + 1118*c**2 + 6*c**3 = 0. Calculate c.\nAnswer: -6, -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 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: What is the next term in 32630681, 32630682, 32630683, 32630684, 32630685, 32630686?\nAnswer: 32630687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is (6159\/(-1))\/(-2 - (3 + -2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3 + r**2 - 7*r - 6 + 1. Let a be b(8). Suppose 2*g = 3*i - a*i + 27, 5*g + 3*i - 36 = 0. Calculate the remainder when 17 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:47 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b*m**2 + b*m*w + 10*b*m - 2*b*w + m**3 + 3*m**2*w + m wrt m.\nAnswer: -14*b + 6*m + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 11*h + 9. Let r be (-5)\/h*(102\/20 + -5). Which is the second biggest value? (a) -4 (b) -0.2 (c) r (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3205881 and 25368.\nAnswer: 3171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 591 divide 1416036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -782*y - 48426. Give n(-61).\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -2*y. Let v(c) be the second derivative of 1\/10*c**6 - 3\/20*c**5 - 1\/56*c**7 + y*c**4 + 0*c**2 - c + 0 + 0*c**3. Factor v(o).\nAnswer: -3*o**3*(o - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -2\/13, 8536980?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 6*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 12*q**2 - q + 14. Calculate s(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.1 - -32.2. Which is the nearest to 3? (a) -0.3 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + o**2)*(-o + 100 + 13 - 61).\nAnswer: -o**3 + 52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -165402 divided by 1\nAnswer: -165402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 + 42*o**2 + 81*o - 24. Give h(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1111010010011101111?\nAnswer: -1111010010011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 183952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -17*t**2 + 1 + 19*t**2 + 6. Let h(b) = -b**2 - 4. Give -5*h(r) - 3*x(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3\/3 - 13. Let p(g) be the second derivative of -g**4\/6 - g. Give t(p(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 595 - 66 = -761. Is r a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*p - 204 = -4386 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacaaqqa. What is prob of sequence qa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 8\/1667 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11198 is divided by 287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79810478.\nAnswer: 2, 11, 17, 213397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8661 + 21970. What are the prime factors of s?\nAnswer: 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 515, 517, 519?\n\"Answer: 2*x + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttjjjtjjtttt.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-2)*(-220)\/30. Let c = -75 + p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/941 or 1?\nAnswer: 6\/941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975343.\nAnswer: 975343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2039*r**3 - 6969*r**2 + 6969*r**2.\nAnswer: 2039*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -7, 2856 in descending order.\nAnswer: 2856, 10, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7\/5)\/k)\/k)\/k*(k\/(k**(2\/113)*k))\/k assuming k is positive.\nAnswer: k**(-3061\/565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**8\/56 - h**5\/15 - 7*h**2\/2 - 4*h. Let t(s) be the first derivative of i(s). What is the third derivative of t(u) wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174\/(-783))\/((-340)\/(-612) - (-4)\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7. Suppose 3*u + 5*b + 16 - 63 = m, 0 = -5*u + b + 41. Let y(d) = -d**2 + 9*d + 22. What is the units digit of y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3644 + 107 + 19883 = -909*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/402984 and 101\/64?\nAnswer: 3223872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**3 - 20*r**2 - 31*r - 14. Let v(m) = -m**3 - m**2 + 2. Let k(i) = -p(i) - 6*v(i). What are the prime factors of k(27)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36440\/1533 or 24?\nAnswer: 36440\/1533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -15. Let b(l) = 41 + 2 + w*l - 5*l + l**3. Is 16 a factor of b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.49 - -1.4. Let l = k + -4.91. Suppose 0 = -4*j + 5*y + 4 - 5, 5*y - 3 = 2*j. Which is the third smallest value? (a) j (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 408, 796, 1184, 1572, 1960?\n\"Answer: 388*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5\/5 - 258*q**4\/5 - 756*q**3\/5 - 150*q**2 - 249*q\/5 = 0. What is q?\nAnswer: -83, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -11. Suppose 3*b - 2*b - 2*c = 8, 3*b = -a*c - 3. Solve 0 = 3*g - 0*g - 4*x - 12, -b*g + 2*x + 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.04105 millilitres to litres.\nAnswer: 0.06504105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -131*j - 1549. Give o(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5957?\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 4150313414?\nAnswer: -4150313403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcchh. Give prob of picking 1 h and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*s - 7 - 2, -4*q = 5*s - 19. What is the second biggest value in 2\/31, 0, -1, q?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 538 and 14?\nAnswer: 3766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 604*i = -609*i + 108, 20*y - 5*i = -150 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -585, -1897, -4437, -8613, -14833?\nAnswer: -23505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -204.8 - -184. Let t = v + 20.80023. Round t to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17531182 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 l when three letters picked without replacement from oolillo?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.55, -5, -4, -2.\nAnswer: -5, -4, -2, 1.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 19021128.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 5. Let m be ((-3)\/2)\/(-1)*-6. Let j = 13 + m. Solve d*l + j = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525603179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53426?\nAnswer: 2, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 + 4*w**4 - 2*w**4 + (w**2 - w**2 + w**4)*(-2 - 2 + 5) + 6*w**4 - 8*w**4 + 22*w**4 to h + g*w**3 + t*w**2 + k*w**4 + v*w and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -61. Which is the biggest value? (a) 5 (b) 1 (c) n (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(78\/15 + -5). Let l(m) = -2*m**2 + 8*m + 3. Let s(u) = u**2 - 4*u - 2. Let n(y) = -4*l(y) - 9*s(y). Let p be n(r). Is 15\/7 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 108*d - 16. Let q(w) = 305*w - 47. Let a(j) = 6*q(j) - 17*u(j). Determine a(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-8 - -3) + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.4 = -252\/691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 4691465.3561?\nAnswer: -4691465.9561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 6. Let q be o(-9). Let b be (1 + (-52)\/51)\/(4\/q). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -1) + 115 + -97 + 48\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5459974105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3 minus 0.57?\nAnswer: 12.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-14))\/((-1596)\/8379). Let b be (-1 - 1) + (-35)\/(-20). Put 4, u, -3, b in decreasing order.\nAnswer: 4, u, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o + 0*o - o + 2*o - 3*o + (0 + 0 + o)*(4 - 4 + 1))*((-3*o**2 + 0*o**2 - 3*o**2)*(-1 - o + 1) + 31*o**2 - 31*o**2 + 13*o**3).\nAnswer: -57*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, y: 1, j: 1, w: 1}. Give prob of sequence syw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -241, -528, -985, -1612, -2409, -3376, -4513?\n\"Answer: -85*p**2 - 32*p - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhrr when four letters picked without replacement from {f: 6, h: 3, e: 1, u: 3, r: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1927, 3843, 5759, 7675, 9591, 11507?\nAnswer: 13423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.9 - -12. Let c = g + -0.1. Let m = -6 + c. Put m, -2\/7, -0.5 in descending order.\nAnswer: -2\/7, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 24*r - 51 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 274013\/(-2713) + (-1007)\/(-10)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-5)*5\/(-2). Suppose -3 = -x + d. What is the highest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10605 - -5592. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**7*q))**(1\/73) assuming q is positive.\nAnswer: q**(-7\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22491 and 39151?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 178 = 174 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 10*k + 9. Suppose 5*d + 37 = 6*d. Suppose -133 = -5*j + d. What is the remainder when j is divided by b(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20253 by 157.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 6*y - 1. Let i(p) = 0*p + 3*p + p - 5*p - 4. Let o be i(0). Let a be b(o). What is the highest common divisor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1178)\/(-93) + 2\/6. Sort -4, 2, 4, l in decreasing order.\nAnswer: l, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -940.3.\nAnswer: -103.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - q + 19 = 0, 3*c - 3*q = 2*q - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3192\/798*(-2)\/(-56)*6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474487 - 949515 + c + 474986.\nAnswer: c - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/945 and 157\/1350?\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**30*m*m*m**(-1\/3) assuming m is positive.\nAnswer: m**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*v + 2)*(-1 + 3 + 0) + 3*v + 2*v - 3*v - 3*v + 0*v + v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 806, 828, 872, 944, 1050, 1196?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26515327 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4 - 8*u + 9 - 1 - 2*u + u**2. Let n be j(9). Solve -d - n = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136086 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/390 and -76\/585?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -71. Solve -4 = q - 3, -4*q - i = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -26092636.\nAnswer: 3\/26092636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aanaaaaananaaaaaan. What is prob of sequence nn?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38109 by -12943.\nAnswer: 38109\/12943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -10. Suppose -42 = -2*w + 3*s, -2*w - m*s + 16 + 2 = 0. Calculate the highest common factor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*r + 23, -5*r + 4*r + 5*y = 10. Let k(o) = -10*o - 42. Calculate k(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/132627 and 31\/11.\nAnswer: 132627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23261 + 1?\nAnswer: 23262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 708269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 13*t**2 + 7*t + 8. Determine s(-12).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5))**(-38))**23 assuming i is positive.\nAnswer: i**(-1748\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8702885 to 4 dps.\nAnswer: -0.8703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/15)\/(2\/(-10)) + -1. Sort -0.2, 1, j, -2\/7 in decreasing order.\nAnswer: 1, -0.2, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**3\/2 + 15275*t**2 - 7687485*t\/2 - 3859020 = 0?\nAnswer: -1, 264, 5847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561344359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*u**5 + 85*u**4 - 45*u**3 - 25*u**2 = 0. Calculate u.\nAnswer: -1\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*j**3 + 22*j**2 - 8*j - 24 = 0. What is j?\nAnswer: -2, -6\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/13 + 40*t**2\/13 + 86*t\/13 + 44\/13.\nAnswer: -2*(t - 22)*(t + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1306, -5381, -12172, -21679, -33902, -48841, -66496?\n\"Answer: -1358*w**2 - w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -21*i. Let m(y) = -17*y - 4. Let z(t) = 295*t + 70. Let g(s) = -35*m(s) - 2*z(s). Determine g(p(x)).\nAnswer: -105*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (0 - 0) - 1036\/(-14). Suppose -a = -4*c + 5*p, 2*c + 7*p - 32 = 5*p. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 18*k - 4. Let n be j(15). Let x = n - 35. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 14 = -5*x, 17*x - 15*x - 2*g + 4 = 0. Suppose 4 = -x*p + 4*z, 0 = -4*p + 5*z + 8 - 10. Factor 3*i + 1\/2*i**4 + 0 - 7\/2*i**p + 0*i**3.\nAnswer: i*(i - 2)*(i - 1)*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a - 17*a - 616 + 844.\nAnswer: 2*a + 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, 2, 1 in increasing order.\nAnswer: -1, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -85*r**2. Let w(i) = -6423*i. Calculate t(w(c)).\nAnswer: -3506668965*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 4451\/36. Calculate the common denominator of l and 133\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*k = -8, 4*d + 0*k = k + 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/12 + o**3\/6 + o**2\/2 - 3*o. Let d(i) = -i**2 + 2*i. Determine -2*a(g) + d(g).\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-134 + 133)\/(5\/(-3))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5 + 3 - 3 + z**2 - 1 - 4*z. Let w be 293 - 286 - (1 + 1). Give j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 238\/95 + -524\/285. Let -p*u**2 + 0 - 1\/9*u = 0. What is u?\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 9 (b) -189 (c) -2 (d) 2\/7 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**2\/2 - u + 11766. Let q(x) = -7*x + 6. Calculate 3*c(j) + q(j).\nAnswer: -4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:12 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**5*m**3 - 85*a**3*m**3 - 2*a*m**3 + 2065*m**3 wrt a?\nAnswer: 120*a**3*m**3 - 510*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.048 - 0.08. Let b = 1 - 0.94. Let q = x + b. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 + v. Suppose c = q, 2*q + 9 = 5*q. Suppose -o - 13 = -4*p - c, -p = -2*o + 1. Let l(z) = 7*z - 2*z**2 + p - 5*z - 4. Give -l(r) + 2*y(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(66)\/(sqrt(6)*-1)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 + 4*u**2 - 6*u + 15. Let t(d) = 7*d**3 + 7*d**2 - 13*d + 29. Let y(s) = -5*n(s) + 2*t(s). Let l be y(-7). Sort 0, -3, l in ascending order.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 - (-2 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 20*r - 33. Calculate s(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8*(-350)\/(-5). Let h = 18 - g. Let n = 72 + -72.2. What is the nearest to n in 2\/11, -3, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0 + 1\/15*l**3 - 2*l + 0*l**2 - 1\/50*l**5 + 0*l**4. Factor v(d).\nAnswer: -2*d*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 72 = 2*t + 3*t, 0 = -5*o - 4*t + 120. Let z = o + -13. Let f = 61 + -17. What is the greatest common divisor of f and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1727134 and -0.4.\nAnswer: -690853.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452200 to the power of 1\/2, to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189 - -252. Let g = y + -61. Calculate the least common multiple of g and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1770 and 47\/4665130?\nAnswer: 13995390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllzlll. Give prob of sequence zzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - h**3 + 4*h**2 + 0*h**3 - 5 in the form r*h**3 + t*h**2 + k + y*h and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36855757 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.20865 + 2.79135. Let m = 5.1 + -5. Which is the second biggest value? (a) 0 (b) -2\/3 (c) m (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from ooooooqo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*j - 5*n, -3*j + 49 = 3*n + 2*n. Let z = -36 + 36. Suppose -3*f + 47 = 5*k, k + 1 = -z*k + 2*f. What is the least common multiple of k and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/4 + 3*g + 1. What is the remainder when r(3) is divided by ((2 - -4) + -22)*(-1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -38629\nAnswer: -7725.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 16*o + 33. Determine u(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -118511 and 2234991?\nAnswer: 2353502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/25686 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 16.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/60 + d**4\/8 + 4*d**3\/3 - 243*d**2. Give f(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10026 and -127\/66?\nAnswer: 110286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -758762000 rounded to the nearest 1000000?\nAnswer: -759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 - 511106*r\/3 - 1022204\/3.\nAnswer: -2*(r + 2)*(r + 255551)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + l + 19, 4*w + 4*l = 61 - 9. Suppose -8*x - 16 = -w. Which is the second smallest value? (a) x (b) -5 (c) -3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = 2*j. Suppose -5*w - j*z = -50 + 14, -w = z - 9. Suppose 3*x - 93 = -w. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 898 - 15*y**2 - 7*y - 890 + y - 2*y**3. Let s be h(-7). Solve -3 = -2*t - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moom when four letters picked without replacement from mommmmmmmmmomom?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 + -1*(3 - 0). Let m = 45 - n. What is the second derivative of j + 2*j + m*j**5 - 35*j**5 wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 228 - 532 = 0. List the prime factors of p.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 7 = -3*b - 9*y, -4*b - 2*y + 18 = 0. Solve b*m - 5*s + 10 = 0, -2*s + 4 = -5*m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 946*n - 80362. Let m be w(111). Factor -3\/5*h**m + 27 - 132\/5*h.\nAnswer: -3*(h - 1)*(h + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -91.061546 and -44.6.\nAnswer: -135.661546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 - 60 - 20) + 1 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030713 rounded to 5 decimal places?\nAnswer: 0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by 27?\nAnswer: -208\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2912, 5810, 8708?\nAnswer: 11606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, q: 1, t: 2, p: 2}. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:02 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - v + 0*v - 2*v)*(9 - 4 + 2)*((-2 - 1 + 1)*(89 - 89 + 47*v) - 4*v + 7*v + 13*v).\nAnswer: 1638*v**2 - 546*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7075?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 218, -3, -6518 in decreasing order.\nAnswer: 218, -3, -6518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x + 7. Let d(v) be the first derivative of v**3\/6 + v**2\/2 + 6*v + 5. Let y(n) be the first derivative of d(n). What is -l(p) + 6*y(p)?\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4821879 to the power of 1\/2, to the nearest integer?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287179602.\nAnswer: 2, 3, 1621, 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 26*r - 22*r + 8 = 0, 2*b - 5*r - 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.1 + -9. Let g be -1 + (14\/(-10) - -3). What is the closest to 1 in q, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 - 218. Let n(s) = s**3 + 46*s**2 + s + 51. Let q be n(f). Solve 0*t + q*z - 20 = t, -z + 13 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*s**2 - 11*s**5 - 32*s**2 + (-3 + 4 - 3)*(-s**3 + s**5 + s**3).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t*y**2 + 14*t*y + 9438*y**2 + y - 110 wrt y.\nAnswer: 2*t + 18876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -278, -716, -1194, -1712, -2270, -2868, -3506?\n\"Answer: -20*x**2 - 378*x + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, j: 2}. Give prob of sequence zjz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -20767341.\nAnswer: 8306936.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51884, -206629, -464538, -825611, -1289848?\nAnswer: -1857249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1.5. Let t = -3962 - -3963. Which is the nearest to t? (a) 2 (b) -1\/8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + u + 59. Is w(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -15\/806 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23267 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*t - 229*t - 99*t - 93*t - 263*t.\nAnswer: -995*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*s = -47, 46*q - 340 = 42*q + s. Calculate the greatest common divisor of q and 41238.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35972 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191.77 + -191. Let n = j - 0.36. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9016 - 9015. What is the nearest to g in 2, 1\/77, -5?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3*c = -5*w + 9, -2*c + 18 = 2*w. Let s be (8 - (2 - -3))*w\/3. Solve 0 = -s*o + 3*m + 29, 0*m = -5*m - 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*a*o**2 - 2162*a*o + 9*a + 150720*o**2 - 3*o - 12 wrt o.\nAnswer: -28*a + 301440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -1 (c) 107 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3 - 2. Let u be 42\/10 - (-4)\/(-20). Suppose -b - 3*z = 10, b = 4*b - 5*z - 26. Solve -v - u*v - 7 = -4*s, -p*s = -b*v - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 s when three letters picked without replacement from tqsutqstvtutqtu?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.4 + -27. Let i = u - -0.6. Let z = -0.4 - -3.4. Which is the second smallest value? (a) z (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365.81 times 349.9\nAnswer: -127996.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2576*n**2*q + 4*q + 312 wrt n.\nAnswer: 5152*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*h + h = -16, 5*w - 22 = -4*h. Let n(r) = -1 - w*r + 0*r + 2*r - 4*r**2. Let x = -4 + 3. What is n(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-58)\/18 + (-8)\/(-36). Let d be 4*((-3)\/(-10))\/n. Is -1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1. Suppose 0 = -5*u + 4 + 1. Let x(r) = r**2 + 2*r + 3. Let p be x(-3). Let q(k) = -2*k + 6. Let b(l) = p*z(l) + u*q(l). Calculate b(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 3 (c) -0.145 (d) -0.4 (e) -4\/3 (f) -2275 (g) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.697 minus 21.93334?\nAnswer: -22.63034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49\/54 - -2\/27. Let r be (8\/(-10))\/(38\/285) - -4. Is h less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 6, -0.5, -2\/15, -4, -14 in decreasing order.\nAnswer: 6, -2\/27, -2\/15, -0.5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 0.13.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5 + 179845*g**4 + 1627341840*g**3 + 182218113540*g**2 + 5556633721920*g + 23431021113600 = 0.\nAnswer: -17928, -54, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5043 - -5045. Solve 36 = r*x + 24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1100 and 35860.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*z - 22852 = 1076441. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 + 5*t**2 - 5*t**2 + 5*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -45498, 2, 1698?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 12*d - 24 = -3*f, -5*d + 31 = 4*f. Suppose 6*k + 155 = 11*k. Suppose -76 + k = -d*g. Calculate the remainder when 40 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1137*n - 11375. What is h(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and -424*65\/(-90) + (-14)\/63?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 5:37 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 241, 1840, 6191, 14674, 28669?\n\"Answer: 230*w**3 - 4*w**2 + w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 324*p + 321.\nAnswer: 3*(p - 107)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101004564893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Suppose -2*c + 0*c - 4*f + 20 = i, -3*f + 30 = 4*c. Let y(h) = -h**3 + 7*h**2 - 5*h + 9. Is 15 a factor of y(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 2*b**2 - 3 - b**2 + 4*b**3 + 5*b. Let k(r) = -3*r**3 + 3*r**2 - 2*r + 2. Let v = 69 + -64. Let u be (1 - 64\/40)*v. Calculate u*k(t) - 2*n(t).\nAnswer: t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 10 - 22. Let v = -1 + u. Suppose 5*q - 37 = 3*g, 0*g - 3*g - 32 = -4*q. Solve 5*w - 6*w = 5*y + v, -22 = q*y - 4*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164 and 11?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**2 - 3*l - 2. Let x be b(-4). Let o = 46 - -43. Let n = -67 + o. Calculate the highest common divisor of x and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 119 + 51 = 5*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2 - 212*l + 34144 = 0.\nAnswer: -194, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2. Suppose 0 = -4*w - w + 25. Let u(b) = 2*b**2. Let o(i) = w*u(i) + 3*d(i). Let r(t) = -4*t**2. Give r(o(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.484712?\nAnswer: -2.42356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 32 + 3 = 0. Suppose l - 22 = y + 3, -4*l = -5*y - 99. What is the remainder when l is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 99. Let b(a) be the first derivative of 2*a**f - 2\/3*a**3 - 2*a + 2. Determine z, given that b(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.08 - -0.42. Let o = n + -3. Let j = o + -5.7. What is the closest to j in 0.1, -2, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18447 and 127413?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10*z = 7*z - 27, 3*z = p - 15. Solve -k + 2*c - 3 = -2*k, 2*c + 17 = p*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 561*z**2 + 1. Let a(f) = 8*f**2. Calculate a(i(b)).\nAnswer: 2517768*b**4 + 8976*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*((-3 + 3 - h)*(4 - 2 + 0) + 3 + h - 3 + h - 10*h + h).\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4329 and 184290?\nAnswer: 265930470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -32, -2\/3, 3, 0, 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Let o(b) be the first derivative of 1\/3*b**3 - 6 - 3\/2*b**2 + 2*b. What is o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 13*o + 5. Let n be p(-6). What is the highest common factor of n and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 84 = 17*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -18, 3.9?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - (-5 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p**6*r - 8*p**6 - 5*p**2*r - p**2 + 37*p*r wrt p?\nAnswer: -1080*p**3*r - 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -702.8 - -703. Let a = 0.14 - 0.1. Let p = -3.04 + a. Put p, i, -0.5, 0.5 in increasing order.\nAnswer: p, -0.5, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -11 + 2 + 30 + -39.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/11*(-20)\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 300*q + 295.\nAnswer: 5*(q + 1)*(q + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - -10.7. Let i = -6 + d. Let z = -3.62 + 3.22. Which is the nearest to -0.1? (a) i (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 8:39 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300.282578ms in weeks?\nAnswer: 0.000002149938125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 - 2*j**2 - 3*j**2)*(-5 + 2 + 1)*(0 + 2 + 0) + j**2 - 6*j**2 + 3*j**2 - 2*j.\nAnswer: -6*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2212, 8889, 20014, 35581, 55584, 80017, 108874?\n\"Answer: -l**3 + 2230*l**2 - 6*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/63204 and -13\/1374.\nAnswer: 63204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6855 and 7536387?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*y = 10, 3*j - 11*y = -12*y + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203818 and 66594.\nAnswer: 6725994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2)*582\/3. Let k = 778 - v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 129 = -60. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206851 to the power of 1\/2, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85*(-9)\/((-1080)\/(-24)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1063, -3511, -7333, -12529, -19099, -27043?\n\"Answer: -687*m**2 - 387*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**2\/2 + 95*s - 6. Let w be a(0). Suppose -2*d = 10, w = b - 4*d - d. Does 32 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.007 (b) -0.5 (c) -0.3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from llllhzlheleheh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*m + 1455, 3*m + 1149 = 4*i + 2*m. Suppose -u + 2*t = -2*u + 26, -5*u + 195 = -3*t. What is the highest common divisor of i and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.9 - -1.9. Let r = -9 - p. Let x = 3.414 - -1.586. Is r > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 443 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**5))\/d*d)**(5\/7)\/(d\/(d\/d**(1\/10))*d\/((d**(-23)*d)\/d)) assuming d is positive.\nAnswer: d**(-1937\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5129384 + 0.3.\nAnswer: -5129383.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 10:06 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50072*v**2 + 779*v + 7540511?\nAnswer: -100144*v + 779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.9 - -38.5. Which is the nearest to 3\/8? (a) 4 (b) 2\/5 (c) j (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7676 + 1?\nAnswer: -7675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -84 - 64\/135*m**6 - 11\/36*m**4 + 1\/27*m**3 - 2*m**2 + 16\/15*m**5 + 0*m. Factor f(b).\nAnswer: -2*(b - 1)*(16*b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 2*d**2 + 2616*d + 2. Let t be y(0). Factor 1088\/3*u + 1\/3*u**3 + 1024\/3 + 65\/3*u**t.\nAnswer: (u + 1)*(u + 32)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, w: 1, f: 7, h: 2, j: 5}. Give prob of picking 2 o, 1 h, and 1 j.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100000110 (base 2) in base 16?\nAnswer: 2d06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5106425 * -0.077.\nAnswer: -393194.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 4\/3, -1.3, -1.8, 3637 in decreasing order.\nAnswer: 3637, 4\/3, -1\/7, -1.3, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -8\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10205, -20416, -30627, -40838, -51049?\nAnswer: -61260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + g**2)*(-53*g + 96*g - 26*g).\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 70*n**2 + 86*n. Let z(o) = o**3 + 23*o**2 + 28*o. Let p(v) = -6*j(v) + 19*z(v). What is p(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -22, -80, -182, -340, -566, -872?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 317472\/432 + 3*(-5)\/(-135) and 200.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 4*o. Let q(a) = a + 1. Let z be q(3). Let n be m(z). Solve 2*d + 4*b + 22 = n, 2*d = -3*d + 5*b - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2424605 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)\/(((n**(-5\/4)\/n)\/n*n)\/n))**49\/(n**(-4)*n\/(n**(2\/15)\/n)*(n\/n**(-1\/3))**(-4)) assuming n is positive.\nAnswer: n**(4123\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 - 16*m - 93. Let c be h(-4). Let k(o) be the second derivative of -2\/3*o**c + 8*o**2 + 0 - 4\/3*o**4 - 21*o + 1\/5*o**5. Factor k(v).\nAnswer: 4*(v - 4)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 353\/28 - -1\/7. Calculate the common denominator of 11\/7 + 2\/(-4) and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 36 = -26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/100*(-1)\/1*3. Let p be ((-20)\/15)\/((-4)\/(-6)). What is the nearest to -0.1 in z, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*((-1530)\/216 + 7).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, k: 4}. Give prob of sequence dkdk.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108757691*w - 54378846*w - 54378866*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510163.\nAnswer: 23, 41, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 7 - (-13 - -1) - (159 - 173).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*14\/210*2*-18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/(-5) - ((-1023)\/155 - -5). Put i, -53, 31 in ascending order.\nAnswer: -53, i, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 677.7 + -688.7. What is the closest to y in 3\/13, -0.4, -1, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 - 69\/(-21). Suppose -r = c + 7, 0 = r + c + 4*c + p. Let v be 2*(-12)\/r - -1. Let j(u) = u - 3. Give j(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l - 1. Let u be y(-2). Let p be 6\/u*-1*-1. What is the third biggest value in p, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377765 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001189063644 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 0 + 15\/2*k**5 + 18*k**4 + 0*k**2 + 6*k**3.\nAnswer: 3*k**3*(k + 2)*(5*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2858*k + 1430*k + 1423*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2 + 6*i + 6. Let y(d) = 14*d**2 + 13*d + 13. Let q(u) = 13*s(u) - 6*y(u). Let t(z) = -4*z**2. Give t(q(x)).\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/40 - 128*i**5\/15 - 325*i**3 + 27*i**2 + 31*i. What is the first derivative of p(n) wrt n?\nAnswer: 9*n**2 - 1024*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*n**2 - 546*n**2 + 97*n**2 - 573*n**2.\nAnswer: -269*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -80740 divided by -7340?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) 2 (c) 1.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*h - 2*y, -h - 27 = -5*y - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301001321 - -101?\nAnswer: 301002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -7*s - 4*z, -3*z = 5*s - 17. Solve s = 2*q + 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z + 1. Let d(m) = -m**3 - 3*m**2 + 3*m - 28. Calculate d(r) + 3*j(r).\nAnswer: -r**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -1 - 5. Let y be 39\/8 - (5 + -2). Let c = 59\/40 - y. What is the biggest value in c, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 51ffc7?\nAnswer: 51ffcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from {u: 2, t: 1, a: 1, d: 3, r: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -13. Let a = 511\/8 + -64. Sort -5, f, a.\nAnswer: -5, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p**2 + 0*p)*(-578 + 377*p + 578).\nAnswer: 754*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1530256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 1 - 2)*(30*j + 41*j - 12*j)*(-1 - 5 + 0 + 1 + 5 - 3 + (0 - 4 + 6)*(5 - 4 + 1)).\nAnswer: 177*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r**9\/r*r))\/r)\/((r*r**0\/r*r)\/r))**32*((r**(-4))**46)**(-36) assuming r is positive.\nAnswer: r**6368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -506297\nAnswer: -506301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 450*k**2 - 450*k**2 - 12*k**3 - 12*k**3 - 4*k - 1 to s + l*k + g*k**3 + a*k**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 780 + -710. Calculate the lowest common multiple of i and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -32 - (9 - (1 - 0)) - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1)*(10 + 1). Suppose -3*t + i = -n, 5*t - 30 + 0 = 4*i. Suppose 3*q = 3 - 0. Which is the nearest to q? (a) t (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q - 5 = 5*b, -3*q + 2*b = -4. Suppose -q*d + 14 = -20. Suppose p - 3*m + 12 = 3*p, -m = 5*p - d. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2012, -8700, -20062, -36098, -56808, -82192?\nAnswer: -112250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*u + 149 = 2*u, -3*u - 429 = -3*s. Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -829999, -3319976, -7469941, -13279894, -20749835, -29879764, -40669681?\n\"Answer: -829994*z**2 + 5*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13023*v + 3763*v - 2 - 1949*v + 2 - 11970*v**5 wrt v?\nAnswer: -239400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*w - 3*w + 20 = 0, -4*w = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1 - 1)*0. Let d be (59 - c) + -2 + -2. Let b = -39 + d. What is the remainder when 47 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-5 + 20)) + 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 13472 - 13328 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34.6 at most 11408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3047*y**3 + 4*y + 4. Let o(f) = 23132829*f**3 - 30370*f - 30370. Determine -8*o(c) - 60740*z(c).\nAnswer: 12148*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 4:02 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 475*s + 478*s + 61 = 0, -3*s = -5*l - 79 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 539 - 536. Which is the closest to 0.3? (a) d (b) -4 (c) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4762875 divided by 41\nAnswer: -4762875\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*f + 1040 - 2812 - 2869 = -671 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*g + 114*g + 27 = 2*x, -4*x + 3*g = -53. Let h be (-399)\/x*12\/(-27). Let c = -6 + 18. Is h at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llhh when four letters picked without replacement from {h: 12, l: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -797087 and 0.3.\nAnswer: -239126.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 66*h - 14. Let u(i) = -i**2 - 24*i + 22. Let s be u(1). Let n(f) = -13*f + 3. Calculate s*r(q) - 14*n(q).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 4. Let f(o) = 2*o**2 - 5. Let s(h) = -4*f(h) - 5*r(h). Let b(m) = 13*m + 20*m + 18*m - 76*m. Calculate b(s(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -29*a**3 - 81*a**2 + 5*a - 14. Let d be g(-5). What is the highest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 1 - 1)*(-219 - 190 - 81) + 530 - 530 + 28*w.\nAnswer: -462*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*d = -4, 2*k - 4 = 6*k - 2*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*l + 5 - 15*l - 34*l)*(4 - 1 - 9).\nAnswer: 96*l - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 23*f - 21*f. Suppose -f*h = -14*h - 9. Sort h, -4, 0 in increasing order.\nAnswer: -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, 0 in increasing order.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d - 10. Suppose 2*u - d*u = -81. Let b = -8 + u. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -109*x + 1. Let l(v) = 4*v**2 + 4*v**2 - 3*v**2 + 3*v**2 - 6*v**2. Determine w(l(y)).\nAnswer: -218*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.52368 nanometers in meters?\nAnswer: 0.00000004152368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.16819816406 + 1879.\nAnswer: 1875.83180183594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/((-7)\/3) + -9. Let t be (-8)\/a*(13 + -10). What is the third derivative of 3*r**2 - 6*r**2 - t*r**3 - 4*r**2 - 4*r**2 wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880\/44*60\/(-48)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 4 - -6 - (10 + -6 + -3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 + 8*j + 51. Let x(l) = 3*l**3 + 5*l + 34. Let k(p) = -8*x(p) + 5*y(p). Find the first derivative of k(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115.24 + 115.34. What is the closest to -1\/5 in o, -8.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/(-2))\/(60\/(-255)) and -91\/34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvprrvvvmmmrrmvvvvv. Give prob of picking 2 v and 2 r.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3\/2 - 15*p**2 + 144*p + 545. Determine d so that f(d) = 0.\nAnswer: 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 12*l + 2822\/11.\nAnswer: -2*(l - 17)*(l + 83)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from {a: 2, z: 6, s: 2, m: 8, p: 1, h: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*r + 45*r + 24 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 48 = 6*o. Let h = o - 7. Suppose -4*d + 2*q - 40 = -6*d, 3*d + h*q - 70 = 0. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2366\/6370 - -3*(-4)\/21?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*3 - 204\/16. Let d = h + 265\/28. Let l = -2\/15 - -4\/5. Which is the third biggest value? (a) d (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2823, 2994, 3153, 3294, 3411, 3498, 3549?\n\"Answer: -x**3 + 178*x + 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3.1993.\nAnswer: -11.1993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5\/13, 5, 1?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1185 and 516265.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 883 - 883.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*u - 31*u + 2*u**2 - 6*u**4 + 2 - 14*u to p + l*u + y*u**4 + m*u**2 + t*u**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = 3*a, 0 = -2*t - 3*a - 2. Solve 0*z = t*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 31*h**4\/3 + 32*h**3\/3 + h**2\/3 = 0. What is h?\nAnswer: -1, -1\/31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -6)*(-20)\/25. Let t(a) be the second derivative of -2*a + 0*a**2 + 0 - 1\/6*a**x - 1\/6*a**3. Find the second derivative of t(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2851*b + 2868*b - 17 = 0. Solve -3*n = -3*y - 9, -5 = -2*n + y + b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22120210 (base 3) to base 9\nAnswer: 8523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 20 + 3*s - 21 in the form x + n*s and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmwmmmm. What is prob of picking 4 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(-1)*(-462)\/(-11396)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -10. Suppose i - r - r - 10 = 0, 2*i - 20 = -3*r. Let a(p) = -2 + p**3 - 9*p - 5*p**2 - 6*p + i*p. Give a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/103140 and 11\/5400?\nAnswer: 1031400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 8. Let i be (12\/(-8))\/(o\/(-8)). Suppose -2 = -2*p + 2*j, 9*p = 4*p + i*j + 20. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7209157 - -1050.\nAnswer: -7208107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4 = 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803159265?\nAnswer: 3, 5, 47, 24239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-64)\/(-24) + 5\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 - -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from ynyyyuuuuu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-4))*l\/((l\/((l*l\/(l\/(l**(-12\/7)\/l)))\/l))\/l))**(-1\/39) assuming l is positive.\nAnswer: l**(-16\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10130112333 (base 4) to base 11\nAnswer: 7260a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2026 - 1135?\nAnswer: -3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:02 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 50. Let s(k) = 5 + 1 + 2*k - y. Let g be s(2). Solve 13 = -g*z + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26\/3 (b) -0.13 (c) 4 (d) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2. Let q(a) = 103*a - 386*a - 253*a - 36*a. Determine q(t(u)).\nAnswer: -2860*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from nynn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1915 times 0.07\nAnswer: 134.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-12)*-2*(-2862)\/(-2226)*4\/(-42)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + -1)*5*-6 - (3 + sqrt(612) + 1)*3)**2.\nAnswer: -7128*sqrt(17) + 666792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4820 times 0.126833?\nAnswer: -611.33506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**3\/3 + 3*v**2\/2 - 3*v + 55. Suppose 17 = 4*r - 3. Suppose 15 = -r*t - 4*n, -n = t - 0*n + 3. Give j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(1 - (-80)\/3). Let h = 519 + -295. Let g = a + h. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = -0*c. Suppose -4*x + 4 = 2*f, -c*x + 0*x = -f - 10. Let j be (-2)\/(-5) - x\/5. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 220*t - 5700. What is u(29)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*((2 + sqrt(108) + -2)**2 - (5 + sqrt(108) + 0 + sqrt(108)) - (3*(sqrt(108) + -1)*2)**2).\nAnswer: -61136 + 6720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 7. Let z(q) = -17*q + 1 + 5 + 1 - 3. Is z(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 3, 0.196, -1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 349462 and -3.\nAnswer: 349459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 + 2*w - 5. Let r(v) = 2*v + 12. Let l be r(-8). Let k be y(l). What is the smallest common multiple of (5 - k)*18\/4 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -12.96. Let r = l - -1.96. Which is smaller: -0.3 or r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f**2 - 13*f + 15. Let u(l) = -4*l**2 + 3*l - 4. Suppose -11*y + 9*y = 2*s + 2, 0 = 2*y + 6. What is s*w(p) + 9*u(p)?\nAnswer: -2*p**2 + p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 8*s - 31. Let l be k(9). Let y = -48 - l. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 37 - 7. Suppose -7 = 5*n - 27. Let m = v - n. Put m, 3, -1, -3 in increasing order.\nAnswer: -3, m, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**2 + 27*c**2 - 1 - 1572101*c**3.\nAnswer: -1572101*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 5*x - 1\/4*x**4 - 25 - 2\/3*x**3 + 3\/2*x**2. Calculate the remainder when 8 is divided by u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 267 (c) 8\/13 (d) 2\/3 (e) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -364 + 368. Let z be (-76)\/(-12) + (-3)\/9 + -2. Suppose 2*x = 3*t, -z*x = -2*x. Solve -4*m - 3*d + 4*d + 17 = t, b*m = 3*d + 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6958965 a multiple of 1651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10204374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 = -4*b + 41, 5*b + 3*a = 21. Let h(q) = 3*q - 19. What is h(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(12) - sqrt(24)\/(sqrt(2) + sqrt(8)\/sqrt(4)) - (sqrt(180)\/sqrt(3))\/sqrt(5))\/(-1*(sqrt(96) + sqrt(96)*2*5)).\nAnswer: -sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 1318403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 - 51. Suppose -8*u + 4 = z. Which is the closest to -3? (a) u (b) 0 (c) -0.3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-4)\/(-16) - 154133\/(-825). Let h = -2040\/11 + y. Find the common denominator of h and 12.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 - 181 + 3*d - 38*d**3 + 153*d**3 + 181 to r*d + b*d**2 + x*d**3 + l and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2793, 4567, 7525, 11667, 16993?\nAnswer: 23503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645696 = -229*v + 85*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.355+-11\nAnswer: -10.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-20)*g**(-2\/27))**30 assuming g is positive.\nAnswer: g**(-4880\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:16 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k*k*k**(-5\/3))\/(k*k**(-1\/8)*k)**(1\/2) assuming k is positive.\nAnswer: k**(-461\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 1) + (-7 - -3) + 8\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 + 787*u**4 - 3180*u**4 - 7*u**2 + u**2 + (2*u - 5*u + 2*u)*(u**3 + 0*u**3 + 4*u**3) to j*u**2 + r*u**3 + x + i*u + m*u**4 and give m.\nAnswer: -2398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -0.12. Let i = 0.5 + v. Which is the third biggest value? (a) i (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -23*n - 89. Calculate k(-19).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -367*c**4 - c**2 + 754?\nAnswer: -1468*c**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + t**3 - 2*t**3 + (-17 + 6 - 4)*(-t**3 + 5*t**3 - t**3) - 2*t + 2*t - t**3 + (1 - 1 - t**2)*(0 + 2*t + 0).\nAnswer: -49*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - -11211200?\nAnswer: 11211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 6*x - 8123. List the prime factors of x.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**3 + 4*f**2 + 5*f + 1. Let v be x(-2). Calculate the highest common factor of v and 875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/72 and -43\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248691264 and 23744?\nAnswer: 3392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -772\/9 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4351\/24 - 572\/3. Find the common denominator of -105\/68 and s.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*k. Let t be 52\/(-14) - (-18)\/(-63). Let u be (t + k)\/((-2)\/(-20)). Is u > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01187 + -20.01187. Put 7\/4, p, 0 in increasing order.\nAnswer: p, 0, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7000 and 3150?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 3:25 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1124 + -2?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -303?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42400 (base 5) in base 15?\nAnswer: ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2 - 41921*q - 10480 = 0?\nAnswer: -10480, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 47417 - x**2 - 47417. Let t(c) be the third derivative of -4*c**4\/3 + c**2. What is u(t(g))?\nAnswer: -1024*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 31. Solve 0 = 5*g - 3*g + t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9591, 9590, 9589, 9588, 9587?\nAnswer: 9586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -6*s**5\/5 - 27*s**4\/4 - 283*s**3\/3 - 186. Find the third derivative of g(y) wrt y.\nAnswer: -144*y - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(95) + 2*(sqrt(95) - (sqrt(95)*1 + sqrt(95) + sqrt(95) + sqrt(95))))*4)\/(2*sqrt(720) - (sqrt(5) - sqrt(720)*-2)).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 224, 591, 1102, 1757?\n\"Answer: 72*d**2 + 151*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/16)*b**7\/b assuming b is positive.\nAnswer: b**(97\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277664642 or -2?\nAnswer: 277664642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6436)\/16090*(15\/93)\/((-2)\/(-2))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1 (c) -1 (d) 142 (e) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32309681 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 51. Let z(o) = -30*o + 36*o - 5*o**2 - 12 + k*o**2 + 3. What is z(8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005309887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (0 - (-2 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(120) + sqrt(120) + sqrt(120) + sqrt(120)*1*5 + sqrt(120)))\/(sqrt(360)*1 - sqrt(10) - -6*sqrt(60)\/sqrt(6)).\nAnswer: -54*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2) + 9 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134538 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545 and 2507.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 - 20 = 0. Let s be (-6)\/t + (-94)\/18. Does 29 divide 29\/(-1)*(s - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1950*r + 715*r - 24*r**2 - 1154*r - 2 + 2.\nAnswer: -24*r**2 - 2389*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*z - 27, -21 = -5*f + z + 7. Let d be (1 + 2\/4)*2. Solve f*c + 10 = d*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j**2. Let v(p) = -3*p**2. Let c(s) = 9*v(s) + 2*z(s). Let a(x) = -x**2 + 9*x - 6. Let w be a(8). Let g(m) = -m + m - w*m - m. Give c(g(i)).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/9 + 2486*v\/9 - 48920\/9 = 0. Calculate v.\nAnswer: 20, 1223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-2))**(6\/5))**(-6))**(-15\/4))**13 assuming b is positive.\nAnswer: b**(-351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (((-24)\/(-10))\/(-1))\/(1152\/(-429120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 20\/6)*-6. Suppose 4*u + r = 40, 0 = 2*u - 0*u + 2*r - o. What is the lowest common multiple of 4 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1920) - (sqrt(1920) - -3*sqrt(1920))))\/((sqrt(6) + sqrt(30)\/(-3*sqrt(5)))*-6).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34109.\nAnswer: 23, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -3\/5*u**6 + 0*u - 4\/15*u**3 + 0*u**2 + 11\/10*u**4 - 24\/25*u**5 + 17. Suppose y(n) = 0. What is n?\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, j: 3}. What is prob of sequence jzzz?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -5)\/(2\/(-5)). Let w = -13 - -9. Let r be 12\/(-16) - (-1)\/w. What is the nearest to 1 in -2\/9, r, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - 3. Let n = y - 0.2. Which is the nearest to 1? (a) -1 (b) -3\/8 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25875909479*f**2 + 19 + 25875909486*f**2 - 19.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182 and 159172?\nAnswer: 1114204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 - 1. Let u be w(-1). Solve 2*v = u*j, 0 = v - 0*v + 3*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -8)\/(3\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5 - 5*l**4\/2 - 26*l**3\/3 + 27*l**2\/2 - 6*l + 2\/3 = 0.\nAnswer: -2, 1\/6, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mom when three letters picked without replacement from fmhfoooohomooohfooh?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749*f**2 - 513*f**2 + 93*f**2 - 28*f - 29*f + 56*f.\nAnswer: -1169*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 526901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 292*f**3 - 508*f + 2.\nAnswer: 1752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0, -8 in increasing order.\nAnswer: -8, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -653 - 2075?\nAnswer: -2718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g + 10. Let f be b(4). Let a(v) = 6*v + 4 - 3*v - f*v**2 + 57*v**2. Let h be a(3). Solve -2*c = -h + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5672 - -0.1328. Which is the nearest to q? (a) -1\/3 (b) -3 (c) -2\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 6*f**2 - 47*f + 31. Calculate i(11).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + 3 + 2)*(-286)\/(-3). Let i = n - -297. What is the highest common divisor of i and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 8:56 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**6 - 19456227*c**3*g + 2*c**2*g - 130810991*g wrt c.\nAnswer: -120*c**3 - 116737362*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10875 and 29098455.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7238*l - 13184*l + 29730 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let j = n + 4. Find the third derivative of -4*w**2 + 9*w**j - 3*w**2 - w**2 - 17*w**3 wrt w.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 33*j - 179. Let s be g(-30). Put -5, s, -3 in decreasing order.\nAnswer: -3, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 8*w**2 - 28*w - 91. Let g be c(-5). Put 52, 5, 3, g in descending order.\nAnswer: 52, 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-74)\/14 - -2) + 3. Let f be (-2)\/(-6) + 36\/(-180). What is the second biggest value in l, f, -50?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 111*w**3 + 1618*w**2 - 2079*w - 1458.\nAnswer: (w - 27)**2*(w - 2)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1619360 and -53\/4640?\nAnswer: 1619360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:18 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/120 - a**5\/30 + a**4\/24 - 2*a**3\/3 + 12*a**2. Calculate b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*y - 338 - 34*y + 339 to c + j*y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5 + sqrt(720) + (-1*sqrt(720) - sqrt(720))*2 + sqrt(720) + sqrt(720) + 1 + -3)*3)**2.\nAnswer: -1080*sqrt(5) + 6705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let o be 42\/9 + k\/6. Which is the third biggest value? (a) -0.4 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -691\nAnswer: -45\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(((-39)\/(-91))\/(1\/21*6))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1784e (base 16) to base 7.\nAnswer: 550600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-15) - 105\/21\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -1\/2*y**2 + 93 + 0*y. Let w(a) = -31*a. What is w(k(j))?\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1341, -1309, -1277, -1245, -1213, -1181?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Suppose 3*h - j = 10. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 7*f**2 + 7*f + 12. Let j be u(-8). Suppose 29*h - j*h - 18 = 0. Solve h + 0 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590703?\nAnswer: 3, 196901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 852368, 852239, 852110, 851981, 851852, 851723?\nAnswer: 851594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -529148.59 to the nearest 1000.\nAnswer: -529000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/3, -3, -32576 in increasing order.\nAnswer: -32576, -3, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*k + 8, 3*n - n - 9 = -3*k. Suppose 18 = 2*r - 5*p - 3, 3*r - k*p = 29. Calculate the highest common factor of 128 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d\/((d\/d**(4\/7))\/d))*d)\/d*d)\/d**(-4)*d*d*d**(-2\/3)*d\/d**2)\/((d\/(d*d**(-2)))**50)**(-1\/13) assuming d is positive.\nAnswer: d**(3673\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 44*r + 39339 = 0. Suppose r = 38*f - 35*f. What is the highest common factor of 47 and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/88 and -81\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2157868136 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.858585 millilitres?\nAnswer: 0.004858585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (44 - 36 - (12 - -2) - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14995533 is divided by 2102.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513274147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-25))\/((-32)\/96*2*30\/1100).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -270970 rounded to the nearest 1000?\nAnswer: -271000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129864 and 14441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 65 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2084 and 4324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 158 = -7*j. Solve 0 = a + 3*a - j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 22. Let x(g) = -g**3 + 7*g**2 - 3*g - 5. Give x(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100001101000 - -1100?\nAnswer: 1111100001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*g**2 - 4*g**2 - 2*g**2)*(-g**2 + 4 - 4).\nAnswer: g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 + 9*p**2 + 2 - 2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7768, 15179, 22216, 28879, 35168, 41083?\nAnswer: 46624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 0 (c) -55\/27 (d) -4 (e) -1.2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 1065490 (base 10) to base 5\nAnswer: 233043430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1636*x**3 + 3766*x**2 + 10177190*x wrt x.\nAnswer: 9816*x + 7532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -379*u + 198621. Give s(524).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2750944248?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1883, 3673, 5413, 7103, 8743, 10333?\n\"Answer: -25*v**2 + 1865*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 2*u**3 - 98*u - 8 - 15*u**2 + 40*u + 42*u.\nAnswer: -2*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + -28. Let m = 39 + k. Let u = m + 89. What is u rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15509 at least -14988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 8*q + 88. Does 14 divide m(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**3))**17 assuming x is positive.\nAnswer: x**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {x: 1, n: 1, y: 2, u: 2, f: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43526?\nAnswer: 2, 7, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 + 4*t**2 + 8*t**2 - 9*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -53. Let t = u - -10. Let g = 33 - t. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 515 + -347. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3465\/236, 1\/4 in descending order.\nAnswer: 3465\/236, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 times -9.61?\nAnswer: -7572.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292565.8ml in litres?\nAnswer: 292.5658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-104)\/1664*32\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:08 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x**3 + 14167596*x**2 - 18890152*x + 6296720 = 0. What is x?\nAnswer: -787090, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u - 2*h = -2, 2*h = u + 6. Let c be 6 + u + 0 + 12. Solve -2*v**3 - 5*v + c*v**2 + 5*v + 6*v**3 = 0 for v.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4165.0119 nanoseconds to hours.\nAnswer: 0.00000000115694775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38643 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 15. Let z = -1 - 2. What is the biggest value in z, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -6516.268\nAnswer: -6515.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5 - 2*q**3*v - 7990*q**3 + q**2*v + 83470*v wrt q.\nAnswer: 60*q**2 - 12*v - 47940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/270, 0.255, 5 in increasing order.\nAnswer: -7\/270, 0.255, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4969364*w - 2484885*w - 2484462*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.23 and -3.\nAnswer: -3.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248566 - -320.\nAnswer: 248886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 - -140. Let m(n) = 720*n**c + 3310*n**3 + 101*n**3 - 14*n + 12 + 7536*n**3. Let o be m(6). What is o rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 337028090 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8073888 to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.9337328 - 0.057.\nAnswer: -24.9907328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*x**6 + 33*x**6 + 6*x**2 - 22*x**2 wrt x?\nAnswer: 1800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*t = 10, -5*k + 32 - 4 = -3*t. Solve -4*z - 2*d = -8, z + k*d = -2*z + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -39*z**4\/4 + 24*z**3 - 27*z**2\/2 - 6*z + 7. Factor o(d).\nAnswer: -3*(d - 1)**2*(13*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:14 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771 - 165*q**2 - 169*q**2 - 170*q**2 + 507*q**2.\nAnswer: 3*q**2 + 771","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + ((-15)\/6*4\/(-10) - -1196794) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -108 + 2?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 1. Let u(q) = q. Let x be u(1). Let j be z(x). Suppose -t + j + 1 = 0. Solve 0 = t*a - 2*g + 4, 4*a + 18 = -4*g - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/48)\/(5\/2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11860 divided by 2965?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 53.\nAnswer: -36\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/23 (b) 753 (c) -0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**2 - 3*h - 2. Let k be 19\/76*(-56)\/(-2). Let r be -13 + 5 + k\/1. Calculate p(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2)\/w*w)**33 assuming w is positive.\nAnswer: w**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76719.48 grams to milligrams.\nAnswer: 76719480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818446 is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29038193 is divided by 1773.\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buupybubpb. What is prob of picking 2 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2478 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 0.096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240451 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2470.83mm to micrometers.\nAnswer: 2470830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 8. Let y = p - 15. Which is smaller: y or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -1112021100?\nAnswer: -1112012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, a: 2, p: 5, z: 5}. Give prob of sequence xax.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69146799 - 297.\nAnswer: 69146502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 32. What is the smallest common multiple of 3 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.94551 rounded to 1 decimal place?\nAnswer: 109.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4 + 5*a**3 - a**3 + 4*a**2 - 3*a**3 - 3*a - 2*a**2. Let c be o(-2). Suppose 2*v + v + 412 = 4*y, 2*y - c*v - 204 = 0. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 20*y + 171 - 197 = 0, 2*y = 4*f - 3*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38728367?\nAnswer: 59, 431, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -130503023.\nAnswer: -2610060.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1617 + -1163. Is 14 a factor of 87\/261*(-1 + v\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 15 = 3*i, 0*s + 3*s = 5*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6991a3 - -4?\nAnswer: -69919a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342*g*j**2 - 4*g - 252*j**2 - 3*j - 3854 wrt j?\nAnswer: 684*g - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -441 + 440. Which is the smallest value? (a) l (b) -31.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (1 + sqrt(1539))**2 + ((0 + sqrt(1539))*-5)**2 + (4*(sqrt(1539)*2 - sqrt(1539))*-1)**2).\nAnswer: -387834 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1475 - -1491. Which is the second biggest value? (a) -0.8 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 10*n**2 + 16 - 4.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182 + -2396 - (-80 - 1)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 3, 0.08, 0, 0.1, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 827233423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Calculate n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 7, -2.71 in decreasing order.\nAnswer: 15, 7, -1, -2.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l. Let r = -8 + 4. Let t(f) = f**2 + 5*f - 3. Let w be t(r). Let s be ((-5)\/(-2))\/(4\/8). Let d(j) = -3*j. Calculate s*q(x) + w*d(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164907038.\nAnswer: 2, 17, 4850207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*v - 187*v + 258 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 12*y**2 + 12*y. Let g(c) = c**2 - c. Let u be ((-24)\/10)\/(2\/(-10)). Let h be (-16 + 17)\/(7\/(-7)*-1). What is h*m(r) + u*g(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - m = 15, -3*z - 3*m = -5 - 10. Suppose -z*i + 0*i + 145 = 0. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 36*o + 108. Let t be u(-3). Let x(k) be the second derivative of t + 1\/12*k**4 + 0*k**2 - 1\/6*k**3 + 6*k. Determine x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 + 4*g - 4. Calculate x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) 50 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01585257046 rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) - 142\/(-6). Let j = -18 + b. Suppose 1 = -z + j. Solve -3*l - 21 = -3*a, z*l - 2*a - 3*a = -33 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 5. Let o(r) = 2*r + 4. Suppose -2*v = -4*d + 6, 18 = -v + 6*v + d. Let k(s) = v*t(s) + 7*o(s). Let p(b) = -2*b**2. Calculate p(k(g)).\nAnswer: -2*g**2 + 52*g - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 499\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -1\/12*t**4 + 187\/2*t**2 + 0 + 1\/20*t**5 - 14*t + 1\/3*t**3. Let y be w(0). What is the greatest common divisor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3583567881102+15\nAnswer: 3583567881117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -i - 5 + 23, 0 = -3*i - 4*a + 29. Let s = 101 + -102. Let n = i + s. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -28*r + 11. What are the prime factors of d(-4)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/50)\/(17\/(-3)))\/(162\/405)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 145 in -0.1, -5, 4, -52, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 7*k**2 + 0 + 0*k + 7\/6*k**3 - 1\/24*k**4. What is the tens digit of a(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 65*a**2 + 43*a + 166. What is r(-32)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57017 is divided by 18715.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(6\/13)*i*i**(1\/5) assuming i is positive.\nAnswer: i**(108\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -712*a**2 - 85*a**2 + 16829*a + 1554*a**2 + 1599*a**2 - 3 - 16825*a. Let j be (7\/21)\/((-2)\/(-6)). Is t(j) 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 2:40 PM and 8:25 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-9))\/10*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88109?\nAnswer: 7, 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + p + 618, -u - p = 2*p - 148. Calculate the greatest common divisor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h**2 + 4*h - 2. Let z be b(3). Let v be (z\/3)\/((-1)\/3). Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.43518ml in litres?\nAnswer: 0.00743518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19c - -1?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.20895 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 202? (a) -0.15 (b) -5\/3 (c) 152 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vivsoovoviuivovziivs.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 8*z = -56. Let q = -32 + z. Put q, 0, 3 in descending order.\nAnswer: 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 4*m + 2. Suppose 0 = 7*u - 22*u + 750. Suppose 0 = 46*l - 36*l - u. Let a(r) = r**2 + 2*r - 1. Give l*a(v) + 3*o(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 6*i - 2. Let o be d(7). Solve 5*h - 5 = 5*c, -o*h = 2*c - c + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 = 4*f + 2*q + 157, 5*f + 4*q - 600 = 0. What is the derivative of -286*k + 286*k + 25*k**4 + 43*k**4 - f wrt k?\nAnswer: 272*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(2\/13)*(a\/(a*a**(-5\/2)))**(10\/3) assuming a is positive.\nAnswer: a**(323\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + b. Let h be v(2). Let d(q) = 10*q**2 + 16*q - 18 + 7*q**2 - q**3 - 4*q**2. What is the lowest common multiple of d(h) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5750 divided by -11252?\nAnswer: -2875\/5626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -582*t + 5. Is x(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*((-128)\/(-4))\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 2:37 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 11*a**3\/3 + 7*a**2\/2 + 7*a + 2. Let t(u) = -5*u**2 - 3*u - 3. Let r(v) = 3*i(v) + 7*t(v). Let m(o) = 3*o**2. Give r(m(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*h + 2*u + 395, -4*u = -5*h + 502. Let v = 101 - h. Let w = 0.19 + 0.17. What is the smallest value in -3, w, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - g + 1. Let r(l) be the third derivative of -13*l**5\/12 - 13*l**4\/4 + 13*l**3 - 414*l**2. Calculate 78*p(d) - r(d).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(76) + (sqrt(76) - (sqrt(76) - -3*sqrt(76)))*6)\/(3*(1*sqrt(100) - sqrt(28)\/(sqrt(14)\/sqrt(2)))).\nAnswer: -13*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -3, 14, 35, 60, 89?\n\"Answer: 2*n**2 + 7*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69062 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o*o**(3\/7))**(27\/5) assuming o is positive.\nAnswer: o**(-486\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 73*c**2 - 898*c + 2197. Give i(-84).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4861132 (base 9) to base 13.\nAnswer: 714b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8*u - 4. Let g(l) = 3*l + 1. Let i(y) = -11*g(y) - 4*o(y). Calculate i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 + 1)*(-17)\/2. Let s be (9\/6)\/((-6)\/(-4))*p. Suppose 2 = 2*f, -n + 3*n - 5*f = s. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q - 22 + 0*q - q + 7*q**2 + 20 as d*q + u + h*q**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1422 - 2138. Are -3560 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2277829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9641928 weeks to minutes.\nAnswer: 9719.063424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 74*t - 501. What is b(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Suppose -4*c + 5*r = -c - 7, b*c - r = 0. Let h(d) = 2*d - 6. Let w be h(6). Let o(k) = -4*k - 7. Let z(m) = -m - 1. What is c*o(x) + w*z(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + 8 + -6 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1948.\nAnswer: -1951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 373859455 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792573?\nAnswer: 3, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p + 70*p = 50. Is 634*(2 + -7)\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 614 = 5*b + 543, -b = 8*a + 11 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110655?\nAnswer: 3, 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9373\/59679 + 7\/1047. What is the common denominator of h and 58\/475?\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -422\/47 + -2404\/329. Let k = r - -116\/7. Put k, 5, -3 in descending order.\nAnswer: 5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(((s**(2\/9)\/s*s*s)\/s)\/s)\/s*s)**(-1\/12) assuming s is positive.\nAnswer: s**(-1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 31. Let t(s) = 3*s + 46. Let f(h) = 5*t(h) + 7*x(h). Suppose 0 = -3*o - 16 + 1. Let m be f(o). Solve -z - 3*z = m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 44*q - 465. Give b(-13).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 94 = 2*y + 2*r, 0 = y + 4*r - 52. What is the remainder when 123 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10326, -10325, -10334, -10353?\n\"Answer: -5*v**2 + 16*v - 10337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 <= -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 - 2\/3*3. Let j = 62 + -36. Let u = j + a. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10571053 times -20\nAnswer: -211421060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 604, -3.73, -3\/14 in decreasing order.\nAnswer: 604, -3\/14, -3.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/2)\/((-12)\/(-368))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-6 - -1)) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005068 to 7 decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 252 = 5*g - 292, 4*f - g - 16 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1723, -7, -6, 1, 13.2 in descending order.\nAnswer: 13.2, 1, 0.1723, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**3 - 5*o**2 + 4*o + 1. Let t be x(-4). Suppose 0 = 5*y + 2*s + s - 10, 20 = -4*s. Suppose y*j = t + 124. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 93*h - 97*h. Let q(d) = 282 + d**2 + d**h - 282. Let n(p) = -60*p. Give q(n(w)).\nAnswer: 7200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 43*f**2 - f + 270. Calculate the least common multiple of 1485 and l(0).\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) - (-46)\/(-115). Suppose i*h = 4*h - p - 57, -p = -h + 12. Let s(x) = -8 + 2*x - x + h. What is s(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + 28298289.\nAnswer: 28298289.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/g)**7*(g\/(g**7*g*g))**(-3\/7) assuming g is positive.\nAnswer: g**(416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 1. Let m be p(5). Let y = 14 + m. Let j(c) = -c**2 - 7*c + 10. Let l be j(-7). Solve y*b - 5*v - 6 = l, 2*b - 8 = 2*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187\/(-34)*90\/(-495).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29840 and 1792?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 13 = 2*q - 9, 2*q - 54 = -3*r. Let g = -21 + q. Suppose g*z = 4*f - 2*z - 2, -4*z = -2*f - 14. Solve -2*y = -f*h + 1, 0*y - 5*h = 5*y - 35 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111435.976 rounded to the nearest ten?\nAnswer: -111440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-4)\/1) + (-2)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 672, 1027, 1068, 795, 208, -693, -1908?\n\"Answer: -157*j**2 + 826*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-3*sqrt(24)\/sqrt(12)))\/(sqrt(16)\/(sqrt(8)*2)*-6).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4*(5*11\/(-484))\/(1\/(-1))\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2343032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 8*j - 8. Let n be d(-5). Let t = -14 - n. Suppose 0 = -4*m - a - 4*a + 115, 2*m = -5*a + 65. Calculate the remainder when m is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21864900 to the nearest one hundred thousand.\nAnswer: -21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1273 and 30.\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 411*s - 410*s - 19, -4*h = 3*s - 81. Solve -z + h = 5*b, 2*b = -4*z - 0*z + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5 + 2*u - 4*u - 3*u + u**2. Is 11 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 844, 2531, 5818, 11239, 19328, 30619?\nAnswer: 45646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.1 + 1448.\nAnswer: 1457.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t = 2*q + 13061, -3*t - 7843 = -2*q. Let h = -1449 - t. Suppose h = 9*x + 192. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3 - 13. Suppose 8*j - v*j = 18. Solve 2*a + j = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.45512.\nAnswer: 3.64096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 22*f**5\/7 + 199*f**4\/7 + 53*f**3 + 50*f**2\/7 - 144*f\/7 = 0.\nAnswer: -72\/11, -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 2. Let y = r + 0.2. Which is the second biggest value? (a) -0.1 (b) y (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 48. Let b = l - -18. Let z = 9 - b. What is the greatest common divisor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2273499 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -145874*v**2 - v. Let s(m) = 24*m. Give x(s(n)).\nAnswer: -84023424*n**2 - 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = 5*m, -4*q - 3 = 2*m + 11. Let a be (-180)\/(-42) - q\/(-14). Solve -5 = a*w + w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 1764 = -10*z. Let v be 144\/(-48) + (1*z - 1). What is the highest common divisor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/5))\/g**(2\/29)*g**4\/(g\/g**(-2\/9))*g**(6\/11)\/(g**(2\/7)*g)*((g**(-2\/29)*g*g)\/g)\/g**4 assuming g is positive.\nAnswer: g**(10007\/100485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -717*t + 1481. What is v(3)?\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000011 (base 2) to base 4.\nAnswer: -102003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*c**2*w**3 + 258*c**2*w - 2*c*w**3 + 3*w**3 + 11*w**2 + 5*w wrt c.\nAnswer: 14*c*w**3 + 516*c*w - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5089305 from -1294.7846.\nAnswer: 5088010.2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1048998, 2097998, 3146998, 4195998, 5244998, 6293998?\nAnswer: 7342998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 105 + 96. What is the third derivative of -203*k**2 + 34*k**3 - 10*k**v + 112*k**3 + 33*k**3 wrt k?\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 5 = 5. Let m(x) be the third derivative of -4*x**2 + p*x + 4\/3*x**3 - 1\/3*x**4 + 0 + 1\/30*x**5. Find g such that m(g) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-9)\/12)\/3). Suppose 159 = x*h - h. Suppose h = 5*m - u, 4*m = -0*u - 4*u + 28. Calculate the greatest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -1\/60*w**7 - 1\/672*w**8 - 1\/4*w**3 + 9*w**2 + 0*w - 13\/48*w**4 - 11\/60*w**5 - 3\/40*w**6 + 0. Factor k(p).\nAnswer: -(p + 1)**4*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.085 + 35844738.862.\nAnswer: 35844738.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-30)\/(-25))\/((-2)\/15))\/(-1). Suppose 18 = -18*x + r*x. What is the third biggest value in 2, x, 0.03?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from dpdvgpxpxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9080*z - 27293*z + 9097*z + 9001*z.\nAnswer: -115*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775372, 775368, 775364, 775360, 775356, 775352?\nAnswer: 775348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2*c - 6 + 11)*(-191*c + 426*c - 205*c).\nAnswer: -60*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 563142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 0*c + 0*c)*(4 - 4 - 1) + 4*c**3 + c**3 - 3*c**3 + 1 - c**3 - 1 + 3*c**3 - 3*c**3 - 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434182303, 434182306, 434182309, 434182312, 434182315?\nAnswer: 434182318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*r**2 - 81*r**2 - 72*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -210 + 1122. Does 57 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 329. Let a = i - 133. Suppose 4*z = q - 97, -3*z + a - 40 = q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-1)\/(-5)*-1. Let 2\/5 - 6\/5*o**4 - 2\/5*o**5 - y*o**3 + 4\/5*o**2 + 6\/5*o = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -6*k**5 - 458*k**4\/3 - 3478*k**3\/3 - 10798*k**2\/3 - 14360*k\/3 - 2200 = 0.\nAnswer: -15, -5, -22\/9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {o: 2, a: 7, b: 2, u: 3, k: 3, h: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -100, -90, -38, 50, 168, 310, 470?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.84026 meters to kilometers.\nAnswer: 0.06584026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(133) + sqrt(133)*2)*3)\/((1*sqrt(77) + sqrt(77) + sqrt(77))\/sqrt(11)))**2 - (0 + -1*sqrt(171))**2*3*-2.\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 31\/2, -7\/5?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34934427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -54, -2, 1, -4.2, 21 in decreasing order.\nAnswer: 21, 1, -2\/5, -2, -4.2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0.2, -3, 4, 1939, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n. Let d(m) = 200*m**2. What is o(d(j))?\nAnswer: -2400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -1.87, 606 in ascending order.\nAnswer: -1.87, -0.5, 1, 606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 2.3 (b) -0.07 (c) 0.2 (d) 9 (e) -5 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.1 (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -217, -322?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 218 = -4*d, 4*u + 86 = -5*d - 246. Let t = -73 - u. Suppose -5*k + 121 = i - t*i, -i - 34 = -5*k. Which is smaller: i or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -575011261*g**3 - 335446134*g wrt g?\nAnswer: -3450067566*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -345*u + 347*u - 38, 3*b - 59 = -4*u for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70437206 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53686 - 19*h + 18*h + 54092)*(0*h - 2*h**2 + 0*h) as v + d*h + a*h**3 + k*h**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.2054 - -0.1054. Let i = 20 - 66. Let h = a - i. Round h to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -2*k + 0*k**4 + 1\/15*k**6 + 0*k**5 + 0 + 0*k**2 - 1\/6*k**3. Find the second derivative of s(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/11 or -48.11?\nAnswer: -48.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -300*v**3 + 76*v**3 + 74*v**3 + 78*v**3 - 52*v + 74*v**3 in the form p + d*v + a*v**2 + c*v**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - g = 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.55 - 0.05. Let h = b + -0.8. Let m = h + -0.7. What is the third biggest value in 0.1, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -30?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148818450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b06 - -4?\nAnswer: b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 364\nAnswer: -19\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6890 and -144460640205.\nAnswer: -144460647095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 78\/9*(-30)\/20. Let a(b) = -b**2 - 13*b + 10. Let y be a(x). Calculate the greatest common factor of 145 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/279951)\/(2\/(-12)). Let q = p + -839833\/133310. Find the common denominator of 2\/(-7) + (-370)\/224 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 13*d**2 + 11*d - 13. Let l = -8091 + 8103. What is f(l)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/63 + (-30)\/(-7). Let p be 2\/l + (-22)\/(-44). Is p <= -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2914 - -5001. What are the prime factors of r?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 961470?\nAnswer: 961470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 316271758 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262441*f**6 + f**5 - 2*f**3 + 2*f**2 + 83125*f wrt f.\nAnswer: 31492920*f**3 + 60*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 550 = 16*x + 258*x. Let u(i) = i**3 - 2*i - 4. Let s(p) = p**3 - 3*p - 5. What is x*s(b) - 3*u(b)?\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.252278 to one decimal place.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 85?\nAnswer: -52\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.338 + -0.018. Let p = 0.01 - s. Let h = p + 0.31. What is the closest to h in -0.03, 0.5, 2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192506?\nAnswer: 2, 101, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 18 = -5*v. Which is greater: v or 7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 + -205. Sort -20\/3, 4, q in ascending order.\nAnswer: -20\/3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + (4 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*n + 7. Let j(b) = -b + 7. Let i be j(6). Let g be 2\/(i - 1\/2). Solve 5*a - g*w + n = -5, -w = -a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-10)))\/(z\/(z**(-8\/9)\/z))*((z*z**(-6)\/z)\/z)\/(z\/(((z*z**6)\/z)\/z)) assuming z is positive.\nAnswer: z**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18567, -42347, -66127, -89907?\n\"Answer: -23780*j + 5213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 115. Which is the nearest to 2? (a) -0.05 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585.158 centuries in decades?\nAnswer: 5851.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g**3*p*s - 90*g**3*s - 2*g**3 + 9*g**2*s + 2289*p*s - 5*s wrt p.\nAnswer: 6*g**3*s + 2289*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164\/1385 + -229029\/659260. What is the common denominator of 8\/595 and m?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61935473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*1\/5*5. What is the hundreds digit of (5\/k - 2) + (-334)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -1. Let f(h) = -12*h + 423. Let l be f(35). Let g be ((-56)\/(-84))\/(1\/(-3)). Sort l, g, i in descending order.\nAnswer: i, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64591, 258331, 581227, 1033273, 1614463, 2324791?\nAnswer: 3164251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d*d*d*d\/(d\/(d**(1\/16)*d)*d)))\/d))**42 assuming d is positive.\nAnswer: d**(1365\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743285084?\nAnswer: 2, 17, 71, 153953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -7, 1273, -1 in ascending order.\nAnswer: -7, -1, 18, 1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-1709.9\nAnswer: 1025.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + u. Let c(n) = 4*n**3 - n**2 + 6*n + 7. Let y(g) = -2*g**3 + g**2 - 3*g - 4. Let p(q) = -3*c(q) - 5*y(q). Let z(b) = -l(b) - p(b). Give z(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 2)*-3 + (3*sqrt(72)*-4)**2.\nAnswer: -18*sqrt(2) + 10362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3886375 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380857 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136.96 - 133. Let h = 0.04 + o. Let n = -4.0000064 + h. What is n rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -101 - 47. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*f**3 - 3237*f**2 - f - 1549722 wrt f.\nAnswer: -312*f - 6474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - o - 14. Suppose 3*z = -6, -4*z - 15 = -s - 77. Let b = s - -70. Give t(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235 - -316362?\nAnswer: 316124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*m + 3*f - 5*f, -m + 3 = -2*f. Suppose -k = 4*k - a - 53, -65 = -5*k + m*a. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 5. Let z(t) = t - 1. What is c(f) - 4*z(f)?\nAnswer: -10*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0*v**6 - 40\/3*v**3 + 0*v**4 - 2\/7*v**7 + 0*v**5 - 3 - 10*v + 0*v**2. What is the second derivative of g(a) wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6384 and 65246608.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*k - 54*k - 217785. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 23*z - 58. Let t be o(-20). Solve -3*a + 2*m - 10 = -t*a, 5*a + 8 = -4*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.753351416 - 0.1225\nAnswer: -9.875851416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-23 - -21) - 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.714 - 1314.\nAnswer: -1309.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -2*s + 700. Suppose 6*l - 95 + s = 0. Let i = -25 - l. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*f**2 + 4*f - 15*f + f**3 + 12*f)*(-6210 - 6255 + 12821) to k*f + l*f**2 + y + h*f**3 and give k.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 - 7*u**3 + 3 + 7*u**3)*(-u + 4*u - u).\nAnswer: -14*u**4 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**3 - 380*f**2 - 5600*f = 0.\nAnswer: -56, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2880 - -349.309.\nAnswer: -2530.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -47394 and 0.5?\nAnswer: 47394.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.04 - 3.892. Let c = 14.776 + a. Let k = c - 14. Round k to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times 0.41?\nAnswer: 13.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, x: 5, f: 1, g: 3, p: 2}. Give prob of picking 1 x and 1 k.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111121222122000 + 10?\nAnswer: 1111121222122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 61?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -3*(sqrt(11) + 1)) + (sqrt(891) - (1 + sqrt(891)) - sqrt(891))**2.\nAnswer: 22*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(1\/2)*c))**(-13)*c\/((c\/c**1)\/c)*c**0*c)\/((c**(2\/7)*c)\/(c\/(c**(-3\/7)*c)))**(13\/6) assuming c is positive.\nAnswer: c**(289\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let y(h) = 7641*h**2 - 35*h + 7. Let m(i) = -3819*i**2 + 15*i - 3. Let v(f) = 7*m(f) + 3*y(f). Calculate v(d(t)).\nAnswer: -15240*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 1748*l + 1745*l + 1 = 0, 6*l + 8 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1045800 and 25\/168?\nAnswer: 1045800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1322070 and -1322068 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {d: 7, n: 4, b: 1, x: 1, p: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11272563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 + 3 = 3*c - a - 11, -4*a - 4 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 61*g**2 - 9*g - 38. Let f be n(-7). Suppose f = 6*m - 1492. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Let u be n + (3 - 2 - 2). Let x(q) = 3*q - 6. What is x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 55 - 30. Suppose 57 = i + 5*u - 341, -1890 = -5*i - b*u. Let q = i - 32. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 17*s + 107. Suppose -10*x + 27 = -53. Calculate the remainder when y(x) is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n - 25*n + 11*n + n**2 - 2 + 4. Determine y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-25) - (-2)\/(-15). What is the third smallest value in 3, -0.5, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5528 minus 50653317?\nAnswer: -50653317.5528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -759 times 0.4\nAnswer: -303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k**2 + 26. Let v(j) = -2*j. Calculate l(v(t)).\nAnswer: 40*t**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + p**2 + 2*p**2 - 6*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - 5*i + 4. Let p = -17 - -20. Let u be h(p). Suppose u = d + 2*s - 51, 4*d = 4*s + 268. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11004853, -11004780, -11004707, -11004634, -11004561, -11004488?\nAnswer: -11004415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493 - 500 - 492 - 501 - 3*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-31)\/(5952\/3064)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -124, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, -5, 12, -4\/5, 11 in descending order.\nAnswer: 19, 12, 11, -4\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-2 + -3 - (5 + 2*sqrt(128)))**2 - (0 + sqrt(128) + -1 + 5 + (-1 + sqrt(128) + sqrt(128))**2).\nAnswer: 536*sqrt(2) + 1595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1 + (1 - 2)). Suppose b = 2*g + 3*g - 25. Suppose -3*a + 2*f + 22 = 0, -f = -3*a - g*f + 28. Solve i + a = 2*u - 5*u, 3*u = i + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54381537)\/(-252) + (45\/20 - 2). What is z rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 17. Suppose x = b*n + 7 + 15, 5*x - 5 = -n. Solve 5*u = 4*o + 24, 5*u - 25 = 3*o + x*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (98*v + 91*v + 3*v)*(v + v - 3*v + 62 + 5*v - 62 + 2*v - v - 3*v + (-1 + 2 - 3)*(-4*v + v + 2*v) - 3*v + 0*v + 2*v) as m + a*v**2 + n*v and give a.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 2*s + 25, -5*s - 15 = 5*t. What is the greatest common divisor of t and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33124 by 14.\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197\/(-12)*-3*(-3 - -47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:52 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {f: 2, g: 8, p: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 330*n**4 - 7886*n**3 + 482106*n**2 - 3308864*n - 14452224 = 0 for n.\nAnswer: -97, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/((-3)\/(18\/(-4))). Let x be (l + (-28)\/8)\/(1\/(-2)). Differentiate x*j - 4*j + 19 + 0 - 5*j with respect to j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 846 = -4*k + 6*w, 1064 = 5*k - 3*w. Let y = k + -209. Let s(n) = 4*n**3 - n**2 + n. Let f be s(1). Solve -p - y = f*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from {r: 2, b: 3, a: 2, j: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2)\/(0 + -2). Solve -3*i + 3*m + 2*m + 10 = x, -5*i + 2*m = -4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 10. Let u = 825\/2 - 413. What is the closest to u in -4, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x + 275. Let r be d(-39). What is the units digit of r\/(-2) - 11910\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150547 + -150547. Let s(g) = -7*g + 6. Let f(w) = -6*w + 7. Let r(y) = -6*f(y) + 5*s(y). Determine r(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938*b = -158*b - 53820 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493693257 to the power of 1\/2, to the nearest integer?\nAnswer: 22219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.0174, 1, 6\/17, 5 in increasing order.\nAnswer: 0.0174, 0.1, 6\/17, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -936640.01 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 6. Let q(w) be the second derivative of w**5\/20 - w**4\/2 - w**3\/3 + 3*w**2 - 3*w. Calculate q(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 17 = -6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 8*p - 12. Let n be x(5). Solve 102 - 105 = n*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152716?\nAnswer: 2, 73, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 1:59 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/17)*q)\/q**(-9\/4) assuming q is positive.\nAnswer: q**(205\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaqggsgggaggsit. Give prob of sequence sag.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53991174*q**2 - 2495778*q wrt q.\nAnswer: 107982348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:33 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 - 7*q**2 - 4*q + 4. Let l(m) = 4*m**3 - 8*m**2 - 3*m + 4. Let z(c) = -3*g(c) + 2*l(c). Suppose 0 = -38*h + 50*h - 72. What is z(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24622 is divided by 4923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -17. Which is the third biggest value? (a) -0.4 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -32*x**5\/75 - 104*x**4\/45 - 37*x**3\/9 - 10*x**2\/3 + 113*x. Determine p, given that v(p) = 0.\nAnswer: -2, -5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = -1219. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74.5 or -49.43?\nAnswer: 74.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/(2*1\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 4, i: 2, x: 1, l: 5}. What is prob of sequence lm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 50, 47, 42, 35, 26, 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 2. Let f be n(-4). Sort f, 3, 4 in ascending order.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844490 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271516 by 2.\nAnswer: -135758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72, -21, 30, 81?\n\"Answer: 51*l - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96.8 - 128. Let n = j + 29.73. What is n rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (-45 + 15)) + (1 - 8) - 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 18 = -6*q. Suppose -48 = -5*k + 22. Let p be (-10)\/(-50)*(-1 - (-1 + 5)). Sort q, p, k in decreasing order.\nAnswer: k, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/((-21)\/(-28) + 0) + -3. Let p = -5 - -25. Calculate the greatest common factor of k and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 3*s - 11. Let v be o(-8). Let a = -10 + v. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771 = -3*z - r + 2*r, 0 = 4*z + 3*r - 1041. Let b = 17 + -13. Let f be (4 + -1)\/z*b. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2195 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.94 - 2. Let v = -0.1645952 - -0.1046. Let z = v - q. Round z to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1969*a + 1073100. Calculate r(-545).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-882)\/210)\/7)\/((-3)\/30)*33\/2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 7 - (4 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Let z(p) = -5*p**2 - p**3 - p - p + 0*p**c - 2 - p. What is z(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1981 divide 16872177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 14*b. Let g be l(7). Solve 3*k = -g*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*q + 122 = 0, 5*b + 662 = 25*q + 3*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 47*b**2 - 104*b + 1. Let w be j(3). Calculate the highest common factor of w and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -480. Let a = n - 572\/5. Sort -3\/2, -2\/9, a in decreasing order.\nAnswer: a, -2\/9, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -660402, -1321388, -1982374, -2643360, -3304346?\n\"Answer: -660986*o + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -7, -21.13 in ascending order.\nAnswer: -82, -21.13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 44*s - 42. Let u be j(5). Suppose -5*k + 4*x = 874, -4*x = k + u - 8. Do -174 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 - 13 = 0. Suppose 0 = -3*i + o - 4*o + 15, 4*o = b*i + 4. Suppose 0 = -i*x - 2 + 10. Calculate the highest common divisor of 44 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9330*u**2 - 52929086*u\/3 + 7564\/3.\nAnswer: -2*(u + 1891)*(13995*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, 3, -2 in descending order.\nAnswer: 3, -2, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Let u(h) = h**3 + 4*h**2 + h - 2. Let s be u(-3). Suppose -s*d + 27 + 17 = 0. Calculate the remainder when d is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 4436*z**2 - 8856*z = 0. What is z?\nAnswer: 0, 2, 1107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -981*a + 114. Let k be -3 + (2 + -5)*1. Let q be n(k). What is q rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 * 26095\nAnswer: 6262800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -366487 - 5?\nAnswer: -366503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589*o = 606*o - 2975. What is the highest common divisor of o and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -2263433?\nAnswer: -2263440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-17)\/85 + 2*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*h + 22807 = 381*h - 3555 - 4998 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 240 - (-4 - (1 + 0 - 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 - t + 1. Let s be a(1). Suppose 7*x = s*x + 72. Suppose -2*p + x = -40. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-10 - -18 - (5 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -3*h**5\/50 + 239*h**4\/60 + 407*h**3\/15 + 129*h**2\/10 - 13*h + 164. Solve z(u) = 0 for u.\nAnswer: -3, -1\/6, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {m: 1, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -659 + 663. Let z(b) be the second derivative of -1\/24*b**3 - 3*b + 1\/8*b**2 + 1\/80*b**5 + 0 - 1\/48*b**p. Factor z(k).\nAnswer: (k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3\/(3 + 0). Suppose 0 = 309*y - 331*y + 44. Factor d + 0*n + 2\/9*n**3 + 2\/9*n**y.\nAnswer: 2*n**2*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381910 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179027669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -17) + -29 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 4 = r + y, -5*r + 4*y + 26 = 0. Suppose r + 6 = 3*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6 - -3) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*k = 2*k + 75, -2*k = a - 8. Let x(l) = -l**2 - 5*l. Let b be x(-4). Solve 14 - 2 = -b*y, 0 = -3*w - 3*y - a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*m**3 - 8*m**3 - 8*m**3)*(9 + 7 + 5*m - 12) as n + q*m**4 + u*m + i*m**3 + y*m**2 and give q.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3208*k - 224584. Give s(70).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7*s = -3, 3*f - 3*s - 53214 = 0. Let y = f + -12101. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 224\/885, -0.5, -12, -3 in ascending order.\nAnswer: -12, -3, -0.5, -2\/7, 224\/885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 11 = -36. Let q be 5*1*4\/p. Let d(w) = w**2 - w + 4. Let m be d(q). Calculate the greatest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 8*f + 4. Let n be z(7). Let o = n + 6. Suppose 4*x = o*x. Solve x = 8*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1123.002282 + -1123. What is w rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -24*d - 84. Let k(u) = 5*u + 17. Let s(a) = -11*k(a) - 2*w(a). Let n(x) = 2*x**2 + 14*x + 14. Let p be n(-4). Is s(p) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 4. Let j = 7 - o. Let x = -0.2 - -0.5. Which is the closest to 1? (a) 2 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyk. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, k: 2, u: 3, q: 2, n: 5, h: 1}. Give prob of picking 1 x, 1 q, and 2 k.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 11\/3*q**3 - 33\/7*q**7 + 0*q**2 + 0*q**6 + 0*q**5 + 0*q**4 + 0*q + 9. Find the third derivative of s(c) wrt c.\nAnswer: -3960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**4*k**2 + j**3*k**2 - 8*j**3 + 387*j**2*k**2 wrt j?\nAnswer: 96*j*k**2 + 6*k**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 6, 3, 200, 0 in decreasing order.\nAnswer: 200, 6, 3, 0, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2 - 4*d - 21. Is b(-6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1000542, -2001054, -3001566, -4002078, -5002590, -6003102?\n\"Answer: -1000512*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17317721?\nAnswer: 19, 911459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34485 divided by 19.\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 - 5*j**2 + 7*j - 4. Let u = 9525 + -9522. Give y(u).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + 3676\/(-160) + 6. Let o = -48\/5 - z. Let l = -28 - -19. What is the third biggest value in o, l, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 67 + 41 = 0. Suppose -l - k - 27 = i, 0 = -5*i - 3*l - 268. Let w = -42 - i. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*v = 186*v - 4*r + 30, 0 = v - 4*r + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450792 = 14560*w - 29688 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.065059 - 0.065. What is b rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46102 - -46107. Which is the closest to -2\/5? (a) 2\/19 (b) 0 (c) 0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 332934?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 8216312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/258 and (-1)\/4 + -1 + 25.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, f: 1, a: 1, w: 3, r: 2}. Give prob of picking 1 w and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let s(y) = 2*y**2 - 3*y + 3. Let k be s(2). Suppose 4*c + 17 = k. Sort c, t, 4 in decreasing order.\nAnswer: 4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -33. What is the biggest value in o, -1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 7*q - 26. Is 68 a factor of s(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.088 and 1917.\nAnswer: 1916.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 11:59 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30350 (base 10) to base 5\nAnswer: -1432400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1259268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190852 is divided by 604.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 4*j**2 + 4*j + 1. What is c(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:10 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 11 - 10) + (-2 - -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2750 and 3870650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 0*l - 2*l**2)*(-4152 + 81601 - 53850 + 126709) to i + h*l + x*l**2 and give x.\nAnswer: -300616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109*3.13.\nAnswer: -341.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/13 + 34*o**4\/13 + 126*o**3\/13 - 162*o**2\/13 = 0. What is o?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 2375. Let f(l) = -2*l**2. Give f(i(x)).\nAnswer: -8*x**2 + 19000*x - 11281250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 33240*y**2 + 92074800*y + 85015732000.\nAnswer: 4*(y + 2770)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 - -113. Let z be (7 - 2)*(-9)\/m. Sort -5, 1, z, -2 in descending order.\nAnswer: z, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**7\/210 - s**6\/120 - s**5\/30 - 7*s**2 + 13*s. Let q(p) be the first derivative of r(p). Determine k, given that q(k) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7\/3 (b) 4 (c) 10\/7 (d) 1 (e) 12\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, n: 1, m: 1, x: 1, o: 2}. Give prob of picking 1 n and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.92 + 0.08. Suppose 0*n = -n - 4*u + 11, -3 = n - 3*u. Sort -4, n, p, -1\/2 in descending order.\nAnswer: p, n, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 12667.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 19*o**2 - 4*o + 26. What are the prime factors of d(18)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x. Let q(d) = -4 - 3 + 5*d + 1. Let h(v) = v - 1. Let a(z) = -6*h(z) + q(z). Calculate a(o(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-637)\/14 + 2)*(-136)\/(-462). Let g = r + 144\/11. Let s = 2 - -2. What is the biggest value in s, -0.04, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435798 and 18538.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2238 divided by -373\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.73783294 to three dps.\nAnswer: 106.738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 28 = 2*p - p, -2 = i. Is 1 - (p\/(-2) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 284, 523, 718, 869, 976, 1039?\n\"Answer: -22*s**2 + 305*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (287804\/(-36))\/11 - (-2)\/(-9). What is the hundreds digit of (-1 - h)*(130\/20 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23143 is divided by 22049.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -1\/5, -172, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*25\/(-300)*1364)\/(-11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8210 + -8215. Sort 3, 1, -1, 2, b in ascending order.\nAnswer: b, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5486 + 5486 + 46*j)*(-17 + 46 - 7 + 27).\nAnswer: 2254*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 3030 - 1041 = 0. What are the prime factors of o\/3*(11 + -20)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:36 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*c + 45 = -95*c. Solve -c*l + 11 = u, 5*u + 17 = 4*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7\/6)*p*p)\/p*p**(-2)*p*p)\/(p**(1\/3))**(1\/43) assuming p is positive.\nAnswer: p**(-15\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(28\/(-16))*(3825\/272 + -14)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1168326, -4673326, -10514994, -18693330, -29208334, -42060006, -57248346?\n\"Answer: -1168334*t**2 + 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.4 + -201.6. Which is the closest to 3? (a) 3 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w**7 + 0 + 0*w**4 + 0*w**6 + 1\/84*w**8 + 4*w**2 + 0*w**3 + 0*w - 1\/30*w**5. What is the third derivative of h(a) wrt a?\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 708 (c) 5 (d) -1 (e) -77 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from ammrmmamaar?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-350 - (4 + -6)). What is the hundreds digit of 0\/(-4) - (u + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 1:05 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61115835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 0)*((-2*v - 1 + 1)*(-2 + 3 - 3) + 14 - 12*v - 14 + (-1 + 1 + v)*(-6 + 4 + 0))*(-3 + 3 - 3*v).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6 + 7\/21. Which is the third biggest value? (a) -2\/7 (b) v (c) -3\/8 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-18)*i\/(i\/i**(-9)) assuming i is positive.\nAnswer: i**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2645.\nAnswer: -2\/2645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1289 divide 12437561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82 - -2 - (16\/2 - 5). What is the highest common factor of o and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 6170586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 161\/2 + 2\/4. Let i be (-10)\/(-55) - (-1030)\/22. Let l = h - i. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 2*r = 6*h - 13, 0 = -5*h - r - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94128 is divided by 13445?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (84\/(-126))\/(7\/3). What is the nearest to x in -2\/49, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063967432 to the power of 1\/2, to the nearest integer?\nAnswer: 45431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9666 - 7477. Is 47 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -18) + (5 - (2 + -3 + -1)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*f + 6, -4*t + 7*f - 12*f = 24. Does 5 divide (3 - 1\/2)*(68 + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**3 - 6*f**2 + 6*f + 6. Let h be 225\/(-21) + 0 + 4\/(-14). Let r(c) = 9*c**3 + 11*c**2 - 11*c - 11. Calculate h*q(o) - 6*r(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5225178, -5225172, -5225162, -5225148, -5225130, -5225108?\nAnswer: -5225082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + sqrt(128) + -2 + -3 + sqrt(128) - (4 + (0 + sqrt(128) - sqrt(128) - sqrt(128)) + sqrt(128)))**2.\nAnswer: -432*sqrt(2) + 1233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -61. Find the second derivative of -y*m - 6*m**5 + 29*m + m**5 wrt m.\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*s = -40*s - 784 + 385. What is the third smallest value in -1\/4, s, -0.174, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48\/65 - -6\/13. Calculate the common denominator of (-1140)\/400 - 3*4\/30 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 4*z - 5*q, -2*q - 6 = 0. What is the units digit of z\/3 - 24\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -46*t - 142. Let u be n(-3). Which is the third biggest value? (a) 16 (b) -4\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/29 and 869\/132 - (-9 + 4)?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 5*d)*(0 - 1 + 2)*(-1 + 3 - 1)*(0 + 1 + 1).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 290\/(-75) - (-3 + (-94)\/(-30)). Let p be (35\/7 + -1)*(-606)\/b. Let t = p - 318. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1902)\/(13\/(130\/(-15))). Let x = -936 + c. What are the prime factors of x?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 676862947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slgyggttylgqqggg. What is prob of sequence ygl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.311 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -104033 (base 7) in base 12?\nAnswer: -a64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.505 - 0.005. Let k = -18 + n. Which is the closest to -2? (a) 1\/3 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 508 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2640 - 0?\nAnswer: -2640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125053754\/6555 + -362460\/19. Let g = 2\/69 + r. What is the second biggest value in -7, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbgb when four letters picked without replacement from {g: 4, r: 1, b: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + b + 2 = 0, 10 = o + 2*o - 5*b. Suppose 2*l - 4*l = 2*h - 44, 2*h - 8 = o. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h + 997 + 5*h**2 - 340 - 326 + 4*h**3 - 334 to the form w*h + a + s*h**3 + i*h**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15936 is divided by 757.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 9. Suppose -570 = 3*i + 2*f, 0*i - 4*i - 774 = -2*f. What is the remainder when 11\/(-55) - i\/y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.0875mm to micrometers.\nAnswer: 495087.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 15. Let u(y) = -2. Determine g(s) + 6*u(s).\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 2*c**2 + 2*c**2)*(11 - 4 + 15)*(2 + 10 + 14)*(2*c + 0*c - 4*c).\nAnswer: 1144*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25340, 33400, 41460, 49520, 57580?\nAnswer: 65640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1784 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from vvvvccccvvv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1 + 3*l**3 - 4*l**3 - 2*l**2 - 6*l + 3 + 4*l. Let c be g(-2). Calculate the highest common divisor of c and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010011110 (base 2) to base 15\nAnswer: -53c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559.8672 decades to centuries.\nAnswer: 55.98672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*(-1)\/3 - (1 + -9). Let i(y) = y**3 - 5*y**2 - 8*y + 8. Let t be i(6). What is the smallest value in r, -3, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5026567755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -362\/501 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-760)\/30*(-3)\/2. Let j = 40 - u. Let d(s) = 5*s. Let v be d(j). What is the highest common divisor of v and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004351344634 to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 435*u + 35 = 440*u - 16, -15*u = -5*z - 155 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2989 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-1.1997.\nAnswer: -1.31967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 i, and 1 v when four letters picked without replacement from vllliglgslillssssl?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2916)\/(-54))\/(2\/24*9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2 + d**3 + 14*d**2 + 43 - d**3 - 10*d**2 - 123*d**5 wrt d?\nAnswer: -7380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1297, -6\/7, -4 in descending order.\nAnswer: 1297, -6\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 3*m**2\/2 + 11*m - 4. Let j be (2\/(-5))\/((-5)\/75). What are the prime factors of p(j)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*(-78)\/26.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 54, -7.849 in increasing order.\nAnswer: -7.849, 2\/7, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w - 7. Let u be z(-3). Suppose -2*l + 1 = -3*l - 5*j, -u*j + 26 = -4*l. Let b = -1 - l. Solve 0 = 2*r - 2*i, b*r + 11 = -i + 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4052 - -4051.4. What is the third smallest value in -1, 4, y, -6\/19, -2\/17?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 16 = 2*s. Put -7, 5, s, 0 in increasing order.\nAnswer: -7, s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -3*h**2 + 2. Let r(m) = 0*m**2 - 2*m**2 + 0*m**2. What is r(g(s))?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 7*m**2 - 19*m + 5. Let v be t(9). Let n(a) = a**2 + 5*a + 2. What is n(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 164, 15\/4, -1.\nAnswer: -1, 15\/4, 31, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580423694?\nAnswer: 2, 757, 383371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*1\/6 - (-9411)\/9 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 9:15 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10458 and 198686313.\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:02 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(4 + 5 - 8*n - 7) in the form d*n + p and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 15 - 23 + 9 + (0 - 4 + 2)*(5*t - t - 5*t) + 0 + 0 + 2*t to c + w*t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*s + 2*s = 21, -5*w = -5*s - 55. Suppose 3*o - w = o. Suppose 4*k = -b + 3*b + 10, 0 = 3*k - o*b - 9. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*l - 3. Let t = -48473 + 48484. Put l, -3, 4, t in ascending order.\nAnswer: -3, l, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1657657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -119. Suppose 0 = -2*u - 4*f - f + 134, -u + 5*f + v = 0. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465*k**3 + k**2 - k**2 - 349*k**3.\nAnswer: 1116*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 0*h + 1\/10*h**5 + 3 + 0*h**2 - 1\/6*h**3 + 0*h**4. Factor j(m).\nAnswer: m**2*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 728.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(90)\/(2*sqrt(5)))\/sqrt(6)*4.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*1 - (-745)\/120 and 161\/(-40) - (-32)\/(2112\/99)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 207343000 to the nearest one hundred thousand.\nAnswer: 207300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 7*j - 1 + 2*j**2 - 6*j + 14*j to i + n*j + u*j**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + (5 - -4) + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 - d - 2. Determine g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 34 = -2*n, 0 = 3*a - 7 - 5. Suppose 33 + n = 10*c. Let j be (-3)\/1 + 1*6. Solve 1 = -2*l - 2*v + j, 0 = c*l - 5*v - 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 98*d**5\/15 + 21*d**4 + 40*d**3\/3 + 8*d**2\/3 - 202. Determine c so that l(c) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5500220 divided by 20\nAnswer: -275011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j**(-6)\/j))\/j))\/((j**(2\/13)*j)\/j)*(j*j\/j**(-6))\/(((j\/(j\/(j\/j**(2\/5))*j))\/j)\/j*j)*((j\/j**(-1))\/j)**23\/(j\/j**0)**45 assuming j is positive.\nAnswer: j**(-1219\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**5 - 176*s**4 - 2240*s**3 - 12446*s**2 - 26411*s - 4802.\nAnswer: -(s + 7)**3*(s + 14)*(5*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -23*v - 410. What is h(-17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5875683448 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -916.3 + 1005.7. What is u rounded to zero decimal places?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from ekeiaaykaaaeakem.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.9? (a) 1\/2 (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754, 883, 1106, 1429, 1858, 2399, 3058, 3841?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 1. Suppose 4*j + 10 = -3*l - j, -5*j - 10 = -2*l. Let p(d) = 3*d + l + 3*d + 2. Suppose 4*i = 6 + 10. Give i*h(b) - p(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51109 and 0.4?\nAnswer: 20443.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -1\/2*d**3 - 1\/8*d**4 + 0*d + 3*d**2 + 0. Suppose -4*t = -2*n - 16, 13*t = -3*n + 15*t - 12. Calculate m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 n when three letters picked without replacement from nmkmmmmmmmmmmk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12331.\nAnswer: 11, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3568*m**2*n**2 - 124*m**2 - 18436*n**2 + 551959*n wrt n.\nAnswer: 7136*m**2 - 36872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4725\/(-30))\/(-15)*(-4)\/6. Let t = 12 - 8. Put 3, t, i in increasing order.\nAnswer: i, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10111010?\nAnswer: -10111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7781*0.08.\nAnswer: -622.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 3*d + 3. Let r(x) = x - 1. Determine 3*r(h) + w(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 108 + 29)*((4*z**2 + z**2 - 6*z**2)*(2*z + 0*z - z) + 25*z**3 - 24*z**3 - 72*z**3) - 2*z**3 + 6*z**3 - 2*z**3.\nAnswer: 3242*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {i: 5, x: 4, j: 1, e: 10}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60465049 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: Which is the third smallest value? (a) 0.18 (b) -1 (c) -2\/5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*d - 353*d - 492*d - 18*d**2 - 491*d + 1831*d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78842 and 440662.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 2 - -33 - 30\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 4*j - 4. Let g be 48\/56*(-14)\/(-3). Suppose a + g = 5. Let r be (-3 + (1 - a))\/1. Determine m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106377026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (52\/39)\/(1\/(-234)). Let x = p + 403. What is the smallest common multiple of 52 and x?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*h**3 - 12*f**2*h**2 + 400*f*h + 740*h**3 + 2*h - 1 with respect to f.\nAnswer: -4*f*h**3 - 24*f*h**2 + 400*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**6 + 0*c**3 + 5\/42*c**7 + 0 - 1\/12*c**4 - 9*c + 0*c**5 + 0*c**2. Find the third derivative of p(f) wrt f.\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905445?\nAnswer: 3, 5, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660740?\nAnswer: 2, 5, 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4328 - 1bc?\nAnswer: -4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/60*(-2 + 2)\/(-2))\/2. Let j(f) be the second derivative of 2*f + 17\/12*f**4 - 1\/3*f**3 + 0 + l*f**2. Find the second derivative of j(r) wrt r.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 - 66 = -4*m. Let o = 153 - m. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 335052460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**2 - 2*i - 1. Suppose 4*n - 52 = 4*f, 4*n - 2*f = n + 35. Suppose -n*l + 8*l = 1. Give x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16700\/19 + 879. What is the biggest value in 0.04, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1181 - -2085. Let w(t) = b*t**2 + 910*t**2 - 1799*t**2. Let g(m) = -162 - m + 162. Give w(g(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 8:55 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, -2\/19, 0.5, -6\/7, -37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 1:18 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*k**3*u**3 + 2*k**3*u + 563*k**3 + 2*k**2*u**2 - 102*k**2 + 5*k*u**3 wrt k?\nAnswer: 192*u**3 + 12*u + 3378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*((-4*-1*sqrt(700) - (sqrt(700)*-1 + 2 - sqrt(700))) + 1 + (sqrt(700) + 2*sqrt(700))*-4))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.696468 milligrams?\nAnswer: 0.005696468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (285*l - 61*l**2 - 285*l)*(3 - 3 + 2) to the form f*l**2 + c*l + z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 1, -2\/3, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123996?\nAnswer: 2, 3, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.79133 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -38*p**3 + p**2 - 3*p - 1. Let j be w(-2). Suppose 4*v - 2*x - 440 = -3*x, 3*v = -5*x + j. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 922*k + 3674. Determine t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -28. Let s be -5 - (-3 + k - 3). Find the first derivative of -7*f**3 + 1 + 15*f**s - 14*f**3 + 31 wrt f.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1146*j**2 + 128*j**2 - 397*j**2.\nAnswer: -1415*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 47. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 455 + 71 = 2*q, 880 = -5*y + 4*q. Is -174 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*b - 20 = 0, -m - 2*b = 4 - 10. Suppose i - m = 13. Calculate the remainder when i is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24607 (base 11) to base 2.\nAnswer: -1000101000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/491 and 1\/7956 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2*h**2 + 7*c**2 + 1654*c - 3499*h**2 + 2*h - 5 wrt h.\nAnswer: 8*c**2*h - 6998*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 366?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.248 and -122?\nAnswer: 128.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2)*-6)\/(sqrt(297)\/sqrt(3)) + sqrt(60)\/sqrt(3) + -1 + sqrt(180) + 1.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 41*n**2 + 3536*n\/5 + 1156\/5.\nAnswer: (n + 34)**2*(3*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyeqe. Give prob of sequence yyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1328 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ififixxfkxkfazxki. Give prob of picking 2 f, 1 z, and 1 i.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8674037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*r**2 + 49*r**2 + 50*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/15 - 6\/15. Suppose c = 5*o + 4*b - 171, -b - 137 = -4*o - 4*b. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/7, 0.2, 0.5 in decreasing order.\nAnswer: 3, 0.5, 0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 3. Let v be h(-5). Let r(c) = 12*c**2 - c + 3. Let l be r(v). Suppose 4*g = 107 + l. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - 98 + 98 + 12*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 8. Let p be (-4)\/(-6)*30\/u. Solve -j + p*j + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -5 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 53. Let x = r + 2. Calculate the remainder when 72 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s - 14. What is the remainder when h(7) is divided by 3 - 1*(-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:07 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*q - 16 - 286 = 666 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.531914 times 0.09\nAnswer: 0.22787226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 9 - 11. Solve -d - j*d = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89387019 to the nearest integer?\nAnswer: 9454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16267 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(((-114)\/36)\/19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.5, 0, -0.06, 6\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89589014, 89589021, 89589028, 89589035?\n\"Answer: 7*r + 89589007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from kfaefkaeeeee.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**2)**(-3\/22)\/(a\/(a*a**0))**(-45)*((a\/a**(1\/6))\/((a\/a**3)\/a))**(-3\/13) assuming a is positive.\nAnswer: a**(-224\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 37 - 21 + 10 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let j(r) = -r**2 - r. Let d(g) = g**3 - g**2 - 4*g + 13. Let p(k) = d(k) - 2*j(k). Does 13 divide p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*y**4 - 910*y**2 + 104 with respect to y.\nAnswer: -16*y**3 - 1820*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 (base 11) in base 14?\nAnswer: 52b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3576 divided by -6\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -9) + 43 + -51?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + -2 + sqrt(1900) + 1*sqrt(1900) + -3)**2 - (sqrt(1900) + -2*((sqrt(1900) + -1)**2 + sqrt(1900)))*-1)*-3.\nAnswer: -22812 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512879.\nAnswer: 401, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 130447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 1\/3*z**3 + 0*z**4 + 56 - 2*z + 0*z**6 - 27\/7*z**7 + 0*z**5 + 0*z**2. Find the third derivative of l(w) wrt w.\nAnswer: -3240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppeppppppppp. Give prob of sequence ep.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 85529 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1731 != -3461\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 - p**3 - 14 + 9 - 231837*p + 231831*p. Determine u(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165.8 - -164.4. Which is the second biggest value? (a) i (b) 0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:14 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddnd when four letters picked without replacement from ddnndood.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b - 6 = -3*i, -4*b + 4*i = -20. Let x be 1*(-4 + 2 + 2). Suppose -5*t = -25 - x. Solve 8 = -2*j - 2*y, t*j = b*j + 5*y + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2005*r**2 + 12358*r**2 + 10602*r**2.\nAnswer: 20955*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318 - -317. Which is the smallest value? (a) 0.5 (b) -2\/7 (c) 13 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 - 0.1. Let f(l) = -10*l + 119. Let p be f(12). Which is the closest to p? (a) -0.4 (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (7 + -11)) + -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/90 + 1\/18. Let m = 33.94 + 0.06. Let t = m - 29. Sort -7, u, t.\nAnswer: -7, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1638 + 1707. What is the remainder when c is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 4*s - 10, -b + 2*s + 0*s - 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*w = 64403 + 465203. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + 7*m - 3*m + 159*m**4 - 572*m**4 + 9*m**3 to v*m + g*m**3 + a*m**2 + k + z*m**4 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 31.95.\nAnswer: 159.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.84218 - -0.12618. Round k to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 13*g**2 + 2*g + 7. Suppose -4*r + 36 = -16. What are the prime factors of z(r)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124*d**5 - 1492*d**4 + 4512*d**3 - 144*d**2.\nAnswer: 4*d**2*(d - 6)**2*(31*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -18*b + 468. Let j = b + -70. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 213510031 and 244011464.\nAnswer: 1708080248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g - 11740 = 0. List the prime factors of g.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 9 + 5. Let n = l - -11. Determine u so that 32*u**3 - 6*u**2 - 30*u**n - u + 8*u**5 + 0*u**3 - 3*u = 0.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52114\/609 at most 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 8, -3*w + 4*o = -5 - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 37*z + 161. What is v(-42)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/7558985 and -83\/6047188.\nAnswer: 30235940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143102 - 43531. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -2 + (4 - 38).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182349.\nAnswer: 7, 67, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h = 17*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1172267 and 5713.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -2*n**4\/3 + 674*n**2 + 1. Let c(g) = -g**2 + 19*g**2 - 2*g**2. What is z(c(l))?\nAnswer: -256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/(-24))\/((-2)\/(-6)))\/(24\/(-96))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120 - 1815?\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -15, -62, -147, -276, -455, -690, -987?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34\/39 - -7\/13. What is the nearest to 0.3 in -0.12, f, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-2*4 - (sqrt(68)\/(sqrt(16)\/sqrt(4)) - (sqrt(204)\/(sqrt(12)*-2))**2))*-1 + 2 + 3.\nAnswer: 3\/4 + 89*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8606, -33, 4 in descending order.\nAnswer: 8606, 4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 4 (c) 3 (d) 4\/5 (e) -0.4883 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - l + 10 = 0, 4*p + 340 = -2*l + 332 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (0 + 4 + -307)\/(174\/(-1450))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 6 + 8*w + 2*w)*(24*w**3 + w**3 + 19*w**3) to f*w**3 + u*w**2 + i*w + q*w**4 + t and give q.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*j + 136*j + 203*j + j + j + 0*j - j + 2*j - 3*j + (2 - 2*j - 2)*(-4 + 5 + 1) + 0 + j + 0)*(-j - 3*j + 3*j).\nAnswer: -403*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(252) + sqrt(252))\/(sqrt(4) + (sqrt(28)*1)\/sqrt(7)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 267*y\/2 + 959.\nAnswer: -(y - 7)*(y + 274)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 341889276 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 6) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-225)\/(-20)))\/(6\/27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161 (base 14) to base 9.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/(-104) + (-1)\/(-4). Let k = 31\/65 + n. Let t = 30.38 - 25.38. Put 17, k, t in descending order.\nAnswer: 17, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 3:03 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -8. Suppose 2 = -4*u + x. Let y = 726 - 721. Solve 0 = -4*f + y*z, 48 = u*f + 5*z + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108 + -94. Let v be ((-20)\/(-6))\/(w\/21). Suppose 0 = 3*s - v*s + 24. Solve 2*f - y = 3*f - 4, -2*f + 2*y = s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 17, 31, 63, 119?\n\"Answer: k**3 - 5*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31121 is divided by 1000.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 217 in descending order.\nAnswer: 217, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 14616.\nAnswer: 116928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2334106*m + 405520*m + 10375*m + 6. Let c be p(-6). What is c rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 2*c - 40.\nAnswer: 2*(c - 4)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 8:35 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -3027.4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + 124. Suppose v + 3*c - 4425 + d = 0, 8542 = 2*v + 4*c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130725\/(-23240) - 6\/16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {g: 7, j: 3, q: 7, k: 2}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3, 10207, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 (base 15) in base 12?\nAnswer: a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 s when four letters picked without replacement from {k: 1, u: 8, s: 1, h: 2, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + 60 = -4*m, 6*m - 24 = 2*m - a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20235\/4, 2, -0.2, 1\/3 in descending order.\nAnswer: 3, 2, 1\/3, -0.2, -20235\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j + 0*j)*(2 - 2 + 2*j) + 1 - 1 - 17*j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 10*t**2 + t - 2. Let q be (3 - (-2 - -5)) + 10. Let r be v(q). Calculate the greatest common factor of r and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/5)\/n)*n**(4\/7))**(4\/19) assuming n is positive.\nAnswer: n**(416\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 33*m**2 - 185*m + 193. Let u be x(-38). Solve 0*a - a + 6 = -3*b, u*b - 2*a + 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/3 + 35*s**2 - 3*s. Let u(b) be the second derivative of -7*b**4\/12 - 8*b. Determine u(k(r)).\nAnswer: -448*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 0.2, 4 in ascending order.\nAnswer: -29, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 8. Let w(h) = -4*h**3 - 2*h**2 - 2. Let q be w(f). Let g = 404 + -184. What is the greatest common divisor of q and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 + 231 - (-1 + (-1 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**4\/24 + 4*x**3\/3 + 7*x**2. Let s be b(6). Suppose -s*v - 12 = -6*v. Is 7\/2 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2 + 26164*u + 104720 = 0.\nAnswer: -4, 6545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318635357 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 5:11 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-3)\/(-14))\/((-12)\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r + 8*r - 4*r)*(-2 + 1 + 9)*(-2*r + 2*r**3 - 10*r**2 + 10*r**2) in the form j*r + m*r**2 + h*r**3 + x*r**4 + n and give x.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 37 = 4*f + 113, -4*b + 119 = -3*f. Let o = 43 + f. Calculate the greatest common factor of 9 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 7*k + 7. Let h(b) = -b**2 + 2*b - 2. Let z(y) = -2*f(y) - 7*h(y). Let o = 0 - -3. Let t(q) = -o + 3 - q. Give z(t(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-20)\/8 - 0. Solve -20 + q = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 5228880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 285510.\nAnswer: 285511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z**3 - z)*(-4 + 5 + 1)*(505 - 505 - 15*z).\nAnswer: -30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 685177417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*m**2 + 8*m - 3*m - 4*m + 36*m**2 + 0*m to the form t + s*m**2 + v*m and give s.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3404 - 2695 - 6854 - 10894 - 3191)*(d + 3*d - 5*d) to g + u*d and give u.\nAnswer: 27038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 5*n + 7. Suppose 0 = 12*b - 9*b - 15. Calculate k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 121*d - 2027. Determine h(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -66 + 92 - (1 + -24)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 4. Let u be m(0). Suppose 0*l - 2*l - 3*o = 2, 0 = -u*l + 4*o + 16. Solve -l = -i - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2016\/36)\/(-448))\/((24\/(-32))\/(93\/(-2))).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Suppose p*x = 317 - 41. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Suppose 0 = v + g*n, 3*v + 18 = -4*n + 43. What is the units digit of v*(3 - (-24)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, m: 12}. What is prob of sequence im?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 0, -2\/5, 1\/50, 4 in descending order.\nAnswer: 4, 1\/50, 0, -2\/5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 731 and 57749.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110190437 and 97433?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-83 + (-32 - -44)) - -12.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 83 = -a, 25*a - 69*a - 3*v + 127 = -43*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -10. Let x = -28 + k. Let v be (10\/12*28)\/(x\/(-5130)). What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920136?\nAnswer: 2, 3, 7, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/6*(-4 + (1 - -4)). Which is the closest to 0.1? (a) l (b) 11\/5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 189131 and -13825292.\nAnswer: -13636161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t - 32*t**5 + 52*t**5 - 7*t wrt t.\nAnswer: 400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -50493*h**2 + 9055*h - 19. Let c(j) = -5613*j**2 + 1006*j - 2. Let p(f) = -19*c(f) + 2*m(f). Find the second derivative of p(i) wrt i.\nAnswer: 11322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.34999594 - -0.35. What is y rounded to 7 dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 23 = f, 2*f = -3*k - 0*f + 20. What is the remainder when k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*i**3*j**3 + 3*i**3*j**2 - 818*i*j**2 wrt j.\nAnswer: 1326*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077104 greater than 3077103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*n + 0 - 4*n - 1 + 34*n as r + m*n and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 160*q**2 + 575\/3*q**3 - 20*q - 210*q**5 - 815\/4*q**4 + 149. Solve h(k) = 0.\nAnswer: -1, -1\/2, 2\/35, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 623 + -613. Suppose -s = 14*x - 9*x. Let j = -1 + -4. Sort x, -3, 2, j in decreasing order.\nAnswer: 2, x, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 49 - (-29 + (-20 - -37))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458330 = -87*z + 22906 + 170220. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6932*j + 21068*j**2 + 6932*j.\nAnswer: 21068*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -103?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*d = 28, 4*s + 101 = -d + 201. Solve -x + s = -7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.36835642 rounded to 1 dp?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -106551?\nAnswer: 106545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**(3\/5)\/a))*a**3)\/(a**(-5))**31)**(1\/63) assuming a is positive.\nAnswer: a**(793\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*0.14552.\nAnswer: 5.67528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1200 by 2716.\nAnswer: 300\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpwllllxp. What is prob of sequence whp?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-16)*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/374 and -127\/2496042.\nAnswer: 27456462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*b**2 - 28*b**2 - 31*b**2 - 2*b**3 + 54*b**2 to j + g*b + a*b**3 + k*b**2 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2013 and 18875352.\nAnswer: 207628872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 122850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15813 is divided by 290.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778079309.\nAnswer: 7, 29, 3832903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 + 76 = 428*n - 311*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = f + 5266 - 1129, f = -2*z - 4146. Let j be ((-42)\/(-4))\/((-27)\/f). Round j to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 33 = 4*v + 19, -2*g - 5*v = 48. Let i = 4190 + -4178. Let n = i - g. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -230*g**3 + 7*g**2 - 2*g - 77. Let h be v(-10). Suppose 2*s = 4*w + 2223604, -786547 = w - 2*s - h. What is w rounded to the nearest ten thousand?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25485, -204820, -691583, -1639488, -3202249?\nAnswer: -5533580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {b: 1, a: 1, y: 2, q: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5913078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -92. What is the tens digit of 2\/13 + 384\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -16*y**3 + 3*y - 1. Let b(s) = -26*s**2 - 2547*s + 95. Let f be b(-98). Let l(g) = 17*g**3 - 4*g + 2. Determine f*l(m) - 4*k(m).\nAnswer: 13*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3138849 centuries to months.\nAnswer: 376.66188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(12) - sqrt(108)*2) + sqrt(12)) + ((2*sqrt(12)*5)\/sqrt(6))**2.\nAnswer: -sqrt(2)\/4 + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194b (base 14) in base 13?\nAnswer: 2b091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -248 and 96 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(500)*-4*-1*2.\nAnswer: -400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (4 - (2 + 1)). Let j(h) = h**3 - 3*h**2 - 2. Calculate j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-8)*2 + 3. Let v be (27\/6 - k)*756. Suppose -2*n - 5*d = 3750, 3*d - v = n - 2*d. Round n to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 51. Let w be (18\/18)\/(((-2)\/f)\/4). Calculate the common denominator of (14\/12)\/(w\/38) and -59\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.47 or -133?\nAnswer: 5.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24730689)\/(-555) - 2\/(-10).\nAnswer: 2, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 1096, 2829, 5206, 8233, 11916?\nAnswer: 16261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*i - 88, 5*i + 1 = v - 15. Suppose -3*o + v = 6. What is the units digit of 588\/35 + 2\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 - 172 = -34*c - 133. Solve 30 = -u + 5*f, -u + 4*u = -f - c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 130740410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q**5 - 465*q**4*s - q**2*s + 4*q*s - 19*q - 131*s wrt q.\nAnswer: 100*q**3 - 5580*q**2*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1560 - 1103. Let d = -5 + c. What are the prime factors of d?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(19) + 2 + -1 - -6*(sqrt(19) + 2)).\nAnswer: 9 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -18*n + 22. Let m(y) = -53*y + 65. Let w(q) = -3*q - 11. Let i be w(-6). Let z(b) = i*r(b) - 2*m(b). Differentiate z(j) wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 60.94267 centuries?\nAnswer: 6094.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-204)\/(-54) + -4 + (-19588)\/(-18). Suppose z - 2051 - v = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/2)\/(-39 + (-29362)\/(-424))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6037 = -259*a - 129*a + 22675 for a.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 g when three letters picked without replacement from glnylvns.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11*w - 28 = 0. Let i be w - (-20)\/4 - -5. Find the second derivative of 67 + i*f**2 - 71 + 0*f**2 + 2*f - 2*f**2 wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 5\/15)*(-9)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 12*k - 115. Suppose 2*i - 1046 = 4*a - i, -785 = 3*a - 2*i. Let w = a + 1321\/5. Are w and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (695\/4865 + ((-1188)\/(-357) - 3))*(-2)\/168\nAnswer: -2\/357","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (-2 - 1))*(-3 + 2). Suppose -2*n + o = -5*k - 12, -5*k - 70 = -5*n. Calculate the remainder when 27 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8301607 is divided by 4971.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 46\/15*d**2 - 26\/5*d**3 + 26\/15*d**4 + 16\/3*d - 24\/5 - 2\/15*d**5 = 0.\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 71*s**2 - 86545*s. Let n(a) = 3*a. What is y(n(l))?\nAnswer: 639*l**2 - 259635*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -92*d**3 - 20*d**2 + d + 31. Let f(y) = -23*y**3 - 5*y**2 + 8. Let s(c) = 9*f(c) - 2*u(c). Let l be s(5). Round l to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-2)\/((-144)\/18))\/((-14)\/4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -10 - (-21 - -72)) + 33.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 10.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let v(r) = -16*r**2 - 11*r + 4. Let b(j) = 3*j**2 + 2*j - 1. Let w(q) = 6*b(q) + v(q). Calculate 2*w(o) + 6*x(o).\nAnswer: -2*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 5*i - 13. Let z be 6\/(-10) - ((-377)\/5)\/(-1). Let s be z\/57*((-18)\/4)\/(-1). Calculate g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37170 and 14?\nAnswer: 37170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0. Suppose 2*p + 4*i - 26 = 0, 4*p - 3*i = i + 4. Solve p = x + u*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + t - 6. Let n be l(-4). Let a be (n - 4)*73\/2. Suppose 0*d + 930 = 3*d + 4*o, a = 4*d + 5*o. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 6*r - 17. What is the tens digit of b(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2636 by -1318.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1.6. Let c = -0.9 + 0. Let r = c - 3.1. What is the third smallest value in m, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 2 = b + 3*k, -2*k - 20 = -2*b. Suppose -3*z + 46 + b = 2*i, -2*i = -8. Suppose -q + 4*j + z = -j, 5*j + 15 = 0. Solve -q*t + 0 + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 3*h - 1. Let x = 1 + -5. Let d be l(x). Suppose d*p + 5 = 4*p. Solve 2 = p*v + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -625c62 (base 16) to base 12.\nAnswer: -21aa516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/18016 and 57\/1126?\nAnswer: 18016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1850 and 1851 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6 - 75*i**5 + 2*i**2 - 101 wrt i?\nAnswer: 120*i**3 - 4500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 6*h = 210. Let l = 43 + h. Let j(u) = 3*u + 6. Calculate the remainder when j(10) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1798, 11.5, 0.5, 0.4, 0.8, -2 in descending order.\nAnswer: 1798, 11.5, 0.8, 0.5, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15105 - -23360. Let k = 8255.000004659 - f. What is k rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y - 36. Let k be i(9). Let l = 68 - k. What is the greatest common divisor of 70 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9421 is divided by 4562.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/14 and 51\/284?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-2\/19)*l**6*l*l**3*l**(-5))**(21\/8) assuming l is positive.\nAnswer: l**(2835\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 - 5 = 0. Let a(z) = -z + 5. Let x be a(-5). Solve -i*c + 15 = -2*c + 3*g, -x = -2*c - 2*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1036960000?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -461851176.\nAnswer: -461851171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -27 + 67. What is the closest to 0.1 in -9, -5, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddww. What is prob of sequence dwwd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3450 - 7681. Let r = -4234.718 - y. What is r rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312 > 39757\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/42)\/(21\/(-49)). Let x = 0 + 1. What is the closest to 1 in w, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2661229875 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110011101011 (base 2) to base 4.\nAnswer: -2303223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 501 - 961 + 492 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-5) - 6\/(-15). Let s(o) = -o**2 - 2*o - 3. Let r be s(a). What is the units digit of -3*(-2 + (-2)\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*b + 4, -b + j = -0*j - 3. Let v(f) = -4*f + 1. Determine v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 1 - 5. Let x(y) = 6*y - 3 + 2 + y - 9*y + 45*y**a. What is the units digit of x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -4, 13094398 in ascending order.\nAnswer: -4, -1, 1, 13094398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 3872.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/4 (b) -1.9 (c) -1\/9204 (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64477 + -5?\nAnswer: -64504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.801 + -2.301. Let t = -3.9 + -0.1. Which is the biggest value? (a) t (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 0*o**2 - 2*o**2 + 10*o**2 to p + x*o**3 + l*o**2 + g*o and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(-5 + (-11)\/(-2)). Suppose -2*j = b*j - 147. What is the smallest common multiple of 3 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.3 (b) 0 (c) 0.4 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 + 8086*u - 16345849 = 0. Calculate u.\nAnswer: 4043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (34\/4 - 9\/6)*5. Let o be (-110)\/s*-7 - -1. Solve 5*k + o = 3*j - 5, -2*j - 5*k - 23 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 204\/21 + (-8)\/(-28). Let l be (-4)\/(-14) - 1930\/(-7). Let s = 386 - l. Calculate the highest common factor of p and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (52 - (-53 - -107))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10)*(-5)\/3. Sort 4, n, 0.3.\nAnswer: n, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - (-34)\/(-8))*552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 14.3. Let h = -55 - l. Let j = 68.9969 + h. What is j rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (1 + 0) - 1. Let v be (2 + k - -1) + 0. Suppose v*g - 4 = 4*g. Sort 3, g, 2 in increasing order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 14. Let n(j) = -3*j - 6. Let r be n(-5). Let q = r - b. Solve 2*l + 4*i - 3*i - 2 = 0, -q = -5*l - 2*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 3, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -2\/9 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275))**2*1*-2 + 5.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1157*l**2 + 706*l + 28*l - 1159*l**2 in the form f*l + k*l**2 + q and give f.\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + k. Suppose 3*z - 4*c + 0*c - 8 = 0, -5*c = z + 10. Let n be d(z). Suppose -2 = -4*o + 3*o. Solve 7 = -2*x + 5*l, n*x = o*x + l + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:28 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 - 4*a. Let t(n) = n**2 + 5*n + 4. Let r be t(-5). Let s be (-6)\/r*1748\/69. Let y = -43 - s. Calculate w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 66*q**2 - 149*q - 448. Is 8 a factor of c(-64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.2 - 0.2. Let y = -10.1 + l. What is the biggest value in y, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -h - 4*j, -5*h = -7*j + 10*j - 38. What is the second derivative of 37*o + 59*o - 3*o**2 - 9*o - h*o**3 + 56*o wrt o?\nAnswer: -42*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*u + 15*u = 6160 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - 16*u - 17. Let n(x) = -x**2 + 15*x - 45. Let c be n(6). Let l be j(c). Solve 2*g = -3*a - 14, 4 + l = -5*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - 100. Let c = 157 + u. What is the closest to -13 in -0.5, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 10.1. Let v = y - -4. Let j = 5.1 - 5. Which is the closest to j? (a) 4\/3 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*u + 5*l, 0*u + 2*u + 5*l = 27. Suppose w + u - 5 = 0. Calculate the remainder when 10 is divided by (-24)\/w*(0 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3424 = 8*v - 16*v. Let n = v + -52. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (30\/(-9))\/(-5))*12. Let j be (3\/(-30))\/((-2 - 2)\/r). Put 6, j, -0.2 in descending order.\nAnswer: 6, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1))\/f)\/(f*((f*f\/f**(2\/15)*f*f*f*f*f)\/f*f)\/f*f))\/(f*f**(-1)*f)**44 assuming f is positive.\nAnswer: f**(-763\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 4. Let t(x) = -1. Let o(q) = h(q) + 6*t(q). Let v be o(1). Suppose 0 = v*c - 4*a - 750, 4*c - 3*a - 1512 = -a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 62 (c) 1495 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69117 or 69116?\nAnswer: 69116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*r**2 - 13644*r\/5 - 156\/5.\nAnswer: 3*(r - 26)*(175*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.528 - 235.09.\nAnswer: -234.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceeeccccecccccec. Give prob of sequence ecc.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-274)\/(-308) - 1 - (83 + 32025\/(-385)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.36 + -1.36167. Round w to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {u: 2, n: 1, f: 1, w: 2, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 1)*(3\/2 - (-28)\/(-40)). Solve -12*q - d*p = -15*q, 4*q = 4*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + (3\/10 - 234\/180). Solve -h*b + 63 = 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/((-43)\/((-1032)\/(-24))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 6:50 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4288 and 37520?\nAnswer: 150080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09429174 rounded to 4 decimal places?\nAnswer: 0.0943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072811 is divided by 1014.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -3*q, -4*q = -2*y + 2 + 4. Let k be -1*(-4 - q) + 3. Suppose -14 = -k*h + 38. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356940\/17 or 20997?\nAnswer: 356940\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 393 - 393.2. Let k = 0.08 + 7.92. Sort k, z, 0.3 in decreasing order.\nAnswer: k, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -394. Let x = h + 284. Sort 0.3, 14\/5, 0.2, x.\nAnswer: x, 0.2, 0.3, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3924 + 3982 + (3 - 1 - 19).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.98 and -1830.\nAnswer: 3623.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50546079 and 220572?\nAnswer: 5013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.399138 millilitres?\nAnswer: 0.004399138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45564 is divided by 1897?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -80*((-7)\/(-10) - 1\/5). Let v be ((-4)\/10)\/(3\/15). Let h be (v\/(-4))\/((-4)\/k). Solve h*o - 4*o = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(20)\/sqrt(16) + 5 + sqrt(720)*2.\nAnswer: 5 + 49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 20*k**2 - 46*k - 35. Let r be j(-22). Let z(u) = 13*u - 113. Let s be z(r). Solve 5*t + s = -2*m, 3*t + 2*m + 4 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**19)\/v*v*v*v\/(v\/(v*v**(-5)))*v)**27)**(16\/7) assuming v is positive.\nAnswer: v**(-8640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.72 + 49.98. Let o = n - 57. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(735)\/sqrt(5) + (sqrt(15)\/sqrt(5)*3)**2.\nAnswer: 7*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20303 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 31 (b) -0.1 (c) -0.2 (d) 1498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12987.039 + -12979. Let f = j + -8. Let d = 0.16 + f. What is d rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 + (8 - 25) + (-3 - -1) + -36 + 46\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/28 - 9\/21. Sort g, 2, -1, -2 in decreasing order.\nAnswer: 2, g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u + 141*u - 2*w = -4, 0 = u - 3*w - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1634, -2, -1 in increasing order.\nAnswer: -2, -1, 1634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 21084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2321705 + 0?\nAnswer: 2321705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1\/6 (b) -3 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6761*i + 201*i**2 + 6761*i + (-5*i + 2*i + 4*i)*(-i + i + i) to w*i**2 + g + y*i and give w.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose 4*t - 81 = -5*d, 3*t + k*d - d - 52 = 0. Calculate the common denominator of ((-40)\/16)\/(t\/(-12)) and 65\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*o - 6. Let f be 8\/2*(-4)\/o. Let g = 1 + -1.1. Put 1\/9, g, f in decreasing order.\nAnswer: 1\/9, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92202884 is divided by 18440574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1226 - 5?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43695.7 and 1.1.\nAnswer: 48065.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) 1 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -s + 6*s + 2*m - 120, -2735 - 653 = 4*s - 700*m for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00135637 to five decimal places.\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 39*o + 42*o - 18*o + 0.\nAnswer: 63*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 15*l - 4. Let w = 35 - 34. Let j be (2 - -5)\/(-2 + w). What is the units digit of v(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/(g\/(g*g\/(g**(-8)*g)))*g**(-1\/3)\/(g**(-3)\/g*g) assuming g is positive.\nAnswer: g**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 - -1.3. Let n = o + 7. What is the second smallest value in n, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 139443009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1959392576.\nAnswer: 2, 127, 241067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 4\/5, -3.6, 3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let c(r) = 95*r**2 - 1. Determine c(l(d)).\nAnswer: 95*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1301\/28 + -271\/7. Suppose 0 = 2*s + 5*h - 1, 5*s - 5*h - 55 = 0. Do s and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37996*v**3 - 12667*v**3 - 12655*v**3 + 8 - 12658*v**3 - 8.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 101*v**3 - 2*v**2 - 237*v + 238. Calculate a(1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -1271\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 415967*g**3 - 41002*g?\nAnswer: 2495802*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/7 (b) -0.1 (c) -969 (d) 6 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036715 + 3.5866?\nAnswer: 3.549885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 616\/11 + 1560\/(-39).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 335 = 5*k, 6*h - 3*h - 207 = -3*k. Calculate the highest common factor of h and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60.7 + 0.3. Let g = o + -60.59. Let i = 0.84 - g. Round i to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y + 42. Let t be d(-8). Suppose 149 = -t*x + 715. List the prime factors of x.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 546 and 294.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*y**5 + 0*y**2 + 1\/6*y + 0*y**4 - 1\/3*y**3 + 0.\nAnswer: y*(y - 1)**2*(y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -131 (b) -14.9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-6))\/((-108)\/(-81)))\/10*52.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -48. Let x = 22 - m. Solve -3*i - 13 = 5*s - 33, -x*i = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -138333*b**5\/4 + 19*b**4\/24 - 2*b**3\/3 + b**2 - 13*b. Let r be j(-4). What is r rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 5. Let y(o) = o**3 - 9*o**2 - 10. Let q be y(t). Let h = 47 + q. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3 + 160*z**2 - 1105*z - 2890 = 0?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18 + 0 - (4 + 3). Let x(h) = -36*h**2 - 10*h - h**3 + 2*h**3 + 26*h**2 + 0*h**3 - 5. Calculate x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 115*u**3 + 179*u**3 - 2*u**2 - 3 - 69*u**3. Let i(j) = 11*j**3 + 5*j**2 + 4*j + 7. Give -3*i(l) - 7*s(l).\nAnswer: 2*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 21*v + 146. Determine r(6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122140 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27613.4 + -27613. Which is the fifth smallest value? (a) m (b) -2\/3 (c) 3 (d) 79 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2497 + 340 + 202)*(-6*w + 3*w + w)*(1 + 3 - 1)*(5 + 0 - 1) to g + p*w and give p.\nAnswer: -72936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Suppose -3*w + a*d = -13 + 33, 5*d - 25 = -4*w. Suppose w*j + 840 = 8*j. List the prime factors of j.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 740309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a factor of 883007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 853 - 846. Solve -4*x = s - y, 15 = -5*s + x + 4*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/3 + 1259838*w**2 + 595193770234*w - 8928001041610\/3 = 0. What is w?\nAnswer: -944881, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -10916, 3, 2.4?\nAnswer: -10916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-12) + 123\/18. Calculate the common denominator of ((-174)\/(-64))\/(1\/(-4)) and 20\/3*z\/5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -19 (b) -2\/7 (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 5. What is the remainder when 8 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014771662 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z**2 + 2*z. Calculate the smallest common multiple of y(1) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291424371 rounded to the nearest 1000000?\nAnswer: -291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*p**2*z**2 + 821*p**2*z - 3*p**2 + 198*p*z**2 + 60*z**2 - 442*z wrt z.\nAnswer: 34*p**2 + 396*p + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 divided by -17318.\nAnswer: -456\/8659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 4*n + 24 + 5 - 9.\nAnswer: n + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97099779131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*r*v - a**2*v - 2*a*v**3 + 263*r*v**3 - 17*v**3 wrt r.\nAnswer: a**2*v + 263*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2423?\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c + 19 + 96 = -5*x + 72*c, 2*x + 254 = 42*c for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -15*o**3 - 175*o**2 - 260*o - 100 = 0.\nAnswer: -10, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(30))\/sqrt(10) + 2 + sqrt(36)\/(-2*sqrt(24)\/sqrt(2)) + -2)**2.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78041458 is divided by 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14281*q**3 - 9518?\nAnswer: -42843*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 218*s**2 - 5446*s - 111. What is h(25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i + 1. Let d(o) = 2*o**3 + 4*o**2 - 2*o. Let q(u) = -d(u) - 3*n(u). Let c be q(3). Solve -t = -c*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/21)\/(r*r**(-2\/11))*r*r*((r\/(r*r**(-11)\/r))\/r)\/r*r*r**2 assuming r is positive.\nAnswer: r**(3298\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 - 3. Which is the biggest value? (a) t (b) 1\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197279 - -197284. Let i be (0 + -3)*35\/(-3). Calculate the greatest common factor of i and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 21*x**3 - 124*x**2 - 276*x - 208.\nAnswer: -(x + 2)**2*(x + 4)*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432332 - 1?\nAnswer: -432333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 426*k - 179*k + 5 - 206*k to a + d*k and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*d + 68, 4*d + 4 = 2*h - 8. Suppose -8 = 10*y - h*y. Solve 0*z = -5*x - 2*z + 9, -3*x - y*z + 7 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37130924755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -38. Which is the closest to 1? (a) k (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 + -189. Let v(o) = -177*o**n + 2*o + 188*o**2 - 4*o + 2*o. Let a(j) = j. Calculate v(a(p)).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(1\/8))\/a*a**(-1\/6)*a)\/(a**(-7)\/a**(2\/9))*((a**6\/a)\/a*a)\/a**(-7)*((a*(a**(-2)\/a)\/a)\/a)**(-17) assuming a is positive.\nAnswer: a**(6403\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -706 - -707. What are the prime factors of (f - -70)\/(-1)*(-95)\/5?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1559663.3916367 and 4.\nAnswer: -1559659.3916367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 121\/7. What is the third smallest value in u, 6, 0, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from wwwpwwwwwwwwwpwpwwpp?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n)**(2\/17)*(n**(-1))**41)\/(n**(-8)*n*((n\/((n\/((n\/(n*(n\/n**1)\/n)*n)\/n))\/n))\/n)\/n)**(-46) assuming n is positive.\nAnswer: n**(-363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o**2 + 4*o + 1 - 2*o**4 - 6*o**2 - 7*o**2 to q*o**2 + v*o**4 + s*o**3 + y + f*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-220))\/(96\/(-2640)*-25).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b4 (base 14) to base 6\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 - (-146 - -53 - -40)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81691*o**5 - 2*o**2 - 73340 wrt o?\nAnswer: 4901460*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(77) - sqrt(77)))\/(sqrt(70)\/(sqrt(20)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*(-33)\/9)\/(1\/(39*-29)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s - 16*s + 25*s)*(13 - 13 + 19).\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (1 + 18\/(-22)). Let p be (-3)\/5 - (-172)\/120. Put p, 2\/3, i in ascending order.\nAnswer: i, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -1670?\nAnswer: -1666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/6975 - -138109\/13950. Let t = 272261019\/20 - 13609879. Let i = t + -3169. Calculate the common denominator of l and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -2618\nAnswer: 785.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izi when three letters picked without replacement from zziii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1053531500 divided by -263382875.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339215 is divided by 30833.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19979670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.0161012 rounded to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 59560*h - 59556.\nAnswer: -4*(h + 1)*(h + 14889)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-14)\/(-46)) + (-236)\/(-826). Let y(o) = -56*o + 42. Let q(u) = 19*u - 16. Let t(a) = d*y(a) - 8*q(a). What is t(2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168868 to the power of 1\/2, to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:57 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**3 + 12*b**2 - 2*b - 7. Is q(-5) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164.5 - -222. Let x = m + -80. Round x to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 1 + 2*r**2 + 4*r - 11*r**2 + 7*r**2 - 2*r**2.\nAnswer: -4*r**2 + 4*r - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31926 and 123930?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 7*o**2 - 6*o + 27. What is x(-9)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-60))\/((-4)\/10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (1*-3)\/(2 - 654\/324)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 26*s - 37, 3*f + 3*s + 83 = -28 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w, -2*r + 4*w - 1 = r. Solve -5 = 5*v + r*s + 10, -4 = 2*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3422 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 618 - 255. Solve 6*h + 369 - p = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a + y - 21, 5*a - 3*y = 0. Let t be 1\/7*-26 + (10 - 6). Factor -t*i**a + 2\/7*i**2 + 2\/7*i - 2\/7.\nAnswer: -2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26520 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 52 = -34. What is the lowest common multiple of v and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 - 6 = 0. Let s(i) be the second derivative of -2*i + 1\/3*i**m + 0 - 1\/10*i**5 + 0*i**2 + 0*i**4. Find p, given that s(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*h - 454*h - 489*h)*(0 + 2 - 3 + 1 + 1 - 3 + (4 - 2 + 0)*(2 - 1 - 2)).\nAnswer: 3904*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/3 + 7*r**2\/3 - 74*r\/3 - 56 = 0. Calculate r.\nAnswer: -12, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211202101 - 22?\nAnswer: 11211202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/39 and -55\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 119326 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 185926440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -56, -72, -106, -164, -252, -376?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -380219 - -380206.80038. Let v = 12.2 + d. What is v rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.17 + 7.1149. Let j = n + 0.0551471. What is j rounded to 6 decimal places?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*-1*(-1)\/(-2). Let o(u) = -3*u + 1. Let a be o(3). Let t be (a\/4)\/((-3)\/6). Solve i - 23 = 5*g, t*i - 2*g - 21 + n = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*y + y - 21, -4*y = -2*j + 16. Suppose -2*w + j = -42. Is 33 a factor of (-12 + 47)*w\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.127 * 2267.07\nAnswer: -287.91789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 8*b**2 - 10*b - 6. Let o be (4 - (-1 + 5)) + 1 + -10. Let u be n(o). Solve -5*m + 0*q - 10 = 4*q, u*m = -4*q - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.02068 plus -2091?\nAnswer: -2098.02068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 48, -2 in descending order.\nAnswer: 48, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13141\/2 + 6570. Let l = 87 - 259\/3. Let c = d + l. What is the closest to 0 in 0.04, -0.1, c?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Let a = 2.5 - w. Let d be (-30)\/(-4080)*-2056 - -15. Put -1, a, d in decreasing order.\nAnswer: d, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 77 - 6) + 4. Let d = 72 - o. Let t(j) = -3*j**2 + 2*j - 1. Let q(k) = -k**2 + k + 1. What is d*q(f) - t(f)?\nAnswer: f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2447 and 697?\nAnswer: 1705559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {i: 1, x: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 147 (b) 0 (c) 0.06 (d) -0.2 (e) 951\/52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, s: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*b + 7196 = -64*b + 175*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110717 is divided by 2149?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(2*i - 4*i + 3*i) - 4*i + 0*i + 5*i + (3 + i - 3)*(-5 + 5 - 3) - 8 - i + 8 - 2*i + 4*i + 0*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -2*d**3\/27 - 26*d**2\/9 + 112*d\/9 - 182. What is f in u(f) = 0?\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 31, 4, -0.5, 0.7, 119?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = 0, 2*k = 4*u - 0*k - 20. Let l(v) = 2*v + 13. List the prime factors of l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(-6)*-18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -1\/30*w**6 + 5\/4*w**4 + 0*w**2 + 4 - 1\/5*w**5 + 21*w - 1\/6*w**3. Find the third derivative of y(r) wrt r.\nAnswer: -24*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60*(1768\/(-102))\/(-26).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 2012*d + 1084*d**3 + 2606*d - 598*d**3 wrt d?\nAnswer: 2916*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269 - 1150 + 2*j**3 + 37.\nAnswer: 2*j**3 - 1382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227923 at least as big as 7227921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b86 (base 13) to base 15\nAnswer: 8b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y + 16. What is the derivative of -4 + 1 + 0*h - y*h + 7 wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 914056*i - 104437296392.\nAnswer: -2*(i + 228514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002623111 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(2\/22*220\/40*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -152. Determine q so that f*q - 1\/4 + 3\/4*q**4 - 2*q**3 + 3\/2*q**2 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 2058 = -73*b. What is the greatest common divisor of 1344 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248455 is divided by 3067?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/51*(-3)\/((-6)\/(-5))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**2 + 6*w - 9. Calculate n(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 802685238 to the power of 1\/2, to the nearest integer?\nAnswer: 28332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -41709*v**3 + 0 + 4*v**2 - 24959*v**3 + 0. Let m be x(3). What is m rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*o + 6*o + 27*o)*((2 - 1 + 1)*(-o - 3*o + 6*o) + 0 + 0 - o).\nAnswer: 162*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 26*s**2 + 67*s**2 - 1 - 13*s - 89*s**2. Let o(f) = -3*f**2 + 9*f + 1. Calculate -5*c(t) - 7*o(t).\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - -54685?\nAnswer: 54684.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 3. Let s(c) = 4*c + 3. Let x be s(-2). Let w(m) = -2*m - 2. Suppose 5*t + 4*d = t - 32, -2*d - 19 = 3*t. What is t*h(a) + x*w(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(3\/22))\/f)\/f**(-16))\/(f**(15\/8)*f*f*(f\/(f\/(f\/((((f\/(f**(-3\/7)\/f)*f)\/f)\/f)\/f*f))))\/f))**(10\/3) assuming f is positive.\nAnswer: f**(13775\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0*n**2 + 2*n + 0 - 2\/3*n**3. Let d(h) = 9*h**2. Determine v(d(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m. Let o = -9599\/27149 - -1\/1597. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 2, g: 1, c: 4, r: 10}. Give prob of picking 1 g, 1 r, and 1 n.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -5 (b) -1.2 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g - 769 = 4*c, 5*g = -2*c - 407. Let t = 198 + c. Solve -t = -3*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/15 - 76*h\/5 + 2166\/5 = 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(648) - sqrt(648))*-5 - 5*(sqrt(882) + -1 - sqrt(882))) + 2)**2.\nAnswer: 3780*sqrt(2) + 145849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:35 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -763*v**2 + 9160*v - 8. What is the remainder when 2\/(-8) - 634\/(-8) is divided by s(12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*a - 4*b - 12, -a = -4*b + 5. Let g = a + 21. Suppose 3759 = 3*s + 4*f, 0*s + g*f = 2*s - 2506. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -s, -5*s - 22 - 4 = -z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 3. Let z(i) = -121*i**2 + 2*i + 827. Calculate z(t(q)).\nAnswer: -484*q**2 - 1456*q - 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4429*k + 4371*k + 406 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - -1) + (7 - ((3 - 4) + -3 + 18)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*b + 6*b. Let o(h) = -18*h - 2. Let v be o(b). Suppose 45 = -0*t + t - 2*d, -v = -2*t + 2*d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/3407635 and -49\/22044?\nAnswer: 40891620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/3 + 43600*x**3 + 2484478*x**2\/3 = 0. Calculate x.\nAnswer: -65381, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 - 2*s - 3. Let i be k(-3). Suppose 3070 = -7*g + i*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**2. Let p(q) be the second derivative of -19*q**4\/12 + 175*q - 1. Determine p(v(m)).\nAnswer: -931*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132242, -132148, -132048, -131942?\nAnswer: -131830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1213471 - -1213466.9999936. Let d = p + 4. Round d to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmmmddw. Give prob of picking 2 d.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o**2 + 60*o**2 + 54*o**2 + 50*o**2 + 55*o**2 - 284*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 + 140455*r**3 + 2526235*r**2 - 9404875*r - 11790660 = 0. Calculate r.\nAnswer: -28073, -21, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q**2 + 6*q + 6*q - 12*q**2 + 50*q**2.\nAnswer: 60*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 - -228. Let h(y) = 8*y**2 - 5*y - 30. Let r be h(s). Calculate the greatest common divisor of 177 and r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u - 31640006 = 2*z, -u - 5*z - 7910015 = 0. Round u to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + (-35)\/(-3). Suppose 0 = -3*j - l, 0 = -5*y - 3*j - 2*j. Suppose 4 = -y*k, -2*k + 7*k - 43 = -4*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.4665464 rounded to 2 decimal places?\nAnswer: -36.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z - 56. Let x be a(8). Suppose -2*h = 4*v - 0*h + 2323990, x = -3*v - 2*h - 1742990. What is v rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -6. Let x be ((-3)\/2)\/(4\/m). Solve x + 5 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 38 - (-182 - -158)) + (-15 - 1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 23, 30, 41, 56?\n\"Answer: 2*s**2 - 3*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-10))\/(1\/(-5)). Calculate the remainder when 16\/(-6)*(-21)\/c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 3*p**2 + 3*p - 3. Determine y(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53*(3 - -5 - (-2 + 13 + -4))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13118624 - 41776.\nAnswer: 13076848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21944 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/87 and -81\/122.\nAnswer: 10614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 5. Let o = -10 - -15. What is the remainder when x is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 71440824.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 204, 202, 200, 198, 196, 194?\n\"Answer: -2*j + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 118995?\nAnswer: -118989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j - 69*j + 2302 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 6:49 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -2. Suppose -8 = -4*m - 4*o - 0*o, -4*o = 0. Solve -m = -2*x - u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/765*6)\/((-382)\/(-955))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - 306*k**2 - 321*k + 71. Let d be a(154). Is -1936 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) -3196 (d) 2\/21 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40216 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - m - 4)*(-2 - 2*m + 9 + m).\nAnswer: m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23032 (base 4) to base 9.\nAnswer: -877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 11*d. Let g(t) = -185722*t. Calculate g(u(r)).\nAnswer: 371444*r**2 + 2042942*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*-4 + 1. Let o = 0.144 - -0.156. Sort -0.5, u, o.\nAnswer: u, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**2 + 1\/12*s**4 - 1\/3*s**3 - 1 + 0*s. What is h(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2035 - 1194. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, 85, 4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101110021011 + -222011?\nAnswer: -101111020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 minus 119.0007632?\nAnswer: -122.6007632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*v**4 - 875*v**3 - 440*v**2 - 60*v.\nAnswer: -5*v*(v + 3)*(7*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000022121210 - 21?\nAnswer: -10000022122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - 2.07. Let f = 1.9 + x. Let r be 0 + 2 - (-7)\/(-4). What is the closest to f in r, -1\/6, -4\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 17. Let v = s - 4. Let r(q) = q**3 - 2*q**2 - 3*q + 2. What is the units digit of r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235756 and 19907?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-5) - 2)*8022295\/(-27 - 16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -23*n. Suppose 3*r = 2*i + 16, -3*r = -r - 3*i - 19. Let o(q) = 5*q**2 + r*q**2 - 2*q**2 - 6*q**2. Give g(o(l)).\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*j**2 - 84*j**2 + 13*j**2 + (-j - 4*j + 4*j)*(1 - 1 - 2*j) + j**2 - 3*j + 3*j)*(-3 + 1 + 4).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c)**(-2\/3)*c*c*c**(-13)*c**(-2\/3) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13367094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 y, and 1 p when three letters picked without replacement from {k: 4, n: 3, y: 3, p: 3}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1654 and -131\/636790.\nAnswer: 636790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/3 + 2\/(-3). Suppose -5*m - g + 38 = 0. Suppose 4 + m = 5*i. 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 the third root of 2599690 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 2*y - 1. Let d be k(-3). Let q(a) = a**3 + a - 2. Let s(n) = 3*n**3 + 3*n - 5. Let w = -8 - -3. Let h = 16 + w. Give d*s(z) + h*q(z).\nAnswer: -z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4113, 8244, 12375?\nAnswer: 16506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 83. Let c = 38 + v. Suppose 0 = -i + 4*i - c. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(4 + 215\/(-55)). Is 26\/v - 1575\/(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/3*-21 + -4. What is the first derivative of 31*s - o*s - 13*s**2 - 9 wrt s?\nAnswer: -26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.795 - 0.205. Sort b, 0.5, -2\/17 in decreasing order.\nAnswer: 0.5, -2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5 + 25. Let d(v) = -4*v + 2. Let a be d(s). Let i be a\/14 + 28\/(-98). Put 2, 3, i in ascending order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 + -591.\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 48*i + 32 - 16)*(-3146 + 3146 - 62*i**3) as s*i**4 + h + u*i + t*i**3 + r*i**2 and give s.\nAnswer: -2976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + 1001000?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 4, 5, -24, 11 in descending order.\nAnswer: 11, 8, 5, 4, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x**2 + 81*x - 61. Calculate v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104452*w**2 + 79266*w wrt w.\nAnswer: -208904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 69.4 * -0.04\nAnswer: -2.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12614683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*i - 35, -3*h + 19 = -3*i - 11. Let f(k) = -21 - 21 - 3*k + 43. Calculate f(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515156 is divided by 1060.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*n - 146*n = -134*n - 1320 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - g + 9, -2*s + 5*g + 15 = -0. Suppose 3*o - 18 = -5*r, -8*r = -4*o - 9*r + 7. Put s, o, 4 in increasing order.\nAnswer: o, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8191114*h*n*p**2 + 2*h*p**3 + h*p + 3*n*p**3 - 3754958*n - 2*p**3 wrt h.\nAnswer: -8191114*n*p**2 + 2*p**3 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -165 times -4141\nAnswer: 683265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 8 - 16)*(-4 + g + 4).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, 644, 2741, 6944, 13955, 24476, 39209, 58856?\nAnswer: 84119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 10, 16, 22?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 17*i**2 + 7*i - 9. Let j be o(-8). Let r(k) = -4*k**2 + 2*k + 4. Let d(f) = -1. Determine j*r(b) - 5*d(b).\nAnswer: 4*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Suppose 5*x + 11 = -4*t, -4*t - n*x = 1 + 7. Sort t, 3, -2 in descending order.\nAnswer: 3, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -850319982 divided by 587.\nAnswer: -1448586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*377503.\nAnswer: 1887515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/429 and -44\/331695.\nAnswer: 3648645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let b = -1 - p. Let k = b - -1.9. Is k at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.034 + -1.034. Let a = 2 + -2. What is the third biggest value in 0.5, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -572.6 + 573. What is the nearest to 2 in -2\/7, l, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58260752409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 27*o**2 - 241*o - 419. Give x(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -152550 - 0?\nAnswer: -152550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 21*b**2 - 84*b - 1198. Is c(-12) a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26217, 26220, 26223?\nAnswer: 26226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12301 divided by 10\nAnswer: -12301\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**2)\/l)**(-45)\/(l\/((l*l\/(((l**3*l)\/l)\/l))\/l))**50 assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*n - 408*n = 4*g + 4, -4*n = -5*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + d)*(7181*d**2 - 7181*d**2 + 10*d**3 + (-4*d + 3*d + 2*d)*(5*d - 5*d - 2*d**2) + 2 - 4*d**3 - 2).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*b*g**3*z**3 + 2*b*g**2*z**3 + b*g**2 - 1398*b*z + 12723*g**4*z**3 - 18*g**2*z wrt g?\nAnswer: 324*b*z**3 + 305352*g*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/(-12 + 3526\/205)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 1*sqrt(1900) + 4)**2*5*5*-5.\nAnswer: 80000*sqrt(19) + 982000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44000 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-10)\/35)\/(34*(-9)\/(-2142)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -97. Sort r, 0.1, -18 in increasing order.\nAnswer: -18, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3366767 and -0.1.\nAnswer: 0.23366767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -379*v. Let t(x) be the second derivative of -x**4\/12 - 67*x. Calculate t(z(y)).\nAnswer: -143641*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 31*c + 86. Let d be r(-3). Suppose d*z - 11 = -u, 3*u + 23 = 7*u + z. Solve u*w + 4*l + 22 = 0, -3*w - l - 7 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 + 5*s + 6. Let p be l(-4). Let x be 1\/(-3) + 10\/p. What is the third smallest value in 0.5, -0.3, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 37466979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x. Let z be h(-1). Let g = 11 - 17. Let r = z + g. What is r rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12296 - 5461. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -199 - -1587\/8. Suppose 3*h + 6 = 3*j, -3 + 1 = -2*j. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 s, and 1 d when three letters picked without replacement from mmdmmdsmmsmmsmm?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1509)\/(-3018)*(-6)\/69.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -44 - 171. Suppose 0 = 4*t - b + 59. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 309 - 55. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkigghkjjk. What is prob of picking 2 j, 1 i, and 1 g?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5679194 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2091.3843918 to the nearest ten.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjfrrjjorrjjf. Give prob of picking 2 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-4))\/((-1)\/4). Suppose 5*r - 48 = -d*r. Determine n, given that 4*n**3 + 16*n + 35*n**4 + 30*n**2 - 9*n**5 - 11*n**5 - 78*n**2 + 13*n**r = 0.\nAnswer: -1, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428918, -1715660, -3860222, -6862604, -10722806?\nAnswer: -15440828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223013331 (base 4) in base 8?\nAnswer: 2530775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose -v - v + 8 = c. Suppose -5*h - 3*r + 14 = 0, -13 = 6*h - 7*h - v*r. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3*c + 6. Let d = -75 + 79. Let u be x(d). Solve 0 = r - u + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*r - 4*a, 8 = 2*a. List the prime factors of r\/8*118*(-4)\/3.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1065 - 650. Differentiate -25*n**4 - k*n**2 + 822*n**2 - 23 - 407*n**2 with respect to n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1582b (base 14) to base 5\nAnswer: 3204433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 2*y = 31*j + 7*j + 155, 3*j - 5*y + 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4405.808 centimeters to kilometers.\nAnswer: 0.04405808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -k - 779, -d + 363 = 2*k - 19. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 times -1\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 440?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + 0.26. Suppose p + p + 8 = 0. Let n = 5 + p. What is the closest to n in c, 2, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 19 = 4*b, 2*n - n + 4*b = 21. Let y(t) = t**3 - 3*t**2 - t - 9. Let s be y(4). What is the first derivative of -k + s*k - k + n wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 7, v: 1, d: 1, x: 2, y: 2}. What is prob of sequence ii?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**3 + 78*n**2 + 505*n + 13. Calculate m(-8).\nAnswer: -1595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -26*g - 107 + 28*g + 1067 - g**3 + g**2 + 11. Is c(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 143270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748928, 748790, 748412, 747674, 746456, 744638, 742100, 738722?\nAnswer: 734384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (777 - 817) + 4 + 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 10*y**2 - 17*y + 20. Calculate the remainder when 167 is divided by x(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174 - 1220\/7. Let r be (-2)\/4 - (-2)\/(-28). What is the third smallest value in r, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185402 divided by -4522.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t + 1. Let w be d(-4). Suppose -w = -3*g - 9. Suppose -i - 8 = -g. Is -5 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**4\/4 - 5*f**3\/6 - 3*f**2. Find the first derivative of i(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(165)\/(sqrt(54)\/sqrt(2)))\/((sqrt(5) + sqrt(55)\/(2*sqrt(11)))*5).\nAnswer: -4 + 2*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let j(r) = -64144 + 64144 + 33*r. Calculate j(i(h)).\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i. Let v(k) = -21*k. Let x = -23 + 12. Let p(t) = 4*t. Let q(w) = x*p(w) - 2*v(w). Calculate q(j(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12257.51186 - 24016.\nAnswer: -36273.51186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2. Let z(c) = 5*c - 3. Let f(g) = g - 1. Let i(w) = -3*f(w) + z(w). What is b(i(k))?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 8*r + 6*r = -94, -3*x + 56 = r. Solve -15*b + x*b + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -s - 4*s - 3*g, -4*s - 2*g + 196 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -47. Let u(h) be the second derivative of -1\/4*h**4 + 6\/5*h**5 - h**3 - 1\/2*h**6 + 3*h + 0 + k*h**2. Factor u(x).\nAnswer: -3*x*(x - 1)**2*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 18. Let r be 16\/(-6) + 2 - 214\/(-6). Suppose 3*m - 17 = -0*p - p, 0 = -3*p - m + r. Does 8 divide z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - j**2 - 3*j. Let g(s) = s**3 - s**2 - 2*s. Let a(t) = 3*t + 3. Let v be a(-7). Let r = 14 + v. Let k = -13 + 19. Give k*g(x) + r*w(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6705*t**2 + 6679*t**2 + 6687*t**2 - 20071*t**2 + 146*t**3.\nAnswer: 146*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -9, -60, -183, -408, -765?\n\"Answer: -5*r**3 + 9*r**2 - r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8740)\/253)\/(-38) - (-64)\/(-22) - 25.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 2065 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619846382?\nAnswer: 2, 309923191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 2*p**3\/3 + 29*p**2\/2 - p. Calculate d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/16 + 9\/12. Let a(s) = -246000*s. Let c be a(v). What is c rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27522770.\nAnswer: 2, 5, 11, 151, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 5952 in descending order.\nAnswer: 5952, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 22 - 29) + (-2 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248965680 to the power of 1\/2, to the nearest integer?\nAnswer: 15779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 3. Let u be (-15)\/35 + (0 - 24\/(-7)). Let t(n) = -3*n - 2. Let j(g) = u*t(g) + 2*q(g). Let l(o) = 25*o. Calculate j(l(z)).\nAnswer: -75*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 153*g - 3520. Determine a(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v - 4. Let h(o) = 13*o - 19. What is the smallest common multiple of h(3) and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from syskvynkkyskskyy?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 12*g**2 + 18*g - 10. Calculate y(12).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7638 or 7670?\nAnswer: 7638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9715812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*2*5\/(-15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + ((-56)\/(-10))\/(28\/(-70)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-425401)\/(-3) - (-10 - (-341)\/33). What is g rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 361 + 1110. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/20*(-600)\/96*1\/1*-9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1082, 1083, 1084?\n\"Answer: m + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*u - 39*u + 14*u + 3*u - 2*u + u + (5 - 3 + 0)*(-u + u + 2*u) - 2*u + 1 - 1)*(-3 + 2 + 5)*(4*u - 2*u + u).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -15*s**4\/2 + s**3\/3 + s**2 + s - 12. What is the remainder when 56 is divided by v(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 2. Suppose 3*l - 5 = i. Let s(n) = 2*n - 3*n**l + 65 - 65 - n**3. Calculate s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let x be h(-4). List the prime factors of -39*3\/(-18)*x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.7753 + 54231?\nAnswer: 54216.2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 4. Let n be m(0). Suppose n*f = -3*u + 2655, 3571 = u + 3*u - 5*f. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2742, -2348, -1702, -810, 322, 1688, 3282, 5098?\n\"Answer: -m**3 + 132*m**2 + 5*m - 2878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/90 - (8\/60 + 1). Let y(h) = h**2 + 7*h + 8. Let w be y(-6). What is the units digit of (r\/w - -1)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28145351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqik when four letters picked without replacement from {w: 2, b: 1, q: 6, i: 2, k: 1}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-26) - 1) + 506\/299. Let v(g) = -7*g + 5. Let i(p) = -8*p + 5. Determine q*i(t) - 3*v(t).\nAnswer: 5*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -6\/11 (b) 1 (c) 5 (d) -57 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 + 6*j**3 - 31*j**3 - 3*j**3 + 10*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2536.7*-0.08.\nAnswer: -202.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 15. Let t(q) = -2 - h*q + 2 + 4*q - 2. Calculate t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -186*z**2. Let m(f) = -170*f. Give m(g(y)).\nAnswer: 31620*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 294*w**2 + 5004*w - 2576.\nAnswer: 2*(w + 28)*(w + 46)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 11*q - 36. Determine u(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttututttttt.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = k - 409. Suppose 4*h + w = 7512, -2*w = 4*h - k - 7119. Let j = 2948 - h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145 - 162)*((1 - 5) + 3 + 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*b - z - 4, 0 = -2*b - z - 1. Suppose b = -4*v + 56. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1424 - 4?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 8820\nAnswer: -5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1573*w + 5 - 3.\nAnswer: -1573*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*p**4 + 2*n**3*p**2 - 1609*n**2*p**6 + 127*p**2 wrt p?\nAnswer: 24*n**3*p - 193080*n**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1437)\/(-479)*1\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/20 - (-6)\/(-15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01628532 to 5 dps.\nAnswer: 0.01629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 10 + 2, 3*c - 50 = -2*q. What is the remainder when 52 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 155610988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40722203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2 = -2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3100 + -145688\/47. Calculate the common denominator of -73\/8 and p.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525491907?\nAnswer: 3, 175163969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -1.4. Let n = -3 + 0. What is the nearest to o in -3\/10, 1\/3, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5755*n - 35*n**2 + 16*n**2 - 3179*n**4 + 922*n**4 + 17*n**2 wrt n.\nAnswer: -27084*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821699 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -171.2694\nAnswer: 172.2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from gvvtvtgytt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 165 or -3?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/3588)\/(4 + 330\/(-80)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + r**2 - 2*r**2 + (0*r + 2*r - 3*r)*(41*r - 6*r - 108*r) to v + a*r + d*r**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((129\/(-1505))\/3)\/((12\/20)\/1).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(-2\/3))\/i))**(-17))**(3\/14)\/((i**(-7)*i*i)\/i**3)**(-34) assuming i is positive.\nAnswer: i**(-3893\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*-59\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 2*h + 4 + 2 + 8*h**2 + 9*h - h**3. Let f be k(7). Suppose -5*p + 106 - f = 0. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4 - 2) + -28 + 23 + -16.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:43 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -57\/1178065 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1058, 4206, 9464, 16838, 26334, 37958, 51716, 67614?\n\"Answer: m**3 + 1049*m**2 - 6*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - a - 1 = -10, 2*p - a - 11 = 0. Suppose -5 = 2*x + 2*x + s, -3*x = p*s + 20. Let r be ((-2)\/(-4))\/(1\/4). Solve r = -x*y + 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46.63 + -1.13. Let y = o - 45. Which is the closest to 0? (a) y (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 5*o**2 + 4*o - 1. Let p be r(-4). List the prime factors of 17\/p*(0 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 - 136*n**3\/3 + 2024*n**2 - 84640*n\/3 - 194672\/3.\nAnswer: (n - 46)**3*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-282)\/(-9) - (-2)\/(-6). Let h = 61 - k. Let b be (-22)\/55*h\/(-2). Solve -b = 2*n + n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-63)\/(-21) - (-40)\/(-15). Let r(k) be the first derivative of 2\/3*k + n*k**4 + 8\/9*k**3 + 10\/9*k**2 + 2\/45*k**5 + 5. Factor r(j).\nAnswer: 2*(j + 1)**3*(j + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4 + 20 + 80*n + 0.\nAnswer: 80*n + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4494 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21841358.\nAnswer: 2, 7, 11, 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.948*314.\nAnswer: -925.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (0 - -2) - 10904. Round k to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29861657*m**5 - m**2 - 34550934*m.\nAnswer: -1791699420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/10 + 2\/5 - -162003. Round v to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 15 = 24*d. Let w(p) = -2*p**3 - 9*p**2 + 6*p + 9. Let f be w(d). Solve f*s + 2*u = 26, -5*u + 3*u - 14 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18*h**3. Calculate f(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 218 - 4628 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 + 31604*h**3 - 54869202*h**2 - 109833224*h - 54932416 = 0. Calculate h.\nAnswer: -1, 1988, 13816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**5 + 4*i**5 - 6*i**5)*(2 + 1 - 5).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 9 + 3\/2*r**2 + 0*r - 1\/6*r**3. Factor p(u).\nAnswer: -u*(u - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 4*s - 11*s)*(-2*s + 274*s**2 + 3*s - 200*s**2) to p + c*s**3 + m*s + q*s**2 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*j**2 - 12*j**3 - 32*j**2.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3576113705 to the power of 1\/3, to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(968) - (2 + 1 + sqrt(968))) + ((sqrt(16)\/sqrt(2) - sqrt(8))**2 + 2 - sqrt(8))*5)*3 + -3.\nAnswer: -45 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/18)\/(((-22)\/88)\/(30\/(-8)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -113.54. Let o = i + 3.8. Let u = o + -0.2599918. What is u rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1475878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (57\/76)\/(3\/8). Suppose -2 = -c*h + 2. Sort 0, 4, h in descending order.\nAnswer: 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10607112 or -10607109?\nAnswer: -10607112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 5*m. Let a = -38 + 43. Let f be n(a). Let 12*s**3 + 3*s**2 + 13*s**4 + 3*s**4 - 7*s**2 + f*s**2 = 0. Calculate s.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 9, y: 4}. What is prob of picking 1 x and 1 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152768*w**4 + w**3 + 76392*w**4 + 3*w + w**2 - w**3 + 76383*w**4 - 2 to the form p + i*w**4 + b*w**3 + x*w + r*w**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98820.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 7. Find the common denominator of -37\/2 and f + -8 + 206\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z - 20*z**5 - z - 8*z - 2*z wrt z?\nAnswer: -400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-2)\/4)*(-3 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y*y*y*y**1*y)\/y))\/y**(-6)*(y\/(y**1\/y))**(27\/5))\/(y*((y\/(y*y**(-6)))\/y)\/y*y*y*y**5*y*y*y*y*y**(-4\/5)\/y*y**(3\/5)) assuming y is positive.\nAnswer: y**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 16*v + 31*v**2 + 0 + 4 + 6 - 9 - 27*v**2 as c*v + w*v**4 + g*v**2 + z + n*v**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66.73658 litres?\nAnswer: 66736.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -5428\/5 and -1087 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -731*q**2 + 8*q + 45. Let h(u) = 365*u**2 - 5*u - 25. What is 9*h(w) + 5*z(w)?\nAnswer: -370*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -37863 (c) -6 (d) 23 (e) 2\/5 (f) 2\/11 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 + 2*f**2 + 3*f - 2. Let p be q(-3). Suppose 2*a - p = -5. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:47 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 1.97714.\nAnswer: -13.83998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3199 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1122 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/8)\/h**11)**46 assuming h is positive.\nAnswer: h**(-1955\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3510 at most as big as -3509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.207 - -2.278. Let c = y + -0.071. Sort -6, 1\/6, c in descending order.\nAnswer: 1\/6, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/14 and 116\/(-6)*(-118)\/(-3776)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234498 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 711 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*i*w**3*x**2 + i*w**2 + 2*i*w*x**2 + i*x**2 - 53*w**3 wrt x?\nAnswer: 28*i*w**3*x + 4*i*w*x + 2*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 8*z**2 + 13*z + 8. Suppose x + 16 = -3*k, -3*k + 3*x = -k + 18. Let w be d(k). Put w, 0, 1 in decreasing order.\nAnswer: w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -21*d. Let a(j) = 95*j + 1. Give a(k(v)).\nAnswer: -1995*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3919047 to the power of 1\/2, to the nearest integer?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**4 + 0 + 0*x**5 + 3*x**2 + 1\/600*x**6 - 1\/1050*x**7 + 0*x + 0*x**3. What is o in k(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 28 + 250 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2099\/9 + -233. Do y and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/60 + 13*o**2. Let z(y) = -3*y**2. Calculate z(i(b)).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7324*j + 36 + 43*j**5 + 5*j**4 + 5*j**2 - 7324*j wrt j.\nAnswer: 2580*j**2 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/5 and -1\/8605480?\nAnswer: 8605480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.04 + -0.04. Let a = -10 + 16. Let g be (a\/(-14))\/(21\/14). What is the biggest value in r, g, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80.0956+5716\nAnswer: 5796.0956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + t + 60 = 0, 5*t + 8 = -r + 3*t. Let i(a) = a**2 + 16*a - 6. Let w be i(r). What is the remainder when w\/9*186\/(-4) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 98\/5 > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*f = -2 - 6, -2*f = s - 6. Let k be ((-30)\/1)\/(s\/9). Suppose k = 4*w - 141. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437, -933, -1429, -1925, -2421?\nAnswer: -2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4*24\/208.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*t**3 + 15*t**2 + 2011*t.\nAnswer: 258*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -2, -21, 3.\nAnswer: -21, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Let c(p) = -6*p - 3. Let i = 6 - 9. Let j be c(i). Solve j = q*u - 2*s - s, 5*u = -3*s + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5488.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -39882 + -19639.6915\nAnswer: -59521.6915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 4*s + 30, -10*x - s = -61089 + 61064 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 360. Suppose 3*x = 124*s - 126*s + 155, -7 = -0*x + x. What is the greatest common factor of k and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d. Solve d = -4*l, -2*j - l = -7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - l + 2*l + (-2 + 0 + 1)*(2*l + 3*l - 3*l) + l + 5*l - 4*l - 3 - 4*l + 2*l + l.\nAnswer: -3*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39768, -79526, -119258, -158952, -198596?\nAnswer: -238178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -11*d + 6*d. Let x = -41 - -75. Let u be (-68)\/12 + 5 - x\/d. Solve 4*w - 4*k = -5*k + 16, u*w + 4*k - 31 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-32)*(131 + -7).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -32.\nAnswer: -32, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = g - c + 9, 0 = -c - 3. Let k(h) = 5*h - 26. Let t be k(5). Let u(q) = -8*q**3 + q**2 - 6*q - 6. Let b(f) = f**3 + f + 1. What is g*b(m) + t*u(m)?\nAnswer: 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*z - 8 = 0, -8*z + 3*z = c + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-66)\/(-44))\/((17\/4)\/((-1)\/(-2))))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 - 6)*4\/((-96)\/(-9)). Suppose b*a + 9*a - 4728 = 0. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -11*n**7\/210 - n**3\/2 - 6*n**2. Differentiate t(h) wrt h.\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*m - 63*m + 241*m)*(4 - 3 + 1).\nAnswer: 286*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 10. Suppose 0 = 214*x - 232*x + 72. Solve -o = x*g, 2*g + 22 = 3*s - 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(12)*2*-4 - (sqrt(12) + sqrt(132)\/sqrt(176))) + -4 + (-2 + sqrt(363) + -1)*-6)**2.\nAnswer: -1690*sqrt(3) + 86083\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-1 + 1\/(-2)). Does 20 divide ((-40)\/(-1))\/(w\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*h + 71 = -0*h + h + 26, -5*c + 67 = -7*h for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0231093 and 42.7358.\nAnswer: 42.7126907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9329567 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 438 (b) 2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 187?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 1. Let o(j) = 2*j - 3. Let z(d) = 3*l(d) - o(d). Determine z(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 37*o + 523. Let l be h(-48). Sort l, 24, 14.\nAnswer: l, 14, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/b**(11\/5)*b)\/b)\/b**(-8) assuming b is positive.\nAnswer: b**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 2. Let d be 1\/((-1)\/(-10)) - -1. Let c(l) = -6*l - 10. Let f = -10 + 28. Suppose 0 = 14*t - f*t - 8. What is d*x(v) + t*c(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262.86 + 5.14. Let h = f - 376. Let a = h + 108.037. Round a to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 12, r: 7, o: 1}. Give prob of sequence rfrr.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, p: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14005.3809 hours in weeks?\nAnswer: 83.3653625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35680 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 32 - 30 - 38 + m**2 + 35 - m. Let o(n) = -3*n. Let z be -2 - -1*(1 + 2). Calculate z*o(j) - 2*r(j).\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1302 - -1399. Solve -2*k + c = 95 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17*m + 3. Suppose 2*h - 14 = -2. Let o be t(h). What is the highest common factor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o + 100. Let r be b(-7). What is the highest common divisor of 60 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**2 - 8*o - 5. Let u(s) = s**2 + 1. Let x(n) = -j(n) - 5*u(n). Find the second derivative of x(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255213*b**3 - 127598*b**3 + 16*b - 3*b - 127603*b**3 - 11*b - 2*b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)\/((-560)\/240). Which is the biggest value? (a) 1\/4 (b) p (c) 0 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*c**4 - 3*c**3 + 4*c**2 + 81*c - 84*c + 4*c**3 - 3*c**2 to the form a*c**4 + q + o*c + i*c**2 + n*c**3 and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 + 2*y. Let k(p) = 6*p**3 + 3*p**2 + 8*p - 2. Let o(s) = -k(s) + 3*l(s). Determine o(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 75, 0.3, 2, -559, -5, -1\/4?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*h - h. Let f = h - -24. Calculate the smallest common multiple of 8 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 8*q - 7. Let c be z(-9). Find the second derivative of 4*o**3 + c*o**3 - 2*o**3 + 2*o wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8 = -5*q, 4*n + 3*q - 8 = 4. Let f(h) = h - 3 + n*h + 2*h - 3. Let k be f(4). Solve 5*o + 4*p - k = 0, 0*p = -3*o - 4*p + 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011111 + 1010101111?\nAnswer: 11011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + ((-9 - -9)\/(4 - 2) - -8337) a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = -z - 0*z, 0 = 3*y + 5*z + 6. Let w = -1 - y. Let q = 2184 + -2183.6. What is the biggest value in w, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoeeezzerezofr. Give prob of picking 2 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*g + 134 = g, -3*p + 2*g - 106 = 0. Let w be -14*((-4)\/34 + 47\/p). Let o = 208 + -61. What is the greatest common factor of o and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.3, -0.04, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 4 = -4*t + p, 0 = 5*t + 5*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 - 23649*m**2\/2 + 46618089*m\/2 - 46594443\/2.\nAnswer: 3*(m - 3941)**2*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 453, 448, 441, 432, 421?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2312230322 (base 4) in base 13?\nAnswer: -202811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*t = 14814, 4*v + 3*t = -2*t + 29688. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 95, 138, 219, 350, 543, 810, 1163?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 360, 352, 332, 294, 232, 140?\n\"Answer: -v**3 - v + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/250 + 11\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1148631 to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1028, -4016, -8990, -15944, -24872?\n\"Answer: s**3 - 999*s**2 + 2*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 8*m**2 + m - 5. Suppose 5*p - 10 = 0, -2*q - p = 2*q - 34. Let t be i(q). Suppose t*k - 220 = -k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 115103071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 23954 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 139 + 329 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7760385*b**4 - 218*b + 184?\nAnswer: 93124620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 + 8*f + 37. Let k(j) = -5*j**2 - 3*j - 19. Let q(m) = 4*g(m) + 7*k(m). Let x be q(-10). Solve -11*h + x*h = 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**9\/1008 + l**8\/280 - l**6\/60 + l**5\/40 - 2*l**3\/3 + 27*l + 67. Let s(z) be the third derivative of o(z). Factor s(m).\nAnswer: -3*m*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -3084430380557\nAnswer: -3084430380556.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 84*j + 45 + 266*j as y*j + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 0.5 (c) -375509 (d) -3 (e) 0.2 (f) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4531, -4506, -4469, -4420, -4359, -4286?\nAnswer: -4201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, j: 7, s: 2, q: 1}. What is prob of sequence hh?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 4*b**2 + 9*b - 12. Let p be r(-6). Let j(a) = -8*a**2 - a - 5. Let y(u) = 15*u**2 + 2*u + 9. Let v(n) = p*y(n) + 11*j(n). Give v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3358962?\nAnswer: 2, 3, 17, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 5*j**2 + 2. Let d(g) = 2*g**3 + g**2 + g + 1. Give -2*d(f) + q(f).\nAnswer: -2*f**3 + 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 54 = -45. Let v be o\/9 + 25\/(-15). Solve -v*x + 20 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 673\/3*(3 + 6). Suppose 14*t - 963 = u. Is 30 a factor of (-6)\/(-33) + 140\/(-44) + t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -131941 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, c: 6}. What is prob of picking 2 k and 1 c?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:35 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/45658 and -77\/3774.\nAnswer: 2328558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:28 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71\/6 + 1219\/102. Let q = -0.06 + -0.44. What is the closest to 0.1 in k, 0.5, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u - 60 = 5*j, 2*j + 2*u + 24 = 0. Sort -2\/7, j, -0.5, -2 in descending order.\nAnswer: -2\/7, -0.5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 16.6. What is l rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -92. Suppose 4*y - 16 = q, -y - 4 = 2*d - 2. Let v be (2\/(-3))\/(1\/3). Is d at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 5:47 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 - 117 = 5*r. Suppose -37 = -2*m + l, -3*l = 3*m - 66 - 12. Calculate the remainder when m is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 11*x**2 - 11*x - 9. Let f be j(-10). Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 132570077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 5, -4.711, 1, 3\/8 in ascending order.\nAnswer: -4.711, -2\/3, 3\/8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:53 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/9 (c) -0.4340635\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42537 is divided by 3631?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:33 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 12*c**2 - 778*c + 89. What is the tens digit of g(76)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*c**2*p - 4*c*p + 6*c - 620*p + 1 with respect to c.\nAnswer: -34*c*p - 4*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v**2 - 3*v - 26. Let m(i) = -3*i**2 - i - 10. Calculate 3*g(b) - 8*m(b).\nAnswer: -6*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -338, -712, -1222, -1862, -2626, -3508?\nAnswer: -4502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/105 + 1\/(-4).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -0.5, -1, 0.2, -0.13, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 34956?\nAnswer: -174780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035809856 to 7 decimal places.\nAnswer: -0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 8) to base 11\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 68 = 4*g, -2*i = -2*g - 2*g + 72. Suppose -g*y = -4*y - 180. Calculate the remainder when 36 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (4 + 29 + -6 - -6)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-31 - (-3)\/(-3)). Let o = b - 21. Round o to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 89 = 4*p, 0 = -3*p + 3*y - 4*y + 67. Let t(j) = 33*j**2 - 15*j**2 - p*j**2. Let b(q) = -9*q**2. Give b(t(c)).\nAnswer: -144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12207 - 12206. Which is the closest to 3\/14? (a) n (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 8. What is the remainder when 29 is divided by (-12)\/w + -3 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, w: 5, n: 3}. Give prob of sequence ngwg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511783*t**3 - 255835*t**3 - 255946*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + 2.2. Suppose 67*a = 50 - 26 + 43. Let p = -0.4 + 0.2. What is the closest to p in q, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(17) + 4 + sqrt(1377)) + 1*sqrt(17) + sqrt(17) + 0 + 4*-5*sqrt(17) + 4)**2.\nAnswer: 33136*sqrt(17) + 813684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 6, v: 4, e: 7, l: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from crccccrcc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4 = 0, 0 = i - 2*k - 1 - 4. Suppose 21 = -2*h + 21, 5*h = 4*m - 36. Solve i*a - m = 0, 3*j - 3*a - a + 18 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x - 117. Let a be 6\/10 + x\/(-65). Let g be (a + -3 - -5) + 2. Solve 3*h - g*h - 5*t = 29, 3*t = 5*h + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tta when three letters picked without replacement from aatjauasaajuusuaaudd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1860 and 3160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11520 divided by -120.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**0*n*n)*n\/n**(-6))**(-2\/19) assuming n is positive.\nAnswer: n**(-14\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 1:07 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 - 127110*z**4 + 1795132152*z**3 - 8449088323104*z**2 - 16905358191744*z.\nAnswer: 3*z*(z - 14124)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 4 - 5) + (-1 - 10 - -55).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -5)*2\/(-19). Let l = 0.99 - 1. Let h = l - -4.01. Which is the closest to -0.1? (a) h (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*n - 163, n - 3*n - 1839994*a + 132 = -1839990*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let n(p) = -2 - 3*p - p + 2*p - 2*p + 3*p. Let m(v) = v + 2. Give o*n(t) + 4*m(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-15) - 6278\/(-1290).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/12 - n**3\/2 + n**2 + n. Let z(r) = 48*r**2 - 1 - r**3 - 52*r**2 - 4. Let c be z(-4). Calculate u(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.193641 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/42)\/(2\/6). Let j be 4\/(-6)*42\/(-4). Suppose 4*p = -3*d - j, 2*d - p - 9 = 1. What is the third smallest value in -4, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - i. Let j(h) = 2*h**2 + 7*h + 1. Determine 2*j(q) + 14*n(q).\nAnswer: -10*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18815, -74831, -168049, -298469, -466091?\n\"Answer: -18601*s**2 - 213*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35011463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238644 is divided by 1491.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*f - 2 + 2 + 6 in the form b*f + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 684991192 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 22. Solve 4*f + 4 = -4*g, -b = g - 2*f - f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 - 135. Let c = 349 + a. Solve -c*v - 9 = 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/104*(-84)\/9)\/(-5)*-5.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(2\/7)*o**(-19)*o**(4\/5)\/(o*o*(o\/(o\/o**(-1\/2)*o*o))\/o*o*o) assuming o is positive.\nAnswer: o**(-1259\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 1 f when three letters picked without replacement from qtetttfpqbftttbte.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 3. Let h(x) = 5*x + 5. Let j(c) = 4*h(c) + 7*k(c). Determine j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 + 5. Let d = 0.2 - z. Let u(c) = c**2 + 10*c + 4. Let y be u(-9). Sort y, d, 5 in decreasing order.\nAnswer: 5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-30) + (-11372)\/24. Let d = v - -513. Calculate the remainder when d is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3081080565 rounded to the nearest one hundred thousand?\nAnswer: 3081100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 26 = -62, 2*u + 33*c = -71*c - 1246 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**3 + o**2 - 2*o + 1. Let c be w(1). Let v be 2 + ((-7)\/(-84) - 3) - (-1)\/6. Put 4, c, v, 0.4 in descending order.\nAnswer: 4, 0.4, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l - 28246684 + 28246684.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 835 and 81997.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 947*a**2 + 1251*a - 1492456. Determine x(-944).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311157 is divided by 103569.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-242)\/(-3280) - (-1822)\/(-72880)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343408629?\nAnswer: 17, 79024037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6578\/(-176) - 32\/(9472\/(-111)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123131 + -10542?\nAnswer: 112145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r - 2*r)*(1 + 1 - 3) + 6*r**3 + 1 - 1.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776864663?\nAnswer: 3, 7, 28204201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13877966 and -0.3.\nAnswer: -4163389.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4194*h + 4193*h - 64 + 21 = -4*j, -8*j + 4*h + 121 = -9*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10713229 and 0.295.\nAnswer: 10713229.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 8\/35 (b) 5 (c) 2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**2 - 123*f**3 - 17*f + 17*f + 8*f**2 + 11*f**2 to i*f**3 + x*f + v + w*f**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -57. Let h(c) = -3*c + 20. Does 25 divide h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/9 + 38\/(-171). Find the third derivative of -12*j**2 + 54*j**3 - 25*j**2 + 7*j**m - 9*j**2 wrt j.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 99691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**3 - 342*s**2 - 2*s + 2. Let d(a) = -3*a**3 + 340*a**2 + 3*a - 3. What is -2*d(x) - 3*p(x)?\nAnswer: -3*x**3 + 346*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -4*x + 5*r, 0 = 3*x - 224*r + 222*r - 92. Solve -x*p = -106 + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 259356, 259347, 259338, 259329?\n\"Answer: -9*b + 259365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - 2*x**2 - x**2 - 3*x**2 + 3*x**2 + (0 + 0 + 3*x)*(5*x - x - 5*x))*(x + 2 - 2 + 4*x + 53 - 53 + (1 - 2*x - 1)*(2 + 1 - 4)).\nAnswer: -42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 - 3. Suppose 6*o - g - 159 = o, g = 4*o - i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -16*p + 556. Let h be s(35). Which is the third smallest value? (a) h (b) 0.023 (c) 2\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 6.\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 25 = -2*u - l, 29 = 4*u + 5*l. Suppose -99 = -t - 0*t - 3*n, 0 = -3*t + 5*n + 297. What is the highest common factor of u and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 348.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12154.\nAnswer: 2, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (5739\/18)\/((-6)\/(-36)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281331, 1125293, 2531897, 4501143, 7033031?\nAnswer: 10127561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*a - 41*a + 20*a as g*a + o and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 + 0*f**3 + 13*f**3.\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2331 and -884.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 133274 (base 9) in base 2?\nAnswer: 10011110011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24863843396 take away -544?\nAnswer: -24863842852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -30.7\nAnswer: 28.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -9) + 4 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 5) in base 2?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 66, 75, 80?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 7 - 19*h + 6*h + 10*h - 3 - 9.\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 6*v**2 - 4*v - 2. Let l be y(5). Suppose l*j - 38 = 52. What is the greatest common factor of 75 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58761 is divided by 58748.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5062145?\nAnswer: 5, 11, 31, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1077 and 1078 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*y**2 - 16*y - 29 + 16*y**2 + 15*y in the form w*y + d + r*y**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u**3 - 4 + 4.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8167.032573932 minus -3?\nAnswer: -8164.032573932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u = -20. Suppose -u*p + 0*p - 70 = 0. Let k = p + 21. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**(-17))))\/d)\/d**(3\/16) assuming d is positive.\nAnswer: d**(269\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38511.21 milligrams in micrograms?\nAnswer: 38511210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 190*q + 185.\nAnswer: 5*(q + 1)*(q + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 + r - 1 - r - r + 5*r**3 + r**2. Let n(c) = c - 4. Suppose -4*t + 10 = 2. Let o be n(t). Calculate i(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h**2 - 16*h + 4. What is the least common multiple of a(2) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3\/4, 0.1479?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372*t**6 - 26*t**5 + 2*t**3 + 3*t**2 + 299*t - 6 wrt t.\nAnswer: -44640*t**3 - 1560*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Let o(h) = -194*h**2. Give o(w(y)).\nAnswer: -194*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -178826+2\nAnswer: -178824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/215)\/((-16)\/(-30))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33964667 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*c + 14 = -20, -4*r + c = -26. Let q = r - 6. Suppose q = 2*z - 3*z + 35. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9035 - 9194 = -24*d + 5*a, -2*d + 4*a = -110 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 62*x**5 + 5*x**2 - 56*x - 5. Let m(z) = -61*z**5 - 6*z**2 + 56*z + 6. Let a(t) = 6*c(t) + 5*m(t). What is the second derivative of a(l) wrt l?\nAnswer: 1340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-37 - 1) + 1 + -2. Let h = t - -76. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 33 = 3*l, 3*l + 0 = -5*z - 49. Let c(m) = -980 - 221*m**2 + 960 + 3*m - 11*m. Let u be c(z). What is u rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -827771 + 5?\nAnswer: -827765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 3*v**2 - v**2 + (3*v - v - 4*v)*(-2*v + 0*v + 0*v) + 12862*v + 1086*v**2 - 12862*v to the form a + j*v + r*v**2 and give r.\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -57*p**3 - 23*p. Let t be r(-11). Suppose 2*u - t = 40676. Suppose 2*j = -5*g - 109998, u = -2*g - j + 14399. Round g to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20245, 20141, 20037, 19933?\n\"Answer: -104*u + 20349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 4 - 10)*-253. Suppose -3*j + v = -0*z - 2*z, 2631 = -3*z - 4*j. Let o = z + 7061\/8. Calculate the common denominator of o and 91\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-4 + 3 - 1)*(-78*h + 43*h + 167*h).\nAnswer: 264*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + -2.03. Let w = o + 2.00002. Let f = w - 0. What is f rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose -3*x = k + x + 12, q*k - 6 = -2*x. Suppose j = 2*j - k. 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 next term in -40, -183, -568, -1315, -2544, -4375, -6928?\nAnswer: -10323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -278, -631, -1126, -1763, -2542, -3463?\n\"Answer: -71*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x - 25. Let p(f) = 9*f - 22. Let i(z) = -3*l(z) + 2*p(z). Let d be i(2). Put -6, 2, 0, d in decreasing order.\nAnswer: 2, d, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/1357770 and 67\/130?\nAnswer: 17651010","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 1. Let z(q) = -q - 1. Let u(j) = v(j) + 4*z(j). Let i be u(-3). Let t(k) = -k - 2. Calculate t(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Let m = b + 1. Suppose 4*q - m*s = 139, -3*q + 3*s = 5*s - 117. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 808360 + 4?\nAnswer: 808364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1932\/418 + -5 + 2\/19\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 180\/(-27)*12\/(-5). Suppose 3 = m - q. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-8\/9)\/y))**(-3\/5)*y**(4\/3)\/(y\/(y*y*y**(-7))))**(-26) assuming y is positive.\nAnswer: y**(832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 7327 + 7327.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16632 and 157745016.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 76*k**2 - 19*k**2 - 15*k**2.\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53, -105, -161, -221, -285, -353, -425?\n\"Answer: -2*v**2 - 46*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21058\/121 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*w**3 - 34174 - 719*w**3 + 34174.\nAnswer: -785*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540890877.\nAnswer: 3, 180296959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 15*c**2 - 15. Let x be u(12). Find the third derivative of -58*z**2 + 3 + x*z**4 - 1 - 417*z**4 + 27*z**6 wrt z.\nAnswer: 3240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 74995416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 46 + 16. Let o be (108\/n)\/((-3)\/(-140)). What is the highest common factor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 4 (c) -8.532 (d) 13 (e) -1\/12 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 5*z + 24)*(-1 + 0 - 1 + (-1 + 6 - 3)*(3 - 3 + 2)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-1326)\/(-2210)*4100\/(-56).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v - 844 = -493 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 540d3d7?\nAnswer: 540d3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*w + w + 487, 5*r - 3*w + 608 = 0. Let o = -33 - r. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/5)*g)**(1\/34))**38\/((((g*g**(-1\/3)*g)\/g)\/g)**(5\/18)*(g**2)**(12\/19)) assuming g is positive.\nAnswer: g**(131843\/87210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*r - 48549 + 45765 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**9\/(k\/(k*k**(2\/11))*k**(-1)))**(-18) assuming k is positive.\nAnswer: k**(1548\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 15*l**2 + 331*l - 4395. Give i(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1072554880 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h. Suppose h = -2*c - c - 39. Let k = -5 - c. Solve -4*o - 4*l + k = 0, -3*o + 2*l + 5 = -6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7))**24*r**(-9)*r**12 assuming r is positive.\nAnswer: r**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 70 + 7*q**2)*(q - q - 2*q)*(0 - 1 - 1).\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 263201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 13060?\nAnswer: 39180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27990385733\/3572 - 7836054. Let g = -5\/188 - j. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 185353, 185567, 185781, 185995, 186209?\n\"Answer: 214*d + 185139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - i + 3*i**3 + (3*i**2 + i**2 - 3*i**2)*(6*i + 0*i - 4*i) - 2*i**2 + i - i - 3*i**3 to o*i**2 + w + b*i**3 + h*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 - -0.06. Let p = 4\/3 - 2\/3. Sort p, 1, d in ascending order.\nAnswer: d, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -83389.\nAnswer: -166778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5445*v**2 + 2281*v - 2645*v - 5271*v wrt v?\nAnswer: -10890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/(-16) - -6)*2. Suppose 4*w = -2*y + 938, a*y + 1238 = 4*w + 335. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/28 + (-1187)\/(-28). Let q = c + -42. Find u, given that -q*u**3 + 1\/7 + 3\/7*u**2 - 3\/7*u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4141, 5709, 7277, 8845, 10413?\nAnswer: 11981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3\/7 - 320*q**2\/7 - 2256*q + 32832\/7 = 0. Calculate q.\nAnswer: -36, 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*u + 538*j - 537*j - 3, 2*u = -j + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3537, 5618, 7699, 9780?\nAnswer: 11861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.65703 litres?\nAnswer: 18657.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 25*j + 18. Suppose 3*l - 4*x = 90, 51*l - 40 = 49*l - 4*x. Determine n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3. Let b be i(-5). Suppose -4*q + q + b*o + 70 = 0, 4*q - 92 = 4*o. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*p**2 + 0*p - 1 + 227*p**2 - 117*p**2 - 2*p in the form w + o*p + q*p**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 316*o - 595*o + 318*o + 897 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 + 2*m - 2. Let h(r) = 2 - 2 + 1 - 4*r**2. Let s be h(1). Let t be g(s). Calculate the greatest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13c3b97 (base 14) to base 10\nAnswer: -9614521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*274.1068.\nAnswer: -54.82136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2544*h**2*m**2 + 409849*h**2*m - 2*h**2 - 6*h*m**2 + 6*m**2 - m - 2 wrt m.\nAnswer: -5088*h**2 - 12*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 - y + 1. Let b(i) = i**3 + 4*i**2 + 8*i - 3. Give -b(n) - 4*t(n).\nAnswer: 3*n**3 - 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**6 + 5*n**5*p + n**2*p + 9*n**2 - 2*p wrt n.\nAnswer: 360*n**3 + 300*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-10 + -7 + 15 + 0 + -24)) + 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 5*i + 26. Let n be k(5). Let g(u) = 7*u + 7. Suppose 6 = l + 9. Let c(q) = -q - 1. Let b(h) = l*g(h) + n*c(h). Determine b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 19 - 3, -o = 4*q - 194. What is the common denominator of (-174)\/77 - (-2 + (-64)\/(-28)) and -4 + 2\/8*o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001110110110100010 + -11100?\nAnswer: 11000001110110110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59390 + 59390 - 66*b**3)*(-b + 3*b - 4*b)*(0 - 2 - 11 + (2 - 1 + 1)*(5 - 1 - 2)).\nAnswer: -1188*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -27. Let f(h) = 8*h**3 - 6*h**2 + 3*h - 6. Let k(t) = -9*t**3 + 7*t**2 - 3*t + 7. Determine s*f(j) - 6*k(j).\nAnswer: -2*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*z**2 + 124*z**3 - 120*z**2 - 118*z**2 to a*z**2 + t*z + l + p*z**3 and give p.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 1148\/(-56) - (-1)\/((-22)\/(-29))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -213.328 and 2.9.\nAnswer: -210.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-12) - -2)\/((-3)\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/4 less than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c - 5, 4*k = -c + 13. Solve -1 = -2*q - 3*z - 2, -4*q + k*z - 29 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 272 - -2*(-2 - (-21)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + r - 1. Let c(f) = -5*f**2 - 2*f + 2. Let h(y) = c(y) + 2*j(y). Let s(b) = 12*b**2. What is h(s(x))?\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 1, g: 1, a: 1, y: 1, j: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33885*z + 20087*z - 6432*z**2 + 22837*z wrt z.\nAnswer: -12864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -1)*1)**2*-2.\nAnswer: -602 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*d + 226656, -d + 5*n = -27802 - 47730. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7688*m**3 + 9*m**2 + 3*m + 4. Let p be l(-3). Round p to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4501 - 832687\/185. Let x = r + -529\/2405. Let b be 32\/128 + (-2)\/8. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/9151080 and -38\/1143885.\nAnswer: 9151080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 478371838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 132. Let n(w) = 126*w**2 + 194. What is l(n(q))?\nAnswer: -252*q**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/30*-2*3\/(-11)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**6\/300 + a**5\/50 + a**4\/30 - 2*a**2 - 4. Let t(z) be the second derivative of r(z). Factor t(f).\nAnswer: 2*f*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 196 = 3*p, 3*p = 5*p + 6. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 - 18852*x**2\/7 - 28504872*x\/7 - 10037375920\/7.\nAnswer: 2*(x - 10790)*(x + 682)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 13244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 95281062 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 16*v**2 - 15*v + 8. Let y be x(-15). Differentiate 15 - y + 12 + 14*u**4 - 9*u**4 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10070844 is divided by 2517707?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2868 + 2869 - 209*j + 2869 - 3*j**2 - 8608.\nAnswer: -3*j**2 - 209*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105510 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/5 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = 3*w - 38, 3*f - w - 35 = 0. Solve -4*c + m + 29 = 14, -2*m + f = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-1) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 4*r**2 + 2991*r - 2993*r - 4*r**3 in the form t*r**2 + a + w*r**3 + i*r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:57 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 10*v**2 + 5*v + 13 - 2*v**3 - 6*v - 11*v. What is the tens digit of l(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.401636 weeks to nanoseconds.\nAnswer: 2662109452800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u**3 + 7*u**2 + 3. Let p(j) = -j**2 + 1. Let m(k) = -p(k) - y(k). Let a(w) = -4*w**3 - 2*w**2 - 1. Calculate -7*a(h) + 2*m(h).\nAnswer: 2*h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + -64. Let x = z - -347. Let v be (-1)\/(-3) + x\/6. What is v rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*w + w. Let n(o) = -o + 5. Let m be n(3). Suppose -m*p + p - 4*r = -25, 0 = -2*p - 4*r + w. 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(h) = -703893*h + 16893438. Determine p(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/13 + 4820590*k**2\/13 - 38564848*k\/13 = 0. Calculate k.\nAnswer: -2410303, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n + 28*n + 1 - 4*n**3 in the form a*n**2 + i*n**3 + l*n + m and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7738 - -4565. Let p = -57085\/18 - b. Find the common denominator of p and 55\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 619 - 623.94. Let k = -0.06 + v. Let p = 0.00492 - 0.40492. Which is the fourth smallest value? (a) p (b) k (c) 1\/3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(525) + 2*sqrt(525)))\/((sqrt(33) + (sqrt(99)*1)\/sqrt(3))\/sqrt(11)))**2.\nAnswer: 14175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frfrvazj. What is prob of picking 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19))*2 + sqrt(95)\/(sqrt(5) + sqrt(180)))**2.\nAnswer: 60*sqrt(19)\/7 + 4471\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 8*y**2 - 7*y - 5. Suppose -5*k + 11 = 3*a, 4*a + 0*a - k - 30 = 0. Let z be l(a). Let f(x) = -x**3 - 4*x**2 + 4*x - 2. Determine f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -492.933 and 6863.71.\nAnswer: 6370.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 23. Let r = 21 + j. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3)*-2*-1)**2*-5 + 1 + 1 + 1 + sqrt(6912) + 4 + 1.\nAnswer: -48 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*f + 344 - 51 = -319 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.474 - -0.026. Let v = q - 14.4878. Round v to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 852113386 - 852113354.00000068. Let o = 0.005 + 31.995. Let z = y - o. What is z rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4154707 by 25489.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 12*x + 21*x - 6*x + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -0.0199?\nAnswer: 0.6801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, 666, 220, -638, -2046?\nAnswer: -4142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12062263?\nAnswer: 587, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t + 3*t + 4*t + 7*t as c + j*t and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 3*g**3 - g**4 - 112*g + 38 + 36 + 33 + 37 - 145 as j*g + d*g**3 + h*g**2 + b*g**4 + u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*a - 77*a + 322*a + 13965 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289350 and 2775.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 17}. What is prob of picking 4 o?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 24 = 4*n - 26, -4*s - 11 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-416)\/(-30) + (-10)\/(-75). What is the highest common divisor of n and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -3 (b) 2\/15 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12232133 (base 4) to base 5\nAnswer: 1340201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 a when four letters picked without replacement from asaassaasaa?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7397977*n**3 - 2410*n - 6025. Let o(g) = -12289*g**3 + 4*g + 10. Give 1205*o(j) + 2*s(j).\nAnswer: -12291*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/1158 and -7\/55005.\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 1\/3, 3\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p + 1861 = 20293. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (3 - (11 + -4)). Calculate the least common multiple of (-1 + 11\/w)\/(12\/(-128)) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1*84\/(-4)*2\/(-6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -59*u**2 - u - 11. Let x(y) = 118*y**2 + 2*y + 26. What is -7*w(j) - 3*x(j)?\nAnswer: 59*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1708 = -2*h, -7*x = -3*x + h - 3411. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgd when three letters picked without replacement from {g: 7, d: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -19*t**4\/12 + t**3\/6 + t. Let d be o(1). Let f = d - -25. What is the remainder when 20 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129473, 258936, 388389, 517826, 647241, 776628, 905981, 1035294?\nAnswer: 1164561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1339*n - 6674. Determine i(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206752857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g. Let p(r) = -1141*r - 321 - 2204*r + 321 + 1017*r. Determine p(q(w)).\nAnswer: 6984*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -855, -5547, -17317, -39399, -75027, -127435, -199857, -295527?\nAnswer: -417679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 + -3.3. Let w = q - -1.5015. Round w to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 4, -1, -4, 257\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-3)\/(-9))\/(28\/(-63)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 9 - 1. Let a = w - -8. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 7. Let w(p) be the first derivative of p**2 - 10*p - 1. Let m be w(8). What is the units digit of u(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 749 - -511. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:05 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.458 to 0 dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -8 - -3 - 2) + 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971 equal to 1973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 7*s - 2*s + 790, -2*r = -2*s - 394. Let d = r - 282. Let v = d - -158. List the prime factors of v.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 60 = -8*r. Let v be (50\/8 - -1) + 5\/r. Let x(p) = -p + 5. Calculate x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from sspphrssrhrs?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 + 4*t**2 + 4*t**2.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 6:46 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/31, -2\/3, 0.3 in ascending order.\nAnswer: -26\/31, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 + 64 + 4*u**2)*(179 - 308 + 219)*(-2*u - u + 0*u) as y*u**3 + n*u + c*u**2 + g and give y.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/40 - 1153*a**4\/24 + 4486*a. Find o such that m(o) = 0.\nAnswer: -1153, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -21*n**2 + 14. Let g(h) = -4*h**2 + 3. What is 14*g(z) - 3*k(z)?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1400)\/770*15675\/228.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 1 + 1 + (2*t + 4 - 4)*(-7 + 8 - 25) to the form p + b*t and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaiauaaiuauiu. What is prob of sequence uiaa?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2093*h**3 - h**2 + 66*h - 63. What is w(1)?\nAnswer: -2091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1*1\/(-1). Suppose a*u + u = -o + 115, u = o + 33. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2 - 0) + 3 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s. Let y = -74 + 75. Suppose -5 = v - 3*i + y, 4*i = 2*v + 6. Let k(b) = -5*b + 1. Determine v*o(d) + 2*k(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 710*c**4 - 2293 with respect to c.\nAnswer: 2840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1657656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4567 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484 - 253. What is the highest common divisor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtl when three letters picked without replacement from {w: 1, z: 1, m: 5, t: 6, r: 4, l: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 113*n - 344. What are the prime factors of c(38)?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 2. Let h be g(3). Suppose 3*w - h + 5 = 0. Suppose k - 4*c = c + 63, -5*k + w*c = -210. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 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 seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 349962.5 millilitres in litres?\nAnswer: 349.9625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5 - 152*j**4 + 1332*j**3 - 1024*j**2 - 1330*j + 1176 = 0. Calculate j.\nAnswer: -84, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1, -0.9, -5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let v be 2 + 0 + x + 1. Let y be (-2)\/2 + 5 - -1. Solve -k + g - y = -0*g, -20 = -v*k - 4*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1951\/5 + -390. Let r = 0.44 - 0.54. Which is the closest to r? (a) -1\/7 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.06689792?\nAnswer: -0.06689792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.6 - 12.18. Let l = k + 0.28. Which is the third biggest value? (a) 1\/3 (b) -5 (c) 1\/4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67563169 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 2992 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -760 divided by -190?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/6)\/(51\/(-2)). Let y be (-64)\/30 - (-700)\/875 - (-1)\/3. Which is bigger: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, j: 1, s: 2, z: 2, y: 4, a: 1}. What is prob of picking 1 j and 2 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -2*r - 31, -27*w + 24*w + 35 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 113. Let d = n + 53.1. Let q = d + -6.2. What is q rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 1818\/(-6))*(-91)\/21 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3543*q + 2404*q**2 - 3537*q + 7080*q in the form d*q + s*q**2 + a and give s.\nAnswer: 2404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-6)*r)\/r)\/r*r**1*r*r**(3\/7)*r*r*r*r**(-3\/7))\/((r**(-2\/5)*r**3)\/(r*r**(-2)*r**1)) assuming r is positive.\nAnswer: r**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -g - 3, o + 3*o + 5*g = 21. Let r = -7 + 3. Let f be 2\/r*(1 - 5). Solve -2*l = f*z - o, -6*z + z - 3*l = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let v(s) be the first derivative of -s**4\/12 - 16*s**2 - 127*s + 142. Let y(r) be the first derivative of v(r). Determine x(y(a)).\nAnswer: 2*a**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*z**2 - 12351985*z - 15439950.\nAnswer: -5*(z + 617598)*(4*z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + r = -35, -36*z - 2*r - 6 = -34*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c (base 13) to base 7.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4392 and 1100610.\nAnswer: 268548840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.73*210.71\nAnswer: -996.6583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 + 3277519\/665 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 37, 2\/7, 1, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.212 + -10.212. Let b = -10 + 7. Put b, -0.2, f, 0.2 in ascending order.\nAnswer: f, b, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234878 divided by -715?\nAnswer: 1234878\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 d when three letters picked without replacement from {t: 1, d: 5, z: 2, l: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 22*w**2 - 16*w + 32. Let g(r) = 5*r**3 + 111*r**2 + 79*r - 159. Let m(a) = 2*g(a) + 11*n(a). Is m(-19) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 140184?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 533640, 4269042, 14407992, 34152264, 66703632?\nAnswer: 115263870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 3*j**2 + 52 + 81*j - 84*j.\nAnswer: -3*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11716405568\/18915 + 8052528\/13. Let c = j - -2\/1455. Find z, given that -3\/5*z - c*z**2 + 6\/5 + 3\/5*z**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3636, 887, -3688, -10083, -18292, -28309, -40128?\nAnswer: -53743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3978 and 373371?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + 121689773596.\nAnswer: 121689773474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 3*t - 6*j - 21, 2*t = j + 2. Let a be (1\/(-2))\/((-3)\/6). Solve t = -z - a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -55*b**3 - b**2 - 3*b - 3. Let s be w(-1). Let o = -52 + s. Suppose 3*z + r + 43 = 4*z, 0 = o*r - 4. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 11684?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2073284.\nAnswer: 2, 587, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.818 in 0.2, -5, 2, -0.03, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1606 = -5*d - 5*q, -2*q - 1592 = -3*d. What is the greatest common divisor of d and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -36 + 234. Suppose 0 = t*q - 4383 - 215. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74299 and 4775.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.055635 - 1.9.\nAnswer: -1.844365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*g + h + h, 2*g + 9 = -3*h. Solve 74*k + g = 77*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1963 + -0.1037. What is the closest to -0.81 in 1\/3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*x + 3 - 0, 3*c - 9 = -x. Let d = -9 + 16. Let p = 3 - d. Sort c, -3, p.\nAnswer: p, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 13703452*g + 234730745895380.\nAnswer: (g + 34258630)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 0*t + 3*t)*(-5 + 1 + 1)*(-84 - 140 + 146) as h*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -1. Let p = -7 - d. Let m be (-58)\/18 - (-74)\/333. Which is the second smallest value? (a) p (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, -29, -191, -509, -1037, -1829, -2939, -4421?\nAnswer: -6329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, n: 2, t: 9}. What is prob of sequence aa?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = -30*r + 32*r, -5*r = -15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13003230 - -1?\nAnswer: 13003231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -188\/1039 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**5 - 45*k**2 - 31*k**5 - 26*k**2 - 18*k**5 wrt k.\nAnswer: -2400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(90\/34008)*(-225)\/15. Calculate the highest common factor of 312 and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - (34 + -49)) + (-4 - -2 - -15).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(800)*-2 + -4.\nAnswer: -40*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (205\/(-15))\/41*(-243)\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 415055100 and 456560610.\nAnswer: 4565606100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*l + 77*l - 18*l)*(-4*l**3 - 16*l**3 - 3*l**3) - 14*l - l**4 + 14*l + 1.\nAnswer: -2968*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1609209 and 127\/410?\nAnswer: 16092090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12*4\/(-6)*2770\/23545?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3 - 36 + 24*b**2 - 151*b**2 - 36 wrt b?\nAnswer: -3*b**2 - 254*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5685390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6208190*i**2. Let l(b) = 4*b. What is l(d(w))?\nAnswer: 24832760*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205500 and 3288.\nAnswer: 411000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285110 or -285215?\nAnswer: -285215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5\/4))**20\/(t*t**(-24)*t**(21\/8)\/t))**(-22) assuming t is positive.\nAnswer: t**(-5841\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*y + 1431 = -40*y + 987 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -25. Let t be ((-1)\/(-1))\/((-28)\/21 - -3). What is the smallest value in o, t, 1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1 + 0 + 7*r + 4.\nAnswer: 7*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0327193138986 + 0.\nAnswer: 0.0327193138986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-105)\/(-30) - (-2)\/(-4). Let x = q + 8. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (405\/(-216))\/((-81)\/(-864))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*r - 82. Let u(c) = -c**2 - 8*c + 52. Let s be u(r). Suppose -3 = -3*q - s*j, q + 3*j - 4 = -3. Which is smaller: q or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -860 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*x = -2040. Suppose 3*o - 5*r = x, -8*r + 192 = 3*o - 9*r. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 1:59 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 79*v**2 - 21*v - 141. Let b be l(39). What is the highest common factor of b and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 48?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 6*a**2 - 8*a - 5. Let i be g(-7). Suppose i*n - 74 = 5*u - 2*u, 3*n + 3*u = 111. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 481 - 475. Calculate the least common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g + 1. Let o(f) = 2*f**3 - 23*f**2 - 6*f - 110. Let a(z) = 6*i(z) + o(z). What is the first derivative of a(c) wrt c?\nAnswer: 6*c**2 - 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-1\/23)*(d**(-1\/5)\/d)\/d*(d**(-7)*d*d*d)\/d*d assuming d is positive.\nAnswer: d**(-711\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8809 + -b6?\nAnswer: -8903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 53 + 10 = -3*a, -5*f + 25 = 0. Calculate the least common multiple of 16 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 981 * 0.1\nAnswer: 98.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/7 + 1495*j**3 + 36498429*j**2\/7 + 42398980443*j\/7 - 84944038338\/7 = 0.\nAnswer: -3489, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100605621 rounded to five decimal places?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-16)*c**(-2\/11)*(c*c\/(c*c**(-4\/3)*c))**(-7\/4) assuming c is positive.\nAnswer: c**(478\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411\/(-6)*(28 - 30)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:17 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1)*(-3 + 8). Let i(y) = -4*y**2 - 1 + 0*y - y + y**2 + b*y**2. Let l(w) = w**2 - w - 1. Determine -i(j) + l(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 94\/31 (b) 1477 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158698, 158682, 158666, 158650, 158634?\nAnswer: 158618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236420 divided by 13.\nAnswer: -236420\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, q: 3, s: 1, n: 3, l: 3, f: 1}. What is prob of sequence fnsg?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -147e5 + 39?\nAnswer: -147ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*j = 0, 2*r + 1 = -0*r - 3*j. Suppose 12*l = 13*l - 15. Which is the fourth biggest value? (a) r (b) 5 (c) l (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1379555.8 + -0.80815\nAnswer: 1379554.99185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1610 and 322?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 12:18 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*m - 4626 = 149*m + f, 0 = -m - 2*f + 912. Calculate the highest common divisor of m and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 523403?\nAnswer: -523405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 50*t + 4. Let p be s(4). Suppose -2*j = 2*j - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 - (1 + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1991, -1989, -1987, -1985, -1983, -1981?\n\"Answer: 2*f - 1993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1173 or -99\/95?\nAnswer: -99\/95","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/1375 + 11546\/1375. Calculate the common denominator of -41\/9 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.112 and 153.599?\nAnswer: -17.203088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**1*l))**(2\/55)*(l**2)**19 assuming l is positive.\nAnswer: l**(2086\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + (-4 + ((sqrt(128) + -2)**2 - sqrt(128)) - (sqrt(128) + (sqrt(128) + (sqrt(128) - 4*1*sqrt(128)))**2)))*-5 + -2.\nAnswer: 240*sqrt(2) + 1893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9300, -18603, -27906?\n\"Answer: -9303*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 608357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -4*y - 6, -2*y = 3*s - 1. Let h = 0 - y. Is -2\/11 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 982990291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**2*u**3*z**2 + 17*p**2*u**2*z + 7*p**2*u**2 + 1478*p*u**3*z**2 - 2*u**2 + 2*z**2 wrt u.\nAnswer: -12*p**2*z**2 + 8868*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d = -11578 + 14434 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 259*v**2 - 122*v**2 - 1 + 1 - 138*v**2. Let y(b) = 60*b**2 + 21. What is y(d(p))?\nAnswer: 60*p**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 8*k - 5. Suppose 0 = -2*y + c + 10, 4*y = 9*c - 12*c + 40. Determine f(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n = 530. Let z = n + -28. Let v = 125 - z. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.56429 millilitres to litres.\nAnswer: 0.00056429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37107, -74205, -111301, -148395, -185487?\nAnswer: -222577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fodc when four letters picked without replacement from ddocfdcfcd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecbeceebeeecec. What is prob of sequence bc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s. Suppose -t + u + 2*u + 10 = 0, s = -t + u + 8. Let i = 25 - t. Solve -i = -4*c - 2*j - 3*j, -5*j = -10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2890 + -130. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 184774 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-1)*3\/3. Suppose j*r = 4*k + 628, 2*k - 188 - 288 = -3*r. Let g = r + -1102\/7. Sort g, -1\/4, 2 in decreasing order.\nAnswer: 2, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630) - (2*sqrt(630)*-1 - sqrt(630)))\/(-5*sqrt(50)\/sqrt(5)) - ((sqrt(9072))**2 + 1 + -6*(-6*sqrt(63) + sqrt(63) + sqrt(63))).\nAnswer: -9073 - 372*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20515, 352, -22?\nAnswer: 20515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 2*a**2 - 2*a + 3. What are the prime factors of y(4)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + k**5 - 3*k**4 + 5*k**4 - 4*k**3 + 2*k**5 + 4*k**3 + (4*k - k - 2*k)*(-2*k**3 + 2*k**4 + 2*k**3).\nAnswer: 5*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11620 + 16345. Suppose -24*d + l = 11*d. Find p such that 5\/3*p**2 - 30*p + d = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.17402 hours to milliseconds.\nAnswer: 626472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -12. Suppose 13*l + 1395 = 3683. Calculate the highest common divisor of l and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 916006 and 770049.\nAnswer: 140148918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 460480108 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -276, 2\/17, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 357*t**2 - 8 - 704*t + 6 + 141*t**2 + 707*t in the form z + p*t + b*t**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2. Let y(f) = 534*f**2. Calculate d(y(z)).\nAnswer: 1710936*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 273*c - 304*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -980, -1081, -1250, -1487, -1792, -2165, -2606?\nAnswer: -3115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -412\/1507 - 12\/685. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2508268 is divided by 118?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/3)*a\/(a**(-10)\/a) assuming a is positive.\nAnswer: a**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**3 - 5*s + 7. Give b(2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 10:35 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011000 (base 2) to base 9.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4265 (base 7) to base 16\nAnswer: 5ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 3 (b) -2\/11 (c) 40 (d) 2\/63 (e) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91476, -182955, -274434, -365913?\nAnswer: -457392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3949375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*d - 24 - 8*d + 27 + 25*d.\nAnswer: -81*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/7)*d)\/d**(-2)*(d**(-7\/5)\/d*d)\/(d**(2\/5)\/d) assuming d is positive.\nAnswer: d**(122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 53753\nAnswer: 10\/53753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*z + 644, -3*z + 0*u = 5*u - 400. Let g be (26\/4)\/(-12 + 725\/60). What is the greatest common factor of g and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 4. Let a be u(6). Suppose 23*m - 172 + 2725 = 0. Let n be -6 - m\/12 - (-2)\/(-8). Which is bigger: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2449, -4922, -7395, -9868?\n\"Answer: -2473*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u. Let d be (1\/2)\/((-9)\/54). Let i be b(d). Solve -4*x - 2*l + 1 = i, -3*x = -l + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 30, 4, -0.2, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3744348 and 53\/9?\nAnswer: 11233044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 25*h - 48*h + 736 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 3}. Give prob of picking 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*-5*sqrt(21))\/(-2*sqrt(175))*3)**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-36)*(-23)\/(-92)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/72*1641\/(-4). Let p = -91 + y. Is 1 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c - 51. Calculate h(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237621719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 223*k - 175.\nAnswer: 223*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-125)\/(-100))\/((-2)\/(-8)). Suppose 18 = -u*p + 11*p. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 6 (b) 2 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 5*u + 2. Let z be f(-3). Suppose 12*n = -12*n + 11*n. Let i = 5 + -3. Put n, i, z in ascending order.\nAnswer: z, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u + 753. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 201*x**8\/56 + x**5\/10 + 115*x**4\/6 - 12*x - 15. Find the third derivative of h(a) wrt a.\nAnswer: 24120*a**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + (20 - -10))*8\/(-156)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 414 - 247. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + 11.1. Let v = d + -14.2. Let f = -2.19983 - v. What is f rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -680 + 396. Let q be 10\/65 + f\/(-13). Let b = q + -10. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 + 20. Let w(o) = 4*o**2 + 7. Suppose 5*s + 0*s + 30 = 0. Give s*t(f) + 17*w(f).\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 32, 92, 186, 320, 500, 732, 1022?\n\"Answer: u**3 + 8*u**2 + u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3551 and 0.2.\nAnswer: 710.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/z**(-14))\/(z\/(z**(-2\/5)\/z)*((z\/z**(-2))\/z)\/z))**(-22) assuming z is positive.\nAnswer: z**(-1386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0 + 6*q + 0*q**5 + 0*q**6 + 0*q**3 + 0*q**2 + 5\/12*q**4 - 5\/42*q**7. Find the third derivative of y(j) wrt j.\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4826 + 14479\/3. Let -1\/3*y**3 + 1\/6*y**2 - 1\/6*y**4 + 0 + l*y = 0. Calculate y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from hggggnnangnaaannna.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:50 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -193, -1101, -2009, -2917?\n\"Answer: -908*j + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -803, -804, -805, -806, -807, -808?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/((-6)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1213503 - -310?\nAnswer: -1213153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**(-6\/29)\/((l*l*(l*l**(-2))\/l)\/l)**39 assuming l is positive.\nAnswer: l**(1128\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -10, -4, 11964, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38120085.98 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 1.35. Let r = t - 0.19. Let s = 0.13 + r. Which is the second smallest value? (a) -1\/2 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -12 (c) -0.4 (d) 0.5 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -957934079.5 rounded to the nearest one million?\nAnswer: -958000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 345283.795 rounded to the nearest 1000?\nAnswer: 345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 8, 2046, -0.08, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/u**2)\/(u**(-5)\/u**(-1\/5)) assuming u is positive.\nAnswer: u**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.11, 1\/11514, -0.4, 1, 5?\nAnswer: 1\/11514","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027683101 * 0.08.\nAnswer: -0.00221464808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 - -379. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131 is divided by 64?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3759, -4722, -5637, -6480, -7227, -7854, -8337?\n\"Answer: 4*g**3 - 991*g - 2772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/100*-30*88\/(-72) + 6\/10?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 8. Let i be h(-7). Let k be 6*i*4\/(-12). Let z be (14 - 15)*(-4)\/k. Is z >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m**2 + 5*m + 5. Let z(u) = -54*u**2 + 24*u + 24. Let x(h) = 24*w(h) - 5*z(h). Let i(n) = -3*n. Calculate x(i(g)).\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 4:04 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330160883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**30*y**13 assuming y is positive.\nAnswer: y**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/4 + (-147)\/(-196). Let h(w) = -3*w**2 - 11*w + 3. Let q(m) = m**2 + 1. Let p(a) = -h(a) - 4*q(a). What is p(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-364*p**2 + 397*p**2 + 1187*p**2)*(1 - 1 + 2*p).\nAnswer: 2440*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 - 3*o**2 + 3*o**2)*(4*o**2 - 7*o**2 - 8 + 11).\nAnswer: 21*o**4 - 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h - 1. Let a(c) = -13*c + 4. Let g(l) = 4*a(l) + 10*k(l). Let r(d) = 6*d + 2. Determine -3*g(i) + 8*r(i).\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -48. Let l be ((-20)\/n)\/(2\/(-27)). Let d(f) = -f**3 - 7*f**2 - 3*f - 11. Let c be d(-7). Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -174 less than or equal to -198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 81, 0.18, -3 in decreasing order.\nAnswer: 81, 0.18, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6068 or -479290\/79?\nAnswer: -479290\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45805015*o**4 + 15*o + 105014?\nAnswer: -549660180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 36*s**3 + 24*s - 24. Let l(c) = c - 1. What is -24*l(d) + y(d)?\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**4*q**2 - 11*p**4*q - 2*p**3*q**2 + 2*p**2 + 17*p*q**2 - 1 wrt p.\nAnswer: 144*p*q**2 - 264*p*q - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*q - 12358 = -4308. What is the nearest to -0.1 in q, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(1\/12). Let u = -5 - s. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 - -7 - (1 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/7 (b) -4 (c) -53112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15850502 or -15850501?\nAnswer: -15850502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from rcqrkqrcckrrckrzr.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.3. Let k = -2.5 + 2.9. Which is the closest to -3? (a) y (b) 1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 417, 833, 1249, 1665, 2081?\n\"Answer: 416*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-60)*(6 + -1). Suppose 0 = -2*x - 10, 2579 = 10*w - y*w + x. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 17 - (1 - 1) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016387189 to 5 dps.\nAnswer: -0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77439859 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26515635.\nAnswer: 3, 5, 53, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8024 - 8016. Solve -2*r - 3*j - 6 = 0, -u*r = -10*r - 4*j - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfc when three letters picked without replacement from lufncnfffcununnnunuu?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233 - 183. Calculate the remainder when 348 is divided by p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34257 = 1850*w - 47*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41321 and 3682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a - 2*z, -z + 6 = -a + 8. Let u = 572 - 9728\/17. What is the third biggest value in a, u, 2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j + 176 = -8 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -44.3. What is the nearest to 0.11 in 4, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 + 3 = -5*g, 3*y - 1 = -4*g. Let s(l) = l**2 - 10. List the prime factors of s(y).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214104 divided by 132.\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 12924*h**2 + 10315500*h - 200687500.\nAnswer: 4*(h - 19)*(h + 1625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**2 + 8 - 8)*(-2*g + g - g + (3 + 3 - 5)*(-5*g + g + 3*g)).\nAnswer: 33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6*(w**(-2\/7)*w*w)\/w*w)\/(w**1*w\/((w*w*w\/w**4)\/w)))**18 assuming w is positive.\nAnswer: w**(468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150353 - 10004?\nAnswer: -200401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33927*d**2 - 32740*d**2 - 46498*d**2.\nAnswer: -45311*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/40 - 25*l**4 + 10000*l**3 - 45*l**2 + 5. Factor i(y).\nAnswer: 3*(y - 200)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7881 - 0.0181. Let g = r + -4.8. Is -23 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3)*d**(-4))**(2\/31) assuming d is positive.\nAnswer: d**(-12\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 9. Let o = -3 + -6. Let a be c(o). Suppose a = v - 0*v - 10. Calculate the highest common factor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38364 and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 3, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c9d (base 16) in base 15?\nAnswer: -2285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -15 + (3 - (2 - -3)) - -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10*(-1)\/((-6)\/(-393)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 5, -11, 1.6, 4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbbl when four letters picked without replacement from {l: 1, z: 1, u: 1, r: 1, q: 4, b: 4}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 + 15*n**2 - 33*n\/2.\nAnswer: 3*n*(n - 1)*(n + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2) + 0\/(-3). Is (41\/n)\/(1\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -506 + 516. Suppose -h*g = 269 - 299. Solve -4*p - 11 = -g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4 = -2*n + 11*k, 3*k - 29 = -4*n. Suppose 3*w - 7 + 16 = 0, -4*h + n*w + 15 = 0. What is x in 2\/5*x**3 + 0 + 4\/5*x**2 + h*x = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1606 is divided by 314?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2446426 is divided by 86?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3923930027565 and 0.3?\nAnswer: 3923930027564.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5285*n**3 - 13*n**2 + 9*n + 18. Let v(o) = 1319*o**3 + 3*o**2 - 2*o - 4. What is -2*p(c) - 9*v(c)?\nAnswer: -1301*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -114?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11165.3199 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31306, -31324, -31368, -31450, -31582, -31776, -32044?\n\"Answer: -2*b**3 - b**2 - b - 31302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 22. Suppose -2*f = -v*j + 406, -2*f + 609 = 4*j - j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s - 9. Let n be c(10). Let k = 3 + n. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2091672 + 1.3.\nAnswer: -2091670.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51225023 (base 6) in base 9?\nAnswer: 2673346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/7)\/(-2))\/((-1)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18672 - -109?\nAnswer: -18564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9371.919 litres in millilitres?\nAnswer: 9371919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 8. Let d(o) = -11*o**2 + 5 + 4*o**2 + 8*o**2. Give -8*d(l) + 5*u(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111449310 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 221457*w**3 + 4087708560*w**2 - 28603109556*w.\nAnswer: 3*w*(w - 36906)**2*(w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 0. Suppose t*o - 157 = -o + z, z + 616 = 4*o. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17479280 and 1872?\nAnswer: 157313520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 134?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 449911 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.26820677 to one decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 313191 and 7565.\nAnswer: 1565955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -10. Suppose 41 + 16 = 3*q + g*o, 3*q - 4*o = 36. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 72498, 72480, 72460, 72438, 72414, 72388, 72360?\n\"Answer: -x**2 - 15*x + 72514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 40?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 22 (c) -8\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-35))\/(2*(-2)\/(-14)). Suppose -5 + 21 = -4*t. Let d(r) = r**3 + 3*r**2 - 2*r + 5. Let m be d(t). Sort k, m, 5 in increasing order.\nAnswer: m, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 - j**4 + 31 + 43 + j**3 + (-3*j**2 - 3*j**2 + 4*j**2)*(6*j**2 + j**2 + 0*j**2) as s + p*j**4 + w*j + r*j**2 + b*j**3 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.48201 - 514.72829. Let h = s - -530.5103021. Let k = h - 0.3. What is k rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8271\/466 + 1\/932. Let x = 17 - j. Let b = -0.05 - 0.25. Put x, 1, b in decreasing order.\nAnswer: 1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16470, -16466, -16462?\n\"Answer: 4*k - 16474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1550473 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*f - 16, 0 = 4*f - l - 4*l + 17. Let h(j) = -j**3 + 2*j**2 - j - 1. Let d be h(f). What are the prime factors of (0 - (d + 2)) + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -632577 and 1.83458539?\nAnswer: 632578.83458539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -109*o**3 + 142*o**2 - 3*o + 28. What are the prime factors of y(-7)?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 8. Let n = 13 + -11. Let m = n + p. Sort 4, m, -0.3 in descending order.\nAnswer: 4, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**12*t**(-19) assuming t is positive.\nAnswer: t**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 88*b**2 + 1679*b - 29. Let q be t(-24). Calculate the greatest common divisor of 86 and q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = z - 2, 2*z - 1 = 2*w + 3. Suppose 0 = c - 6 - w. Let x be (-36)\/4*68\/c. What is x rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**38*d)**26 assuming d is positive.\nAnswer: d**1014","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/967 - -30916\/6769. Suppose -i = -3*n - 0 + 2, -4*i = -2*n - 2. What is the common denominator of m and 4*i\/24*106 - 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8882327 is divided by 392.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1) + -4 + 1. Let r(y) = y**2 + y - 7. Suppose -2*f = -4*n - 2, 5*n + 2*f - 2 = 4*n. Let p be r(n). Put 5, p, z in descending order.\nAnswer: 5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1683 is divided by 807?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 29*w - 137. Determine p(13).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 776955 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.1481 + 56.2. Let f = 1.0519 - z. Let h = 0.5 - 0.1. What is the nearest to f in -5, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 17*r**2 - 6*r - 38. What is the units digit of k(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l + 5*l. Let g(i) = -73*i + 3. Is g(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*o**2 - 210*n**2*o + 243*n**2 - o**2 - 2*o + 5 wrt o?\nAnswer: 2*n**2*o - 210*n**2 - 2*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -22 + 8. Let u(d) = s - d**2 - 3 + 12*d - 1. Is u(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 56*w**2 + 56*w + 56. Let p be z(-55). Let r be 3*(1 - 14\/6). Sort p, 0, r in descending order.\nAnswer: p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8316066 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461509 is divided by 41897?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299 - -677. Suppose 3*p - p - w = 0. Let d = -111 + p. Round d to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 27*k + 3*g + 15, -5*k = 2*g - 74. Solve -2*i = -n + 2, -13*i + 2*n = -17*i - k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/r**(2\/27))\/(r**(-1\/2)\/r)*(r**1)**(-48))**(-14\/3) assuming r is positive.\nAnswer: r**(16471\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + x = 2*t + 26, -2*x = -2. Let a be (2 - (t - -12)) + 8. Solve a*k + 20 = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 439 = 6*t + 499, t + 207*f - 1236 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-14))\/(225\/(-1350) - (-244)\/24)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 499393 and 33363557.\nAnswer: 6841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*f**3*z**4 - 29*c*f**3 - c*z + 8*f**3 - f - 278*z**2 wrt z.\nAnswer: 12*c*f**3*z**2 - 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2046 - -3018. Suppose -288 = -6*y + s. Is y a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 72. Let d be (-2440)\/(-35) + (-8)\/c. Suppose -d = 2*j - 214. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let t(a) = -10*a**3 - a**2 + a + 1. Let r be t(z). Solve 2*d = -d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 + 212. Suppose -w*o = -27*o + 8. Solve -3 = u - o*h, 0 = 3*u - 5*h + 6 + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 7, -3*v - 2*p = -6. Put 1, -19, v in ascending order.\nAnswer: -19, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43367.55s in minutes?\nAnswer: 722.7925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 3. Let o be x(-2). Let w(u) be the third derivative of -u**4\/4 - 2*u**3\/3 + 162*u**2. What is w(o)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - -3) + -16)*-1. Let r be j\/(-25) - 19\/(-15). Which is the smallest value? (a) -2 (b) r (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 = 1. Suppose 0 = -22*t + 36 + 30. Solve 9 = 5*r + 2*h, -r + b*h = -t*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77)*1*2 - (sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77) - 1*sqrt(77)))))*5))\/(-1*(1*sqrt(704) + sqrt(704) + sqrt(704))*3).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200.32 rounded to the nearest ten?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 + 302. Calculate the remainder when 214 is divided by h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 407.821 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 3*i + 4. Let p = 13 - 13. Let w be t(p). Suppose w = 9*j - 671. What is the highest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -745802, -745799, -745794, -745787, -745778, -745767, -745754?\n\"Answer: x**2 - 745803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13136773 a multiple of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/30)\/((-24)\/360). Suppose 0 = -r - 0*r. Suppose t*s - 43 + 40 = r. Solve 4*u = 7 + s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 4. Let u be y(7). Let j(v) = 5 - v**u + 4 + 0*v**3 - v. Let o = 266 + -271. Let c(i) = -2*i**3 - 2*i + 14. Calculate o*c(x) + 8*j(x).\nAnswer: 2*x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -509.57175 and 0.1.\nAnswer: -50.957175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -23*p - 22. Calculate q(-8).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/15)\/(2\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*x - 12184 = 9*x + 2579. What is the remainder when 995 is divided by x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103397575 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-30)\/(-28))*147\/(-98)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3090782*v. Let l(r) = r**2. Give l(c(q)).\nAnswer: 9552933371524*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -486 + 841. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2040*h**2 - 946 - 5591*h + 5591*h wrt h.\nAnswer: -4080*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -15*b - 2. Let k be d(2). Let l be 2\/4*k\/(-4). Suppose -5*s + 3 = -l*s. Solve -s*q + 6*q = -15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p - 93. Let g be w(-17). Let q = g - 743\/3. Sort 2\/9, q, -0.4, 22.\nAnswer: q, -0.4, 2\/9, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225656 (base 14) in base 15?\nAnswer: 180da2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6335208 and 527934.\nAnswer: 6335208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11065, 11067, 11067, 11065, 11061, 11055?\n\"Answer: -i**2 + 5*i + 11061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a factor of 951724142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 1\/108*m**4 + 0*m + 0*m**6 + 0 + 0*m**3 + 1\/135*m**5 - 2\/945*m**7 - 3*m**2 - 1\/1512*m**8. Factor t(b).\nAnswer: -2*b*(b - 1)*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 2, o: 10, b: 5, c: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/10 - (19 + -16).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6544 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 7*y**2 - y + 7. Let k be m(7). Solve -3*b - 23 = 2*t, k = t + 4*t + b + 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59582 + -33831. Suppose 15*x + q = -25714. Let i = x - -4830. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -15*h + 99. Let g(i) = -i**2 - 5*i + 4. Let o be g(-8). What is the units digit of y(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 9) to base 11\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11 and -128802?\nAnswer: 128802.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8338, -6897, -5456?\n\"Answer: 1441*a - 9779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256438 and 24479?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g + 27*g + 490*g**2 - 245*g**2 - 244*g**2.\nAnswer: g**2 + 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*f - 4*w, -7*f + 5*f = 3*w - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*2*-4)\/(4*sqrt(16)\/sqrt(4)*-5).\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 + 509 + 0*h**3 - 2*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(-42) - 10*(-130)\/(-12). Round j to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -23*o + 11. Let s = 2 - 9. Let w = s + 11. Let v(m) = 8*m - 4. Let u(a) = w*g(a) + 11*v(a). Let q(p) = -p**2. Determine q(u(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*f + 2 = -6*k, 2*f = 10. Let b(a) = 3*a + 3. Let p(x) = -x + 1. Let v(w) = k*p(w) + b(w). Suppose s + 5 + 1 = 0. What is v(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87968425?\nAnswer: 5, 37, 95101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19966 - -219625\/11. Which is the fourth biggest value? (a) -1 (b) h (c) 0.3 (d) -13 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*p**3 + 17*p**2 + 7*p.\nAnswer: 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 508\/12)\/((-1)\/(-3)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(32\/(-84)))\/3. Put l, 1, 0 in descending order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6303*u**4 - 8165*u wrt u.\nAnswer: 75636*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 6*f + 3*f)*(-f - f + 3*f)*(-3*f + f + 10*f)*(0*f**2 + f**2 + 0*f**2).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8915)\/(-85) - (-2)\/17. Let w = 269 - g. Does 41 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 - 14\/(-4). Suppose -2*k + 5*j = -67, 0*j = j + b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -8*r + 16. Let p be 13*r*3\/6. Suppose 4*t - p - 14 = 0. Solve 0*d + t = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*f + 2*f**3 - 54*f**2 + 0*f**3 - 1 - 7*f + 63*f - 11*f to l*f + w*f**3 + z + s*f**2 and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from flhhhaffhfhhhhofh?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 245508.3 meters in micrometers?\nAnswer: 245508300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjtc when four letters picked without replacement from {e: 2, w: 2, o: 2, t: 1, c: 1, j: 5}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(0 + (-11)\/2). Let j = z - -26. Suppose -5*v + j = 5. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -635, 330, 1937, 4186?\n\"Answer: 321*x**2 + 2*x - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -431388339, -862776676, -1294165013, -1725553350?\n\"Answer: -431388337*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 10*c**2 + 30*c - 32. Let z(s) = -4*s**2 - 10*s + 10. What is -5*r(q) - 16*z(q)?\nAnswer: 14*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -59*t**2 - 2420*t - 40. Let l be c(-41). Solve -l = 2968*m - 2967*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/6 - (6 - 0). Solve -q*l = -y + 5 + 14, 29 = -5*l - 4*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -1290?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhq when three letters picked without replacement from qqqqqqqqqqhqqhwh?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/22 - 0)*5412\/(-4428).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y**3 + 23*y**2 - 149*y + 1?\nAnswer: 30*y + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6845128 + 0.3324351?\nAnswer: -1.3520777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1435.\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 4*v**2 - 8*v + 11. Is f(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 5*p + 5. Let v = 8 + -2. Let y(b) = -b + 9. Let c be y(v). Let x(d) = -c - 4*d + 2 + 3*d. Give o(m) + 5*x(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -223*z + 8. Let y be i(3). Let x = 992 + y. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/35)\/(28\/(-20)) - (-72)\/203.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.078 - 3.078. Which is the third smallest value? (a) h (b) 1 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/11, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 816630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a - 1. Let n = 6 - -1. What is the remainder when n is divided by a*12\/((-3)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -5*l + 1\/2*l**3 + 0 + 0*l**2. Let x(f) = 5*f. Determine w(x(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:00 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76006 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -153, -140, -127, -114, -101?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -283711, -1134825, -2553349, -4539283, -7092627?\n\"Answer: -283705*g**2 + g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - o = -0*o - 6, 3*o - 4 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208 times -2?\nAnswer: 0.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85, 75, 53, 13, -51, -145?\n\"Answer: -t**3 - 3*t + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4 + 1036\/198)\/((-32)\/24) and 43\/9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/11)*w**6 assuming w is positive.\nAnswer: w**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g + 15 = 4*f, -1 = -5*g - 2*f. Let h = 0.8 - 4.8. Sort 1, h, g in decreasing order.\nAnswer: 1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/53? (a) 627 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-1))\/((408\/16)\/17). Suppose 2*p = -13*r + 14*r + 342, -c*r + 676 = 4*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045373876 rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 1 = 2*g - 0*g, 30 = -5*g - 4*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6*2*740\/(-37))\/(123\/369)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -41. Let j be ((-148)\/119)\/(-4) - 15\/q. Let m = 0.27 + 0.03. What is the closest to -1 in m, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/6, 2\/5, -198?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let a(g) = 483*g**2. Calculate v(a(b)).\nAnswer: 483*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -52302241 divided by -4\nAnswer: 52302241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 2*m. What is the remainder when 28 is divided by 89\/m + (-1)\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80140, 80078, 80014, 79948, 79880?\nAnswer: 79810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9 = 3*y. Let f(w) be the third derivative of 0*w**4 + 0*w - 1\/30*w**5 + y*w**2 + 0 + 1\/6*w**3. Differentiate f(a) with respect to a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - g = -10, 12*w + 2*g = 8*w + 14. What is the third derivative of 3 - 31*n**4 + 24*n**2 - w - 3*n**4 wrt n?\nAnswer: -816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -30*l - 384. Determine o(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/109 or -0.126?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/40 + 5*m**5\/8 + 5*m**4\/12 - 91*m. Let o(v) be the third derivative of z(v). Find the first derivative of o(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.94 - 6. Let w = d - -0.46. Let v = -0.1 - w. What is the closest to -1\/3 in -3\/5, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 0.0278257\nAnswer: 0.000278257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -814 + 232. Let u = 3493\/6 + w. Find the common denominator of 91\/15 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 3:04 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*g - 2*d**3*r**3 + 4*d**3 - 101*g*r**3 - 18*r**2 with respect to g.\nAnswer: -d**3 - 101*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 7 + 7)*(-4*c + 6*c + 0*c) - 2 - c + 2 + (-2*c + 3*c + c)*(0 - 2 + 0).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:28 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/864 and 173\/1440.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -2 + 0 - (sqrt(684) - (-3 + (sqrt(684) - (sqrt(684) + -2)) + sqrt(684)))) + -3*(sqrt(684) + -3*(-1 + sqrt(684)))*-1)**2.\nAnswer: -360*sqrt(19) + 17136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -14. Let n = o + 13. Suppose -4*g + 3*g + 1 = 0. Is n less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -43*m**3 - 2*m**2 - 2*m - 2. Let u(l) = -300*l**3 - 15*l**2 - 15*l - 15. Give -15*k(q) + 2*u(q).\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42939754 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n + 534 = 0. Suppose 15*u + 1428 = 12*u. Let c = n - u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26720198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 2*g - 40. Suppose a + g*a = 24. Suppose y - 4*y = -5*k - 2, 4*k = 2*y - 2. Put k, a, 5 in decreasing order.\nAnswer: 5, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*s - 4, 3*n + 4 = 4*s + 5*n. Let w be 0\/(2 + s) + 1*42. Let f be 2\/(6*2\/w). Solve 0 = -2*b - 3*o + 7, 0 = -f*b + 4*b - o + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1075 = -5*v, -5*v + 3*b - 6*b + 1067 = 0. Suppose -v*x = -226*x. Solve x = -n - n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1605300 (base 7) to base 15\nAnswer: 45453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -43*q - 17*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 88*r**2 + 7 + 54*r**2 to the form z + a*r**2 + w*r and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/112*(5 - -1). Let o = -5 + 3. Sort i, 4\/3, o in descending order.\nAnswer: 4\/3, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2499\/(-126) - -20)*1. Factor 1\/2*i**3 + 1\/6*i - 1\/2*i**2 - l*i**4 + 0.\nAnswer: -i*(i - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:24 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 48\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -155.7 and -4.68099?\nAnswer: 151.01901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34670 is divided by 282.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4, -0.4, -15, 101?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77037.28mm in micrometers?\nAnswer: 77037280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 divided by 149.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 274554697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:56 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 291867809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35420, -141683, -318788, -566735, -885524, -1275155, -1735628?\nAnswer: -2266943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c - 4*z, -2*z = 6*c - c - 6. Solve -c*m + 7 + 3 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -962245612.34 take away -2?\nAnswer: -962245610.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34173.78us?\nAnswer: 0.03417378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 8:41 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4488 = 2*q. Let z = 6753 + q. Let b = z - 54023\/12. Find the common denominator of -121\/10 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 3*w + 1. Suppose 2*z + 3 = 1. Let l(c) = c. Let v(a) = z*u(a) + 5*l(a). What are the prime factors of v(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from eqmqnce.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 >= -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -14*w**2\/9 + 306280*w\/3 - 1312600\/9 = 0.\nAnswer: 10\/7, 65630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -78.67 - -25.68. What is f rounded to the nearest integer?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*v - b, -3368*v + 3366*v - 1781 = -105*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -596*z + 95*z**2 + 596*z. Let n(l) = l**2. What is n(f(o))?\nAnswer: 9025*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116229 rounded to three decimal places?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbaaberabb. What is prob of sequence breb?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, 1971, -2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*q + 1870 = -7542 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24810 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*b - 13*u + 32, -67 + 22 = -5*b + u for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x - 61. Let z be (((-60)\/(-35))\/((-44)\/(-7) + -6))\/1. What is i(z)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -22, -61.\nAnswer: -61, -36, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(-2*(-3 + -2 + sqrt(1377)) + -4 + 5))**2.\nAnswer: -9900*sqrt(17) + 140721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from qrb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -46432.953 take away -0.02384?\nAnswer: -46432.92916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -47. Sort 7, -5, d, -2 in descending order.\nAnswer: 7, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(66)*-2 + sqrt(66) - sqrt(66))\/sqrt(2))\/((2*sqrt(576))\/sqrt(12)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -469*m + 40. Let d be s(-4). Suppose d = 3*v - 2*w, 2*w - 1466 = 5*v - 4658. What is the common denominator of 6\/20*v\/(-99) and 16\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -11*t**3\/6 + 8*t**2 + 24*t - 16. Let q(n) be the first derivative of w(n). Is 16 a factor of q(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/60 + h**5\/6 + h**3 - h**2 - 9*h. Let l be q(5). Calculate the highest common divisor of l and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8078 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22368797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:43 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*n - 16, 5*n + 4*f + 1 - 15 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 15*u - 8. Suppose l - 2*l - 1055 = -5*d, 2*d = u*l + 414. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802047*h + 801991*h = -855 - 2113 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9321733 + -50.188272.\nAnswer: -9321783.188272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 1. Let v(l) = -25*l - 3. Let j(p) = 5*o(p) + v(p). What is j(-8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -16. Suppose 4*l - 5 = 7. Let j = -3 + l. Solve 4*r + 3*w + i = 0, 3*r = -4*w - j - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(1\/8))**(-13\/2))**18)**(-2\/69) assuming l is positive.\nAnswer: l**(273\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3669*q**2 - 4344*q**2 + 6338*q**2 - 13054*q**2 - 9182*q**2)*(3*q**3 - 2*q**3 + q**3).\nAnswer: -47822*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 0)\/(2 + -1). Let x be -1 + (1 - (-2 - r)). Suppose -a + 11 = x*h, 4*h - 12 = -a + 7. Solve 0 = -h*f + 3 - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and -0.369.\nAnswer: -0.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - k**3)*(2*k**2 + 109*k - 109*k - 5).\nAnswer: -2*k**5 + 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 6 = -2*y, 4*v + 14209 = -6*y + 14191 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - s + (-2 - 2*s + 2)*(4 - 1 - 2) - 2 + 2*s + 2)*(s - 3*s + 3*s)*(7*s**3 + 0*s**3 - 3*s**3 + (6*s + 0*s - 4*s)*(7*s**2 - 2*s**2 - 4*s**2)).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3 + -2)*(-16 + 15). Let h(g) = 4*g + 18. Let j be h(p). Let o be 2*4*22\/4. Calculate the greatest common divisor of o and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/24 - 26\/(-78).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 6*f**2 - 6*f**2 + f + 11*f**2 + 2. Calculate z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(68) + sqrt(68) - (2*-4*sqrt(68)\/sqrt(4))**2.\nAnswer: -1092 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226170 - 226158. Suppose 0 = -0*f + 2*f + 3*c - 4, -f + 5*c + 2 = 0. Calculate the lowest common multiple of n and f*-5*(1 + -2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -1881, -0.02?\nAnswer: -1881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1065 * 0.048\nAnswer: 51.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 824505587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1020)\/425)\/(9\/60).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*w - 2236 - 936*w**3 + 849 + 3*w**2 - 2*w - 1457 - 1237 wrt w.\nAnswer: -2808*w**2 + 6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37.4? (a) -15 (b) -1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -94863.9086.\nAnswer: -94863.8986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2398 = 450*r - 10048 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12 + 8*b + 4*b**2 - 12*b**2 + 6*b**3 + 3 - 7*b**3. What is h(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39 + 31 - 250*u**2 - 73 - 77 - 149 wrt u?\nAnswer: -500*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvulvvuuuhvhhhuv. What is prob of picking 2 h?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -29*j**7\/30 - 61*j**3\/2 + 2*j**2 - 23. Differentiate i(t) with respect to t.\nAnswer: -812*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 46 - (-133 + 204).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 4 - 5*m + 7 + 11 + 6*m. Let h be t(0). Let j be ((-48)\/h)\/((-1)\/7). What is the greatest common divisor of 16 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-4.20837.\nAnswer: 16.83348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 + (-614)\/(-6). Let z be (4\/(-6))\/((-2)\/m). Suppose z = 5*p + 9. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21 + -1)*(4\/10 - 0). Suppose -5*b + m - 3 = 0. Sort 4, b, 0, -5 in ascending order.\nAnswer: -5, 0, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -0.15, 2\/9, 1.\nAnswer: -101, -0.15, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -2 - (-36)\/(-17). Let f = b + 21\/34. Let c = 2.8 - 3. What is the closest to f in c, -0.4, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.1465 + 0.8535. What is the third biggest value in -1\/10, b, 0.004, 2?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18519505.\nAnswer: 5, 3703901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458682 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(6\/5))\/(a\/(a**3\/a))*(a\/((a**(-8)*a)\/a))\/a*a**0\/a)\/(a**(3\/5)\/a**(1\/6)*a**(-7)*a*a**(-7)) assuming a is positive.\nAnswer: a**(611\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 25. Let y = -5 - g. Is 0 - (-20)\/y - -41 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 2. Let k be (s\/5)\/(2\/5). Which is the closest to k? (a) -3\/2 (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 26.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (205\/5658)\/(305\/(-1098))\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) - 10\/4. Let n be (-6)\/(-21) - 38\/(-14). Let s be (-3)\/n + (-3 - m). Sort s, -5, -1 in descending order.\nAnswer: -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 1:27 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/83 - -270\/1079. Let g = 23 + -31. Let p = -15395 + 15395.3. Which is the second biggest value? (a) g (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y + 85. What is the remainder when 51 is divided by w(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653644 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.9 + -10. Let d = 0.12 + n. Let o = d + 0.28. Put o, -2, 3\/8 in descending order.\nAnswer: 3\/8, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*a, -2*a - 17*m - 9 = -18*m. Let y(t) = 2*t - 5*t - 4*t**2 - 1 + 3*t**2. What is y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 29192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 7057*h\/4 + 605570.\nAnswer: -(h - 7385)*(h + 328)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269788522.\nAnswer: 2, 223, 604907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 27*q + 16. Let r be f(-19). Suppose -15*s + r = -s. Factor -36*w + 23*w**3 - s*w**2 + 12*w**2 - 27*w**3 - 24*w**2.\nAnswer: -4*w*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - -67. Suppose 9*z - 508 = u. Calculate the remainder when 218 is divided by z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**4 - 113290*t**3 - 2264095*t**2 - 6677810*t + 9055200 = 0.\nAnswer: -22638, -16, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b + 58. Let y(s) = 39*s + 172. Let g(f) = -17*n(f) + 6*y(f). What are the prime factors of g(9)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 15 = -7*w - 7*w + 5*z + 4, 30 - 36 = 3*z for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -10 + (-1 - -1) + -25 + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3080)\/(-462)*34\/(-136)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 4, 143 in decreasing order.\nAnswer: 143, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 574\/10399?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 20212131313?\nAnswer: -20212131312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 1300 = -10*v + 2*r + 1268, 14*v + 3*r = -137 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 409141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -2\/13, 18, -0.7, 2\/1297?\nAnswer: 2\/1297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 7) + -14 - -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(81*z + 92*z - 179*z)*(0 - 1 + 2 + (2 - 1 - 3)*(4 + 0 - 2)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22221.9 - -22221.85800072. Let r = -0.835 + 0.793. Let w = r - d. Round w to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 1 + 3 - ((1*sqrt(72) + -2 - sqrt(72)) + sqrt(72)) - ((sqrt(2) - (-1 + sqrt(2) + -1)) + (sqrt(64)\/sqrt(4))\/sqrt(8))*-4)**2.\nAnswer: 112*sqrt(2) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 68. Let a be (-1 - 2)*c\/(-6). Suppose 0 = -5*g + 3*d + 22, 5*d - a = 2*g - 5*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 + 15*b + 18*b + 3 - 33*b to the form g*b**2 + f + d*b and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 = 5, 0 = -3*q - v + 24. Suppose -263 + 53 = q*y. Let a = y - -105. What is the highest common factor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8488578.\nAnswer: 2, 3, 7, 202109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyyyyxddxxxyyxx. What is prob of sequence ydyy?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 17411?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 7*i + 15. Let q be d(-6). Suppose -6*u = -q + 33. Find the common denominator of ((-3)\/((-9)\/u))\/((-25)\/210) and 77\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -20*w + 312. Give z(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 33*g**4 + 3*g**3 + 15. Let m(l) = -296*l**4 - 28*l**3 - 136. Let v = -24 + 21. Let x(s) = v*m(s) - 28*y(s). Find the first derivative of x(f) wrt f.\nAnswer: -144*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 17530*v**3 - 15417545*v**2 + 92032500*v - 137812500.\nAnswer: -5*(v - 1750)**2*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from bjbbbbjnjbjbzjdgg.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4520\/17 + 2256\/17*u + 2\/17*u**2 = 0. What is u?\nAnswer: -1130, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193109 divided by 2.\nAnswer: -193109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 540*w - 758 wrt w.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*(j**15\/j*j*j)\/j)**(40\/7) assuming j is positive.\nAnswer: j**(920\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246\/5 - 2\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2. Let h(b) = 453*b**2. Calculate h(u(l)).\nAnswer: 4077*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (27 - (8 - -20)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 19035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -76. Let h = r + 108. Let m = -53 + h. What is the closest to 0 in -5, m, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28769 is divided by 140?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + s**2 - s + 3. Let n(p) = 7*p**3 + p**2 - 2*p + 5. Let l(i) = 5*j(i) - 3*n(i). Let z be l(-1). Solve -z*f = f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + -1 + sqrt(972)\/sqrt(9).\nAnswer: 6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 12.1, -3, -4 in increasing order.\nAnswer: -4, -3, 2\/7, 12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = 2. Let c be -3 - ((-9)\/(-3) + z). Let q = 21 - c. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b**3 - 32*b**2 + 32*b + 32. Let h(k) = -3 - 8749*k - 1 + 8748*k + 3 + k**2. Determine c(r) + 32*h(r).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 25. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - -211000222001?\nAnswer: 211001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 935 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 29 = 40. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1216\/(-32) + (1 - -3)*-1. What is the common denominator of 179\/45*c\/(-28) and 43\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*p**1))**(-2\/19)*p*p**(-7)*p**3*(p*p*p*p*p**(-7)*p*p*p\/p**(-2\/3))\/(p*p**(-4\/7)\/p*p*p\/((p**(-3\/10)\/p)\/p)) assuming p is positive.\nAnswer: p**(-23767\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*sqrt(15)\/sqrt(3)*1)**2 + sqrt(20) + 3 + 1.\nAnswer: 2*sqrt(5) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809 divided by -1809?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 15*f + 27. Let r be u(13). Let m(l) = l - 1. Let i(d) = 8*d - 5. Let x(v) = r*i(v) - 5*m(v). Let b(a) = 28*a. Determine x(b(k)).\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 164, 324, 484, 644, 804?\n\"Answer: 160*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10151810.\nAnswer: 2, 5, 233, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**5\/20 + 2*n**4\/3 + 5*n**3\/6 + 2*n**2 - 5*n. Let x be y(-7). What is the units digit of (-4)\/(-6)*27\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1089.7 and -0.4.\nAnswer: 1089.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + -344?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 16. Let j be q(11). Suppose 20 = j*o + 3*k, 5*k - 6*k - 5 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -17*l**2 - 6*l + 13*l**2 + 6*l. Let t(q) = 40*q**2. Calculate t(m(p)).\nAnswer: 640*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(100\/446) + (-8180)\/(-102250)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/24 + 209*j**3\/6 - 49*j**2. Let g(i) = i. Calculate z(g(f)).\nAnswer: -f + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, j: 1, k: 1, o: 5, v: 3}. Give prob of picking 1 o and 1 v.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109 * -0.0523579.\nAnswer: -5.7070111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*w = -11, 2 = -1051*w + 1053*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*s**4 + 3534*s**3 - 30*s**2 + 19852141*s + 5?\nAnswer: 372*s**2 + 21204*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.46 millilitres in litres?\nAnswer: 0.56246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*p**3\/5 + 92*p**2\/5 - 12*p\/5.\nAnswer: 4*p*(p + 3)*(8*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/4*(-8)\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-3) - -1) + 3. Suppose -2*y - 2 = -q*y. Let h be 24\/90 - (-1)\/3. Is h < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-325)\/(-26)*504\/10. Calculate the remainder when 328 is divided by z\/9 + 2 + -6.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 248107 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyhy. What is prob of sequence hy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*f + 280, 4*f + 0*f - 3*y = 288. Calculate the greatest common factor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 370.77 to 0 decimal places.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from lbqmbmt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27240?\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-41 + -1 - -63) + (6 - -1).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 312*z + 1369. Determine h(-4).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j + 1354 - 2579 + 1369 wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = 364*n - 385*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/2052*2)\/(-2). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50209430, 100418882, 150628334, 200837786?\n\"Answer: 50209452*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.02, -31, -3, -3\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -36. Factor 6*l**4 - 6*l**3 + 3*l**5 - 2*l**5 - 3*l**3 - r*l**5.\nAnswer: -l**3*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -71*y**5\/5 - 41*y**3\/3 + 49. Find the third derivative of v(d) wrt d.\nAnswer: -1704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 12. Suppose b = 4 - 2. Suppose -2*c - 12 = b*c. Sort -4, c, z.\nAnswer: -4, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 + 7)*(-13 - 3*s + 13) - 2 + 191*s + 2 - 202*s.\nAnswer: -53*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25.9? (a) 0.7 (b) -3393 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/25))\/(j\/(j**(-3\/14)\/j)*j))\/(j**(-11\/3)*j**(-2\/63)) assuming j is positive.\nAnswer: j**(4423\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 6*z**2 + 26*z + 80. Let y be n(-3). Solve -y*g - b = 7, 66 - 77 = g - 2*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11811306 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*f + 261 = 0, 11*n - 14*n - 7*f = -265. Let k = -42 + 78. Suppose -3*t + k = -30. Calculate the remainder when n is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 435706657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46157\/7240 - 1\/3620. Let s be 3945\/(-414) - (-4)\/2. Let f = s - 122\/23. What is the common denominator of f and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**3\/3 - 2*c. Let n(w) = w**3 + w**2 + w. Let y(q) = -f(q) - 2*n(q). What is the third derivative of y(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*p - 64 = 2*l, -5*l = 4*p + 183. Let h = -15 + l. Let k = -34 - h. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19104350.3 + -0.04.\nAnswer: 19104350.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*t - 200*t = 297 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:38 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2208\/84 + (-2)\/7. Let u = b + 30. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 116 - 4*u + 137 - u + 8*u.\nAnswer: 6*u + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**4 + 20829*w**3 + 203517*w**2 - 281729*w + 57387 = 0 for w.\nAnswer: -11, 1\/4, 1, 5217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648) - -1*sqrt(648))\/(sqrt(60)\/(sqrt(10)*-2)))**2 + 0.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 - -201.24. Let f = n + -5.24487. Round f to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4326979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4775 - 4775. Is x smaller than 91.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -370, -23, -6, -2, 124 in decreasing order.\nAnswer: 124, 4, -2, -6, -23, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*p - 539*a**4*x - a**3*p + 2*a**2*p*x + a**2 - 3*a*p*x + a*x + 4*p*x wrt a.\nAnswer: 24*a*p - 12936*a*x - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6887.3 and 0.31?\nAnswer: 2135.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -56.86*-0.3\nAnswer: 17.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*a**5 + 802*a**4 - 5622*a**3 + 12662*a**2 - 6496*a - 1320 = 0. Calculate a.\nAnswer: -2\/13, 1, 3, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.12, 0.07, -2, 0.3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-4)*(-8)\/(2*(-442)\/(-17))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2. Let f(m) be the third derivative of -m**5\/30 - 3*m**3 - 9*m**2. Let z(y) be the first derivative of f(y). Calculate z(q(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1773 (base 10) to base 6\nAnswer: -12113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -85.195.\nAnswer: -85.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.03, 61.3, 1, -2, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-8 - (-3 + 2 + 2)). Suppose 0 = n - 0*n - t, -2*n = -w*t. What is the closest to 0.1 in -5, 10, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 500 = 311. What are the prime factors of c?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + j**2 + 0)*(602 - 602 + 29*j + j - j + j + (-3 + 4 - 4)*(j - 5*j + 5*j) - 17*j - 612 + 612) in the form k + g*j + t*j**3 + w*j**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -357.7? (a) 2\/31 (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - -1401405?\nAnswer: 1401343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35790, 35789, 35788, 35787?\n\"Answer: -j + 35791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59689 - 41489. Round w to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/15*10*(-1)\/(-8). Let w be (-3900)\/400*(-2)\/6*b. Factor -w*v + 1\/4 + 3*v**2.\nAnswer: (v - 1)*(12*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2)*(-1 - -12). Suppose 0 = -5*y + 31 - l. List the prime factors of y*((-21)\/(-2) - -4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140848067, 140848063, 140848057, 140848049, 140848039, 140848027?\nAnswer: 140848013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 2*y - 1. Let p be b(-3). Suppose p*l - 15 = -l. Suppose -l*i + 13 = -n, 4*n = -i - 16 + 6. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 17433.\nAnswer: 226629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)\/(t*((t**(-19)\/t)\/t*t*t)\/t*t))\/(t*t**(2\/43)*t**(-15)) assuming t is positive.\nAnswer: t**(1417\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2435, 14473, 34535, 62621, 98731, 142865?\n\"Answer: 4012*j**2 + 2*j - 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003483907718 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 - 3.15. What is the closest to 2\/17 in -5, p, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, 2, 105 in increasing order.\nAnswer: -5, -1, 0, 2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -1 - sqrt(1088))*2 - (2 + (sqrt(272)*2 - sqrt(272)))**2) + -5.\nAnswer: -283 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/10 + (16\/20)\/(-2). Suppose -3*t - b*a = -30, 0*a = -5*t + a + 78. Calculate the lowest common multiple of 6 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.114531us to hours.\nAnswer: 0.0000000208651475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 8. Let z be k(-6). Suppose 5*y - 3*s + 2 = 0, -z*y + 0*s + 12 = 2*s. Suppose -f + 3 = -y*b + 1, -4*b + 8 = 4*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:34 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91727959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1585*m - 1591*m + 3173*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:33 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/5 + 38*f**3\/5 + 226*f**2\/5 + 442*f\/5 + 252\/5 = 0 for f.\nAnswer: -9, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/19135 and -111\/3560.\nAnswer: 153080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 2003027041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -67. Let p = 7 - 5. Suppose -35 = -3*q - p*q. What is the least common multiple of f and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/36 and -43\/340797?\nAnswer: 4089564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 5587790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 17*r**2 + 7*r + 13. Let t be o(17). Let h = 258 - t. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -509 divided by 12\nAnswer: -509\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1535*f = 1982*f + 1659*f + 181160 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*x + 137*x = -14 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*w + 122*w + 6 = -p + 5, 4*w = p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45182387321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3964*n + 5248*n - 1043*n.\nAnswer: 241*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -93. Suppose -x*n + 903943 = -216057. What is n rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -4*t - 14*i - 4, 2*t - i = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 59, 0.0393, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q - 2*q)*(-38*q - q**2 + 38*q).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246\/241 + 24446\/5061. Find the common denominator of b and 8701\/(-16170) + (-4)\/(-30).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2288 or 1?\nAnswer: 2288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5130453 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548257 is divided by 182748?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 - 264*x**3 - 10208*x**2 + 36480*x + 2060800 = 0.\nAnswer: -20, 14, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.16 - 0.21. Let m = t - 4. Let d = m + -0.949906. What is d rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 12:35 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/3 + (-2)\/3. Suppose 88*p - 1604 = 489*p. Which is the second biggest value? (a) l (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -4 (c) -0.1 (d) -10 (e) 718\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296184 + 295976.233. Let o = -0.233 + b. Let i = -207.99877 - o. Round i to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1649*z - 2002 = 4594 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 8*v - 9. Calculate n(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 28 + d**4 + 2*d**3 + 8 + 42*d - 54*d - 11*d**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*(-51)\/(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Solve 0*j - i = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*-2*sqrt(3159)*-3)\/(2*(sqrt(243) + sqrt(243) + sqrt(243) + 5*(2*sqrt(243) - sqrt(243)) + sqrt(243) + sqrt(243) - 3*-1*sqrt(243))))**2.\nAnswer: 324\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 690.8001 years to centuries.\nAnswer: 6.908001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18315294826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f219 - 4?\nAnswer: 2f215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 + 0*w**2 + w**2)*((2 - 1 - 4)*(-2*w + w + 2*w) - 2*w + 0 + 0) in the form f*w**2 + g*w**3 + n*w + o and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049189 to 7 decimal places.\nAnswer: 0.0000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13898588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 2*t**2 - t + 6. Let o be q(0). Let h(n) = -n**2 + 7*n. Let w be h(o). Suppose -w = 3*y - 12. Solve 0 = f + y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(21\/2)*v**(-2\/19) assuming v is positive.\nAnswer: v**(-365\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - 89) + (-1 + -1 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 10. Let d be (1\/(-6))\/(1\/4). Let i = -432 - -428. Which is the smallest value? (a) i (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -575, 5201, 2 in decreasing order.\nAnswer: 5201, 2, -575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149 or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - n**5 - 382*n**4 + 379*n**4 - n**5 + n**3 - n**3 + (3 - 3 - 2*n)*(-8*n**2 - 8*n**4 + 8*n**2).\nAnswer: 16*n**5 - 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -0.41515?\nAnswer: 0.008303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 451941?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5980.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (12\/14)\/(256\/(-224))*(-3 + -12421)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -23*t. Let p(v) = -51*v - 14. What is s(p(i))?\nAnswer: 1173*i + 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = -28*p - 253 - 521 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -14*v - 172 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n - 27. Let p(j) = 5*j + 12. Let z(y) = -6*o(y) - 13*p(y). Let c(x) = -14*x + 17. Give 4*c(t) - 11*z(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 24398706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*q - 218*q - 1416 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -56. Let z = f - 221. Let h = -180.00079 - z. What is h rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a hour in minutes?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**4 + 5*o**3 + 6 - 3*o**4 - 5*o**4 + 5*o**4 + o - 3*o**2 to the form p*o**3 + y + c*o + x*o**2 + b*o**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.23, 4\/7, 1, -0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42798 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 23 + -3 + -2. Find the first derivative of -k*q - 92 + 19 - 10*q - 7*q - 57 wrt q.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/7866 and -87\/11362?\nAnswer: 102258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-3))**(1\/5))**(-2\/49))**(-6\/11) assuming h is positive.\nAnswer: h**(48\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 30000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*298\/(-1192)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 2. Let f(x) = -x. Determine 2*f(r) + j(r).\nAnswer: -r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - r**3 - r**3 - r**3 + 0*r + 0*r + (2*r + 0*r + 0*r)*(5*r**2 - 5*r**2 + 2*r**2))*(-1 - 4 - 1).\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4177305\/(-1375))\/(-87) + ((-96)\/50 - -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + (2 + -4 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12398*z**2. Let k(j) = -80*j**2. Determine k(b(v)).\nAnswer: -12296832320*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -22*o + 140. Suppose 0 = -3*f - 3*z - 3, 4*f + 0*z - 2*z = o. Solve f*d = 9*d + 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9286528*b + 51528 = -9285850*b for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30768762 divided by 237?\nAnswer: 129826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 c, and 1 m when three letters picked without replacement from mynncnynnynt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15871 and 0.2.\nAnswer: 0.031742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177213 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002550384799 to 7 decimal places.\nAnswer: 0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 204.\nAnswer: -13\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*p - 9 = 0, 36 = 4*i + 4*p + 4. Let a(b) = -b + 14. Let l be a(11). Suppose -l*h + 23 = -m, -i*m + 3 - 1 = -2*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o**2 - o + 1. Let s(f) = 4*f**3 + 7*f**2 + 6*f - 5. Let m be (-1 + 8\/6)\/(2\/6). Let x(l) = -l + 7. Let n be x(2). Determine m*s(t) + n*h(t).\nAnswer: -t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19292, 19294, 19298, 19304, 19312, 19322?\nAnswer: 19334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)\/(p\/p**8))\/(((p\/p**(-3))\/p)\/(p\/(p**13*p))) assuming p is positive.\nAnswer: p**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31059 = 454*u + 356*u - 201*u for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 799422888279433 + 0.2.\nAnswer: 799422888279433.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 799 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 9*v = 0. Solve 2*l + 8 + v = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 3*p**2 + 1. Let m(i) = 5*i**3 + 5*i**2 + 2. Calculate -5*g(x) + 3*m(x).\nAnswer: 5*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33994720 divided by 6798944.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/15*(-22)\/33*1. Which is the second biggest value? (a) x (b) -3 (c) -58 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, -0.3 in ascending order.\nAnswer: -5, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0 = 6. Let f = 52 - 51.6. Let v = 15 + -14.8. Sort f, 4, v, p.\nAnswer: p, v, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 + 1)\/((-1786)\/(-47) + -39).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - 2*f**2 - 17*f + 2. Let o(v) = 3*v**3 + 3*v**2 + 15*v - 3. Let y(k) = 7*o(k) + 6*z(k). Let y(j) = 0. Calculate j.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1032192 and 5250.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003.68 rounded to the nearest 10?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*k - 134, -3*k + 3*z + 81 = -0*z. What is the greatest common divisor of k and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = 5*m - 0, 2*f - 27 = 5*m. Let i(c) = 19*c**2 + 21*c - 72. What is the units digit of i(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 926b (base 12) to base 14\nAnswer: 5b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 7*r - 2. Let q = -5 - -5. Suppose 2*d + 4*h - 38 = q, -9 - 15 = -3*d + 5*h. Calculate the remainder when s(-5) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1815 + 5*d + 1815.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1326111um in nanometers?\nAnswer: 132.6111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-2\/3)*u**(-3\/2)*(u\/u**(-2\/13))\/u*u**(3\/5)*u assuming u is positive.\nAnswer: u**(229\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 15216.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:34 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4\/3 - 86*z**3\/3 + 139*z**2 - 580*z\/3 + 100\/3 = 0.\nAnswer: 1\/5, 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*z + 7 = 0, 5*t = -3*z + 38 - 61 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2)\/(((7920\/(-363))\/(-20))\/(-18))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 230.69, -1\/5 in ascending order.\nAnswer: -1, -1\/5, 5, 230.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o + 4. Let i(f) = f + 12. Let q(d) = -d - 13. Let p(k) = o*q(k) + 7*i(k). What is the units digit of p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -153, 124630 in decreasing order.\nAnswer: 124630, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 37*s + 89. Calculate x(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 315.7 + -318.7. What is the nearest to -10\/3 in 0.3, -5, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 804860, 1609744, 2414628, 3219512, 4024396?\n\"Answer: 804884*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*3\/(-3)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 5, 7 in increasing order.\nAnswer: -1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3 + (-50)\/(-17)). Let b = -25 - i. Sort 3, 1, b.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*j - 22. Suppose 2*d + j = 4*d. Find the third derivative of 4*g**3 - 2*g**3 + 10*g**d - 4*g**3 + 3*g**2 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -246721 or -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2744\/5292)\/(1\/54).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 2*v - 12. What is b(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763 a factor of 1881124167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2 - 108*i - 1240. Calculate y(-17).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5 - 1110247*t**3 - 7*t**2 - 749520*t + 1?\nAnswer: 20*t**3 - 6661482*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r + 2*c - 14, 0 = -5*r + 5*c + 15. Let d = 11 + -8. Suppose r*g = d*x, -3*x - 1 = g - 4*x. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/2032)\/(84\/((-42)\/3)).\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35711 = 1875*w - 1679*w - 1067*w for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27499, -58020, -88541, -119062, -149583, -180104?\nAnswer: -210625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48541 to two dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 131, 203, 315, 473, 683?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {p: 2, o: 2, b: 4, m: 1, i: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*(sqrt(684) - sqrt(684)*-1 - sqrt(684)))**2 + -3) - -5*-5*(sqrt(19) + sqrt(19)*1*-6)*5.\nAnswer: -24621 + 625*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-6\/5)\/o))\/(o\/(o\/(o*o*(o*o**(-6\/7)*o)\/o))))**19\/((o**(-2\/7))**24\/(o\/(o**(1\/5)*o*o*o)*(o*o*o\/(o**(2\/7)*o))\/o*o)) assuming o is positive.\nAnswer: o**(1591\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-30))\/(110\/165).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 5 - -25 - 20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 277262.84\nAnswer: 304989.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -13. Differentiate 108 + 107 + q*v**2 - 218 wrt v.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 - 8*g + 12. Let b be p(-5). Sort 6, 22, b in decreasing order.\nAnswer: 22, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80995 or -83481?\nAnswer: -80995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c + 1. Let n(a) = 2076*a**2 - 2*a - 2. Let y(z) = n(z) - 3*s(z). Is y(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 + 10512021*x**2 - 9208585584000*x + 64459584000000 = 0 for x.\nAnswer: 7, 1752000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1605 and 3139915.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 8. Let l(z) be the third derivative of -z**3\/6 + 4*z**2. Let w(k) = 4*k + 30. Let g be w(0). Suppose 9*b - g = -48. Give b*n(s) - 14*l(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 12. Let f be x(-5). Suppose -2*g = -4*t - 4, t = g - f*t - 2. Let i be (-4 - g)\/((-3)\/2). Solve i*n = -5*h - 27, -3*n = 5*h + 2 + 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**2 + l**2 - l**4 + 2*l - 3*l - 1 + 3*l**2 in the form v + r*l**2 + o*l + a*l**4 + y*l**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhjdkvjo. Give prob of picking 1 d, 1 j, and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*x + 23*x + 200. Suppose 0 = 17*d - x*d - 48737000. Round d to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/25 + (-143488)\/20 + -5. Round a to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -132. What is m rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-1 - (19 - -19 - 15)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101110111100110 + -10011?\nAnswer: 101101110111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (5 - 3) - (122 + -115)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/18 and (1 - 34723\/6812) + 4.\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 966 and 631785?\nAnswer: 29062110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -182, -267, -352?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a48 - -4?\nAnswer: 15a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 2020761?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-5))\/(3\/(-2)) + (-570)\/(-950).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 3\/64, 1, -1\/2, 2, -3, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 2452 less than -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:24 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000131308336 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/2 + -259\/30. Let f be 237\/21 + 6\/(-21). What is the nearest to f in k, 1\/6, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -759 - 1b3?\nAnswer: -92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 1. Let j(f) = -16*f**3 + 3*f**2 - 2*f. Let m be j(1). Let z = m - -3. Let p be t(z). Are 13 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232243981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33082157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/24*-4 + -2. Which is the fourth biggest value? (a) 0.2 (b) -16 (c) g (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/(b\/b**8*b))**(-10)*(((b*b**(2\/3))\/b)\/b)**(-10\/13)\/(b**1*b)**42 assuming b is positive.\nAnswer: b**(-3656\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000986747 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 6*a**2 + a - 1. Let t be u(6). Differentiate 3 - t*o**3 - 4 - 3 with respect to o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668, -669, -670, -671, -672?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 80*b**3 + 175*b**2 + 90*b.\nAnswer: -5*b*(b - 18)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (1*sqrt(1539))**2).\nAnswer: 9222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1216 and 0.01.\nAnswer: 12.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25427 - 25423. What is the nearest to 2 in -2, -4\/9, z, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -1803, -2773, -3747?\nAnswer: -4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -16, 1, -9, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56691, -226772, -510241, -907098, -1417343?\n\"Answer: -56694*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*t + 4*b + 18, -2*t + 72 = -12*b - 14*b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 7*i + 14*i + 2*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 0.1. Let p = -7.2 - -7. What is the nearest to p in 2, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1361, 1331, 1301, 1271, 1241?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 4*z**2 + z**3 + 313 - 312 + 2*z**3 - z to the form h*z**2 + f*z**3 + v*z**4 + s*z + n and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-156))\/((-10)\/(-12))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884610\/4*-28*(-4)\/40 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 370 = 196. Let o = q - 145. List the prime factors of o.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45387 is divided by 283?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) 6 (c) 2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 18*i + 2. Let x = -4481 + 4589. Calculate the lowest common multiple of s(-8) and x.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**2\/2 + 12. Let p(r) = r. Determine -4*f(i) + p(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 j when four letters picked without replacement from {g: 3, i: 10, l: 1, j: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43582*h*q**3 + 8515*h*q**2 - 2*h*q + 2*q**3 wrt q?\nAnswer: -261492*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84304.9891966 + 84305. What is u rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 30.057. Let t = -0.056 - z. Let o = -1.099 - t. Round o to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000092158689 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -17. Suppose 10*t - t = k. Suppose 5*b + s + 15 = -4*s, 3*b + 8 = -t*s. Put 5, 0.1, b in decreasing order.\nAnswer: 5, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204201455 is divided by 94?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1045, 1055, 1061, 1063, 1061, 1055?\n\"Answer: -2*g**2 + 16*g + 1031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1921 + 6997 = 13*h. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/13)*y*y\/(y*((y**(-8\/7)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(545\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2)*2\/(-4). Suppose z - 5*o = 5, 3*z - 2*o = -j*o + 80. Let t = 202 - 187. Calculate the highest common factor of t and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 203333780*n - 228222671.\nAnswer: 203333780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106227 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 - 4?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1582797 by -1582797.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 4*o - 14. Let s be d(-3). Put 0, -4, 4, s in increasing order.\nAnswer: s, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65063 divided by -3.\nAnswer: -65063\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*j + 701*j - 233*j - 230*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 + 7\/(7\/(-2)). Let l(s) = -s**2 - 21*s - 50. Let u be l(j). Solve -a - 4 = 2*y - 1, -5*y - 3 = u*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 4.6. Let j = 4.52 - t. Round j to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 15551065?\nAnswer: -15551100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:14 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*h**6 + 2*h**5 - 3*h**4*s - 206*h**2*s + s wrt h?\nAnswer: 1680*h**3 + 120*h**2 - 72*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 719764, 1439530, 2159296, 2879062?\nAnswer: 3598828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g. Let j(a) = -a + a + a + g. What is j(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 2*t - 8. Let h(c) = 14*c**2 + c + 15. Let o(w) = 32*w**2 + 3*w + 36. Let u(k) = 9*h(k) - 4*o(k). Determine 5*q(z) - 4*u(z).\nAnswer: 3*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 4*l**4 + 8*l - 8*l)*(2*l + 10 - 10).\nAnswer: -8*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/140*-1*(-2)\/(-3). Sort -1, d, -2, 1\/2 in ascending order.\nAnswer: -2, -1, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228583, -457164, -685743, -914320, -1142895, -1371468?\nAnswer: -1600039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1075602 (base 8) to base 15\nAnswer: 5c092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 1139 = -254*y. Sort -14.9, 0, y, -3.\nAnswer: -14.9, y, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/13 + (-126)\/30.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d + 50. Let t(g) = 4*g - 18. What is 3*r(x) + 8*t(x)?\nAnswer: -4*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331505 to the power of 1\/2, to the nearest integer?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = 0. Suppose h = k + k - 72. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7218 - 6712. Calculate the remainder when o is divided by 151.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -636\/11*n**2 + 3 + 2668\/33*n**3 + 383\/22*n**4 - 27\/11*n**6 + 144\/11*n - 576\/55*n**5. Let p(v) = 0. What is v?\nAnswer: -3, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1381 = 60*y - 64*y, 4*y - 289 = -n. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21080006.\nAnswer: 2, 19, 23, 89, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3) + 22\/33. Solve -4*o - 3*p = -1 - 5, 0 = -4*o - 5*p + d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 + 118*j\/3.\nAnswer: j*(j + 236)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = 42593 - 42653 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 4, -46 in increasing order.\nAnswer: -46, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -297*x + 296. Let k be r(1). Put 0.2, -2, k, 3, 7 in ascending order.\nAnswer: -2, k, 0.2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201052 is divided by 13992.\nAnswer: 5164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5 - 79) - 10\/(-20)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 4*b**3 + 3*b**3)*(b**2 - 3*b**2 + 0*b**2 + b - 3*b**2 - b + (b + b + 17*b)*(-b + 5*b - 2*b)).\nAnswer: 99*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.18 + 0.18. Which is bigger: -1\/2 or q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 17*g + 6. Let x(l) = -l + 1. Give i(v) - 6*x(v).\nAnswer: v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5323489 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2243 (c) -2\/9 (d) 3\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 + -206.1. Let m = i - -14. What is the third smallest value in m, -3, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*w - 44, -2*d = -7*d - 2*w + 40. Solve -4*y = 4*o + 4, -y + 3*y = -d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/17 - 1174*n\/17 - 9264\/17 = 0. What is n?\nAnswer: -579, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304403 to the power of 1\/2, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3348015*p - 18912. Let h(t) = 3541*t - 20. What is -5*d(v) + 4728*h(v)?\nAnswer: 1773*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2390*r**3 - 1467*r**3 - 1006*r**3.\nAnswer: -4863*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 5*l + 5*l + (2*l**2 + 0*l**2 + l**2)*(7*l + 10*l - 65*l + (l + 4 - 4)*(0 - 2 + 1)) to the form n*l**2 + o*l**3 + h + v*l and give o.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 9. Let t be b(6). Suppose 0 = 11*g + 10 - 65. Put t, g, 2 in increasing order.\nAnswer: 2, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.51 + 0.39. Let g = -18.6 + 19. What is the second biggest value in -6\/11, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 58 = 5*h - 2*h, -3*h = 5*i - 59. Suppose -g - 3*n = 2*n - 15, -g + i = 3*n. What is the smallest common multiple of g and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-11)*((-8)\/(-20))\/(324\/(-405))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 262*b**3 - 140*b**2 - 837*b - 1 wrt b.\nAnswer: 1572*b - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1. Let u be (54\/(9 - 0))\/6. Let k(j) = -j - 2. Calculate u*k(q) - 4*l(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - p - 14, 5*o + 4*p - 2 = 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = -86*x + 328. Put 1, -85, 0, x in descending order.\nAnswer: 1, 0, x, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 plus 9956766?\nAnswer: 9956765.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7\/15, 5, -2, -12.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25.55043ng?\nAnswer: 0.00000002555043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*u - 71*u - 85*u - 77*u + 365*u - 80*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**3 - 12*r**2 - 32*r + 66. Let n(o) = -o**3 + o**2 - 2*o + 1. Let p(d) = 6*n(d) - s(d). Does 8 divide p(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27738bc + 24?\nAnswer: 2773902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3 (b) -13 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/3, -123, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 11*l**2 + 4. Let i be c(11). Suppose i*b + n - 296 = 0, 5*n - 9*n = b - 89. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + -120013?\nAnswer: -120044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-942)\/(-316))\/(3783\/(-5044)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520212.\nAnswer: 2, 3, 7, 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 5. Let l be z(4). Let x be (1\/3)\/(7\/l). What is the closest to 1 in x, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76737 and 224787.\nAnswer: 5749826673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -46)*(-2)\/(-3). What is the tens digit of u\/(-42) + (-2)\/(-7) - -67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((w\/(w\/((w\/w**(-1\/5))\/w)))\/w)\/w)\/w)\/w*w**(-5))\/(w*w*w*w**(-4)\/w*w*w**(-1\/3)))\/((w**(2\/7)\/w)**(11\/5))**(-3\/28) assuming w is positive.\nAnswer: w**(-22447\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Let d = z + -1.5. Let x = 5 + -6. What is the closest to x in d, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in -5, 5\/4, -0.3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 + 6257*i**5 + 4*i**3 + 176*i**2 - 3547*i - 2 wrt i.\nAnswer: -120*i**3 + 375420*i**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2) - 2)*-4 - -3. Calculate the greatest common divisor of m and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5744*k**2 - 2057*k**2 - 2807*k**2)*(2*k - 1 + k - 4*k) in the form a + v*k + x*k**3 + c*k**2 and give c.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -50*n + 42*n. Suppose -3*j - 4*c - n = 0, -4*j = j - 2*c - 20. What is the remainder when 3 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 25 + 29. Let d(i) = 6*i**3 - 2*i**2 + 9*i - 6. What is the least common multiple of a and d(2)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 3*u + 246, 4*p - 3*u - 300 = 0. What is the second derivative of 40*q - p*q + 12 + 67*q**2 + 36*q wrt q?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.1. Suppose -3*h + 15 = 4*v, 10 + 0 = 2*h. Let a be (-6)\/4*4\/6. Sort j, a, v.\nAnswer: a, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let q(v) be the second derivative of -1\/3*v**3 + 0*v**2 + 2*v + 0. Give q(w(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a4 - 89?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/5)*(y\/y**2)\/y*y**(-10)*(y*y*y*y**(2\/15))\/y*y assuming y is positive.\nAnswer: y**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:19 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2142023351 to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -51\/10?\nAnswer: -51\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49734 and 1296.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.08 or -1.486?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 7*j - 4739. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + 0.0100028. What is f rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 317 or 315?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(209) - 6*sqrt(209)*1)\/(-1*sqrt(396))*-6.\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-5))\/(1\/(-5)). Suppose 0 = y - 4*y - p. Let w(m) = 20*m**2 - m. Is w(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)\/sqrt(32))\/(sqrt(2) + (sqrt(8)\/sqrt(2))\/sqrt(2)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.89 - 13. Let s = 0.109944 + o. Round s to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 12*r. Let x(s) = -7*s + 5. Let n(l) = -3*l + 2. Let h(p) = 5*n(p) - 2*x(p). Give a(h(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 5. Let x be s(0). Let z be 8 + (-6 - (12\/3 + (6 - 9))). What is the greatest common divisor of x and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100650 (base 8) to base 12\nAnswer: 17260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -1837 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 934408 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 161*c + 564. Give z(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 200 (b) 3 (c) -3\/8 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -3*c**4\/4 + c**3 + 3*c**2\/2 - 3*c + 4. Factor b(y).\nAnswer: -3*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = 5*d, -2*k - 3*d - 6 = 14. Let j = 103 + -110. Let h = j - k. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.66 + -0.06. Let v = h - 118.6. Let r = v - -111.3. Round r to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 17399*a**3 + a**2. Let x be g(1). Suppose 2*v = -v - x. What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v, -5*v + 15 - 7 = 4*x. Determine d, given that 2\/3*d**x + 1\/3*d + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 7) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 3, r: 12}. What is prob of sequence ii?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/(34\/6376) - (7 + -9). Which is smaller: 3189 or w?\nAnswer: 3189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkppckkpkkggkph. Give prob of picking 1 g, 2 k, and 1 p.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/9, 45, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {i: 2, e: 1, h: 2, n: 3, k: 9}?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128397781250*t**3 - 513590364875*t**2 - 24323991*t\/8 - 9\/2.\nAnswer: (t - 4)*(1013500*t + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2682386 - -1282386. What is x rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7193?\nAnswer: 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8192 + -0.1898. Let p = w - -0.009. Let l = -4 + 4.1. Put p, l, -3\/10 in ascending order.\nAnswer: p, -3\/10, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -647 (base 8) in base 14?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzzzcccrczzjcjzj. Give prob of sequence jjrr.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (9 - (1 + 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04015 - 3.95985. Let i = -2.6 + 0.6. Let t = i - -2.2. Which is the closest to -0.2? (a) 3 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-1 - 2 - -2)*(-90)\/450)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417 + 200 = 31*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 138758 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/75248 and 59\/8.\nAnswer: 75248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3402, -3952, -4502?\nAnswer: -5052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4*n**2 + 2 + 2)*(1879 + 4*n + 5*n**2 - 1889 + 2*n**2) to the form o + p*n**4 + j*n + y*n**3 + v*n**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 4*p**2 + 4*p + 7. Let u(a) = -3*a - 1. Let w be u(-3). Let t be (w - 3)\/(-1 + 0). What are the prime factors of r(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 103 = -81. Let t(d) = m - 9*d - 46. Let g(v) = 3*v. What is g(t(z))?\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, -5, -42, 5, -13 in descending order.\nAnswer: 5, 4, 3, -1, -5, -13, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68 + 2 - (1 + 0). Suppose 12 = -3*o + i. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-3*5\/45)\/((-40)\/(-6160)*-2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 - 2*x**2 + 0*x**2)*(225 - 1639 + 486) to the form o*x**2 + k*x + m and give o.\nAnswer: 2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x - 14. Let i(t) = 5*t - 5. Determine 3*b(v) - 8*i(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14817 and 14817.\nAnswer: 14817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1017 + -5?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52\/7 + 22\/7*a - 2\/7*a**2.\nAnswer: -2*(a - 13)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*t = -326*t + 256*t - 5700 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 6*o**2 + 3*o + 2. Let c(n) = -n**3 - 5*n**2 + 2*n + 1. Let s(z) = -5*c(z) + 4*k(z). Give s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/228 and 137\/570?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/27))**(-1\/10) assuming n is positive.\nAnswer: n**(1\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 77288157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3 + 88*l**2 + 936*l = 0.\nAnswer: -26, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*f*m**3 + f*m**2 - 81*f*m - 2*m**3 + m**2 wrt m?\nAnswer: -120*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -1\/168*v**8 + 1\/60*v**5 - v**2 + 0*v + 0*v**6 + 0*v**7 + 0 + 0*v**3 + 0*v**4. Find the third derivative of p(c) wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2 - 2*l**2 - 1 - 894*l**5 - 309*l**5 - 2466*l - 2108*l wrt l?\nAnswer: -24060*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -136*v - 13192. Let a be s(-97). Factor a + 1\/6*c**5 - 1\/3*c**3 + 0*c**2 + 0*c - 1\/6*c**4.\nAnswer: c**3*(c - 2)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960479536?\nAnswer: 2, 29, 2069999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-4) - 3\/(-2). Let n be 6 - 0 - (0 + x). Let k be (-2)\/n + 10575\/60. Calculate the greatest common factor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4540 is divided by 1294.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -5*i + 3*m, 83*i + 95 = 78*i - 2*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjnznnjnnjjnnnnj. Give prob of sequence jj.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) -3 (c) -2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001265 rounded to 6 dps?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 21*t**3 - 33*t**2 + 15*t.\nAnswer: -3*t*(t - 5)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:11 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 5*o - 2 = -r, 0 = 2*r - o - 4. Which is smaller: r or 12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7508613*i**3*r**3 + 753399*i**3 + 4*i*r - r**3 wrt r.\nAnswer: -45051678*i**3*r - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 9 = 5*i + 2*p, -2*p + 16 = 2*i. What is the common denominator of (-4)\/16 + 34\/2 and 2\/i*(-365)\/25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 4*c**2 + c + 1. Let y be g(-3). Let m = y - -34\/3. Factor 1\/3*n - 2\/3 + m*n**2.\nAnswer: (n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.94 + -0.06. Let j = -5.3242 - 0.6758. What is the biggest value in i, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -282, -407, -580, -801?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + j - j)*(-200377*j - 20 - 429923*j + 11 + 122556*j + 9) to w + t*j + k*j**2 + l*j**3 and give l.\nAnswer: 507744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700)*-3 - sqrt(1700)) + sqrt(1700))*2*6)**2.\nAnswer: 2203200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014585775333 to five dps.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161965 and 725.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4050)\/(-3645))\/((-15)\/(-189)) + -1 + (-80)\/12?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 + 7254*b**4 + 138548*b**3.\nAnswer: -2*b**3*(b - 3646)*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 4. What is the remainder when (-3)\/2*(-24 - 2)\/1 is divided by k(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-15) - 10\/(-2))*(92 + (-2583)\/41)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908178*o + 908210*o = 704 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764 is divided by 202?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + 0*z**3 + 2*z**3 + ((2*z + z - 6*z)*(0 + 0 - 1) - 68*z + 83*z - 83*z)*(z - z - z**2).\nAnswer: 62*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 44*o - 1624. Let q be u(37). Suppose 2*x + 6 = 5*l, 2*x = 4*l + 2 - 6. Put l, q, -2 in ascending order.\nAnswer: -2, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 490 + -350. Calculate the highest common divisor of i and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**20\/t)**(-19) assuming t is positive.\nAnswer: t**(-361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcj. What is prob of sequence dc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*t - 2*u, 3*u = t - 3*t + 13. Suppose 0 = -t*f - w + 13, -f - 5 = 4*f - 5*w. What are the prime factors of f - -1*(-2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p, -5*p - 64 - 1 = -5*g. What is the remainder when 95 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1478827\/5 + 300163. Let v = -4350 + g. Let i = -48 + v. Which is the third smallest value? (a) 3 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w + 9077 = 42631. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4119*d*q**3 + d*q**2 + 48950*d + q**3 wrt q.\nAnswer: -12357*d*q**2 + 2*d*q + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1049022 divided by -4483.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from {o: 1, p: 2, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2088 = 2*v + 492, -4*i + 792 = v. What is the highest common divisor of v and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12262 + 12269. Solve -z + p*x + 22 = 12*x, -3*x = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -1 + 6\/3. Let b(r) = 0*r**o - 3*r**2 + 5*r**2 - r**2. Let z(s) = 2*s**2. What is b(z(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-20)\/(-15))\/((-4)\/(-576)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1660 - 1661. Let o be (-4)\/6*(-1)\/(-4). Which is the second smallest value? (a) -2\/11 (b) s (c) 0 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 19, 0, -21, -44, -69?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 86\/(-3) - 1\/3. Suppose -2293*d = -388*d + 393*d + 64344. Which is greater: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*v = -5*a - 2, a = -3*v - 4. Solve 0 = -2*c + 6 + a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 2068, -2 in decreasing order.\nAnswer: 2068, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4, -1, 0.08, -5, 15\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -44*z - 3863. Give p(-89).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 + -6 - (-8)\/2. What is the greatest common divisor of k and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1*8\/(-384)*-12. Suppose -3*u + 58 - 37 = k. Solve 8*m - m = -u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9505*h + 38019. Let u be n(-4). Let b = 17 + -25. Sort u, 8, b in decreasing order.\nAnswer: 8, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -227 and -2844653.\nAnswer: 645736231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342947.\nAnswer: 3, 23, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) 0.4 (c) -4 (d) -24 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 = 3*p - 23, 2*p - d = 15. Let k = 128 - 56. What is the greatest common divisor of p and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 160, 89, -32, -197, -400?\n\"Answer: s**3 - 31*s**2 + 15*s + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*q**3 - 4*q**5 - 518*q**2 + 8 - 6 - 2 + 1463*q**2 wrt q?\nAnswer: -240*q**2 - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00943222 to 4 dps.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 36*s - 48*s. Sort -2, -13, s, -4 in descending order.\nAnswer: -2, s, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - 34\/(-10). Let c = 59 - 34. Suppose -c = -b - 2*z, -z - 1 - 4 = 0. Solve b = -s*q + 2*o - 6*o, 0 = 4*o + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1082838, 43, -1 in descending order.\nAnswer: 43, -1, -1082838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/46 + 1809\/621. Solve t*u - 32 = 6*s - s, -u = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759651 >= 759652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - 79152441.\nAnswer: -79152448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 13 = 3*y - 2, 0 = i + 4*y - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793\/18 <= 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 + 2*s - 1. Let m be u(1). Let n be -1*m\/(4\/3). Solve 8*k - n*k = 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 42*v - 227. Let o be t(6). Solve 0 = -o*l + 22*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/3 + 145*h**4 + 866*h**3\/3 - 2*h**2\/3 - 289*h - 433\/3 = 0.\nAnswer: -433, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109755605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 58 = 14. Let w be 5\/d + -1 - (-1482)\/152. Let p(k) = w*k + 14*k - 48*k. Let x(u) = u**2. What is x(p(m))?\nAnswer: 576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -1243.1545?\nAnswer: 9945.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3\/3 - 2*o**2 - 32*o\/3 - 8 = 0?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**3\/3 - 5*o**2\/2 + 4*o + 12. Suppose 28 = 3*m + 1. Suppose m - 24 = -3*c. Calculate i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*j**3 - 1061*j**3 - 176*j**3 + 391*j**3.\nAnswer: -1337*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l**(4\/7)*l)*l)*l))**(26\/9))**(-1\/4) assuming l is positive.\nAnswer: l**(26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5, u - 66 = b + 67. Solve 344 - u = 30*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 + 56 = -211*o + 462. Solve -o*q = g + 15, -g - 26 = -23 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = j + 314, 0*r = r - 3*j - 94. Suppose -o - 120 - 182 = 0. Let f = -275 - o. Calculate the remainder when r is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b. Let f be b\/((-6)\/3)*-1. Calculate the remainder when 2 is divided by f - (-3 + 2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-20) - (-86)\/(-8). What is the common denominator of -99\/10 and v\/(110\/(-36)) - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 5*y - 5, 13 = a + 2*y. Solve 0 = 2*w + h - 3*h, a*w - 4*h = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*w - 532*w + 3202*w - 532*w - 532*w - 538*w - 532*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w + 6. Let j(c) = -c - 1. Calculate -6*j(v) - p(v).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 68 = 5*a, 168*a - 172*a + 37 = 5*t for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 15*v + 10 - 9 + (-v + 3 - 3)*(2 - 4 + 0) + 5*v - 3*v - v - 15*v - 2*v + 28*v as r + k*v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 - y + 5. Let d be i(-4). Let r(f) be the second derivative of -f**3 + 73*f. Let t(v) = 25*v. Determine d*r(m) + 2*t(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 1:44 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 9099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4591086 rounded to 2 dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*p = -8, y - 41*p - 3 = -45*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56723 - -98329. Suppose -11780 = 18*m - r. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*j - 18 + 9, 9 = j - 2*o. Let c = 0 + j. Solve -10 = -u + 4*l + l, 22 = c*u + 3*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -33*g + 138. Let v(b) = -64*b + 230. Calculate 12*i(o) - 7*v(o).\nAnswer: 52*o + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 60. Let h = -26 - -26. What is the tens digit of m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d - 1. Let l(y) = -y. Suppose -5*t - 13 - 2 = 4*k, 4*k + 2*t = -18. Give k*l(b) + z(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7348 and 1670?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 6 - (6 + -8) - (-37 - -42) - 83?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or 11?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -586 (b) -4 (c) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4 = -4*n, -n = -151*c + 155*c + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -356924 divided by -41?\nAnswer: 356924\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275 and 2240\/68 - 4\/(-68)?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 2051bc?\nAnswer: -2051b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:33 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2174 - 823*f - 2172 - 769*f)*(-1 - 3 + 3)*(0 - 4 + 8).\nAnswer: 6368*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 1245135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 112 = 4*n, 3*d + 7 - 67 = -2*n. Calculate the highest common divisor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3544190 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -24 + 69. Let v be (-3 + (-51)\/z)*20. Let m(u) = u + 2. Let h be m(0). Solve -5*f - v = h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*t - 6 + 30, t = -3*r + 14. Suppose 0*j - 24 = -4*j - q, 5*j - 13 = r*q. Suppose y = 2*y - j. Solve d - 23 = -y*z, -4*z - 1 = -5*z + d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 7 - (-8 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 44. Let f be (n\/4 + 3)*(-18)\/1. Suppose -12*k = -f*k - 321. List the prime factors of k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - c = 9, -4*k - 2*c + 73 - 79 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423088.\nAnswer: 2, 31, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22140 - -17880. Does 40 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = 2*m + 4*k, -k = 2*m + 4. Suppose 5*g - 50 = -m. Let y be 1 + g\/(-6) + 1. What is the third smallest value in 1, -2, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/825*(-10)\/(-4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vva when three letters picked without replacement from vvaavvvavvavvv.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-35)\/(-45)*9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 383269 = d, -4*j - 6268 = -2*d + 760238. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjzahhzyyyzhjz. What is prob of picking 1 a and 1 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1179 + -0.127252.\nAnswer: 1178.872748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7042 divided by -3521?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 3*r**2. Let z(p) = p**3 + 2*p**2 - p. Let s be z(-2). Let j be w(s). Does 5 divide 4\/3*(-30)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + -0.69. Let r = 4.4 - 0. Let q = i - r. What is the nearest to -1 in -0.4, q, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22048?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5002594 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-12 - -8) + (1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 8*v**2 + 10*v - 9. Let m be u(9). Let d(y) = 39*y**3 - y + 43*y**3 + 2*y**2 - 158*y**3 + 34*y**3 + 701 + 41*y**3. Is d(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0\/a*a)**(-17))**37)**(-3) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 6e?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 5 (c) -0.4 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*h + 111*h = 219*h - 472 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-45 - -14) + -1 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2082, -2079, -2074, -2067, -2058, -2047, -2034?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - -15. Suppose -4*h = -3*h - a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - (-6 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -1*(-1 - 0). Suppose 3*p = -5*m - c + 20, -3*m + 12 = p. Suppose -z - z + 19 = 5*d, -d = 5*z - 13. Solve z = m*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2864966?\nAnswer: 2, 13, 101, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Let v(o) = y*o**3 - 2 + 2. Let w(c) be the first derivative of c**4 - 3. What is -3*v(p) + 2*w(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179065.\nAnswer: 5, 59, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 195*s**2 + 199*s**2 - 395*s**2. Let w(h) = -278*h**2. What is w(v(u))?\nAnswer: -278*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -375793 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**7\/7 + 7151*z**6\/6 + z**3\/3 + 324*z + 4805. Find the third derivative of k(v) wrt v.\nAnswer: 120*v**3 + 429060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d**2 + 80*d - 11. Let j(k) = 3*k**2 - 16*k + 2. Give -2*c(u) - 11*j(u).\nAnswer: -u**2 + 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13063, -26126, -39191, -52258?\nAnswer: -65327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:48 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*f - 2*f - k, -3*f + 18 = 2*k. Suppose 0 = 3*r - 0*r + f. Let b = -117.6 - -118. Are r and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/49)*f**(3\/2)*f**(3\/4)*f\/((f*f**(-1\/2))\/f) assuming f is positive.\nAnswer: f**(727\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**7\/4620 + r**6\/198 + 7*r**3 + 40. Let i(p) be the third derivative of k(p). Factor i(a).\nAnswer: -2*a**2*(a - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3501.7+-158.234\nAnswer: 3343.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:01 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 10*r**2 + 2*r - 9. Determine q(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 6 + -6 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**2 - 17\/6*l**3 + 2\/3*l - 1\/6*l**4 + 28\/3.\nAnswer: -(l - 1)*(l + 2)**2*(l + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, 22, 10, -1 in descending order.\nAnswer: 22, 10, -1, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -45*f - 52 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 111. Let f = -46 + z. Suppose 0 = -4*u + 1 - 5. Which is the second biggest value? (a) f (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 18 = 0. What is the remainder when 24 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41677048, 41677050, 41677052, 41677054?\n\"Answer: 2*r + 41677046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10277361 divided by -9.\nAnswer: -1141929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwuwuwwuuwuuuwuw. What is prob of sequence wwuw?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42)\/56*(-1452)\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -66. Let p be 1\/(-2)*18*v. What is the greatest common divisor of 36 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 50*w - 14*w + 33*w. Let v be f(1). Suppose -q = 2*q - v. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpq when three letters picked without replacement from {d: 2, m: 2, q: 4, p: 3, r: 1, o: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 9*d = 10*d - 503, -209 = -5*b - d. Let c be -1*296\/(-2) + -1. Calculate the highest common divisor of b and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -z + 2*z + g, 12 = -4*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*t - 523*t + 2*m + 37 = 0, 7*m = -t + 2*m + 2 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:01 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-3) - (-3)\/9. Suppose -15 + 0 = -a*i, 0 = -3*m + i + 240. Suppose m = 2*b + 25. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -37\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 + 2*k**2 - k - 3. Let q = 11 + -7. Let r(a) = -3*a**3 - 2*a**2 + a + 4. Let h(j) = q*g(j) + 3*r(j). Factor h(n).\nAnswer: n*(n + 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 5. Calculate k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6484*d*r**4 + 28*d*r**3 + 53*d*r**2 - d*r - 5*r**4 - 187*r**2 + 8 wrt r.\nAnswer: 155616*d*r + 168*d - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 6*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 104663 (base 7) to base 5\nAnswer: 1043033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a232 (base 16) in base 12?\nAnswer: 83a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588367549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1067 + 510?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 89*n + 791. Give p(78).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/85 + -312\/595. Let h = -20745 + 20744. Which is bigger: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 363.7 - 363.6. What is the second smallest value in 16, c, -4, -0.1, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151972750 divided by -70685.\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151409 is divided by 7566?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/5 (c) 0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48405 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*g + 51*g - s + 9, 4*s = -2*g + 36 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/24 and 67\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(720) + -3) + sqrt(720))**2 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*i + 91*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 - 73. Suppose 0 = -l - 2*l + 5*i + 86, 5*l - v = -5*i. Calculate the highest common divisor of l and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -6 + (-9)\/81*0. Which is the nearest to 2? (a) 0.2 (b) -0.05 (c) -1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10699 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60986 or 60987?\nAnswer: 60987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1273400879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 766, 1520, 2252, 2962?\nAnswer: 3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 3*n - 101 + 59 - n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*h - 11, 5*n - 52 = -4*h - 39. Let j = 0.24 - -0.06. Let x = 6 + -4. What is the closest to x in j, n, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 f when four letters picked without replacement from {f: 3, r: 2, m: 4, o: 1, w: 1, l: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -21*q**2 + 5\/6*q**3 + 0*q - 1\/24*q**4 + 0. Calculate j(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 15*u + 34. Let a be f(-2). Suppose 3*h + a*x - 8 = h, 0 = -4*h + 2*x + 16. Let c be 5 + (-2)\/(1 - 3). Solve -c*b + h = -10*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413279 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(17)*-3)*-2 + (sqrt(17) - sqrt(187)\/(sqrt(66)\/sqrt(6)) - sqrt(17)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 4. Let y be s(-7). Let p = y - -90. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 9*b. Suppose b*p = -p - x + 22, -2*p = 5*x - 53. Let u = -9 + p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -89, -161, -1686, 7.\nAnswer: -1686, -161, -89, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209 - -212. Let q be (1 - -13239997) + (5 - b). Round q to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/33*(3 + 2 + ((-5265)\/1050 - 0)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -258\/5. Let t = 21.3 - 39.5. Let p = t + 18. What is the third biggest value in p, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.8877 litres in millilitres?\nAnswer: 935887.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624261.437 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucuc when four letters picked without replacement from {d: 1, u: 5, c: 3}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*g + 25*g + 557084. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -68*n + 4. Let h(k) = -71*k + 3. Let v(w) = -6*h(w) + 5*r(w). Let o(q) = 3*q**2. What is o(v(d))?\nAnswer: 22188*d**2 + 1032*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 3, 10261, -4 in ascending order.\nAnswer: -5, -4, 2, 3, 10261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0109953909 to five dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/(b\/b**(17\/2))))*b\/(b**(11\/4)*b)*(b\/b**(6\/11))**(9\/7) assuming b is positive.\nAnswer: b**(1951\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -23. Let d(x) be the second derivative of x + 3\/2*x**2 + 0 + 0*x**b + 0*x**3 - 1\/10*x**5. Differentiate d(q) with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 4. Suppose -x = 5*l + 12, 4*l = -3*x - i*x + 24. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 409 + -402. Suppose w*i = 2085 + 2689. What is the remainder when i is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -89, -55, -21?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 - 62. Suppose 2669*p = 3063*p - 5516. Calculate the highest common divisor of r and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/9218 and 63\/2.\nAnswer: 9218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13558, -27102, -40644, -54184, -67722, -81258?\n\"Answer: q**2 - 13547*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {g: 3, z: 7, y: 1, e: 1, w: 4}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l - 18. Let a be j(-4). Suppose -a*w = 3*w. Let g be w\/((9\/(-6))\/(6\/8)). Solve 3*i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140691 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15002 - 158.\nAnswer: -15160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 16, 25, 36, 49, 64?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 256*l**4\/3 + 703*l**3\/2 - 6121*l. What is the second derivative of m(y) wrt y?\nAnswer: 2048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -8*l**3\/3 + 37*l**2 - 80*l - 179. Factor m(k).\nAnswer: -2*(k - 8)*(4*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 99. Solve 5*k = q*k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389588 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100000000000101011001 (base 2) to base 13.\nAnswer: 861ca8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1238\/19163 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -432*l**3 - 7*l**2 - 2*l + 3. Let d be f(-3). Suppose -13*i + 16*i = d. Round i to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 30 = -5*p, -7 = -2*c - 4*p - 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25423 + 22*k - 12707 - 12703)*(2*k**3 + k**2 - k**2) to n*k**3 + u*k**2 + q*k**4 + t + r*k and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/4)*d)\/d)\/d**(-5\/3)*(d**(-2\/7))**(2\/3) assuming d is positive.\nAnswer: d**(187\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0*h + 0*h)*(11 - 3 + 7)*(3*h**3 - 7*h**3 + h**3) + 0*h**5 - 2*h + 2*h**5 - 4*h**5.\nAnswer: 43*h**5 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249940.1ml to litres.\nAnswer: 249.9401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 589, 600, 617, 640, 669, 704?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 636 - 130621*j**2 + 130623*j**2 - 4*j**3 + 586 as q*j + s*j**2 + r*j**3 + b and give b.\nAnswer: 1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2332*-17.3.\nAnswer: 40343.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 2*b + 4. Let i be c(0). Let t be -24*28\/i*-1. Suppose 2*s - 6*s + 84 = 0. What is the highest common factor of s and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6002492 to the power of 1\/2, to the nearest integer?\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3028\/3 - 257372\/255. Let m = -48163\/1020 - l. Let c = -47 - m. Put -1\/3, c, -2 in increasing order.\nAnswer: -2, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a3 (base 12) in base 8?\nAnswer: -1273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 195585 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*j + 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 980279329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = -4*l - 12673. Is 53 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4251 (base 7) to base 8\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4824 = -18*b - 360. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6168, 12372, 18574, 24774, 30972, 37168?\nAnswer: 43362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23412352603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) -11\/4 (c) -1 (d) -3 (e) 7133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 10502 and 10500 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 205?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 + 1)\/(6*3\/(-12)). Sort -0.2, 0, g.\nAnswer: -0.2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 185115.35 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306621?\nAnswer: 3, 7, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20630.\nAnswer: 2, 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 20. Sort -1, o, 4.\nAnswer: o, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5892943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1895.\nAnswer: 9475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u*u*u**(-2)*u*u**5*u**4*u*u*u assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -16*u**4 + 5*u**3\/2 + u**2 + 2*u. Suppose 65*a = 75*a + 60. Let r be o(a). Round r to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 12850?\nAnswer: 7\/12850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 13*x**5\/30 + 5*x**2\/2 - 42*x. Let r(q) be the first derivative of i(q). Let o(f) = -2*f**2. What is o(r(k))?\nAnswer: -1352*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36930494 is divided by 508.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 34*t - 36. Determine u(24).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301 + -40. Let z = o - -340.801. What is z rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6ca97 - 7?\nAnswer: -6caa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -605 + 5447\/9. Put -3, -0.5, 2\/5, z in increasing order.\nAnswer: -3, -0.5, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122 greater than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2431, -4755, -7075, -9391?\n\"Answer: 2*w**2 - 2330*w - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 22. Suppose -14*b + 16 = -10*b. Suppose l = -n - b*n + 15, -w*n - 4*l = 12. Solve 4*g = n*i - 4, 5*i + 0*i - 9 = 4*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285 + -281. Suppose -w - 41*l + 5 = -43*l, 0 = -4*w + r*l + 12. Sort w, -20, 6, -3 in increasing order.\nAnswer: -20, -3, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + j. Let a(h) = -2*h**3 - 2*h**2 + 39*h. Calculate a(t) - 2*l(t).\nAnswer: -2*t**3 - 4*t**2 + 37*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 3 + 3)*(2 + 3 - 4)*(8 + 3 - 5)*(0 + 0 - 2).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 44916016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -58. Let j(h) = -h**3 + 10*h**2 - 10*h. Let o be j(7). Let k = o - x. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*r + 18 = -5*x, -2*r + 14 = -5*x. Let z be 1 + x + (3 - -4). Suppose 0 = j - z*j + 475. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188 is divided by 380?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, -1, -34, -91, -178, -301?\n\"Answer: -x**3 - 3*x**2 + x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1603.928nm to kilometers.\nAnswer: 0.000000001603928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15433.6503 to the nearest 100.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2035 - 2055 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 13. Which is the closest to -1? (a) p (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*v + 5, 0 = -3*x - 2*v + 8. Let b(o) = o**3 + 2*o. Let g(a) = -5*a**3 - 11*a. Calculate x*g(n) + 11*b(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 12, 3*d + 1 = -s - 2. Let o(t) be the second derivative of 1\/6*t**3 - 1\/10*t**5 + 0 + 2*t + 0*t**2 + 0*t**6 + 1\/42*t**7 + d*t**4. Factor o(z).\nAnswer: z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 + a - 2*a**3 + 0*a + 0*a + 0*a**3.\nAnswer: -2*a**3 + a + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 - 800*d**2 + 14514*d + 140112 = 0 for d.\nAnswer: -417, -7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 934.\nAnswer: 5604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/468137 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(114) + -3*(sqrt(114)*1 + sqrt(114) - sqrt(114)))\/(6*(sqrt(54) + sqrt(6))))**2*5.\nAnswer: -95\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/459*18\/(-12). Which is the nearest to s? (a) -3 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 7) in base 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 - -531. Is (3 + z*-1)\/(-5 + 4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*k + 78 = 0, -o = 4*o + k - 310. Let g = -40 + o. Calculate the remainder when 67 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 2*q)*(5*q**2 - 3*q**2 + 0*q**2) + (2*q + 0 + 0)*(-2*q**2 - 1 + 1).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-35 + 13) - 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -19\/5682?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.72076 centuries to months.\nAnswer: 47664.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 175432, 175428, 175424, 175420, 175416?\n\"Answer: -4*a + 175436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-38)\/(-4))\/(5\/10). Suppose -s = -2*k + k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15540)\/600)\/(413\/(-118))?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -710*f - 13442. Give h(-19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d - 2. Let c(b) = 3 + 9*b - 11*b - 2. Let y(u) = 4*u + u + 0 + 2 - 2*u. Let o be y(-2). Determine o*s(z) - 11*c(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-341 - 685*r + 341 - 919*r)*(0*r + 2*r + r).\nAnswer: -4812*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:49 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6054108 is divided by 3027050.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 - 3*l**2 - 2*l - 2. Let w be t(-2). Suppose 5*f = -2*d + 362, -4*d + 590 - 426 = 2*f. Calculate the greatest common factor of f and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 3.4. Let j = 0.91 + -0.11. Let c = 1.2 + j. Put c, o, 0.5 in decreasing order.\nAnswer: c, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31684 - 31685. Which is the smallest value? (a) -37 (b) -47 (c) -0.2 (d) h (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -36. Let c be (-1)\/(3 - (-13)\/i). Solve -c*g - 3*r = -9*g + 1, -r = 5*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = -2*c. Suppose -c*f - 1 = -3*k, 3*f - f = -5*k + 7. Does 20 divide (58\/4)\/(f\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -247, -358, -469?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - r + 598*r**3 + 4 + 10 - 696*r**3 - 14 to the form j*r**2 + f + q*r**3 + z*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 13*y + 9*y - 44, -20 = 4*y. Let m(p) = -p**3 + 7*p**2 + 8*p - 1. What is m(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 16621.\nAnswer: 5\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65)\/7 + (-2)\/(-7). Let z be 8\/k*2\/8. Let r(s) = -s - 4. Let g be r(-2). What is the nearest to 1 in z, g, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 329058549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(272) + -5*sqrt(1377))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44345, 177367, 399073, 709463, 1108537?\n\"Answer: 44342*f**2 - 4*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i - 5*s - 3613 = -30*i, -3*i + 4*s + 2709 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82566 is divided by 106?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682515588 to the power of 1\/2, to the nearest integer?\nAnswer: 41018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566021, -1126292, -1686561, -2246828, -2807093, -3367356, -3927617?\nAnswer: -4487876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2. Let z be d(-1). Solve -z*x = 3*p - 6*p - 17, 0 = -p + x - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.05 * 1.527\nAnswer: -3.13035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 3*b**4 + b**4 + 10*b**3 + 15*b**4 - 10*b**3 + (2*b**2 - b**4 - 2*b**2)*(2 + 1 - 1) + 5*b - 5*b + b**4 + (4*b**3 + b**4 - 4*b**3)*(-5 + 3 + 0).\nAnswer: 13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y + 69*y = 57790. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008232 to six decimal places.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -219815 and 140?\nAnswer: -30774100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, -2, -0.2, 83, -15, -4 in descending order.\nAnswer: 83, 2, 0.1, -0.2, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23438 + 23437. Let g = -51.29 - -51. What is the second smallest value in g, r, 1\/4, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 5. Let m(x) = 3*x + 11. Let a(w) = -5*h(w) + 2*m(w). Suppose 4*p + 12 = 4*o, 0*o = -2*o + 5*p. Suppose 8 = -o*d - 7. Determine a(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a6 (base 14) in base 6?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(10 - (-2020)\/(-200)). Is -1\/1408 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3144*p**3 + 9*p**2 - 11*p + 4. What is the units digit of f(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 13 (c) 30702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 770 = -p. Let h = -219 + p. What are the prime factors of h?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24253?\nAnswer: 79, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*m - 2*w - 321, m - 4*w - 83 = 0. Let d = 1029\/13 - m. Let p = -8 - -6. Sort -1\/3, p, d in ascending order.\nAnswer: p, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.7 + -1.7. Let b = o - 9.9999994. What is b rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144683496 divided by -4?\nAnswer: 36170874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548\/((-15)\/(-5)) + 2 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 2406?\nAnswer: 26466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*q - 112 = -4*a, q = 5*a - 156. Calculate the least common multiple of 36 and a.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8797119ug?\nAnswer: 0.0008797119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 4b?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 0*t**4 + 32\/3*t**3 - 32 - 5*t**7 + 0*t**2 + 0*t**6 + 0*t + 0*t**5. What is the third derivative of w(b) wrt b?\nAnswer: -4200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 496?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*o - 21 = 0, 5*n - 14 = 103*o - 105*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14524651 - -14524695.826571. Let y = -0.167529 - a. Let n = 45 + y. Round n to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 16) in base 11?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -331 - 4?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/4 - u - 21\/4 = 0 for u.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3150003 + (-2 - (-4 - -5)). Suppose -4*k + 0*k + x = -5*y, 2*y + 1260000 = -5*k. Round y to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.331483 + 22.8720465. Let f = o + -4.540568. Let c = f - 1. Round c to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115528 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2485 = 4*w - 3*h, 2*w + 3*h = 2*h + 1225. Calculate the greatest common divisor of 352 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119239 and 1303072?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3396913 - 4?\nAnswer: -3396917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o + 3*o - 180. Solve -3*u = 2*d - 4*u - 6, o*u - 25 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 20*h**2 - 17*h + 54. Give y(21).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 2:43 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102431, -204524, -306617, -408710, -510803, -612896?\nAnswer: -714989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 - 6*s - 2. Let y be m(-4). Suppose y = 3*b - 3. Suppose -8*i + b*i = -90. What is the lowest common multiple of 16 and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96995201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - z**3 + z**3 + (4*z**2 + 0*z**2 - 6*z**2)*(4*z**2 - 4*z**2 + 2*z**2) + 0*z**4 + z**4 - 6*z**4.\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(84)*-2 + sqrt(84) + 1*(sqrt(84)*1 - sqrt(84))))\/((sqrt(120) + sqrt(120)*2*-5 + sqrt(120))\/(sqrt(70)\/(sqrt(7) + -2*sqrt(7)))).\nAnswer: -11*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10238106 divided by 3\nAnswer: 3412702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/5 - 26*m**2\/5 - 32*m\/5 + 56\/5 = 0.\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -471+254178120\nAnswer: 254177649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 4*f**2 + 2*f + 6. Let k be q(3). Solve 7 = 10*h - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 43129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*g + 61*g + a - 113, 0 = 4*g - a - 235. Solve 28*u - g = 138 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1134, -1207, -1266, -1305, -1318, -1299?\n\"Answer: j**3 + j**2 - 83*j - 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {h: 4, t: 4, q: 3, i: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 0 - 1\/6*j**3 + 0*j**2 - 5\/12*j**4 - 2*j. Find the second derivative of z(p) wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52794 divided by 2933?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from arppaagplaraaaaaagl?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - i**3 - 2 + 0 + 1.\nAnswer: -i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15631505 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 17*h**2 - 56*h - 15. Calculate m(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249810353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = 9*g. What is the remainder when 74 is divided by 90\/8 + ((-9)\/4 - g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.61 - -0.07. Round t to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -29. Let o(s) = -21*s**2 - s. Let y be o(-1). Let b = m + y. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*k + 20. Let j = k - -8. Let r be ((-69)\/(-345))\/(4\/100). Solve j = -r*w - 4*m + 6 + 11, -5*w + 8 = m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by 2.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-12) - (-34)\/8. Let b = 44 + -40. Suppose 0 = -w + 2 - 0, -36 = -o*d + b*w. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21352 and 5066.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87554460.\nAnswer: 2, 3, 5, 7, 208463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-242 - -211) + 6 + -1 + 2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 15*j**2 - 6*j - 104. Is 6 a factor of o(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 544 + 2783?\nAnswer: 3437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -15, -5, 9, 27?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15683 is divided by 309?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 12*d + 30. Suppose 0 = -4*x - k - 35, -k = -5*x - 5*k - 41. Let l be p(x). Solve b = 5*q - 20, -l*q + 5*b = -0*b + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/4648 and -125\/111552?\nAnswer: 111552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 168. Let g(p) = -5*p + 392. Let v(m) = -3*g(m) + 7*q(m). Let j(u) = -396*u**2 - u. What is j(v(h))?\nAnswer: -396*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*64\/(-32)*(-2)\/((-80)\/4)*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**2*s**2 - 400*h**2*t + s**3*t - 15*s**3 wrt s?\nAnswer: 6*h**2*s + 3*s**2*t - 45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 105*k - 51*k - 40*k - 245*k.\nAnswer: -226*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60668927*o**2 - 106*o + 70052 wrt o?\nAnswer: 121337854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 102756240 and 3.\nAnswer: 102756243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 17 = -9*v - 5*f, -v - 1 = 4*f. Suppose 0 = j + v - 13. Solve 4*z = 3*k - 10, -k - 2*k = j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 17*i + 438. Let c = -91 - i. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 22*l + 57. Let c be m(-19). Is -6\/23 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {k: 1, i: 1, n: 1, t: 1, s: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 6 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 0.02?\nAnswer: 13.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30365*r + 40682*r - 11490*r - 12543*r.\nAnswer: 47014*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86994 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y - 4. Let j be w(3). Suppose -5*f + 5 + 14 = 4*b, 4*b = 3*f - 5. Let n be (9\/f - j) + 1. Calculate the highest common divisor of n and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*z - 79 = 0, 4*u + u + 2*z = 120. Suppose -2*k + u = -16. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3888291 a multiple of 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k + 5 + 17*k - 2 + 2*k**2. Let i be c(-6). Suppose 0 = i*l - 4*l + 128. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 389 - 335. Suppose -q*o + 61*o = 497. What is the lowest common multiple of 9 and o?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 523 + -519. Which is the closest to -2\/7? (a) s (b) -5 (c) 43.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*u - 2539 = -2651, q - 19*u - 1154 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14283410.\nAnswer: 2, 5, 971, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -134.192.\nAnswer: -67.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 395598?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7826 and 0.3.\nAnswer: -2347.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-16))\/((-1944)\/1728)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = l + 23, 682*l + f + 91 = 653*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.4. Let x(i) = -i**2 - 9*i - 3. Let d be x(-9). Let g be d\/(-1) + 38\/(-12). Which is the second biggest value? (a) g (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/645 - 5) + 5. Let p = k - 1417\/645. Is p greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11176897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -5, 30, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -991500 to the nearest 10000.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2228255cm to meters.\nAnswer: 0.002228255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -71741 divided by -4\nAnswer: 71741\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061236533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 844*v**3 + 199*v**2 - 22. Let r(f) = -f**3 + 21*f**2 - 2. Let b(y) = -i(y) + 3*r(y). What is the third derivative of b(z) wrt z?\nAnswer: -5082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6779215 - -6779070.931134. Let i = b + 0.125866. Let f = i - -144. Round f to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140709632 - 140709639.9999941. Let o = -8.2 + 0.2. Let n = o - w. Round n to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/513)\/((-194)\/23959).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*r - 6. Let c = -8 + r. Is (2\/(-6))\/(c\/243) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 285 + 280*i - 285 as p*i + y and give p.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35506153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -24*t**2 + 40*t - 9. Let n be y(4). Let p = n + 245. Calculate the greatest common factor of p and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 8. Let b be z(4). Let k = b - 2. Suppose r - v = 8, -r - 5*v - 28 = -k*r. Solve -2*y + r*f + 0 - 9 = 0, 4*y - f = -13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd25 (base 16) to base 13.\nAnswer: -1ab9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 30. Calculate the smallest common multiple of v and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 4. Suppose -1 = k*d - 6. What is the units digit of 2*d*(9 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**23\/o*o)\/(o**(-2\/17)*o)*(o**(-2\/117))**(3\/14))**(-2\/17) assuming o is positive.\nAnswer: o**(-205262\/78897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5136 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10089*w = -10091*w + 3*m - 22, -240 = -65*w + 2*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1945 and 228370230.\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*q - 113*q**2 + 32*q**2 + 1 - 5*q wrt q?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*k - 16, 4*k + 7 = -9. Let i = 15 - 22. Let y = m + i. Solve 19 = -5*b - y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 0)*(5*i**2 - 4460 + 8914 - 4432).\nAnswer: -30*i**2 - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-810)*9*(-3)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3 + 2*z**2 + 2 + 2 - 7*z**2. Let p(m) = -2*m**2 + 3*m + 1. Let b be p(3). Let x be 2\/b - (-9)\/(-12). Calculate k(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36951 - -63701. List the prime factors of v.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 3*s**2 - s**2)*(-1 - 3 + 1)*(-5*s**3 + s**3 + 2*s**3 + (2*s**3 - 3*s**3 - s**3)*(-2 + 6 - 3) - 2*s**3 + s**2 - s**2).\nAnswer: 36*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 7*s**2 - s - 6. Let v(z) = -z**2 + 5*z + 17. Let p be v(8). What is the units digit of x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((92259\/9180)\/(6\/10))\/(7\/28).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195 - -227. Put 3, u, 1 in descending order.\nAnswer: u, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 7*w**3\/6 + 7*w**2 + 4*w. Let j be y(11). Suppose -5*t - 15 = 0, 0 = 3*i + i - 5*t - j. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -482 + 477. Sort -4, b, 2, 3 in descending order.\nAnswer: 3, 2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 1. Let d(r) = r - 1. Let k(n) = -5*d(n) + 4*p(n). Let f(m) = 2. Let i(t) = -f(t) + k(t). Calculate i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 3, w: 2, s: 4, p: 1}. Give prob of picking 2 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 9. Let u = q + 4.99999924. Round u to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let r be u(1). Let l = 26 - r. Suppose -5*q - w = -l, 3*q = w + 6 + 1. Sort -3, q, -2 in ascending order.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0, -1\/4, 67?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 - 14*p + 35. Let d be x(5). Let m = d - 286. Let b = 187 + m. What is the highest common factor of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19058393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-2\/11)\/(a**(3\/2)\/(a\/a**1))*a**(-2\/5)*a**(-4\/5)*(a**(2\/5)\/a)**49 assuming a is positive.\nAnswer: a**(-3551\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5, -16, -64, -56.\nAnswer: -64, -56, -16, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5009 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 - 47 - 71*r)*(0*r + r - 2*r)*(169 + 135 - 98) to the form s + g*r + k*r**2 and give k.\nAnswer: 14626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 6829.\nAnswer: 12\/6829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -25227*t - 1463. Is m(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*2 + (59 - -6). What is the greatest common factor of o and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 151614, 4 in decreasing order.\nAnswer: 151614, 4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26974 = -39*v - 27793 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z + 6. Suppose 5*d - 130 = 6*o - z*o, 0 = 2*o. Calculate the remainder when 101 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/16883634 and 53\/4.\nAnswer: 33767268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z + 47. Let v(i) = -15*i**2 + 2*i. Let g(l) = -5*l**2 + l. Let j(k) = 2*g(k) - v(k). What is j(u(d))?\nAnswer: 245*d**2 - 3290*d + 11045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07303 + 0.02697. Which is the third smallest value? (a) 4 (b) 1\/4 (c) 2 (d) h (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 - 119. Calculate the highest common factor of a and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -51*z**2 + 18*z - 10. Let a(p) = 50*p**2 - 16*p + 8. Give 6*a(b) + 5*x(b).\nAnswer: 45*b**2 - 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 - 41*n**2 + 338*n + 4530. Give d(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 35*f = 39*f - 2463, 2*k = -5*f + 1635. Calculate the remainder when k is divided by 207.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1, 1557313.\nAnswer: 2\/11, 1, 1557313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -270983.\nAnswer: 22\/270983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -3\/7 (b) 0 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zivvzsjvvs. What is prob of picking 1 z and 2 s?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**7\/210 - 2*i**3\/3 + 8*i**2. What is the first derivative of p(d) wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**4\/4 - 17*m**3\/6 + 4*m**2 - 6*m. Let i be u(-6). Solve 0 = -w + 3*w + i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 108. What is the tens digit of z\/(-35) + 4467\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(232\/(-24)))\/(-7)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 631.5797g?\nAnswer: 631579.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 26. Calculate the remainder when 18 is divided by (1 - -2) + y - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 3*u + 8 + 3)*(u - 3*u + u).\nAnswer: 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - 3*c - 3. Let y be g(-3). Let v(n) = -24*n. Let b(t) = t. Let i be (-10)\/(-15) - (-35)\/(-21). Give i*v(j) + y*b(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11215025 (base 9) to base 11\nAnswer: -3088233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4659880, -9319755, -13979630?\nAnswer: -18639505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 191, 419, 733, 1133, 1619, 2191?\nAnswer: 2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 - -22279912359.\nAnswer: 22279912167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, n: 6}. What is prob of picking 4 n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9820053 and 3582?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040 and 2295.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25044\/1182)\/((-14)\/4). Let j = l + -7\/394. What is the common denominator of -103\/6 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 330702.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 16, 18*k - 15 = 3*k - 6*k + 20*k - 5*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126106 (base 8) to base 13.\nAnswer: -170c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.106*10.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*j - 536*j + 251*j as t*j + l and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z - 6. Let i(c) = 8*c + 5. Let o(p) = 7*i(p) + 6*y(p). Let x be o(2). Solve -1 = m - 4*k + 19, -3*m + x*k = 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i + 4*g - 106, 0 = 5*i - 4*g + 112 - 138 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 808 + -807. Put -45, -5, t in decreasing order.\nAnswer: t, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 2\/7, -1, 8, 3.\nAnswer: -137, -1, 2\/7, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04395 * -1924.\nAnswer: -84.5598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -400067 (base 11) in base 14?\nAnswer: -12ab1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -115 + 430. Let y = 59 - v. Let k be (-5)\/((2\/y)\/((-2)\/4)). Which is the fourth biggest value? (a) -2 (b) k (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -12*l. Let v(n) be the second derivative of -n**5\/20 - n**4\/2 - n**3\/6 - 2*n**2 + 4*n. Let z be v(-6). Solve l*k - 8 = z*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/17*2\/(-2)*2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14313 - -14308. Which is the nearest to 37\/2? (a) -4 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:09 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbdc when four letters picked without replacement from {d: 4, c: 4, b: 6, o: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -14. What is the derivative of -18 + z*l**4 - 6*l**4 + 48 + 4*l**4 wrt l?\nAnswer: 68*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -488*n**2 + 3*n - 9. Let f(j) = 122*j**2 - j + 2. Give 2*b(v) + 9*f(v).\nAnswer: 122*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17c62d (base 16) to base 9\nAnswer: 2834228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1254\/(-165)*(40\/16)\/((-4)\/(-2))\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 + 3*x**3 + 4*x**3)*(x + 3*x**2 - 3*x + 0*x**2).\nAnswer: 3*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -410893714 divided by -8385586\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 26)\/(5\/(-5) + -1). What is the greatest common factor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/9, -1\/9, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/11 - 1875706*w\/11 - 1875704\/11 = 0?\nAnswer: -937852, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - -2.5. Let q = 71 - 70. Which is the nearest to -0.1? (a) q (b) u (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2116892595 + 14.5983175105. Let h = i + -14.81. What is h rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 >= -382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 257*t**2 + 28632*t - 1011. Determine a(-84).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/4 - 59*f**3\/4 + 183*f**2\/4 - 185*f\/4 + 31\/2.\nAnswer: -(f - 1)**3*(f + 62)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/411932599 or -1?\nAnswer: 14\/411932599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 2*g**2 + g - 6. Suppose 9 = 6*j - 9. Suppose 6*t - 4*b - 13 = j*t, 0 = 5*b + 5. Let x be m(t). Solve -3*h + x*h - 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-3*d**4 + 14*d**2 - 6*d**2 - 4*d**2).\nAnswer: 3*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.348914 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 440050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -266*y**4 + 57*y**2 + 209*y. Let c(p) = -19*p**4 + 4*p**2 + 15*p. Let b(h) = -57*c(h) + 4*t(h). Find the second derivative of b(l) wrt l.\nAnswer: 228*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 + (-1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*f**3 + 2*f**4 + 17*f + 17*f - 5 - 177*f**3 to the form q*f + j + l*f**4 + r*f**3 + k*f**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 22*m**2 - 24539*m + 245190. Determine t(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-7)\/((-14)\/(-12)). Let r = -4.75 - -4.8. Which is the biggest value? (a) 2\/11 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3 + o + 2*o**4 + o + (3*o**2 - 6*o**2 + 2*o**2)*(o**2 + 0 + 0) + (-7*o**3 - 3*o**3 - o**3)*(-o + o + o).\nAnswer: -10*o**4 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250583 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*a = -50, -72*q + 5*a = -68*q - 68 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = -o, 2*o = 3*o - 3*w + 12. Let l be 26\/7 + o\/(-21). Suppose 0*a - l = -a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 51. Solve -2 + 3 = d + o, x = -2*d - o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134485 divided by -242\nAnswer: 134485\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 24*u**2 + 1. Let t be m(24). Let a be 4*t\/(4\/(-583)). Let k = a + 1224. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/7)*r)**9*((r*r\/(r\/r**11))\/r)\/r*r\/r**(-2\/9) assuming r is positive.\nAnswer: r**(1679\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004911961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 - (3 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11111 - 120221?\nAnswer: -202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 1, r: 1, f: 4, i: 1}. Give prob of picking 1 r and 1 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 at most as big as 70051042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11340 divided by 270?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -4*g - 26, 2*g + 133*m = 135*m + 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/a**(2\/35))\/(a\/(a\/(a**(-15)*a)*a)*a**(-9)) assuming a is positive.\nAnswer: a**(169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*t + 298 - 59, -3*t - 274 = 2*p. Suppose -i + 70 = -44. Let q = i + t. Calculate the greatest common factor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 68*l**2 + 0*l + 7\/20*l**5 + 8*l**3 - 2 + 1\/24*l**4. Find the second derivative of d(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -152914*u**4 + 94050.\nAnswer: -611656*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -423*o + 33836. Give y(80).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*q*z**3 - q*z - 30*q + 38*z**5 + 3*z wrt z?\nAnswer: 102*q*z + 760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4678 bigger than -4676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 - i - 7. Suppose 11*u - 33 = 22. Let p(k) = -5*k**3 - k - 8. What is u*p(m) - 6*s(m)?\nAnswer: -m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 165180 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 5:43 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -70.7\nAnswer: -120.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 1. Let h(p) = 3*p - 91. Let i be h(30). Let k(s) = 5*s + 1. Calculate i*t(u) + k(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/9 and 64\/535.\nAnswer: 4815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458615 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -10, 9*f - 14*f - o = 20. Which is the nearest to f? (a) 1 (b) -2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 24*q - 25. Calculate a(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 27*t**2 + 44*t - 27. Differentiate i(l) with respect to l.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 68. Let d(z) = -l*z**2 - 115 + 126 + 3*z**2 + 3*z. Let f be d(-5). Which is smaller: 43\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 73*t**2 - 44*t + 126. Is 18 a factor of g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102012 + 10?\nAnswer: -102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*k = 498*k + 930 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w + 2. Let q be y(2). Suppose 5*a = -b + q, -b = 2*b + 3*a - 84. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from midqqddqivvdrddrq. What is prob of picking 2 d and 1 m?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*a = -4 + 6 - 2. Solve -f + 44 - 43 = a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/9))**(-44)*i**4*i**(-8) assuming i is positive.\nAnswer: i**(-520\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, h: 3}. What is prob of sequence hcch?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-12) + (4\/2 - 1). Let r(z) = -z - 87 + x*z + 76. Let t(k) = -2*k**2. What is r(t(h))?\nAnswer: -6*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 760098713 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 2*h + 2. Let i = -47 + 43. Let m(t) = 6*t**2 - 2*t - 1. Let r(v) = v**2. Let s(d) = i*r(d) + m(d). What is -2*g(c) - 3*s(c)?\nAnswer: -2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -101101010100010101?\nAnswer: -101101010100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 16632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 32.87. Let g = r - 0.07. Which is the second biggest value? (a) -0.1 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 15\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38654, 78964, 119274?\n\"Answer: 40310*l - 1656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.008 in -37\/354, 5, 4?\nAnswer: -37\/354","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -25. Suppose 32*x - 6*x = 182. Let o(n) = m*n**2 - 23*n**2 + x + 10*n**2 - 5*n. Determine o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7502023\/372 - 80661\/4. Let q = 2\/93 + d. Let o be -3*9\/12 - -2. What is the smallest value in q, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/30 + 41*q**5\/15 + 22*q**4\/3 - 56*q**3 - 2853*q**2. Find k, given that z(k) = 0.\nAnswer: -2, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5713 (b) -1\/9 (c) 1\/4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1368500 to the nearest ten thousand.\nAnswer: -1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21089?\nAnswer: 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4948 + 4434 = -609*t + 2074 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 8343 and -473.\nAnswer: 7870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -32 + 12. Suppose -w + 72 = g*d + 19, 0 = -2*w + 2*d + 82. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 345846, 691674, 1037502, 1383330, 1729158?\n\"Answer: 345828*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bb9 (base 12) to base 15.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -22159495?\nAnswer: 6647848.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263 - -109. Let t = -153.8 - k. Which is the nearest to 0.2? (a) t (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 333*k + 1 = -336*k, 10 = w - 4*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 247196171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*l + 5*m + 56 = -139*l, 2*l + 3*m = -35. Let t(u) = u**3 + 9*u**2 + 25*u + 76. Give t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 12*y = -105. Let k be (-55 + -3)*1\/(-2). Let q = y + k. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 32*d**2 + 14*d**2 + 12*d**2 + 15*d**2 - 11*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Suppose 4*o - 5*o + 1 = 0. Let i be z(o). What is the second biggest value in 1\/2, i, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((4\/18)\/(50\/300))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/5 + 8964*g**2\/5 + 53703*g\/5 + 80514\/5 = 0 for g.\nAnswer: -2982, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -35. Which is the nearest to -0.1? (a) p (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.8 - 8. Let k = -0.7 - -1.1. What is the second smallest value in k, 4, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*h = -0*h - 12, 2*h = -2*j + 24. Suppose 277*d + 18 = 283*d. Calculate the highest common divisor of j and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1806.94 + 1.4119\nAnswer: 1808.3519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(704) + 1 + (1 + sqrt(704) - sqrt(704)) + 5))**2.\nAnswer: 3600*sqrt(11) + 19625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 4*s + 4*s + (523*s - 868*s - 676*s)*(-1 + 0 + 2)*(5*s - 4*s + 0*s))*(-4 + 2 - 2).\nAnswer: 4076*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -172*m**2 - 61?\nAnswer: -344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -1.5147, -2, -1\/8, 0.4, -1\/4?\nAnswer: -1.5147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55065 - (2\/(-4) - 0)\/((-4)\/64)?\nAnswer: 55057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9232, 19873, 31916, 45361, 60208?\nAnswer: 76457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14754*a**2 - 29234*a**2 + 8*a + 14475*a**2.\nAnswer: -5*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**3 + 33*v**2 - 33*v - 43. Let p be d(-9). Solve 3*h = -5*s - p, -14 = 4*s - 4*h + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(700))*5 + sqrt(700) + sqrt(700) + 3)**2 + -2.\nAnswer: 1120*sqrt(7) + 34362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001211221 (base 3) to base 5.\nAnswer: -141321434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 33. What is the derivative of -h - 21*d + 17*d + 27*d wrt d?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801760?\nAnswer: 2, 5, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(50) + sqrt(800) + sqrt(50)) + sqrt(50)*-1*6)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 543782 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3032158564.\nAnswer: 2, 47, 1913, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**3\/3 - 7*g**2\/2 - 10*g. What is the lowest common multiple of d(-6) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81677?\nAnswer: 81677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421540118.1 rounded to the nearest 100000?\nAnswer: 2421500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0 + 1 - -10. Suppose -4*i = -104 + 88. Suppose -4*d - 4*s + 12 = 0, -i*d + 5*s = s - u. Solve d + 2 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 3, h: 2, j: 6}. What is prob of picking 2 h and 1 j?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306383*c**3 - 2 + 4 + 306384*c**3 - 2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30359.44 millennia in decades?\nAnswer: 3035944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -586*-1.299315\nAnswer: 761.39859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -2285 in increasing order.\nAnswer: -2285, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 102*m**4 - 103*m**4 + m - 9*m**2 - m**3 + m to the form z + i*m**3 + d*m**4 + u*m + x*m**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 6*z + 247 - z - 15*z + 6*z to h + k*z and give h.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let a(k) = k**2 + 21*k + 73. Let f be a(-4). Suppose -s = -h*s + f. Solve -11 = -4*y + s*g + 5, -g = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -148b968 - -16?\nAnswer: -148b952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 r when three letters picked without replacement from rsosrsrsssosorrs.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 112078728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.32547 to two dps.\nAnswer: 21.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 18*u - 74. Let o be l(-12). Let x be (-34 - -2)\/o*1. Solve 32*s = 36*s - x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/((-80)\/8)*1\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181.1 + 181. Is a less than or equal to 16\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160324 times 25\nAnswer: 4008100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)*z**1*z**3\/(z\/(z\/z**(-5\/4))*z))\/((z\/(z**(-14)*z))\/(z*z**(-2\/33)))**(-32) assuming z is positive.\nAnswer: z**(13924\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -103*l**2\/2 + 226. Let c(d) = -3*d**2. What is w(c(s))?\nAnswer: 309*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, s: 4, j: 1, m: 1, c: 2, f: 1}. What is prob of picking 1 c, 1 m, 1 f, and 1 s?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffxnfffxff. Give prob of sequence nx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -43?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -825264, -1650526, -2475788, -3301050, -4126312, -4951574?\nAnswer: -5776836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 167 + 147 = 0. Let t = -224 + c. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 8*k - 4. Let i be u(6). Let r be ((-9)\/(-6))\/((-2)\/(-56)). Let s be (1 - 5)*r\/(-24). Solve -3*p = 2*v + 8, -s*v + 2*v - i = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilaimac. Give prob of sequence acia.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 19\/178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 1421?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 5*q**4 + 2*q**4 + (0 + 1 - 3)*(0*q + 0*q - 2*q**4) + (-4*q**2 + q**2 + 4*q**2)*(5*q**2 + 4*q**2 - 4*q**2).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - p - 16, 4*w - p + 6 = 27. Let o(c) = 2*c**2 - 3*c + 1. Let g be o(2). Solve -w - 4 = g*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11986182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/9 + 11*m\/9 + 14\/3.\nAnswer: -(m - 14)*(m + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1142637, 2285105, 3427573?\nAnswer: 4570041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 18*v**2 - 268*v + 145. What is h(17)?\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(1\/21)*d**(-7)\/(((d*d**(-1\/2))\/d)\/d) assuming d is positive.\nAnswer: d**(-227\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (285\/25 - 12)\/((-84)\/160). What is the nearest to -1\/4 in -5, -11, d, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1671538 and -2.9.\nAnswer: -4847460.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 237485, 237484, 237483, 237482, 237481, 237480?\n\"Answer: -v + 237486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97110875 or 97110873?\nAnswer: 97110873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 45 = -n. Let q = -1366 + 2825\/2. What is the common denominator of q and (-26)\/(-54)*(0 - n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**2*r**2 + 405*n**2*r - 25*n*r**2 + r wrt r.\nAnswer: -6*n**2 - 50*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 67?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1156018, 4624098, 10404232, 18496420?\n\"Answer: 1156027*v**2 - v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let h(o) = -v + 2 - o**2 - 3*o. Let x = -24 + 21. Give h(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:33 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 9\nAnswer: 142\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-21)\/36*-21*4 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(7) + -5*(sqrt(7) + 0)) + -1)**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*i**2\/8 - 41*i\/8 + 15\/2 = 0. Calculate i.\nAnswer: 20\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/383 + 2315\/6511. Let m be -15 + (3774\/15)\/17. What is the closest to -2 in u, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7369 by 684.\nAnswer: -7369\/684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712*-0.3.\nAnswer: -213.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-472)\/6*39\/(-52) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/9 + (84906\/68688 - 4\/6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 0)\/(4 - (-164284)\/(-41068)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50268 and 1593?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 4*y - 4. Let l(b) = -b - 2*b + 0*b. Let s be l(2). What are the prime factors of o(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39762 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5466578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 247?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105720.\nAnswer: 2, 3, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4421, 8854, 13289, 17726, 22165, 26606?\n\"Answer: r**2 + 4430*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 - 249.\nAnswer: -249.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(-10))*u**(1\/14))**(-4)\/((u**(2\/9))**(1\/11))**20 assuming u is positive.\nAnswer: u**(24470\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2, 3, 177 in ascending order.\nAnswer: -4, -1, 2, 3, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from iiaiibiiiigggaibiig?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16 + 16 - 2*r**2 + 5*r**2 + 6*r wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 1)*(2 - 6 + 3) + 0 + 2 + 0)*(3*o**4 - 3*o**4 + 2*o**4).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13011 (base 4) in base 3?\nAnswer: 121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from 22.05396821.\nAnswer: 29.05396821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -254\/119 - 1\/119. Are -3 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*t - 16 = -0*o, -5*t = -4*o + 20. Let z be ((-15)\/(-4))\/(469\/56 + -8). Solve o = 2*a - 0 + 6, -2*i - z = 2*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(100))\/(sqrt(2) + sqrt(2) + 2*sqrt(50)))\/(-4*-3*(-1*sqrt(100)*5)\/sqrt(10)).\nAnswer: sqrt(5)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/7035208 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 22\/3, 0.2, -4, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245294, 245247, 245200, 245153, 245106, 245059?\nAnswer: 245012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 - 99*p + 111*p**2 + 101*p.\nAnswer: 95*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Suppose k = 5*b - 10, -5*b + 37177310 = -4*p + 7177300. Round p to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 19 - 2*c - 42 + 5 - c - c - c + (4*c + 2*c - 5*c)*(-2 + 2 + 2).\nAnswer: -3*c - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - (-238)\/42. Suppose g*d - 111 - 109 = 0. Suppose z + d = h, h - 3*z - 36 - 18 = 0. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39826479 and 284131.\nAnswer: 40110610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzfzzzfzzzsszz. Give prob of sequence ssz.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, 0.3, -0.4, -0.1, 29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*f**3 + 7*f**3 - 45*f + 49*f as t*f**2 + y + z*f**3 + d*f and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 7*h + 6. Let c(t) = t**2 - 8*t + 6. Let d(k) = -2*c(k) + 3*l(k). Let w be d(7). Solve -4*n + w = -3*u - 0*u, 4*n = -3*u + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/10 - (-80)\/(-200). Which is the closest to -1? (a) t (b) 130 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 5:41 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3 + 1925*z**2 - 7635*z + 5715 = 0?\nAnswer: 1, 3, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-3))\/((-20)\/(-24)). Suppose 2*k + 2 = 4*k + p, -2 = -2*k + p. What are the prime factors of k*(240 - -4)\/u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28817785 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18)*(-990)\/275?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03828 - 0.16172. Sort 5, r, -5, 2\/3, 0.5 in descending order.\nAnswer: 5, 2\/3, 0.5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41910 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*v = -37*v - 440 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5332 and 516.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 8:58 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73272\/(-1548) + ((-82)\/(-30) - -2*(-4)\/20)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 6 - 0. Let l(a) = -a**2. Let b(w) = -11*w**2 + 5*w. Let u(h) = j*l(h) + b(h). Find the second derivative of u(v) wrt v.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 - (-13)\/(-2). Let x be 4\/z*1*-3. Let n be (-5)\/(-200)*-22 - (-7)\/(-35). What is the biggest value in n, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 2590182674.\nAnswer: 2590182670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5434583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -54. Let u = -12 + 26. What is the remainder when l is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1901 and -59845323.\nAnswer: -59847224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d**3 + 1\/30*d**5 - 2*d**2 + 0*d - 1\/6*d**4 + 0. What is the second derivative of r(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279956208 a multiple of 3217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-20)\/(r*r**4)*r*r\/r**1*r*((r**(1\/5)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 223470 and 420?\nAnswer: 3128580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*10\/(-5). Let k = o - -3. Put k, 4, -4 in decreasing order.\nAnswer: 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 4*r**2 + 5*r. What is the remainder when 57 is divided by y(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 4:46 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 1 r when three letters picked without replacement from brccocd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -1 + 19 + (681 - 724).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4625, 36759, 123779, 293063, 571989, 987935, 1568279, 2340399?\n\"Answer: 4563*t**3 + 65*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 110020?\nAnswer: -102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - 2)*2\/(-2). Let w = 13 + j. Suppose 0*s - w*s + 12 = 0. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-146922)\/(-1692))\/((-273)\/(-90) - 3) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y + 2*y**4 - 11*y**2 - 6*y - 15*y**2 + 21*y**2 to the form j*y**2 + w + p*y**3 + d*y**4 + l*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2966933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 - 6 = n, -3*n - 4*h - 17 = 0. Let y be 16\/80*1*5. Let a be -3*y\/n*-1. Is 0 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12766836959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(11\/2)*(x**(9\/5)*x*x)\/x assuming x is positive.\nAnswer: x**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994*j - 94444 + 6607 = -14*j + 3643*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4624 and 1360?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, 20, 58, 96, 134?\n\"Answer: 38*o - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19)*c**(-2)*c**(-3\/8)\/(c\/(c*c**(-5)*c)*c))**(-4) assuming c is positive.\nAnswer: c**(1137\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 5700a8?\nAnswer: -57009b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Suppose 3*q - d*q = 7. Let o = 5 - q. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. What is the remainder when 1\/(58\/14 + -4) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-2)*(-8)\/(-10). Let k = 23491.9 + -23492. Which is the closest to -2\/5? (a) -1\/4 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -62. Let i be t - (-1)\/(-1) - 1. Calculate the greatest common factor of 90 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48602046 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -260, -205, -84, 109, 380, 735?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 36 = 3*o - 4*l - 5*l, -620 = 45*o + 334*l - 339*l for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4\/3 + 30*v**3 - 4600*v**2\/3 + 15360*v - 140800\/3 = 0. What is v?\nAnswer: -44, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -7. Solve x*r + 2 = -18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s**2 + 10*s - 4. Let m be i(3). Let t(j) be the first derivative of j**2\/2 - 4*j - 2. Let w be t(m). Solve -w = l - 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:44 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 + 19)*(692\/(-688) - 4 - (-65)\/13).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -14 + (-16 - -70) + -25?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1710 and 9.5.\nAnswer: -1700.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 473 - 489. Let j be -7 - (700\/h)\/7. What is the third smallest value in 0.5, -2\/9, 2\/21, j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (16 + 11 + -30)) + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 841, 1940, 3481, 5464?\nAnswer: 7889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x\/x**6)\/x)\/x)\/(x*x**(-1\/15)))\/(x**2\/(x**(-1\/3)\/x)))**(-50))**(-1\/65) assuming x is positive.\nAnswer: x**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14372200?\nAnswer: 2, 5, 71861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.412 to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:22 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50177 is divided by 12190.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4354907 and 24973?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -174 - e?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10489 + 10489. Let s = -7.7 - -8. Suppose 0 = -4*v + 5*x - 9, v + 0*v + 2*x - 14 = 0. Which is the second biggest value? (a) y (b) s (c) v (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -22. Suppose -636 = -2*c + p*w, -43*c + 45*c = -w + 633. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from vyvd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1144\/(-6006))\/(6\/(-49)))\/((-10)\/45)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by -6.\nAnswer: -139\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1092 and 4004?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -5 + 5 + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2857153 and 415232?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1 + (-4 + 1 + 1)*(3 + 3 - 4) + 1 - 1 - 1)*(0 + n + 0).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252 (base 13) to base 15.\nAnswer: -1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 9*p**2 - 11*p**3 + 1121 - 1139 + 20*p**3 to the form q*p**2 + o*p + v + h*p**3 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 235 + -1171\/5. Let s be ((-12)\/162)\/((-1)\/(-3)). Put r, s, -2 in decreasing order.\nAnswer: r, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/5 or 11\/2?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Suppose -k = -5*k - 4. Let d be 1\/k*(0 + 1). Let g(n) = -21*n. Let x(v) = v. Let j(r) = d*g(r) - 18*x(r). Give c(j(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14560*a**3 - 7933*a**3 - 58*a**2 + 58*a**2.\nAnswer: -22493*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 40*u.\nAnswer: -2*u*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -50.\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or -349207\/2?\nAnswer: -349207\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/7 + 9*f**4\/7 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1287)\/108 + 12)*-6. Which is the fourth biggest value? (a) -3 (b) -0.1 (c) 6 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 a factor of 39163572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*f - 6, -4*s = -5*f + 5 - 32. Let k = -26 + 29. Suppose 5*d - k*d - 42 = 0. Solve 3*l - 6 = s*j, 3 = j - 5*l + d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121020010 (base 3) in base 15?\nAnswer: 950c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3479.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 1356 - 1356.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -15 - (11 + 19)\/(-15). Solve -10*s + k = -45 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -10. Suppose 4*i + 21 = -3*z + 8*z, -4*z + o*i = -12. Put z, -2, 2 in descending order.\nAnswer: 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**3 - 26*h**2 - 7\/24*h**4 + 0 + 0*h + 1\/120*h**6 - 1\/15*h**5. What is p(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -17 + 45. Let d be (1 + 0 + -3)*-3. Is a smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 77. Let h = o + -31. Put -5, h, -9 in decreasing order.\nAnswer: h, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 40 = 2*j - 6*j, -3*j + m + 17 = 0. Let n be 820\/80 + -2 + j\/4. Suppose 2 = 8*t - n*t. What is the nearest to t in -1\/5, 5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 4509.\nAnswer: -4508.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1087, -970, -671, -100, 833?\n\"Answer: 15*n**3 + n**2 + 9*n - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11423 is divided by 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let z(l) = -l**2 - l - 1. Suppose -2*q - 6 = -4*q. Let r(v) = -7*v**2 - 3*v - 3. Let b(k) = q*z(k) - r(k). What is b(u(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*z - 52*z**3 - 84*z**2 + 44\/5*z**4 + 56\/5 = 0. Calculate z.\nAnswer: -2, -1\/11, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 49*o + 5 - 1.\nAnswer: -49*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**7\/1470 + 3*o**6\/280 + 11*o**5\/210 - 16*o**3\/21 - o**2 + 7. Find c such that g(c) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 52.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 477465 - -44.4?\nAnswer: 477509.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:19 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12 + -3 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(48) - (-4 + (1*sqrt(3) - sqrt(3))))*-1.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3676604, 14706408, 33089414, 58825622?\n\"Answer: 3676601*b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-200)\/24)\/(-5))\/(-5*(-6)\/(-450))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11076 is divided by 1581.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2069 + 3*d + 2069.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5140 to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116186 is divided by 5179?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g - 9 = 0. Let f be 204\/(g + 1)*-1. Suppose -f - 17 = -4*h + t, -4*h + 4*t + 116 = 0. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 4*m**2 + 35. Let x(z) = z. Determine j(x(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25235506 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58096552, -116193103, -174289654, -232386205?\nAnswer: -290482756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(-155))\/((-64)\/4800)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-5))\/((-120)\/(-1200)). Put -13, -7, q in descending order.\nAnswer: q, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156003 (base 10) to base 16\nAnswer: 26163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o**2 - 2*o + 134. Determine s(0).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 3, a: 5}. What is prob of sequence jc?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -198*(12\/(-8) - -1). What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 25 + 40*u**3 - 3*u**2 - 4*u**4 + 5*u**2 + 2*u**2 + 6*u**4 in the form y + a*u**2 + g*u**3 + k*u**4 + b*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*c**3\/7 + 34*c**2\/7 + 1160*c\/7 - 4150\/7.\nAnswer: -2*(c - 5)**2*(10*c + 83)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 95*z**2 + 945*z - 14787. What is p(86)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 5*j**2 - j - 3. Let x be y(-5). Suppose -x*t + t + 17 = 0. What is the remainder when t - (1 + 3 - 3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.691 and -1626007719.\nAnswer: -1626007721.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*c - 571 = 0, -4*n + c + 1175 = 2*c. Let i = n - 160. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 60?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5131*d + 102658. Give z(20).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041204 rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332162 (base 8) in base 15?\nAnswer: 12b1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*o + 5, -3*r - 44 = -7*o + 2*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and -103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 6, a: 11}. Give prob of picking 2 t, 1 a, and 1 h.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 + 143305324?\nAnswer: 143305054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 382117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5405085115.\nAnswer: 5, 1081017023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1274*p - 4729 + 27086 + 19202 = -6853 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a factor of 315104258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204814705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5 = -5*s + 4*s, -5*a = 5*s + 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -15723?\nAnswer: 15722.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -203*z - 26. Let v(y) = 102*y + 13. Let c(p) = 3*b(p) + 7*v(p). Let r be c(-6). Let d = 12453\/20 + r. What is the common denominator of 133\/12 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + v**5 + 0*v**3 + (39*v**2 + 4*v**3 - 39*v**2)*(-v**2 + 0*v**2 - v**2)*(3 - 4 + 15).\nAnswer: -111*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 4*z + 1. Let p be a(3). Let l be (46\/4)\/((-2)\/p). Let x = l + 41. What is the remainder when 69 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 2*d**2 + d - 2. Let m be x(-3). Let g be (3\/(-4))\/((-1)\/m). Suppose -b - g + 19 = 0. Solve -5*f = -f + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 57*o + 2278 = -60*o, 5*x - 5657 = -2*o. What is the lowest common multiple of x and 3?\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*n = 1 + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 27 - 39 = 0. Let c = 242 - 223. Suppose -c*v = -17*v - 8. Solve f + 14 = 6*f + 2*z, -v*f + 2*z = -m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004912079 rounded to 7 dps?\nAnswer: -0.0004912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 561 divide 1010361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -59. Let g = b - 27. Which is greater: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -132 - 35) + (1 - (0 - 5))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-6 - (-5 + -6)) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + s - 2*s + s - 3*s + 0*s + (-1 - 2 + 1)*(s + 0 + 0) + 8*s - 10*s - 18*s)*(s**2 + 3 - 3) as p*s + g*s**2 + i + m*s**3 and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (649 + 93 - 139)*(-3*p**2 + 3 - 3) - p**2 + 4*p**2 + p**2 to d*p**2 + j*p + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0711326158 to five dps.\nAnswer: 0.07113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/12 - 11*g**3\/6 - 11*g**2\/2 - 5*g - 1. Let m(o) be the first derivative of z(o). List the prime factors of m(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 3*l + l)*(-2*l - l**2 + 2*l) - 3 - l**3 + 3 - 9*l**3 - 3*l + 3*l in the form x*l**2 + q*l**3 + n + g*l and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = 4. What is the remainder when 6 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 138 + 5*t + 66 as p*t + u and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*d**5 - 2*d**4*w + 76*d**3*w + d**2*w - 37802*d**2 wrt d.\nAnswer: -840*d**2 - 48*d*w + 456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 6*v - v + 15*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 98. Suppose -3*b + 5*q = -72 - 661, 4*b - 958 = -x*q. Is 45 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0658025546 to 5 decimal places.\nAnswer: -0.0658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -258 + 2330\/9. Let k be 2\/(-1) - (-36)\/17. Put d, k, -1 in decreasing order.\nAnswer: d, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 8 - 8)*(m**2 + 0*m**2 + m**2) - 12*m**3 + 4*m**4 + 12*m**3.\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 8) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77532 divided by -19383.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z - 2 + 7 + 4*z**2 + 4*z**2 - z**2. Let o(b) = -8*b**2 + 7*b - 6. Calculate -7*j(x) - 6*o(x).\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:16 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9558 + 10566. What is the lowest common multiple of 36 and c?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - m = -15, -2*m = 5*z - 0*m + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -5 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 16\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 25. Let m(v) = 5*v + 51. Let z(l) = 6*m(l) - 13*y(l). Let u be z(4). Which is the second smallest value? (a) -2\/5 (b) -2\/11 (c) 5\/4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 67. Let j be 3 + x\/24*2. Let d = -3 + 2. Is d < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678810 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1131)\/(-5481) - (-7)\/(-9). Which is the closest to 3? (a) n (b) -369 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-6 - -3)\/(-3). Suppose p*f - 129 = 51. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -35*l**2\/2 + 4*l - 3240. Let d(m) = m + 1. Determine 5*d(b) - g(b).\nAnswer: 40*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(49)\/(sqrt(7) - -1*sqrt(7)) + 1 + sqrt(847))**2 - (sqrt(847) + -1 + -1*sqrt(7)*6))*1.\nAnswer: 18*sqrt(7) + 3719\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 5, f: 2, a: 7, u: 1, x: 1}. What is prob of sequence xuf?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 192376.43658 and -637.\nAnswer: 191739.43658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-6) + (10\/(-75) - (-344)\/(-645)) + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o**2 - 28*o + 5. Let y(p) = 6*p**2 + 27*p - 4. Let b(z) = 4*f(z) + 5*y(z). Let r(s) = 2*s. Determine b(r(u)).\nAnswer: -8*u**2 + 46*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0 + 1\/6*p**4 + 5*p + 0*p**2 - p**3. What is the second derivative of g(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:42 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 4\/3, 6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4.9 (b) -5\/4 (c) 2 (d) -1\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Let p(a) be the third derivative of -149*a**4\/24 - 216*a**2. Give b(p(y)).\nAnswer: -22201*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/55530 and 77\/10?\nAnswer: 55530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (33 - 39 - -1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39\/7? (a) 4\/3 (b) -1 (c) -0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 + 5*d**2 - 3. Let j(r) be the first derivative of 7*r**4\/2 - 14*r**3\/3 + 8*r - 5. Calculate 3*j(g) + 8*s(g).\nAnswer: 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + 3.2. Which is the second biggest value? (a) s (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2797 + 2795. Which is the closest to 0? (a) 0.1 (b) g (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.05 + 0.05. Let h = -3.084 - -2.784. Which is the closest to 0.1? (a) 2 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -1.5, 21, 1\/58 in decreasing order.\nAnswer: 33, 21, 1\/58, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 3*b - 5*b**3 - 6*b**4 + 29*b**4 - 9*b - 2*b**3 + 6*b**3 to r*b**2 + a*b**3 + q*b + i*b**4 + v and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14213, -14641, -15069?\n\"Answer: -428*x - 13785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 313\/3 (b) -2 (c) -6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -428 + 855. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/(36\/(-930))*53\/265?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {a: 1, e: 5, m: 4, p: 1}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5*k**2 + 28 + 0 - 4*k**2.\nAnswer: k**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70, -307, -708, -1273?\n\"Answer: -82*y**2 + 9*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + (46 - -3 - (128 - 144)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(6)\/(sqrt(2) + ((sqrt(32)\/sqrt(2))\/sqrt(8) - sqrt(2))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5*8\/(-60))\/(2\/(-3)). Suppose -4*x + 5*x - 3 = 0. Solve x*b + y + 0*y - i = 0, b - 3 = -y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*v*w**2 + 699*h*v + 95*h + 235*v*w**2 + 120*w**2 with respect to w.\nAnswer: -4*h*v*w + 470*v*w + 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20172 and -95\/66.\nAnswer: 221892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = 153*l - 138 + 258. Is 2343 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.4 * -36\nAnswer: -698.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12 + -4 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-nine fifths of a microsecond?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -4*h + 2*z, -3*h - 5*z + 89 = -h. Suppose -6*m + h = -107. Calculate the remainder when 94 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -133. Let q = i - -113.9. Round q to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y**(-8)*y)**(-13) assuming y is positive.\nAnswer: y**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 5, g: 7}. What is prob of picking 2 g and 1 z?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkvwvvkvwvvv. What is prob of sequence wkww?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1126 - 1128. What is the closest to f in 3, -8, -3, -69?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -352 - 181?\nAnswer: -4d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*z + 132 = 6*f, -z = -3. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 5*r**2 - 4 + 4*r**3 - 8*r**2. Determine s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1554 and 2080806.\nAnswer: 2080806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/14 - (-1185)\/(-21). Let q be 14\/j + (-26)\/(-8). What is the units digit of (q\/(-3))\/1 - -32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p - 51*p = -31*p + 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13 + 27 + 2*a + 19 + 1. Let v be s(-16). Let m(n) = -n**3 + 3*n**2 - 3*n. What is m(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 931\/93 + -21\/31. Is 10 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 5, 1.4, -2, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 26923?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 710 divide 2152437420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -50*p - 1078. Let i(m) = 37*m + 1077. What is 4*i(x) + 3*s(x)?\nAnswer: -2*x + 1074","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07382 to 3 dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70386 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29dc2 + -5?\nAnswer: -29dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0066 + -4.9934. Let x be (-2)\/3*(-2)\/(-8). Which is the smallest value? (a) w (b) 1\/6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410831*-3\nAnswer: -1232493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -11, -11, -5, 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -19*x - 482. Let n be i(-25). Is n >= -814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*p = -18, -5*x - 7*p - 37 = -4*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131227 by -5.\nAnswer: -131227\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 96*i**2 - 3. Let n(z) = -2*z**2. Calculate o(n(u)).\nAnswer: 384*u**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 3*r - 3. Let d(j) = -11*j**2 - 20*j + 11. Let g(p) = -5*p**2 - 9*p + 5. Let i(w) = 4*d(w) - 9*g(w). What is 3*i(x) - m(x)?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-38 - (-10 - 44)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**3\/3 + j**2 - 48*j + 59. Let t = 1 + 1. Let p(f) = 4*f - 4. Give t*p(b) + 5*w(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*z**2 + 390*z**2 - 10 - 3*z + 21 + 8.\nAnswer: 242*z**2 - 3*z + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330223?\nAnswer: 29, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 3*m - 9 = 0, -278332*p - m = -278334*p + 4*m - 27 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = i + 1. Suppose i*t = 3*t + 8. Suppose -t*k + 38 = 6. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:41 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/45300 and 17\/2200.\nAnswer: 996600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**7)\/(r*r**5))\/((r**7\/r)\/r**(-2\/9)))\/((r\/r**(1\/3))**23*((r\/r**0)\/r)**(-35)) assuming r is positive.\nAnswer: r**(-302\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 41\/5, -0.02, 2, -1\/3, -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 742 - 490. Suppose -2*a - 4*m = 3*a - j, 4*a + 3*m - 202 = 0. Calculate the highest common factor of a and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 5*u**2 - 2*u + 3. Let o be v(5). Let f(x) = x**3 + 7*x**2 + x + 7. Let w be f(o). Let h(q) = w*q + 2*q - q**3 - 6*q - 5*q**2. Calculate h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from jejqejjjqq.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 378\/(-56) - (-6)\/8. Let o be (f - (-3 + -1)) + 13. Let d(q) = -q**2 - 12*q - 9. Let j be d(-10). What is the highest common divisor of j and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + 0\/(-4) + -7. Let w(k) = k**3 + 5*k**2 - 2*k + 11. Let b(p) = -p**3 - 5*p**2 + 3*p - 10. Let j(q) = -3*b(q) - 2*w(q). Calculate j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -4 - (-2 - (-64)\/30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {x: 1, o: 3, n: 3, a: 2, e: 1, p: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1644225 and 6600?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**6\/2 + 12*q**5\/5 + 15*q**4 + 10*q**3 - 57*q**2\/2 - 42*q + 705. Solve g(a) = 0 for a.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 - 11*x - 11. Suppose -30 + 0 = 3*d. Let y be g(d). Let a be (-3 - -7)*y\/(-26). What is the smallest value in a, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -96*p + 441. What is the thousands digit of j(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.2 - -2.2. Let w = -42.6 - n. Which is the biggest value? (a) w (b) -2\/3 (c) 1\/6 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 18. Suppose 0 = 4*i - g + 1, 3*i - 5*g = -p*g - 5. Let f(y) = y + 0 - 6*y + i. Let m(x) = -2*x**2. What is m(f(v))?\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**3*z**2 - x**3 + 2*x**2*z**3 + 6*x**2*z + 2*x*z + 5*x - 782955*z**2 + 486*z wrt z?\nAnswer: -2*x**3 + 12*x**2*z - 1565910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6506)\/(-3))\/(1\/747). Suppose -3*c - 1620002 = -i, -c + 3*i + b = -4*c. Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5 - 464*m**4 + 14788*m**3 - 77912*m**2 + 148720*m - 96800 = 0?\nAnswer: 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.39 in -49\/8, -1, 6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 3*w - 5. Let n = 160 - 157. Let t(d) be the third derivative of d**5\/10 + d**4\/3 - 7*d**3\/3 - d**2. Let v(r) = n*t(r) - 8*h(r). Factor v(o).\nAnswer: 2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/((-4760)\/3402)*(-6)\/(-558) and -89\/36?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 225697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -46, -49, -52?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Let v = z + 0. Suppose -x + 284995 = 5*i, -4*i = v*x - 2830 - 225145. What is i rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8606327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 619268746 to the power of 1\/3, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61237071 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 7:23 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 4*n**2 + 3*n + 3. Let y be j(3). Let q(x) = 4*x - y*x + 5*x + 0*x. Let p(u) = 3*u**2 - 4*u**2 + 2*u**2. Determine p(q(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from knnnknkknk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53477?\nAnswer: 53, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a779b (base 16) in base 4?\nAnswer: -22213132123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*v - 42*v + 12*v**4 + 0 - 3*v**4 + 0 + 4*v**2 - 2*v**4 - 4*v**2 + (v**2 - 4*v + 4*v)*(0*v**2 + v**2 - 2*v**2) + 4*v**2 + 3*v**4 - 4*v**2.\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128833408 divided by -54406.\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + 10\/6. Let w(m) be the second derivative of -9*m**5\/20 - m**4\/12 + m**3\/6 + 1060*m - 1. Give w(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 q when four letters picked without replacement from eeqenoeeeoqooqeenoe.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h - 72322 - 25862. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -383 - -385. Let g(p) = -14*p**2 + 11*p**v + p**2 + 4*p**2. Let s(n) = 52*n. Calculate g(s(k)).\nAnswer: 5408*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/120 + h**5\/10 + h**4\/3 + h**3\/3 - 114*h**2. Let t be a(-4). Solve t*n + 2 + 6 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/6347817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 649 by -1635.\nAnswer: -649\/1635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -791, -3392, -8893, -18368, -32891, -53536?\nAnswer: -81377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 10*s + 10. Let p be a(-11). Is 25 a factor of 7*(-7 - -12)\/(p + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6.2. Which is the closest to 0.2? (a) -5 (b) v (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 5 = 3*b, 0 = b - 5. Suppose 3*s = 2*s + 1, 5*s = -w*j + 165. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/(2\/(-10)). Let b be ((-2)\/(-3))\/(f\/(-3)). Let h be ((-28)\/7)\/(6\/(-12)). Calculate the highest common factor of b and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 68\/7, 0.064, 0.3, -39, -3, 2?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358255837?\nAnswer: 358255837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 - 14*n**3 + 18*n**2 + 13*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24 + (-7110)\/300 - (-4)\/120*-9. Determine w so that x - 6\/19*w**3 + 0*w - 4\/19*w**2 - 2\/19*w**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 99, 136, 191?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2877 and 137?\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = 10. Let x be -3 + 3 - m - -2. Suppose -c + 4*l - 16 = 0, -c + 6*c = -3*l + x. Solve c + 2 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*u - 821*u + 266*u + 256*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 20 = -c, -3*c + 5*i + 33 - 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445 + -34272.\nAnswer: -33827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/4)*v**9*v)\/(v**(-1\/19)*((v\/(v**4*v))\/v)\/v*v))**(-1\/8))**(16\/5) assuming v is positive.\nAnswer: v**(-1087\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -24.1.\nAnswer: -385.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109701?\nAnswer: 3, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56723 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 539688 and 3167682.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f + 8. Let a(t) = -71041 + 7*t + 71036 + 0*t. Let s be 8*1\/((-2)\/(-2)). Give s*a(z) + 5*j(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714831?\nAnswer: 3, 13, 18329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2390730?\nAnswer: 2, 3, 5, 79691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -809\/2 + 405. Let q be -13 + (-2)\/6*3. What is the second biggest value in -1, 0, q, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/28)\/(-9) + (-83)\/(-56).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 5. Let a be i(3). Suppose -a*p - 78008 = -3*q, 2*q + 3*p = 7219 + 44775. What is q rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2220 + 0*x - 2160)*(-13*x + 19*x**2 + 13*x).\nAnswer: 76*x**3 + 1140*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z = 73*z + 99 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*s - 68*s + 33*s + 111*s**2.\nAnswer: 111*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from evkvkeveevveefvvfe?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 - (-100 + 97)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(40\/52) + -5. Suppose 0 = -i*o - 34 + 1746. List the prime factors of o.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -3*n + 0 + 1\/12*n**4 + 1\/2*n**3 + 0*n**2. Find the second derivative of h(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261468571*3.\nAnswer: 784405713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(63\/1008).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n + 5*v + 37, 25 = -5*v. Let u(q) = -q**3 - 6*q**2 + 4*q + 44. Let g be u(-6). Put 0, 2, g, n in decreasing order.\nAnswer: g, 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28048 - 0.042?\nAnswer: 28047.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2816879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 109*n + 104*n = 329, -f + 107 = -3*n. Suppose 0 = w - 1165 - 643. What is the greatest common factor of f and w?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315607747 + 315607747 + 4*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/270900 and 58\/25?\nAnswer: 270900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + 4*b + 186. Let z(r) = -3*r**2 + b - 38 + 3*r**2 + 13*r + r**2. Let p be z(7). Calculate the greatest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 33 = 132 + 17 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11)*q*q**(2\/11)*q)\/((q*q*q\/((q\/q**(-2\/5))\/q)*q)\/(q*q**0)) assuming q is positive.\nAnswer: q**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 65, 183, 411, 785, 1341?\n\"Answer: 6*t**3 + t**2 - t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2947412 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15733 by 1.\nAnswer: 15733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + -2)*10\/(-15). Suppose 5*d = -2*i - 10, 3*d - 37 = -i - 44. Put 26, c, i in decreasing order.\nAnswer: 26, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4090260691 to the nearest integer?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a**5 - 714*a**4 + 6950*a**3 + 2802*a**2 - 4080*a + 800 = 0. What is a?\nAnswer: -1, 1\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3205 > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1475 and 15517.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 8?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 37202605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*i + 8*i = 262371, -65604 = -r + i. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*z - 34, h = -2*h + 3*z + 9. What is the least common multiple of h and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(78) - (sqrt(78)*2 + sqrt(78) + sqrt(78))) + sqrt(78))*-6)\/(2*(sqrt(486) + (sqrt(486) - sqrt(486)*-1)))*4)**2.\nAnswer: 3328\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6507447 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63 times 221345?\nAnswer: 139447.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -17*n + 1751. Let c = 124 - n. Solve x + c = g, -5*x - 10 = g + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2 - 2)*6. Let i be ((-13)\/(-195))\/(y\/(-10)). What is the nearest to 2\/9 in 1, -0.6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*h + i - 24, 5 = 3*h - 5*i. Solve -a + 29 = 2*k + 21, -h*k + 4*a = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) 0 (d) 2\/43 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2917333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 684091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -10c1?\nAnswer: -10c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499555 + 499555 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2936 and 185405464?\nAnswer: 2936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 125?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9374.807ml to litres.\nAnswer: 9.374807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12900665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 14 = 0, 4*j = 8*t - 339 + 379 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85\/22 greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12957777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16723 + 17282.85. Let l = f - 560. What is the fourth smallest value in l, -1, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, s: 2, p: 2, m: 1}. Give prob of sequence jjps.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 9723*d - 126227. Let b be i(-13). Let 0 - 23\/2*t**2 - 1\/2*t**4 - 7*t - 5*t**b = 0. What is t?\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32 - 88*r + 6*r**2 + 14*r**2 + 88*r with respect to r.\nAnswer: 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 59. Let w = 8 + -5. Suppose -n + w = -5. What is the smallest common multiple of t and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-21)*28\/6. Suppose -3*j + 73 = 2*g, r*j - 151 = -4*g + 3*j. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*1\/5 + 3. What is the nearest to v in -0.4, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332935, -332947, -332967, -332995, -333031?\nAnswer: -333075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.014 - 5.014. Sort 5, j, 3, 0 in ascending order.\nAnswer: j, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -2.141?\nAnswer: -2.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37\/22 + -233\/132. Which is the fourth biggest value? (a) -1 (b) -5 (c) -0.2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405835 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73674278.\nAnswer: 2, 431, 85469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -32*a + 58. Solve 0 = 5*h - 4*l - 26, -4*l + a = h + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:25 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:18 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)\/(2 + (-27)\/15). Put -1, -27, o in descending order.\nAnswer: -1, o, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + 0.05. Let x = -1 - -4. What is the third smallest value in 5, v, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 79. Suppose -2*d + 42 = 5*f, 5*f = -3*d - 5 + 63. Suppose 7*g + 5 = -d. Put g, -5, 4, m in descending order.\nAnswer: 4, m, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5533 * 0.2\nAnswer: 1106.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 164*r + 7. Let q be g(4). Suppose -2*t - 2 = 0, 0 = 5*x + 2*t - 680 - q. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/12 and -29\/1657418.\nAnswer: 9944508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4541477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9420500 and 350?\nAnswer: 65943500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/26, -79, 4, -2, -2\/13, 0.1 in descending order.\nAnswer: 4, 0.1, -3\/26, -2\/13, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3 + 12*b**2 - 4 + 3 - 13*b**2. Let c(m) = m**2 - 3. Calculate 4*c(h) + 7*s(h).\nAnswer: -3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 4*u + 1. Let l be r(-4). Let t(z) be the second derivative of -2*z**5\/5 + 327*z. Let b(n) = n**3. Give l*t(g) + 6*b(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1740 and 1305?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*s + 8*s**2 - 3 + 16*s**2 + 2.\nAnswer: 24*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1485225 divided by 287.\nAnswer: 5175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 4 + a - 18*a**3 - 23*a**3 + 42*a**3 + 17*a**2. Let n = 6 - -9. Calculate the lowest common multiple of z(-17) and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323609658 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/12)\/(-1))\/(28\/840)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23275434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25644 (base 7) to base 5\nAnswer: -204333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073312529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-30)*-18)\/(-1). Which is the nearest to -652? (a) 3 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -14. Let h be 360\/(-42)*7\/(-2 - -1). Let i be ((-37)\/y - 1)\/(h\/450). What is the highest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 1 - 25. Calculate the remainder when 141 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 0*s + 3*s + (5*s - 4*s + 3*s)*(-2 + 5 - 4) - 2*s - 33*s - 42*s to the form a*s + r and give a.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1956*15.71\nAnswer: 3.072876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 128 + 9 - 125 - 5*z**2 + 574*z - 573*z as f + g*z**2 + r*z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**14\/k))\/k**(2\/9))\/(k**0*k**(-9)\/k*k) assuming k is positive.\nAnswer: k**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 490? (a) 86\/63 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnvl when four letters picked without replacement from vlnlljnlvvnl.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/3 - 59*m**3 - 2531*m**2 + 16445*m\/3 + 7954 = 0.\nAnswer: -97, -82, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 7*k - 7. Let h be v(2). Put h, 4, 8 in decreasing order.\nAnswer: 8, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131491669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -2*d**7\/21 - d**4 - 2*d. Find the third derivative of j(m) wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 - b**2 - b - 1. Suppose 3*u = 34 - 10. Suppose 4*g + 4*a = 8, -g - 2*a + u = -3*g. What is j(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 542289661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 101*p**2 + 9*p - 44. Let z be b(6). Suppose t - 714 - z = -5*u, 0 = -2*t + 2*u + 8780. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-44 - -40 - -59 - (0 + -3 + -2))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 8.8. Let k = 15 - 26. Let x = k - u. Is x at least -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 - -4 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12816 = -13*z + 427*z - 148*z - 3772 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 3*r**2 - 4*r + 12 + 4 + 4*r**3 + 5*r**2 to the form h*r**3 + i*r + c + a*r**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 43, 63, 91?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 - 5)*(-5 - 1 + 4)*(-4 + 2*d**2 + 4).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4250.999994774 + 4251. Round j to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 525 + 58*y - 22*y - 33*y - 194 as v*y + r and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let o = w - -5. Let f = -7662 - -7694. What is the highest common factor of f and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/14*(5\/(-15) - (-2)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - 4*h)*(4 - 3 + 1)*(3*h + 5 - 5).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348.0403ng to micrograms.\nAnswer: 0.3480403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let p(w) = -665*w**2 + 27. Determine p(a(j)).\nAnswer: -665*j**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -14. Let w(q) = -4*q**3 - 5*q**2 + 5. Let n(d) be the second derivative of -3*d**5\/5 - 7*d**4\/6 + 7*d**2 - d - 164. Give k*w(b) - 5*n(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 599597 = -598946 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101162215 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -982719603?\nAnswer: -982719603.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 3 + 2*j**2 - 3 - j**3 to s*j**2 + d + f*j + t*j**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13) - ((-1980)\/(-195) + -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2540, 2388, 2136, 1784, 1332, 780?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 0, -60, -78?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30278 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4*s - 4*s)*(s**2 + s**2 + 0*s**2 + (-1 + s + 1)*(-s - 2*s + 4*s)).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from vwmahwmvjvvwvwvvw.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18093950 and 2584850?\nAnswer: 18093950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**3 + 5*q**2 + q. Let t(k) = -k**3 - 2*k**2. Let x be (1 + (-4)\/3)\/((-18)\/(-162)). Give x*s(j) - 8*t(j).\nAnswer: -j**3 + j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*t + 3*t + 2*t to the form c*t + f and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/10*1 + -186 + 182?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {a: 1, b: 2, v: 6, t: 5, z: 1, n: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 8*d**2 - 7*d + 7. Let f be c(-7). Find the second derivative of -10*b**3 + 5*b - f*b + b wrt b.\nAnswer: -60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 477581161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 159a75?\nAnswer: 159a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -438ed (base 15) to base 12\nAnswer: -a4274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 191*m + 2322. Calculate i(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/8)\/(2\/8). Let r(j) = -9*j**3 - 2*j**2 + 1. Let g be r(-1). List the prime factors of (-20 + g)\/(2\/f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(5*(sqrt(2) + -1)*-5 + (-1 + 2 + sqrt(72))**2).\nAnswer: -78*sqrt(2) + 591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 6*y + 69. Let a(c) = 4*c**2 + 19*c - 210. Calculate 4*a(l) + 13*b(l).\nAnswer: 3*l**2 - 2*l + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -12522*f + 12549*f + 92 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**6\/150 + 73*w**5\/100 - 183*w**4\/20 + 175*w**3\/6 - 40*w**2 + 754*w - 3. Factor b(f).\nAnswer: (f - 5)*(f - 1)**2*(f + 80)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snsnnns. Give prob of sequence nnn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x + 11*x + 2 - 1 + 2.\nAnswer: -27*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/(-23736)*92*(-558)\/(3\/1).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -231*o**2. Let v(t) = -7*t**2. Give v(r(w)).\nAnswer: -373527*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/30*6\/(-2). Let v(o) = -1. Let k(j) = -7*j - 5. Determine p*k(l) + 5*v(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101010111?\nAnswer: -101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.242?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -535*l**2 - 12*l - 2058. Let j(f) = 534*f**2 + 14*f + 2063. Let n(q) = 6*g(q) + 5*j(q). What is the first derivative of n(r) wrt r?\nAnswer: -1080*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**3\/3 - 7*h**2\/2 + h - 13. Let v = 2 + -9. Let z be p(v). Are 1 and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/39 and 47\/108.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 36 + 11 + -29?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + 8. Is j < 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/7)*d)\/d*d*d)**38\/((d**(-3)*d)\/(d**6\/d*d)))**(-2\/17) assuming d is positive.\nAnswer: d**(-1860\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2573759894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1*45\/6)\/(24\/(-32))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 439\/3 + -5677\/39. What is z in -12\/13*z**2 + 12\/13*z**4 - 8\/13*z**3 + l*z**5 - 2\/13*z + 0 = 0?\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(0 + 2\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2129\/3 - 710. Put -2, k, -0.1, -3, -1\/4 in decreasing order.\nAnswer: -0.1, -1\/4, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58519259 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d + 5*d + 0*d)*(-d + 2*d - 3*d) - 2*d**2 - d**2 + 4*d**2 - 4*d**2 - 6*d + 6*d)*(-d**2 - d + d).\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.75 - 2. Let s = -0.05 - m. Let k = s + 0.3. Which is the third smallest value? (a) 4 (b) k (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7248 * -0.3.\nAnswer: 2174.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 809041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 1, d: 3, k: 1}. What is prob of picking 1 k and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**15\/o*o)\/o)\/o)\/o*o**32)\/(o**(-3\/7)*((o*o\/(o*o**(30\/7)*o))\/o)\/o*o) assuming o is positive.\nAnswer: o**(355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 11, -5\/28?\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 810, 35, -1, 1\/2, -2?\nAnswer: 810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 28328189117 and 1.73.\nAnswer: 28328189118.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 17 + 1207. Suppose -4*h + 656 = -i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 38. Suppose j - 21 = 3*a, 4*j + 9 = j. Let m be l(a). What is the greatest common factor of 330 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g - 376 = -20*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -9*i + 18*i. Let b(y) be the third derivative of 0*y + 0*y**4 - 1\/10*y**5 + i + 4*y**2 + 1\/3*y**3. Find the first derivative of b(w) wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 15*i - 12. Let g be u(-12). Suppose -6*t + g = -0. Solve -t*o = -o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*x**2 + 94*x**2 + 23*x**2 + 60*x**2 + 55*x**2 - 294*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 6*r - 2, 3*v = 2*r + 175. What is the least common multiple of 33 and v?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/9 + 1708*r + 1570060 = 0?\nAnswer: -870, 16242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 124\/9, 1.5, -0.3, -44 in increasing order.\nAnswer: -44, -0.3, 1.5, 4, 124\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2730288 divided by 62\nAnswer: -1365144\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**7\/630 - 37*g**6\/90 + 1369*g**5\/30 + g**4\/2 + 105*g. Let c(m) be the third derivative of q(m). Factor c(f).\nAnswer: 4*(f - 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/30, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5466692?\nAnswer: 2, 7, 11, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*w = -5*g + 8, -2361 = 5*w + 3*g - 2377 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*d - 0*d + 165, -2*d = -5*y + 155. Let w be (12\/21)\/((-4)\/(-42)) - -2439. Suppose -26*j + y*j = w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzyyrzyrzzr. What is prob of picking 3 r?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3370 + 909 = -107*o. Solve 15*n + o = -22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*z = -257*z - 90 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/25 (c) -6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 183. Let y(u) = -u**3 + 20*u**2 - u + 26. Let f be y(20). Which is the third biggest value? (a) -0.4 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -380.335212 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:47 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -5, -5204 in ascending order.\nAnswer: -5204, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 248, 3, -2, -5, -21 in descending order.\nAnswer: 248, 3, 0, -1, -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, -1 in increasing order.\nAnswer: -19, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 5*s**2 + 6*s + 4. Let w be p(6). Solve -2*j = -4, 13 = -w*i + 5*j - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*4\/2)\/1. Let i(t) = -g*t**2 - 4*t + 4*t. Let x(k) be the first derivative of 2*k**3\/3 - 1. Calculate i(x(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -25. Let z(i) = -i + i**2 - 10*i - 5 - i - 3*i. What is the remainder when 52 is divided by z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7459.19 - -7492. Let u = q + 2.09. Let y = u - 35. Which is the third biggest value? (a) -5 (b) y (c) -2 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/8)\/(4\/((-64)\/4)). Suppose 5*d - 125 = -5*c, -s*d + 2*c = d - 118. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11298 (base 12) to base 3.\nAnswer: 1011100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 21*b - 52. Calculate v(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3) + 1)\/2*(-603)\/(-804)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -753181478*r**3 - 482251020*r?\nAnswer: -4519088868*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9438 + -9434. Suppose 3*s - 10 = 8*s. What is the fourth biggest value in 3, i, s, -0.01?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1439176066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133672 and 1475166?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.12.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3708450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -591741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -20*x - 29 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyeeeyeeee. What is prob of sequence ye?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = 3*j. What is the closest to 4\/5 in j, 0.3, -1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1619604304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - 2*l + 328, 0 = -5*l - 20. Let y = 172 + d. Solve 9*w = y*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207010.9 times -1?\nAnswer: 207010.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001480428457 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/23985 + 41257\/33579. Calculate the common denominator of t and 167\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3 - 3 - 7*k**2 + 13*k**2 - 4*k + 6*k - 7*k**2. Calculate g(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -0.02 (b) -4 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18.3, -4, 1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 6, 0, 4133, 19 in ascending order.\nAnswer: -76, 0, 6, 19, 4133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 2*z + z)*(-15 - 27 + 10)*(1 - 2 - 1) to the form k*z + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -4. Let w = i + 4. Let h = w - 22.2. Which is the second smallest value? (a) 4 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 4*a**2 + 0*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/120 + c**4\/2 + c**2. What is the second derivative of u(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**3 - 5*p**3 + 4*p**3)*(-2*p - 1 + 1)*(-32 + 16 + 61) to the form g + i*p + k*p**4 + m*p**2 + h*p**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7431 + -7387. Solve -18*s = -p - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 50780844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 100, 176, 282, 424, 608, 840, 1126?\n\"Answer: x**3 + 6*x**2 + 27*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 + 17*d**2 + 175 - 71*d - 339 + 69*d.\nAnswer: 17*d**2 - 2*d + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10 + 13*q**2 - 42*q**2 + 28*q**2 - 6*q. Determine a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -492, -987, -1482, -1977?\nAnswer: -2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 10\/11, -10, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = 0. Suppose -4*v - 5*x = -j*v - 87, 4*x = v - 6. Is 588\/v - 2\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/25 and -46\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 0.3 (b) -2\/5 (c) 0.2 (d) -4 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j + 2 + 8*j - 146*j - 6.\nAnswer: -168*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**7\/273 - 4*b**6\/195 + 3*b**5\/65 - 2*b**4\/39 + b**3\/39 + 2*b. What is h in d(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t*t\/t**(3\/2)*t)\/((t**1\/t)\/t)**29)\/((t\/(t\/(t*t**(2\/3)\/t)))**(-2\/53)\/((t*t**(2\/11))\/(t**(-4\/7)*t))) assuming t is positive.\nAnswer: t**(618967\/24486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 7*k**2 + 82*k - 10. Suppose -u = -5*y + 34, 5*y - 50 = -18*u + 23*u. Let f be g(y). Calculate the highest common divisor of f and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-420)*-42)\/(-11*(-4)\/495).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92, 380, 852, 1502, 2324, 3312?\n\"Answer: -q**3 + 98*q**2 + q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z + 390*z - 8970 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 11*q - 17. Let t be w(13). Let c = 74 + t. What is the greatest common factor of c and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/304 and 7\/190.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {x: 14, u: 4}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/3 - 32308*h\/3 - 3470950 = 0.\nAnswer: -15825, -329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.028 (b) -0.016 (c) -36 (d) 4\/3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 divided by 17335?\nAnswer: 328\/17335","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/3 + 4766*w**2\/3 + 53440*w - 4636800 = 0. Calculate w.\nAnswer: -72, 40, 2415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*r - 9 = -165*r. Put -6, r, 0, -3 in ascending order.\nAnswer: -6, -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.71\nAnswer: 0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3*s**4 + 23*o**3*s + 985*s**4 - s - 1 wrt s?\nAnswer: 24*o**3*s**2 + 11820*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13*r. Let m(o) = 664987*o**2 - 665134*o**2 + 0 + 3. Calculate h(m(q)).\nAnswer: -1911*q**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at most 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let y(n) = -2*n**3 + 18*n**2 - n + 8. Let m be y(9). Let r be 3 + (l + 2)*m. Let k(u) = 5*u - 1. Give k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1775 and 7881?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y - 20. Let w = y - 2. Let m = 4.6 + -5. Which is the smallest value? (a) -5 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -16, 23, 60, 95, 128, 159?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9763\/21 - -465. Let w = 0.72 + 6.78. Let r = 7.4 - w. What is the closest to r in 0.4, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-3)\/4566)\/(2\/(-4))). Let h = v - 4547\/6. What is the common denominator of h and -97\/152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11655)\/(-148))\/(-63))\/((-2)\/40)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*t**3 - 127*t**2 - 47698*t?\nAnswer: -60*t - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from {s: 3, p: 17}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 784117035 a multiple of 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52212 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38932 is divided by 378?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*q - 7*q**4 - q**4 + q**4 + 6*q wrt q?\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6 + 4. What is the second derivative of a*x - x - 2*x - x**3 + 0*x wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78827?\nAnswer: 7, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -934*x - 3777. Calculate g(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from bababb.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 67\/4 of a millimeter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246785251?\nAnswer: 1246785251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56740 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 7476*v**2 - 37287*v - 44766.\nAnswer: -3*(v - 2487)*(v - 6)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 9*d + 6. Let c be y(-9). Let u be (0 - 0) + (6 - 6). Suppose u = -3*z + c*z. Solve -2*h + z = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -412 + 407. Is -19 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*3 + sqrt(14))\/(-1*sqrt(252)).\nAnswer: -19*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - (22 - 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from qjqssqsqqqsqss?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1148*c**4 + 32*c - 15?\nAnswer: 13776*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*w - 7 = -0*y, -4*w = 4*y - 4. Let a be (2 - 0) + (-192)\/16. Does 10 divide (a\/y)\/((-14)\/(-168))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*n = -57224, 5*x + n - 16097 - 41115 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/6)*p*p)*p)**(3\/8))**(2\/99) assuming p is positive.\nAnswer: p**(-5\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 1376*o - o**4 - 1 + 1375*o + 9*o**2 + o**3 to the form l + u*o + c*o**4 + r*o**3 + b*o**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*b = p - 75, 4*b - 300 = p. Let t = b - 71. Calculate the remainder when (122\/(-8))\/(t*5\/(-80)) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9103.\nAnswer: 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2430 and 1755?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -847*i - 66. Let h be r(-4). Suppose 9*f - h = 10736. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 8*s - 12. Let x be a(-5). Sort -4, x, -3.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 q when three letters picked without replacement from zqbcqqzwqczq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**4\/24 - 5*w**3\/3 - 247*w**2 - w. Let o(h) = -3. What is -7*o(x) + 2*q(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*4005117.\nAnswer: 56071638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/3)\/p*p**23*p)**(-12) assuming p is positive.\nAnswer: p**(-316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 1. Suppose n = 7 + 39. Let w = n + -365\/8. Which is greater: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*q + 4, 14 = 5*v - 11. Let z(l) = -4*l - 2. Let p be z(q). Let s = p + -3. What is the greatest common factor of s and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 162.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2+385\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.10221 and 26.32.\nAnswer: 28.42221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6 - 4*k**2 - 39*k**3 - 124*k**3 + 1 to a*k**2 + q*k + l + i*k**3 and give i.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:27 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8098, 13204, 18298, 23374, 28426?\n\"Answer: -i**3 + 5113*i + 2986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282476728.\nAnswer: 2, 3, 7, 3517, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*p = 342, -448 = -4*x - 3*p + p. Calculate the highest common divisor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7\/9*(200 + -196).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-15))\/(204\/(-200) + 1). What is the highest common factor of q and 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/(-12))*90\/27. Is (-12)\/o + (-217386)\/(-15) 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 zqiqskbqbbkq. What is prob of sequence qq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -7 + 9 + (9 - 1). Let f be ((-24660)\/(-3))\/(u\/350). Round f to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, q: 2, a: 2, h: 6}. What is prob of sequence hq?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 2768943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.34 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by (-31 - -10)*(-216)\/42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -20, 4*j - 6*j = 5*s - 25. Let u = -22 + 19. Sort s, 5, u in decreasing order.\nAnswer: 5, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -6 - 3) + 15 + 910. Round a to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 39*x + 38 + (17*x + 9*x - 53*x)*(-2 + 4 - 4) as a*x + f and give a.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 134894686.5 nanoseconds?\nAnswer: 0.00000022304015625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 7:59 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.83 + -49.83. Let k = x - -53.9. Let b = k + -5. What is the closest to b in 3, 3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -3\/4*g**4 - 3*g**2 - 9\/2*g**3 - 1\/20*g**5 + 3*g + 0. Let y(j) be the first derivative of x(j). Suppose y(i) = 0. What is i?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z - 5*p - 6460 = -32*z, -4*z + 5188 = p. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 - -1011?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 25\/3*u**3 + 0*u - 7\/2*u**2 - 26. What is the second derivative of s(c) wrt c?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.9 * -3\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26955727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12611 = -207*y + 5159 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*n**3 + 3*g**3 - 3*g**2*n**2 + 7*g*n**3 + 8*g*n - 6*n**3 wrt n?\nAnswer: 6*g**3 + 42*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f**3 + 11*f**2 - 26*f - 711. Let m(g) = -g**3 + g**2 + 4*g. Let i(v) = 4*m(v) + n(v). Find the first derivative of i(d) wrt d.\nAnswer: -42*d**2 + 30*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1706, -3496, -5286, -7076, -8866, -10656?\n\"Answer: -1790*y + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1363, -12784, -3 in ascending order.\nAnswer: -12784, -3, 1363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let m = j + -2. Which is the closest to m? (a) -4 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/4 (b) 0.3 (c) 1 (d) 23\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - 3*w + 4*w**3 + 4 + 0*w**3 - 3*w**3 + 2*w**2. Let k be o(2). Suppose k*m = -2*a + 6, 0 = -2*a - m + 6 - 3. Solve 2*y - 7 - 3 = a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042727 - 77.\nAnswer: -76.957273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*f + 60*f - 40 = 0. Put -56, -1, 5, f in ascending order.\nAnswer: -56, f, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 13835.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -240. Let q = -135 + f. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 4*s - 1 + 2*s + 0 as h*s + d + q*s**2 + l*s**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-21)*k*k*k**(6\/7)*k assuming k is positive.\nAnswer: k**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**3 + 5276*z**2 + 162004*z - 167276 = 0.\nAnswer: -31, 1, 1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 - 47*l**2 + 29*l + 190. Give y(-6).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -1291*t**2\/2 + 33*t + 64. Is f(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 6*c**2 + 5*c + 30. Let r be y(-6). Let j = -5 - -1. Let a = -0.2 + 0. Sort a, r, j.\nAnswer: j, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 6*w + 20*w - 2*w**2 - 2 - 9*w to l + z*w**2 + q*w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 14. What is l(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 8*k - 5. Let f(l) = -l**2 + 9*l + 4. Let j(b) = 5*f(b) + 6*p(b). Give j(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013231313 (base 4) in base 11?\nAnswer: 509672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 * -7\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599*b - 24 = 593*b. Solve 4*i = -3*d - 7, 6*i + 3 = -d + b*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.10027346?\nAnswer: -0.39972654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/630)\/((-14)\/63)*(-16)\/28?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7342362 and 738.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442084 is divided by 4727?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -3. What is the derivative of n*g - 2*g + g - 2 - 1 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73896466.5 rounded to the nearest 10000?\nAnswer: 73900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*d - 10 = 0, -2*v + 3*d + 20 = 2*v. Suppose v*n + 8 = 3*n. Let h be n\/6*(24 + -15). Solve -3*l + 0*l - h = -5*p, 4*p - 7 = 5*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*27.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -20*h + 3. Let d(r) = -58*r + 9. Let z(g) = -d(g) + 3*f(g). Let k(o) = -10*o**2 - 46*o. Determine k(z(x)).\nAnswer: -40*x**2 + 92*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*t = -11*t - 1968 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/145562 - -569438549\/727810. Let f = n + -780. Suppose f - 3\/5*u**2 - 9\/5*u = 0. Calculate u.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.185 + 94837111.\nAnswer: 94837112.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-28)\/(-24))*2\/(-12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6 = 0, u - 5*u = -4*a + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -24 + 144. What is the remainder when 131 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + 9 + -14 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 7:28 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1461*m + 2. Let h be l(3). Let b = 3867571\/882 - h. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*y + h**2 + 648*h*y - 4*h + 593*y + 24803 wrt y?\nAnswer: 2*h**2 + 648*h + 593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5343 and 166?\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 42475.44 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 49*v**2 - 17*v + 52. Let u be y(26). Let j = 12 + 107. What is the remainder when j is divided by 2\/(-9) - u\/(-81)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31367004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/117 + 11\/13. Let z be (-603)\/(-45) - ((-2)\/(-5))\/r. What is the nearest to -1 in -1\/9, 1, z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 17*x**2\/2 + 35*x + 18. Does 19 divide m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.208 + -1.208. Which is the nearest to r? (a) -3 (b) -0.3 (c) 3 (d) 0.006\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h - 78*h - 90*h.\nAnswer: -200*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -16*b**2 + b + 2. Let o be x(-4). Let i be -8 - (2084\/4 + -8). Let d = o - i. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**2 + 658. Let j(n) = 518*n**2. Determine j(y(d)).\nAnswer: 2072*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*w = m, -m = -5*w - 14. Solve z = -m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-528)\/(-54) + -10 + (-1)\/36?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98753\/9080 + -1\/1135. Calculate the common denominator of 75\/4 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-66)\/770*7\/(-2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d2da + 4?\nAnswer: -1d2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20069*n - 10738*n - 9338*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q - 70. Suppose 7*k - 8*k + q = 0. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447669172.\nAnswer: 2, 29, 47, 157, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.4 - 13.45. Which is the second biggest value? (a) 0 (b) j (c) -2\/7 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21673 + 6561 + 7205 + 7222)*(-3*i**3 + 3*i**3 + i**3) as z + g*i**2 + n*i**3 + v*i and give n.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 12:51 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 50 = 12*u. What is the lowest common multiple of (-1)\/(3\/(-13)) + 96\/(-288) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5 - 7778*x**4 + 23341*x**3 - 15562*x**2 = 0 for x.\nAnswer: -7781, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2 (c) -5\/4 (d) -1350 (e) 5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 60 (b) -2 (c) 47.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 - -2.5. Let l be -3*3\/(-27) - 1. Suppose -2*p = -2*r + 4 - 0, 0 = -3*p - 3*r - 18. Which is the third biggest value? (a) p (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -0.4, 0.1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/33532 and -103\/52124.\nAnswer: 5264524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/60 + 5*d**4\/3 - 17*d**3\/3 - 3685*d**2. Give l(39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.704609786 to four dps.\nAnswer: 2.7046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1 + 8*g**3 - 4*g + 3*g**3 + 0 + 2*g + 0. Let v be 5\/20 - 14\/(-8). Is i(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tww when three letters picked without replacement from wiitwtowwitw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -514, -3918, -7322, -10726, -14130?\n\"Answer: -3404*y + 2890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/8 of a millisecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 times 4.3477?\nAnswer: 1717.3415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f*x**5 + 6*f*x**2 - 4*f*x + 896500*x**6 - 2*x**2 - 67203*x wrt x.\nAnswer: -720*f*x**2 + 107580000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 + 125. Suppose 2*l - l = -n*i + 178, 0 = l - 3. What is the highest common factor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g + 135. Calculate the remainder when 87 is divided by f(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let r(y) = -y + 21. Let i(o) = -r(o) + 2*s(o). Let m(g) = -g**3 - 51*g**2 + 108*g + 115. Let v be m(-53). Let f(n) = 5. What is v*f(b) + 2*i(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -3\/5*u**5 - 9\/2*u**2 + 9\/4*u**4 + u**3 + 0*u + 32. Find a, given that z(a) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -13974022.378885.\nAnswer: -13974021.978885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31598 or 50675?\nAnswer: 50675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -56*j**2 + 2694*j - 125. What is p(48)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*k = 4930, -24*b + 20*b - 3*k = -19777. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138874*n**2 - 146730 wrt n.\nAnswer: 277748*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50be (base 15) in base 5?\nAnswer: 1021204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 73 + -70 - (-7 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-288)\/720 - (-3233)\/(-5). Does -656 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(81\/189)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/1*((-7)\/(-21))\/((-7)\/(-28))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 7*k**2 - 7*k. Let z be a(6). Let c(w) = -29*w + 4. Let g be c(-7). Is 4\/(-3)*g\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*a + 58*a - 5*a in the form x + i*a and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 4*a + 12. Let k(c) be the first derivative of 6 - 3*c**4 + a*c**4 + 0*c**4 - 6*c + c**4. What is the first derivative of k(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let o(a) be the second derivative of -23*a**4\/24 + 183*a**2\/2 + 28*a - 1. Let t(v) be the first derivative of o(v). What is i(t(c))?\nAnswer: 529*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 3, b: 2, t: 1, s: 2, k: 6}. What is prob of sequence gk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*m + 88*m = 4*i + 165*m + 8, -2*i - 22 = -8*m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x - 33*x = y + 2, -3*y + 10 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -4. Suppose -3*w - 5*x - t = 0, 6 = -5*w + x + 19. Suppose -3*d + w*y + 2*y = -109, 4*y = 2*d - 70. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtjwwotwwwgojtgooj. What is prob of picking 1 j and 1 t?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 2 - 2 + (-5 + 3 + 3)*(-3*z**3 + z**3 + 4*z**3) - z**3 + z**3 - z**3)*(-4*z + 3*z + 0*z).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1098\/305*(-10)\/8*10\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 35031980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -0.8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*x + 43*x = 114*x + 4220 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -540, -480, -378, -234, -48, 180?\n\"Answer: 21*r**2 - 3*r - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 315 = -u - 0*j, -j = 2*u - 652. List the prime factors of 6\/5*u\/10.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 17*c - 22*c. Solve 5*h + 2*f + c*f - 8 = 0, 4*f - 8 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 873 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c**2 - 55145223*c - 13786305 = 0. Calculate c.\nAnswer: -4595435, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 297186991 from 3305.\nAnswer: -297183686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -140 (b) 2 (c) -4 (d) -0.4 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70725, -141423, -212121, -282819?\n\"Answer: -70698*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 103 - 162 = 0. Which is smaller: o or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-16) - 245050\/(-208). What is c rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4024*a. Let x(g) = g. What is j(x(l))?\nAnswer: 4024*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(363) + 3 + sqrt(363)*1*1)*2)**2.\nAnswer: 528*sqrt(3) + 5844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 2*i, -4*n - 3*i - 16 = -5*i. Let x be n\/(-7) + (-37)\/7. Let j(g) = 3 - 2*g**2 - 1 + 0 - 7*g. Calculate j(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + ((-260)\/25)\/4 - -4. Put -1, -4, -3\/23, j in descending order.\nAnswer: j, -3\/23, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 174.1 or 10.75?\nAnswer: 174.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.896 + 2.906. Which is the fourth smallest value? (a) 2 (b) y (c) 1\/2 (d) -5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -24*(-21)\/6 - (1 - 2). Let o = f + -70. Suppose -5*t + 5 + 10 = -5*z, z + 3*t + o = 0. Let u(s) = s**2 + 8*s + 8. Determine u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3523 + 3519. Let l(s) = -8*s - 17. Give l(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p - 4*d + 5, 4*p - 15 = -d. Suppose c + 4 = -3*c + 3*x, 0 = -2*c + 3*x - 2. Sort p, c, -4.\nAnswer: -4, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 33. Let p(r) = 4*r**2 - 6*r + 5. Let c be p(b). Suppose c*f - 287 = -5*h - f, -43 = -h + 4*f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**2 - 4*m + 4. Suppose 54 - 10 = 44*n. What is b(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m - 2*m**3 + (0*m**2 + m**2 + 0*m**2)*(m - 5 + 5) + (-3*m + 6*m + 0*m)*(4*m**2 - 3*m**2 + m**2).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421214201 (base 5) in base 14?\nAnswer: 6c2794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302607 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11))**(1\/16)\/(h**(-1\/16)*h**(-3\/10)\/h) assuming h is positive.\nAnswer: h**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-1))\/((-3)\/(-93)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1364667799, -1364667801, -1364667803, -1364667805, -1364667807?\n\"Answer: -2*c - 1364667797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 18*n + 10. Let v be y(-18). Suppose -v*c = -19*c + 108. Solve 5*k + c = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 23. Let n = o + -3. Solve -s = t - 2*t - 8, -n = 5*t + s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2377, 3908, 6459, 10030, 14621, 20232?\n\"Answer: 510*o**2 + o + 1866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/3, 4, 874, 1 in increasing order.\nAnswer: -3, -1\/3, 1, 4, 874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 45*o**2 - 1. Let g(h) = -4*h**2 - 12*h - 6. Let n(y) = 6*y**2 + 16*y + 8. Let c(w) = -4*g(w) - 3*n(w). Calculate z(c(m)).\nAnswer: 180*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375558709 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 10 + 42. Let y(g) = -4*g**3 + 7*g - 6. Let i(q) = -9*q**3 + 15*q - 13. Calculate x*y(z) - 6*i(z).\nAnswer: 2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -198 and -4.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 223726339 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -29*m**2 - 13*m + 5. Let h(u) = 14*u**2 + 6*u - 3. Let x(i) = -3*c(i) - 5*h(i). Let w(k) = -19*k + 21*k - 2*k**2 + 6*k**2. Give -26*w(f) + 6*x(f).\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5010\/334)\/(6\/(-16))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23824850 = -108*y - 23828630 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/7 or -45917?\nAnswer: -45917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -174, -577, -1242, -2163, -3334, -4749, -6402, -8287?\n\"Answer: i**3 - 137*i**2 + i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 4*g**2 - g + 5. Let v be s(2). Solve -7*t = -v + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 6\/47, -0.4, 20 in descending order.\nAnswer: 20, 6\/47, -0.4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Let t be 1 + (-2)\/c + 3. What is the second derivative of -150*x**2 - 7*x + 150*x**2 - 4*x**t wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6336\/165131?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 263 - 2*f + 333 - 592.\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3412881886 to the power of 1\/2, to the nearest integer?\nAnswer: 58420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -4 (b) 0.4 (c) 25 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -150*p - 48. Let n(q) = q + 4. Determine 3*k(d) + 36*n(d).\nAnswer: -414*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t - 27. Let k be r(16). Let o = k - 70. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 192*y**2 - 1152*y - 109. Give q(8).\nAnswer: 2963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*l - 10*l**3 + 213*l - 104*l.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 8. Let s be q(9). Let m be 11 + (-16)\/6 + -10. Which is the third smallest value? (a) s (b) -0.1 (c) m (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.022 (b) -4 (c) -0.3 (d) -29 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 15421.\nAnswer: 154210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -286089 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(2\/(-4)). Let q be ((-2)\/(-2))\/(v\/7). Suppose 5*m - 2 = 3*m + f, -2*f = -5*m + q. Solve -10 = 2*y - 4*b, m*b - 13 = -3*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - (0 + 4) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8626 + -4*(3 - 95\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c9b8 (base 15) in base 2?\nAnswer: -100011001001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*z - 369*z + 3528 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2. Suppose -11*m + 11 + 11 = 0. Let n(r) be the second derivative of r + 0 + 1\/6*r**3 + 0*r**m. Determine n(p(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/10 - 186*a - 86490 = 0.\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/(12\/(-50)). Let g = -4 - x. What is the closest to -0.1 in g, 1, -3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let r(p) = -6*p - 7. Let x be 2*(-12)\/8 + 3. Let u(l) = -1 + x*l - 2 - 3*l. Let h(c) = -3*r(c) + 7*u(c). Give w(h(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 2\/5 (c) -2\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 413\/93 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26386270 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 31462?\nAnswer: -31447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*g + 58*g, 0 = -5*t - 4*g - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let h(g) = -12*g**2 + 21*g + 14. Let p(b) = 10*b**2 - 18*b - 14. Let i(a) = -6*h(a) - 7*p(a). Calculate c(i(x)).\nAnswer: -2*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - (-4 - 311528\/(-21)*-3)?\nAnswer: 2, 5, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 6 = 5*z - 3*f, -3*f = -2*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 6*b. Let r = b - -6. What is the highest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*12\/(-112)*4. Factor 3\/7*s**3 + 27\/7 - b*s**2 + 9\/7*s.\nAnswer: 3*(s - 3)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14 + 4*w + w**2 + w**3 - 2*w**3 - 4*w**2. Suppose 0 = 2*y + g + 4, -13*y + 14 = -17*y + g. What is the units digit of u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 7*u + 52154 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 9*f**5\/20 + 7*f**4\/12 + 7*f. Find the third derivative of j(y) wrt y.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 9. Suppose 2*n - s = -2*p + n, 0 = -3*p + 2*n + 8. Calculate the smallest common multiple of 5 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -34*f**3 + 8*f**2 - 59*f - 428. Is z(-8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375098 at most as big as 3375111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -309 times -0.6\nAnswer: 185.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -1\/3*m**3 + 0*m**4 + 2*m**2 + 0*m - 1\/105*m**7 + 0*m**5 + 0 + 0*m**6. Differentiate c(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + w - 6*w + (0 - 1 + 2)*(8*w - 6*w + 3*w))*(-2 + 1 + 3).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 209989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 685677, 685679, 685681, 685683, 685685, 685687?\nAnswer: 685689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 740*(-5 + 310\/50). Which is smaller: 886 or j?\nAnswer: 886","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1*(-3)\/5. Let k = -2201\/10 + 437\/2. What is the fourth biggest value in k, m, 0.2, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/8 + 1533*x**2\/4 + 2350089*x\/8 = 0.\nAnswer: -1533, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 6*t**2 + 7*t + 13. Let y be c(7). Suppose -y = -2*v - h, -4*v + 3 = -h - 26. What is the remainder when v is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:46 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 4*y**3 - 15 + 23.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 22.35. Let t = 0.25 - s. Which is smaller: 1\/10 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1100 = 14*j. Suppose j + 3 = n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b1a + a99?\nAnswer: 58b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -3 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -2\/55 (c) -95982 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeenneee. Give prob of sequence eene.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o + 3*o + o)*(0 + 0 + o) + 6*o**2 + o**2 - 6*o**2 + (o**2 - 3*o + 3*o)*(4 - 1 - 1))*(-363*o - 56*o - 162*o)*(0*o + 0*o + o**2).\nAnswer: -2324*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 912900.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 23 - 33 = 0. Suppose -j - 3*d + 153 = 0, -2*j - f*d = j - 431. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -54) + (-1 - (-2 + 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 338 + 59*z - 338 in the form u + l*z and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 48*l - 2. Let m be w(4). Let d = -278 + m. Let i be -2 + (d - -3) + -1. Round i to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 7 = 5*y + 28, -2 = 2*u - 4*y. Is (-1 - -467)\/((-10)\/u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6706811 divided by -6706811?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -201, -203, -205, -207?\n\"Answer: -2*t - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*d + 6880 = -374*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ata when three letters picked without replacement from awwtwtwaw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954*c + 936*c - 162 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, 1\/2, -3 in increasing order.\nAnswer: -3, -0.37, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24298 and -5.\nAnswer: -121490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 + -16 - -33) + 22\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10795112.7341277 and -3.\nAnswer: 10795109.7341277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -18985391 and -18985392 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6537 + -0.1137. What is the biggest value in 1\/4, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -26. Let n(f) = -9*f. Let u(h) = -h. Let l(v) = b*u(v) - n(v). Let y(z) = 3*z. Calculate l(y(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -4, -3 in ascending order.\nAnswer: -4, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-68))\/((-225)\/3825).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.2 (b) -2\/3 (c) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxx when three letters picked without replacement from xxxxxxddxx?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + 10*s + 84. What are the prime factors of b(-13)?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + v**2 + 2)*(4 - 3 - 3)*(-2 + 13 + 15).\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 79.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10900\/17440)\/((-4)\/(-24)*21)?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r**2 - 109286*r. Let b(k) = -3*k. Calculate y(b(i)).\nAnswer: 72*i**2 + 327858*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20135030 (base 7) to base 15.\nAnswer: 2309c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*z = -116 - 241 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -750cd5 - -4?\nAnswer: -750cd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 22*j + 5. Let h be r(-13). Let q = -108 - h. Solve q*b = 4*m - b, -b = -3*m - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - -637. Is i 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 5:01 PM and 12:04 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.126 - 0.0974. Round s to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/1*2. What is the biggest value in 2\/5, -0.1, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20425 + 4?\nAnswer: -20421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106.50714139 - -173.507141. Let r = 67 - x. What is r rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3820 and 20\/32*(-494)\/(-520).\nAnswer: 30560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2172 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 9*p = 0. What is the common denominator of 338\/120 - 2\/(-6) and (1 - p) + 150\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149251916 to the power of 1\/2, to the nearest integer?\nAnswer: 12217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 387 + -365. Let f be -6 + z\/3 + (-1)\/(-6). Factor f*c + 1 + 1\/2*c**2.\nAnswer: (c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.19, 0, 1.1, 77.6?\nAnswer: -4.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from plpqqllppqlppppp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xggx when four letters picked without replacement from {g: 3, x: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(51)\/sqrt(3)*2.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3 + 7. Let a = -106757 + 106759. Solve 5*d - v - 11 = k*v, 0 = v + a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 12*b + 7. Let m(f) = 11*f + 8. Let i(w) = 2*k(w) - 3*m(w). Is i(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101011 (base 2) to base 12.\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 194, 395, 598, 803?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.5 (c) -0.003 (d) 303 (e) 1 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 364288061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 + 5*h**4 + 0*h**4 - 21*h + h**3 + 2298 - 2301 in the form k*h**2 + r*h + g*h**3 + j*h**4 + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/4 - 14*7\/(-56).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 20220110210?\nAnswer: 20220110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 16*w = 5*b - 217, -73 = w - 5*b. Suppose -3*q - 169 = 149. Let n = w - q. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y**2 + 5*y. Let a(n) = 6*n**2 - 3*n. Let b(p) = -5*a(p) - 3*g(p). Let r(k) be the first derivative of -5 + k + k**2 - k. Calculate r(b(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmy when four letters picked without replacement from {y: 2, m: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94664 by 4.\nAnswer: 23666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 518818066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 2088?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465*f - 20289 = -2*m - 464*f, -f - 10149 = -m. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let c = 809 + -780. Suppose 7*a = -b*n + 4*a + 18, -c = -5*n - 4*a. Solve -n*d + 8 = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 6*k**2 - 98*k + 851. Calculate the remainder when 1379 is divided by x(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*s**5 + 3*s**4 + 6*s**2 - 12134*s?\nAnswer: -3140*s**3 + 36*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w + 41. Give y(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 111113101?\nAnswer: -111113000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 201*k - 199*k. Calculate the smallest common multiple of k and 9.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238840441?\nAnswer: 7, 23, 631, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 64.4. What is the closest to -1 in 4, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**13)\/(j**(30\/7)\/j))\/((j**(1\/6)*j)\/(j**23*j)))**(1\/41) assuming j is positive.\nAnswer: j**(1409\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**3 + j**2 - 11*j + 15. What is the units digit of q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(36)\/sqrt(3).\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.51 + 0.49. Put 3.2, w, 0.5 in decreasing order.\nAnswer: 3.2, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.344 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 2\/9 (c) 0 (d) -2\/283009\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -181\nAnswer: 16.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2)*-4 - sqrt(832)*1.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 500 by 125.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12463735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011111010110 (base 2) in base 10?\nAnswer: 26582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 n when three letters picked without replacement from ccnccycynccycclc.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725902811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(17) + 1 - sqrt(17))*-2*1)**2 + (sqrt(153)\/(sqrt(45)\/sqrt(5)))**2 + ((2*sqrt(204))\/sqrt(12))**2.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 1202?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 547351 and 10399669.\nAnswer: 10399669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.02648 months to centuries.\nAnswer: 0.2308554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1728)\/sqrt(6) + (sqrt(14)\/(sqrt(7) - sqrt(1008)*1))**2.\nAnswer: -119\/121 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30498473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 2*h**3\/3 - 65*h**2\/2 - 36*h. What is the lowest common multiple of 21 and l(17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/9)*l*l**18*l*(l**(-5))**(-3\/10) assuming l is positive.\nAnswer: l**(377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 68 - 69 + 32*u**2 - 74.\nAnswer: 32*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 13*x**2 - 28*x + 10. Let o be z(-10). Are o and -79\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 + (-7 - (12 + -13 + -4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12090613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.887 less than 1?\nAnswer: 8.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(-14)*p*p)**(-6\/11)*(p*(p\/((p\/p**6)\/p)*p)\/p*p)\/(p\/(p**(-2\/39)\/p)) assuming p is positive.\nAnswer: p**(-1465\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d + 0*d - 2*d as n + q*d and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-20))\/(k*k**(1\/11))*((k**(8\/3)*k)\/k)**(-5))**21 assuming k is positive.\nAnswer: k**(-7721\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/8 - 1\/(-4). Let x(h) = -6*h + 0*h**2 - h**2 - h + 2 + 3. Give x(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 1463072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 2 s when four letters picked without replacement from {a: 2, m: 3, s: 3, t: 1, r: 1, y: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -77 in 1\/6, -2, -6\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*h + 238 = -5*c, 0 = h - 4. Let l = -71 - c. Let w = l + 31. What is the greatest common divisor of 70 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*i - 171 = -191*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(1872)*2 - (sqrt(325) - sqrt(325)*1 - sqrt(325))*6))**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/1173, 20, -5?\nAnswer: -5\/1173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/(-234)*(-612)\/(-119)?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 4 + 2*n + 8 + 2*n**2 + 14. Is 39 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3 + (100 - 254)\/462\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 51 = -75 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67411 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -19\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0527 or 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-97)\/(-21) + (6 - 3)\/(714\/(-68)). Which is the closest to 2\/7? (a) 3 (b) 2 (c) 0.1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130545*t**2 - 202850*t**2 - 295416*t**2.\nAnswer: -367721*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/195 and 85\/24?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:37 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 11:22 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -36*c - 2. Let r be q(-1). Calculate the highest common divisor of r and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 - (-3 + 0). Suppose -l*f + 13 = -2. Suppose -p + f*p**3 + p**4 - p**3 + 2 + p**2 - p**5 - 1 - 3*p**2 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1676 and 61\/7448.\nAnswer: 3120712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (((sqrt(153) - (sqrt(153) + -1*sqrt(153))*4) + sqrt(153) - sqrt(153))*-4)\/(sqrt(567)\/sqrt(7) + sqrt(144)\/sqrt(4)))**2.\nAnswer: -297\/25 - 8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -88 + 43 + 48 - v. Calculate g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1113994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p - 50. What is b(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 313280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22912 and 1488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9263160, 9263168, 9263176, 9263184?\n\"Answer: 8*p + 9263152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 11*i - 32. Determine c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 101*h**5\/30 - h**2. Let q(i) be the first derivative of -i**2 - 25335. Calculate l(q(g)).\nAnswer: 808*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -334 + 373 - (56 + -5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -252193375 and 0.3.\nAnswer: -252193374.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = -3*i - 5*f, -2*i = 3*f - 21. Let h be (2 - 4)\/(-1 + i). Let m = 8\/5 + -126\/85. Which is the closest to -0.1? (a) 0.4 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/11810654 and 3\/163?\nAnswer: 11810654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.90089643 rounded to three dps?\nAnswer: 56.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -9\/454184?\nAnswer: -9\/454184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -49. Suppose 3*a - 2*a + n = 81, -g*n = 2*a - 163. What is the units digit of (-2194)\/(-8) + (-20)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/1819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5775\/(-150))\/77)\/50.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 512933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - y**2 - 2 + 2 - 3 - 2*y**3 to the form f + n*y**3 + w*y**2 + q*y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251818193 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: Are -69958 and -1189291\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2272534184 - -2311329650.81. Let d = -38795547.81000078 + t. Let g = d - -81. Round g to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t. Let o(p) = 4*p - 2. Let q(b) = -9*b + 5. Let z(r) = -7*o(r) - 3*q(r). Let f(j) = -j**2 - 2*j - 2. Let w(m) = -f(m) + 2*z(m). What is w(x(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 140. Let v = l - -170. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:00 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24692761 = -13*z - 66424239. Round z to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -28. Sort q, -5, 2 in increasing order.\nAnswer: -5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -25*x. Let o(c) = c**2 + 21. Give a(o(y)).\nAnswer: -25*y**2 - 525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36620.03 rounded to the nearest ten?\nAnswer: 36620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88516*x = -40*j + 88513*x - 87, 5*j = -x - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/522 and -83\/2610.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(17\/(68\/(-28))). What is the nearest to -0.1 in -0.2, y, 1.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5.1, -0.1, 19, -1, -60?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16233 is divided by 55?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -439, -521, -603, -685, -767?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z + 6. Let t(l) = l**3 + 6*l**2 - l - 2. Let f be t(z). Suppose 2*n = 3*h + 11 + 14, h = -f*n + 43. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910644948?\nAnswer: 2, 31, 1231, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17676 (base 12) to base 7.\nAnswer: -200334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34d (base 16) in base 6?\nAnswer: -3525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-4))\/((13 - (-905)\/(-70))*7). Let t(m) = -8*m - 8. Give t(i).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*f**6 - f**4 - 41*f**3 - f**2 + 124049*f.\nAnswer: 9120*f**3 - 24*f - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-six fifths of a meter?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 65*s + 646. Let t be n(-10). Which is the nearest to 1? (a) t (b) 2\/9 (c) 0.2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(0 - 3\/2). Suppose -2*f + 4*r = -20, 2*f = k*r + 15 + 2. Suppose 5*q + 47 = 4*d, 2*d = 2*q - q + 19. Solve 0 = -2*l + f*l + d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 17 (b) -0.4 (c) -1466.6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = -1. Let u be (0 + -3)*n\/(-3). Suppose 3 = 2*k + 2*y + 13, 5*k + 2*y = -u. Solve 2*p + k*p - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 less than 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2)*(14 + 10*p - 14).\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 808176 and 1077568.\nAnswer: 3232704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let h = 0.1 + y. Which is the closest to h? (a) 1 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2691\/5*w - 2688\/5*w**2 + 0 - 3\/5*w**3.\nAnswer: -3*w*(w - 1)*(w + 897)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28213819273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 - 502010*t**2 - 3513855*t - 3011850 = 0. Calculate t.\nAnswer: -100395, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 1 = 10. Solve -3*l + i = -11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/16)\/((-27)\/25). Let a = z + 37\/24. Is a <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, -0.2, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145138*u - 145208*u + 290399*u.\nAnswer: 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-1)\/(1\/2). Solve -j = -2*k - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 26 = 5*h, 2*h - 9 = 4*c - 3*c. Suppose -l + 2 = -3*g, -2 = 3*l + 5*g - 8. Sort c, 5, l in increasing order.\nAnswer: c, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 2772 = 5*j. Find the common denominator of (-24)\/j + 2757\/(-504) and 37\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (3 + 50\/(-15))*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -0.6, 0.5, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -2, -10, 1, 27877, 0.34, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -16. Let x(v) be the second derivative of -v**5\/20 - v**4\/2 - v**3\/2 - 2*v**2 + 160157*v. Give x(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/3))\/w)**(3\/14)\/(w**(-12)*w**(-1\/9)*w))**7 assuming w is positive.\nAnswer: w**(1391\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -4*s + 4114. What is the remainder when (2 + -3)\/(s\/218 - 5) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 2497?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 3 (c) 1 (d) 1328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10520424 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 21 - 47 + 19*p.\nAnswer: 19*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2951319 by 119.\nAnswer: -24801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*sqrt(100)\/(sqrt(10)*2))\/(-3*sqrt(72)*-2).\nAnswer: -sqrt(5)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1*3)\/((sqrt(84)*-1)\/sqrt(7)) + 5*(sqrt(190)\/(1*sqrt(10)) + (1*sqrt(19))**2 + 4))*2.\nAnswer: 16*sqrt(19) + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -237.53 to 0 dps.\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/3)\/(-2) + 2. Let r(d) = 3*d + 1. Let s be r(q). Let k(j) be the third derivative of j**5\/30 + j**4\/6 + j**3\/2 - j**2. What is k(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120, -464, -1396, -3210, -6200, -10660?\n\"Answer: -49*m**3 - m - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.019, 0.487, 0.47 in decreasing order.\nAnswer: 0.487, 0.47, -0.019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k + 4*k + d + d - 44, -106 = -9*k - 3*d - 67 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(-51) - 101\/(-285). Let c = t + 374\/285. Sort -4, c, 3 in increasing order.\nAnswer: -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/126 and 125\/6078366.\nAnswer: 6078366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -44504?\nAnswer: 444c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(-1 + sqrt(80))*6 - (((-1 + sqrt(80) - sqrt(80))*5)**2 - (sqrt(80)*1 + 2 + sqrt(80))**2)) + -3.\nAnswer: 312*sqrt(5) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -674 - -674. Suppose u = 46*m - 21*m - 28875. What are the prime factors of m?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.4 (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -17. Let q(l) be the third derivative of -1\/30*l**5 + 0 + 0*l**4 - 2*l**2 - 1\/105*l**t - 1\/30*l**6 + 0*l**3 + 0*l. Factor q(w).\nAnswer: -2*w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhmmmmmcmmcmmhmmcchh. What is prob of picking 2 h and 1 c?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -25, -32, -41?\n\"Answer: -k**2 - 2*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2316 - -6947\/3. Put l, -1\/4, -0.5 in descending order.\nAnswer: -1\/4, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from nlhnathalddndththlda?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 5*d**2 - 5*d + 5. Let s = -124 + 119. Let a(p) = 4*p**2 - 4*p + 4. What is s*a(f) + 4*h(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.1924*-3.\nAnswer: -171.5772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -c + 10 + 4, 4*f + 8 = 4*c. Let h be 100\/16 + 15\/(-12). Suppose -3*y = 5*i - 6*y - 35, 0 = -5*i + 2*y + 35. Put f, h, i in decreasing order.\nAnswer: i, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3191116 is divided by 5541?\nAnswer: 5041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, 0.035 in ascending order.\nAnswer: -0.1, 0.035, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101110?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 101177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) 3\/7 (d) 5\/3 (e) -26.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y**2 - 58*y**2 + 28*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3780533*t**3 + 5*t**2 + 3600993?\nAnswer: -22683198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -26, -3, 2, -2 in decreasing order.\nAnswer: 8, 2, -2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 20222402?\nAnswer: 20222410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -35. Solve -2*w = -3*x - 25, -2*w + n*x - 10 = -6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.148 in 2, -745, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**2 - 737*u + 3018.\nAnswer: -2*u - 737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 32 = 4. Suppose 3*h - x*g = -3*g, g = -h. Which is the third smallest value? (a) 10\/7 (b) 3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 21*d**2 + 20*d - 42. List the prime factors of m(-12).\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d - 2*d - 7 - 5. Let a be y(8). Suppose z + 2*z - 174 = -3*f, -a*f + 5*z = -241. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63*-13493\nAnswer: -850059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10*u = -36. Let r(y) = -u*y**2 + 0*y**2 - 3*y**3 - 6*y - 2 - y + 5*y. Let t(l) = -12*l**3 - 13*l**2 - 8*l - 9. Determine 9*r(p) - 2*t(p).\nAnswer: -3*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, s: 4, u: 3, q: 4}. What is prob of picking 1 b and 3 s?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003545 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64074 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: What is -18362839 times -5?\nAnswer: 91814195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708 = -21*o - 729 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5889 and 0.2?\nAnswer: -0.11778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -3*n. What is the second derivative of -13*c**2 - 3*c**3 + 13*c**2 + n*c - 5*c**3 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/745 and 37\/150?\nAnswer: 22350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*u - 261*u - 344*u.\nAnswer: -494*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 1. Let u be c(3). Let f(b) = 7*b + 9. What is the remainder when f(u) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1216) - (3 + -1 + sqrt(1216))) + 3*(sqrt(1216) + -2)*3 + 4)**2.\nAnswer: -576*sqrt(19) + 98512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 744 = -66*u + 18*u - 51*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-1\/6)\/z*z)*z)\/z*z*z*z\/((z\/z**(-5))\/z)*z)\/(z**(-2\/11)\/z**(-2)))\/((z**(1\/9)*z*z*z**1*z*z)\/(z**(1\/3)*z)**(-43)) assuming z is positive.\nAnswer: z**(-12691\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81650 is divided by 5404?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 364*j - 1095. Let l be x(3). Sort l, 190, -6.\nAnswer: -6, l, 190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - v = -119, 3*v + 0 - 15 = 0. Let p(d) = -40*d**2 - 8 + q*d**2 + 8. Let w(o) = 55*o**2. Determine w(p(u)).\nAnswer: 220*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 226?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 89?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/60 + t**4\/24 - t**3\/3 - 3*t**2. Let l be h(2). Solve l = o + o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 0.11923910995?\nAnswer: 4.11923910995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 351385642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + g - 344. Let y be t(-19). Let o(p) = 32*p**2 + 2*p + 1. Let z(m) = -64*m**2 - 5*m - 1. Let n(r) = 5*o(r) + 2*z(r). Is n(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 3. Let w(h) = -4*h + 8. Let q(n) = 7*k(n) + 3*w(n). Let z(u) = 4*u + 2. Let x(g) = 5*g + 2. Let l(o) = 2*x(o) - 3*z(o). Give -3*l(t) - 2*q(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.67 or -1\/393?\nAnswer: -1\/393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-7\/9))\/(i**(-27)*i))**19 assuming i is positive.\nAnswer: i**(4750\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*h + 188*h - 967*h - 1206*h.\nAnswer: -2324*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9329.1 + -9329. What is the fifth smallest value in -1\/3, t, 2, -3\/10, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1132584\/35 + -168327\/5. Let m = -1296 - y. Let t = 71\/7 - m. Is t < -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = -12. Let q(d) = -1 - 11*d - 10 - 2*d. Let z(x) = 7*x + 6. Let j(f) = r*q(f) - 11*z(f). Let m(n) = -2*n**2. Calculate m(j(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.28 and 10.\nAnswer: 13.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 11046757.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 21*c - 23*c = -112, -5*v + 145 = -5*c. Suppose 3 = 2*l + m, 5 = 2*l + 2*m - 3. Let u = l + 13. Calculate the remainder when v is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 5, 0.4, -0.1 in decreasing order.\nAnswer: 5, 0.4, -0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11567.6 times 0.2\nAnswer: 2313.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -0.6. Let i = 1.504 + g. Round i to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + (sqrt(1216)*1 - sqrt(1216))*5 - (sqrt(1216) + 2*sqrt(1216) + 5 - sqrt(1216)*-2*6))**2 + -5).\nAnswer: -1641864 - 10080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 w, and 1 b when four letters picked without replacement from ubwuwubuww?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/145 and -24\/55?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 - 36*o**2 + 12*o**2 - 14*o**2.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 324*l**2 + 28843*l + 628. Give y(-89).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 178\/4*(71 - 11)\/30. Solve t*i + 45 = 74*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 172098*o - 20. Let t be v(-10). Round t to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -5, 83, 0.2.\nAnswer: -5, -3, -0.5, 0.2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3340086512?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 538533833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 27 = 9*q. Calculate the smallest common multiple of q and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - b = -1464, 0 = 3*g - 3*b + 5*b - 877. Suppose -2*j + 9 + g = 0. Let f = -88 + j. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1772\/(-2272)*(-398)\/25. Let k = 1\/5325 + u. Find the common denominator of k and ((-50)\/14)\/((-6)\/(-7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - d + 12 = -3*d, -4*d = 20. Suppose -2*f - 91 = -4*z + 63, 2*f + 162 = 6*z. Which is bigger: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06142 to four decimal places.\nAnswer: -0.0614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s\/s**(-1\/16)*s**(-1\/13))\/(s**14)**(-31))**(-1\/15) assuming s is positive.\nAnswer: s**(-30367\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/8, 1, 990, 1\/4, -2\/43, 5?\nAnswer: 990","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 108, -8, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = r - 5*o, 9 = 3*r + 4*o. Suppose 3 = n - r. Let w be (-2)\/(-6) + (-2)\/n. Solve v - 4*m = 5, -3*m - 8 = -5*v - w*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 7. Let z(x) = x + 4. Determine 3*a(i) - 5*z(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = z - 2*s, 18*z + 2 = 15*z - 2*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 3)*(1 + l - 1) + l + 0*l - 2*l + (-20 + 51 - 24)*(-3*l + 2*l - 4*l).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2\/5*v**3 + 20*v + 98\/5*v**2 + 0 = 0.\nAnswer: -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-57)*(216\/81)\/2?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 501 - 516. Let c be (9\/a)\/(1\/(-50)). Sort c, 1, 3.\nAnswer: 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 + 4. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 + 3*s**2\/4.\nAnswer: -s**2*(s - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 64?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4*g - 8, 5*j - 2*g - 25 = -3. Suppose 5*p = 3*n + 53, 3*p - 5*n - 35 = -0*n. Calculate the remainder when p is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1458471 to 3 dps.\nAnswer: -1.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 10:38 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -163246 (base 7) to base 3\nAnswer: -1122102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18165 - c?\nAnswer: 18157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/15 + 8014714*t - 120220708\/15 = 0 for t.\nAnswer: 1, 60110354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84890550?\nAnswer: 2, 3, 5, 565937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2304429 divided by 3.\nAnswer: -768143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2 + n. Let l(t) = -4*t**3 - 12*t**3 - 12*t**3 + 21*t - 21*t**2. Let w(o) = -4*l(o) + 84*z(o). Is 16 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10374*b - 228261. Give i(22).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-219834)\/134343*(-572)\/18\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2000 (base 3) to base 16\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1732?\nAnswer: -1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.03 (b) 1\/5 (c) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 4:56 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + s + s)*(1 - 10 - 5)*(-4 + 4 - 2*s) + (1 - 1 - s)*(-2*s - 4 + 4) in the form f + p*s**2 + g*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20038694437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 260*n**2 + 0*n**3 + 259*n**2 + 11. What is i(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17877007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -24.433428899\nAnswer: -24.833428899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + a**2 - a + 2. Let m(r) = -11*r**3 - 4*r**2 + 5*r - 109. Determine 5*h(p) + m(p).\nAnswer: -16*p**3 + p**2 - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + 5\/60. Let r(y) = 2*y**2. Let i be r(-1). Is g not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 630\/189*3\/(-9).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/12 + 3*d**2. Let i(g) = -g**2 + 3*g + 1. Let h(p) = 3*b(p) - 2*i(p). Factor h(q).\nAnswer: 2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 25 + 517*u**2 - 494*u**2 - 1 + 48.\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**4 + 0*a**4 + 4*a**4)*(234 + 254*a - 673 - 257*a).\nAnswer: 3*a**5 + 439*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 267 - 261. Let w(i) = -i**3 + 14*i**2 + 3*i - 2. Does 19 divide w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2778312 and 98630076?\nAnswer: 197260152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 8:33 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 40609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 133*c + 47. What is u(-5)?\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*w + (1 + 5 - 3)*(-2 + 2*w + 2)*(-2 + 0 - 2).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1616\/15 smaller than -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -4*a + 704. Let r be (-1)\/(-493)*4*32\/a. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + (-152)\/16. Let m be ((-14)\/21)\/(1 - (-58)\/(-54)). Let c = m + l. Solve -j - 2*i + 5 = c, j - 2*i = -0*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -1, 4, -2 in decreasing order.\nAnswer: 4, -1, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 7, v: 3}. Give prob of sequence viv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2\/13 (b) -0.3 (c) -3\/233 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 48, -5, 5 in descending order.\nAnswer: 48, 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14594, 58151, 130668, 232145, 362582?\n\"Answer: 14480*a**2 + 117*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 17*j**2. Let c(t) be the third derivative of -t**5\/10 - 25*t**2. Give -11*c(g) - 4*z(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13839\/11 + -1257. Calculate the common denominator of i and 119\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2933898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -480295*v**2. Let q(r) = -14*r. Determine d(q(j)).\nAnswer: -94137820*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4 - 680*w**3 + 4192*w**2 + 371840*w = 0.\nAnswer: -20, 0, 28, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 + 3 = o, 2*o + 4 = 4*d. Suppose 0 = o*g + g + g. Solve 0 = 5*y - 4*u - 5, -2*y + 2*u + 3*u - 15 = g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*n**2 + n**2 + 3)*(28 - 40 - 13).\nAnswer: -25*n**2 - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 0.3, 0.5.\nAnswer: -2\/27, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2265983 is divided by 846?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2569*q**2 + 2557*q**2 - 7694*q**2 + 2566*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t + 50. Let p be l(-12). Suppose 4*k = -2*v + 4, -4*v - p = -2*k - 10. Solve 3*g = v*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 46*p + 61. Let y = -5 + 53. What is the remainder when y is divided by v(-22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 294.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51892 + -1.\nAnswer: -1.51892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -16. Solve 3 + v = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**4 + 11740*a**3 - 6174*a?\nAnswer: 12*a**2 + 70440*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from bjmszzmrj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583850257?\nAnswer: 583850257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 5*t + 24*t**2 - 64*t**2 - 1112519 + 30*t**2 + 1112516.\nAnswer: -10*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -165\/4. Suppose 4*i = -12, -4*h + 5*i + 43 = -0*i. Suppose -3*s = 2 + h. What is the closest to m in s, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400455244 (base 6) to base 3.\nAnswer: -110201022011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401158560 a multiple of 7520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnlj when four letters picked without replacement from lvvvnvjvkvvvvvkvv?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -9 (b) 0.1 (c) -5 (d) -152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5521 + 224?\nAnswer: -5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.3, -5, 3, 9, 1.023 in increasing order.\nAnswer: -10, -5, -0.3, 1.023, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 15, c: 3}. What is prob of sequence cmc?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -95.8. Let g = l + 8. What is the nearest to g in -3\/4, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 36 = -2*g, -4*g + 21 = -3*m - 36. What is the smallest common multiple of 14 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2138?\nAnswer: -2\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -50135 (base 7) to base 3\nAnswer: -121120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/3 + -5. Put -2\/17, -2, 3, r in descending order.\nAnswer: 3, r, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 46*u**2 - 166*u - 80. What is c(-49)?\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1, -1, 758, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*1\/3*-15. Suppose -5*m + 0*m + 25 = z, -2*z = -4*m + q. Suppose m*r - 4*k = 112, -k + 28 = 2*r + 3*k. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 equal to -232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**4\/28 - 5*r**3\/7 - r**2 - 827. Factor s(d).\nAnswer: -d*(d + 1)*(d + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -852.92 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 22428*k - 224373. Determine h(10).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 2. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2124*v. Let p(y) = -14*y**2 + 73*y + 61. Give j(p(w)).\nAnswer: 29736*w**2 - 155052*w - 129564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4 + 29 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76*r**2 + r + 168*r**2 - 92*r**2 + 41*r**4 + 529 wrt r?\nAnswer: 164*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crpcppppppprpcppp. Give prob of picking 1 c and 1 p.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -174134\/741 at least as big as -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/31)*m*m**(-10))**(-14) assuming m is positive.\nAnswer: m**(3920\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -935877 from -285.91.\nAnswer: 935591.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 155129, 310265, 465399, 620531?\n\"Answer: -m**2 + 155139*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(3)*3 + sqrt(60))\/sqrt(12)*6.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -43, -94, -165, -256, -367?\n\"Answer: -10*g**2 - g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 14.15. Let i = -0.15 + b. Let g = 0.9 - 1. What is the second biggest value in g, 1\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 10. Let d(w) = -3*w - 11. Let y(u) = -6*d(u) - 7*t(u). Let v be y(-3). Let o be 5\/10 - 4\/8. Solve o = 5*p - v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 88\/286*2\/(-4). Let n be (-1 - 1*4) + 1. Let p = 0.2 - 0.1. Which is the closest to 0.1? (a) n (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 + 3*r + 7 + r**2 - 2*r - 5*r**3. Let n be u(0). Let f(p) = -4*p**3 + 3*p**3 - 7*p + 2 - 4 + p + 8*p**2. Determine f(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 64523125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*f = 0, -2*f = t - 7*f + 3. Let l be ((-89098)\/12730)\/(t\/10). Let j = -1\/1273 + l. Calculate the common denominator of j and 51\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1377.91 + 1378. Suppose -5*h = h - 6. Which is the closest to h? (a) 3 (b) -5\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 27. Calculate the common denominator of -41\/3 and w\/(-14) + -10*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 20 + 19 + 11*k**2 + 12*k**2 as z + b*k + r*k**2 and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + -1 + (sqrt(5) + -2)*-3*4)**2.\nAnswer: -384*sqrt(5) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 + -1.6?\nAnswer: -223.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26033 (b) -5 (c) -2\/7 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 205417694395405 plus 0.1?\nAnswer: 205417694395405.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -29. Suppose -243 = 24*u - 171. Let s be (-3 + x)\/(-2) + u. Let t(f) = 1. Let z(i) = 2*i - 6. Give s*t(r) + z(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 711 and 41317.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -18. Let x(o) = -3*o**d + 0*o**2 + 5 + 4*o**2 - 1. What is the remainder when x(4) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 310, -5, 3, 20, -4 in decreasing order.\nAnswer: 310, 20, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3019 and 0.4.\nAnswer: 1207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23065 - 21675.7. Round n to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22070 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7311 and 291?\nAnswer: 709167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.922031g in milligrams?\nAnswer: 7922.031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**2 + 2*v + 2. Let i(s) be the second derivative of 5*s**4\/3 - 5*s**3\/6 - 3*s**2 - 40*s. Give -6*i(q) - 17*l(q).\nAnswer: -q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*k*w**4 - k + 3*w**4 - 287*w wrt w?\nAnswer: 1188*k*w**2 + 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/4 + (-20)\/80. Let q(w) be the first derivative of 0*w**j + 1\/3*w**3 + 4 + 2*w. What is the derivative of q(d) wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 5, k: 3, o: 1, q: 1}. Give prob of picking 1 y and 1 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 - -0.1702414687?\nAnswer: 0.4302414687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(6\/17)))**(-1\/75)*g**(14\/5)*g*(g\/g**(2\/25)*g)\/g*g assuming g is positive.\nAnswer: g**(2429\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 16) in base 2?\nAnswer: -1000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 3:41 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-128)\/(-896) - (-5542)\/14 is divided by 82?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2cc5 + 2?\nAnswer: 2cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/42 - (-472)\/708. Suppose -2*k + 26 = -0*k. Which is the second smallest value? (a) w (b) -2\/3 (c) k (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.97 - 6. Let c = 0.08 - o. Let n = c - 0.01. What is the smallest value in -4, n, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35589 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 22, 35, 50, 67, 86, 107?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1734 * 0.4.\nAnswer: 693.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -22121?\nAnswer: 22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -33*t + 1350. Calculate the remainder when t is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r + 12. Let k = -278 + 278. Give w(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 - t**2. Let v = 11 + -10. What is the least common multiple of 8 and x(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*h - 25821 = -61*h. What is the remainder when h is divided by 90?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let n(w) = 5*w + 2. Let b be (0\/(-2))\/(5 + -3). Let t be n(b). Calculate the greatest common divisor of t and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6785732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3650 (base 15) in base 7?\nAnswer: -45450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 68*d - 100. Calculate j(-65).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1065*j + 21. Let u(k) = -12778*k - 262. Determine 25*f(n) + 2*u(n).\nAnswer: 1069*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401423206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 4282877?\nAnswer: 428287.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -17*y - 20. Let t be g(-3). Suppose -t*n - 43351 = -42*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 1. Let r(j) = -j + 11. Let w be r(6). Let q(g) = -3*g - 4. What is w*m(u) + q(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by -4?\nAnswer: -135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36250 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3637755, -7275520, -10913285, -14551050, -18188815, -21826580?\n\"Answer: -3637765*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 541*h - 540*h - 6, 36 = -4*h + 3*m for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -4*s**3\/3 + 2*s**2 + 3. Determine c, given that k(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10453 (base 10) to base 15\nAnswer: 316d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-42) + 1)\/((5340\/9968)\/(5\/4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-19)\/(1672\/(-16)). Suppose 4*x + 11 = 31. Suppose -2*h - 3*p - 54 = 0, p = x*p + 8. Put h, -5, r in decreasing order.\nAnswer: r, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 + 33*v**2 - 43*v + 133. Is y(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24639, -24641, -24643?\n\"Answer: -2*p - 24637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 3\/5 (c) 4\/5 (d) 5.9 (e) -2\/3 (f) 16 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501362747?\nAnswer: 19, 26387513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41896 + 41891. Which is the nearest to -5\/47? (a) -0.3 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(5*q + 5 - 25 + 14 + q**2).\nAnswer: 2*q**2 + 10*q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-24)*2\/(-5). Let i be 92\/28 - 2\/7. Suppose -5*u - i*w = 2*w, -3*u = -5*w. What is the smallest value in u, -1\/10, s?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 2*c**2 - 1. Give n(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26578619*r**4 + 4171*r**2 - 2125?\nAnswer: 637886856*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -130\/147 in 4, 5, 9, 0.5, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 0*v**2 + 69*v + 6 + 269*v.\nAnswer: -2*v**2 + 338*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -141*n**2 + 219*n - 110. What is the first derivative of f(l) wrt l?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - -1. Let m = 3.2 - 3. Let v = 995 - 991. Which is the nearest to m? (a) -0.5 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 + 152)*-110)\/((-13777)\/(-920) - 15). What is m rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7319010 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433968, -434060, -434152?\nAnswer: -434244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 5 + -4 + -17 + 38 + 6\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a**2 + 5*a. Let q(l) = 7*l**2 + 2*l. Let d(v) = -2*n(v) + 5*q(v). Let m(t) = -4*t. Give m(d(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1854 - 1860 - 8*u - 40*u. Let c(y) = -2*y**2. Determine n(c(h)).\nAnswer: 96*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -t - 2*t - 13, -i - 5*t = 0. Suppose k - 4*k - i*n - 10 = 0, -5*k = 5*n. Let z(l) = l**2 - 11*l + 34. Let y be z(8). Solve -x - y + k = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 7*a - 5. What is u(-7)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144 + 43?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156 + 175.6. Let d = r + -20. Which is the closest to -0.1? (a) -0.3 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 - -99.0043. What is w rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 0.06043318756?\nAnswer: 0.13956681244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2702, 3, 1 in increasing order.\nAnswer: -2702, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*b - 3*b + 128040. List the prime factors of b.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.14 and -13552.\nAnswer: -13552.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g - 5. Let c be z(0). What is the smallest common multiple of 2 + c - 1*-15 and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*n + 40, 5*c = 3*c + 5*n - 16. Let b = 33 + c. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 4256 = 87*s. What is the remainder when 36 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529508?\nAnswer: 2, 7, 18911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-6 + 0 + 35)) + -14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2857*v + 539*v + 541*v + 545*v + 543*v + 686*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let t(b) = 5*b. Determine c(t(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*y + 2. Calculate the greatest common divisor of 340 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 768640 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.16716 centuries to months.\nAnswer: 108200.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/104?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1. Let t(s) be the third derivative of -s**6\/24 + 5*s**3\/3 - 3*s**2. Let m(l) = 4*r(l) + t(l). What is the first derivative of m(q) wrt q?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*b + 181*b - 47*b**2 to the form d*b**2 + v*b + q and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4673 = m - 5*q, -3*m + 83*q - 87*q + 13962 = 0. Calculate the smallest common multiple of 2 and m.\nAnswer: 4658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19819 - 1.19819. Which is smaller: i or -13649?\nAnswer: -13649","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 + 3*f**2 + 2*f. Let w be 89\/5 + (-2)\/(-10). Suppose -w = 21*l - 12*l. Let n be d(l). Calculate the highest common factor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 21*a - 21. Suppose 2*q + 4*q - a*q = 0. Solve q = -4*n - 0*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99635 or -99633?\nAnswer: -99633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10345 - 36.\nAnswer: -10381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11010101010 (base 2) to base 15\nAnswer: 78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 26*m**2 + 3*m - 3. Let x(h) = -27*h**2 - 2*h + 2. Calculate 2*p(n) + 3*x(n).\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2062 + -0.1062. What is the second smallest value in -1\/26, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -11. Let m = -63.99962 + h. What is m rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3444 divided by -12074\nAnswer: 1722\/6037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-2))\/(((-551397)\/484)\/(-217)))\/((-2)\/49).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 31*z - 43. Calculate the remainder when c(8) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - 0)*(-16)\/32)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + i - 6*i = 3301 - 3308, 12*i = 5*m + 29 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1402628520 rounded to the nearest one million?\nAnswer: -1403000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -237*h - 206. What is the hundreds digit of p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 0.56084662629?\nAnswer: 0.76084662629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b + 39. Let t be d(-8). Let w(q) = q**2 + 9*q + 1. Calculate w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 - 260*k**2 - 37255*k - 310590 = 0. What is k?\nAnswer: -58, -9, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*-27*1\/2. Let u(j) = -j**3 - 28*j**2 - 27*j + 32. Let r be u(-27). Let o = y - r. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 - 211.59. Let f = g - 4.41. Let d = 0.9 - -0.1. What is the nearest to 2\/9 in d, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 - 6*n**2 - 3. Let t(p) = -20*p + 1 + p**2 - 36*p - p**3 + 56*p. Calculate -6*t(d) - w(d).\nAnswer: d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 3*a**2 - 2*a**2)*(0*a**2 - 61 + 54 - 2*a**2).\nAnswer: 4*a**4 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -5*g**4\/12 + 15*g**2. List the prime factors of s(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1335069 and 502.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/((243\/45)\/27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000121100 (base 3) to base 16.\nAnswer: 13545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -10\/9 (b) 2 (c) 2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 - 1 = 3*q, -5*q - 5*r - 10 = 0. Let a be (q\/(-3))\/(2\/6). Solve -2*v - a*v - 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2021 and 46300687?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -31*u**2 + 289\/33*u**3 + 1\/330*u**5 + 0*u - 17\/66*u**4 + 0. Determine z, given that m(z) = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.25 + 5.25. Let b = -186 + 186.5. What is the nearest to v in -1, b, 0.055?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p + 20. Let k(l) = -l + 22. Let d(x) = 2*k(x) - 3*n(x). Give d(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.4. Let t = 102 + -103. Which is the nearest to t? (a) p (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 282 + -144. List the prime factors of c.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + 0 + 143 + -143.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose t + 19 = 2*v + 6*t, -t + 5 = 0. Let m be -2 - -2 - (0 + -1). Sort v, a, m.\nAnswer: v, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/3 + 611792*p\/3 - 3262720 = 0. What is p?\nAnswer: 16, 305880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1586501 is divided by 1663?\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -921 + 1425. Is 42 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1565.2761477 - -29.3980777. Let b = m - -1549.878. Let v = -14 + b. What is v rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4770376*s**3 + 10412845*s.\nAnswer: -28622256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525025794 + 19?\nAnswer: 525025813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*r = 12, -3*q - 5*r = -4*q - 8. Suppose 2*f = 3*k + 4*f + 2, 0 = -4*k - 3*f - 3. Solve -q = -k*u - 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -0.7. Let j = d - 0.3. Let a = 83 + -80. Is j greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 335628 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.4 - -7.205. What is j rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, u: 4, w: 2, n: 1}. Give prob of picking 1 z, 1 w, and 2 u.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 504492561*r**2 - 3113*r - 3212.\nAnswer: 1008985122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 1355*y**9\/504 - 3101*y**5\/60 - 1559*y**2 - 3. What is the third derivative of k(m) wrt m?\nAnswer: 162600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881433427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -54, -112, -158, -186, -190?\n\"Answer: l**3 - 65*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 233880*n**2 - 701676*n.\nAnswer: 4*n*(n - 3)*(n + 58473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 + -0.175985261?\nAnswer: -1.475985261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 - 327*y**2\/5.\nAnswer: y**2*(y - 327)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1629768 - 3236268. Round p to the nearest 10000.\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n + 313. Let i be h(-38). What is the greatest common divisor of 984 and i?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (8 - 2412\/(-3))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 5 - 8 - 8.\nAnswer: 3*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 96 = 5*h, 3*f = 3*h - 6*h + 54. Suppose -29*v + 1062 = -h*v. Do 117 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-250)\/40)\/(-1 - (-11)\/12). Let i(u) = -31*u - 39*u + c*u. Let m(v) = -v**2. Give i(m(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.583, -4\/5, 62726?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 964360944 and -200719.\nAnswer: 964160225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i + 73. Determine p(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 k when four letters picked without replacement from {t: 6, k: 4}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, d: 3, u: 2, h: 1}. Give prob of sequence www.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2.3, 3\/430, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 39 = 15. What is the greatest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 6, 3, -89, 666 in ascending order.\nAnswer: -89, -2, -1, 3, 6, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 823725\/14644 - (-63)\/(-1)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1136)\/74976)\/(-2*(-5)\/420)?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 1.1 (c) 1.03 (d) 75784\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24374*d - 12161*d - 155*d**2 - 12213*d.\nAnswer: -155*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6653474077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*f = -8, -2*x + 4*x - f - 5 = 0. Let o be 4\/(2 - (x + -5) - 1). Let r(w) be the second derivative of -w**4\/4 + w**2\/2 + 2*w. Give r(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.601 or 559?\nAnswer: 5.601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 13) in base 11?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -1) - (-7 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 27*y + 71 = -6*i, -3*y + 66 = -i. Solve -39 - 61 = y*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/16 + (-3916)\/352)*(-2)\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -318313\/7 + 45629. Let n = v - 156. Let r = 46\/9 - 340\/63. Which is the closest to n? (a) -3 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*a - 26*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1923 = -5*p - 4*c - 546, 0 = -4*p + 2*c + 1112. Suppose -p*n + 280*n - 294 = 0. Calculate the greatest common divisor of n and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/495 - -1*2\/18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from uzlzu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 3:28 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0\/(4 - (2 - -1)) - (-14628)\/(-3864)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {n: 7, s: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*i - 16 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -49, -432, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, q: 3}. What is prob of sequence lll?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.0097615 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from xzxfxzzzxzjzxzzrz?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8185 + 32739\/4. Put j, 0.1, 53, 2\/5 in descending order.\nAnswer: 53, 2\/5, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 99 = -x, -399 = -431*x + 427*x - 5*v. What is the greatest common factor of 2916 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (10 + -43 - -26).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 71 + (-4104)\/54 + 4\/((-12)\/(-111)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 3 + 2 + (-3 + 0 + 2)*(2 + 4 - 4) - 1 - 4 + 2)*(0*t + 10*t + 21*t) to the form i*t + v and give i.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(3 - 3*u - 3) - u**2 - u**2 + 4*u**2 + (-3 - 1 + 3)*(6 - 6 + 5*u**2).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 13*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28, 113, 254, 451, 704, 1013?\n\"Answer: 28*o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34444, 68935, 103466, 138037?\n\"Answer: 20*q**2 + 34431*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h**2 + 42*h - 102. Let m(d) = -4*d**2 - 14*d + 35. Let a(g) = -8*m(g) - 3*q(g). Give a(-18).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p**2. Let j(g) = 1. Let y(u) = -3*u - 4. Let c(f) = 4*j(f) + y(f). Calculate l(c(t)).\nAnswer: 126*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43309 (base 10) in base 12?\nAnswer: -21091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19507482 + 19507490 - 17*g**2 - 39014972.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:40 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/70*(-9716)\/33312?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 + 100. Let m be y + 0\/(-7) + 7. What is the closest to m in -1\/2, 5, -6, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3686, 14737, 33126, 58829, 91822, 132081?\n\"Answer: -4*w**3 + 3693*w**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 * -20.\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6\/8519 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 74681+0.6575\nAnswer: 74681.6575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 - 159*m**2 - 321*m\/2.\nAnswer: 3*m*(m - 107)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/144*8 + ((-20)\/(-45))\/2. Suppose -2*p + 0*p - 8 = 0. Suppose -5*b = -2*a - a - 34, -b = -5. Sort p, -2, x, a in ascending order.\nAnswer: p, a, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = -2*w, 5*w - 32 - 6 = -3*d. Solve w + 2 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 20, a + 2*a - 12701 = -4*d. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23730 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1664)\/(-7800))\/(-8)*3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16103*d**3 - 3184*d**2?\nAnswer: -96618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.04, -0.3, -55\/3?\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/20 and -33*((-42)\/(-20) - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + -4 + 1264 + 5. Suppose -a = -7*m + 4*m - 4*n, m - 3*n = 398. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 greater than or equal to 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -202, 8, 1\/3, -1, 0.7.\nAnswer: -202, -19, -1, 1\/3, 0.7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(24\/(-11486)) + 36\/(-108). What is j rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*d**2 + 31*d**2 + 30*d**2)*(3*d + d - 18*d).\nAnswer: -1204*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maq when three letters picked without replacement from {v: 4, r: 1, a: 3, j: 4, m: 2, q: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < 9.94429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5196 rounded to the nearest ten?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 151. Calculate p(85).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 588352 + -886729. Let s = k - 1623. What is s rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2477994731 to the nearest integer?\nAnswer: 49779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4175767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Let x(j) be the third derivative of -4\/15*j**5 - 14*j**2 + 0 + 0*j**4 + 0*j + 0*j**3. Give p(x(i)).\nAnswer: 256*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140003 (base 8) to base 10.\nAnswer: 49155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172141642 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 18587.5945.\nAnswer: -5576.27835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127303 is divided by 127281.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0*d**5 - 1\/12*d**4 + 0*d**2 + 0 + 0*d**6 - 3\/56*d**8 - 2*d + 0*d**3 + 0*d**7. Find the third derivative of j(h) wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -728.6 + 724.6. Which is the closest to 0.2? (a) h (b) -6 (c) -6\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 5, 5176621?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0*p**2 + 22*p - 1 - p**2 - 28*p + 9. What is v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 25781163.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13271940 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 9*c - 5)*(-4*c + 22*c + 17*c)*(2 - 3 + 2).\nAnswer: -315*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*s + 2*m*v - 46*m + 70*s*v**2 + v**3 with respect to v.\nAnswer: 2*m + 140*s*v + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*i = 59*i - 5*k + 20, -3*k - 8 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 363 = -4246. Let g = j - -668. What are the prime factors of g?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a decade in years?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 12*j - 3. Let g be h(-8). Let v be (-224)\/(-8)*2\/4. Suppose 5 = 3*r + v. Sort 5, 1, r, g in increasing order.\nAnswer: g, r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 13\/3740 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:16 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(((-666)\/(-1776))\/((-6)\/(-96)*(-1)\/(-1)))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11178803 to the nearest integer?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3 + 1)*(-1 - 1 + 3) + 18 + 27 - 24)*(2*b - 3 + 3) to u + j*b and give j.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*(-264)\/(-4). Let s be 9 + (3 + -3 - 1). Suppose -s - 3 = -n. Calculate the highest common divisor of n and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.1526 rounded to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 30 = -g - 2*g, 2*r - 24 = -3*g. What is the second derivative of 4*x - r*x + 2*x + 3*x + 2*x**4 wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 3*d**3 - 5*d**3)*(d + 0*d + 0*d) + 40*d - 40*d - 4*d**4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 21*s**2 - 20*s + 185. Is 33 a factor of f(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*s - 15 + 15)*(4 - s**3 + 7 + 0*s**3).\nAnswer: -22*s**4 + 242*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 7 = -2*a, 3*c + 6*a = 5*a + 32 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15917345314 to 6 dps.\nAnswer: 0.159173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -61111809 divided by -6?\nAnswer: 20370603\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - 58 - ((20 + -14 - -2) + -9)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 23. Let y(i) = -4*i + 1. Let l(c) = 2*y(c) - z(c). What is l(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:33 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 5, i: 3}. Give prob of picking 1 k and 3 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 162*f**2 - 803*f + 15. What is t(6)?\nAnswer: 1029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*p - 1\/8*p**2 - 1\/2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*((y\/y**(-12))\/y)\/y*y))\/y*y*y*y**(4\/7)*y)**(-2\/11) assuming y is positive.\nAnswer: y**(118\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let y be 4\/6*72\/(-24). Sort -30, s, y.\nAnswer: -30, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**(-1\/4))\/p)\/p)\/p)\/p**(2\/9))\/((p*p\/((p*p**(-1))\/p))\/p)**(2\/21) assuming p is positive.\nAnswer: p**(-545\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.6 - -1.4. Let n = 19 - p. What is the closest to -2\/7 in -1, n, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5945, -9082, -12211, -15332, -18445, -21550, -24647?\nAnswer: -27736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3025\/181431?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138059653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 137 - 177 + 216*q + 20.\nAnswer: 216*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Suppose 0 = 5*n, -3*n - 8 = -m + 1. What is the remainder when m is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {j: 1, v: 9, l: 5, g: 3}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 1. Let l = 0.2 + -0.2. Let u = -411 + 415. Which is the biggest value? (a) u (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let b(z) be the second derivative of z**4\/12 - 9*z**2\/2 - 6*z. Let q(n) be the first derivative of b(n). Determine u(q(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -4, -38, -122, -274?\n\"Answer: -3*l**3 + 2*l**2 + 13*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 808044 by 134674.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 331 - 637025?\nAnswer: -636474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let h(s) = 2*s**2 + s + 1. Let q be h(o). Solve -5*k - 1 = -2*u + 1, -3*u = 5*k + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q**2 + 6*q + 25. Let k be h(0). Let -2*j - 21*j**3 - k*j + 2*j + 16*j**3 - 30*j**2 = 0. Calculate j.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15463274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3201211121 (base 4) to base 16\nAnswer: -e1959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67976 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 13*h**2 - 4*h - 18. Let n be 14*(-5)\/10*-1. Let g be f(n). Solve g*m = 6*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201220012 - 2?\nAnswer: 201220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 8*q + 1. Let h be p(8). Suppose o = 1 + h. Let b(u) = o + 12*u - 2 - 13*u. Calculate b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 1 f when three letters picked without replacement from {c: 1, f: 1, y: 1, g: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 242*q**6 + 37278*q**4*s**2 + 4360*q**2*s + 460*s**2 wrt q.\nAnswer: 29040*q**3 + 894672*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2784 and 48?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 - 422 = 150*x + 2080 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -113414640?\nAnswer: -113414642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 79 = -203. Let v = o - -122. What is v rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 6) + -11 + 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*y = 132*y - 63217. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 701*y**4\/8 + 2131*y**3\/6 + 2222*y**2. Differentiate f(x) wrt x.\nAnswer: 2103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321392 divided by -5\nAnswer: 321392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/4 - -8*(-5)\/160?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = 0, -2*u - 11*n = -9*n + 6324. Let o = 25217\/8 + u. Find the common denominator of -7\/40 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 3:53 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.284845 and 1.\nAnswer: 2.284845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020745473 to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynhynynntyyyhyyy. What is prob of picking 2 y and 1 n?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 g when three letters picked without replacement from rjjjrgrrjrjjjgjg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -786442.22 rounded to the nearest one hundred?\nAnswer: -786400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20678 and 12238?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*10\/(-8)*(-21)\/(-35). Suppose s*t + 2*u - 9 = 0, 3*t - 3 - 6 = -3*u. Suppose t*c = 122 + 295. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1200 and 1920?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/628 - -28679\/11932. Suppose -3*a + 18 = -4*l, 0*l = -5*a + 3*l + 19. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2. Let j(f) = f**2. What is j(d(w))?\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -35*h**3 - 43*h**2 - 74*h - 154. Determine s(-2).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*r - 5. Suppose -14 - 11 = r*x. Is -6 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3621*d**2 + 6480*d**2 - 3217*d**2.\nAnswer: -358*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**2 + 44*g**2 - 97*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.04 - 25. Let q = t - 0.04. Which is the nearest to -0.1? (a) -4 (b) q (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157 - -788\/5. Which is the nearest to 3? (a) -0.2 (b) m (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/81)\/(126\/32886))\/(-2)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.21 + -0.76. Let a = s + 0.54999954. Round a to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (12 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/19709 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15170 = -7*a + 26693 - 11385. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49289 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(6\/114).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 1291392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 - 2*m**2 + m. Give s(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -364767.8 rounded to the nearest one thousand?\nAnswer: -365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*sqrt(90)\/sqrt(80).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189281 and 382?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -q - 6, 0 = -5*q - 4*g - 19 - 40. Let l be 4\/(q + 7 - (-41)\/10). Solve l = 4*w - 5*r, -5*w + 24 + 17 = -4*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -2, -4, 3 in descending order.\nAnswer: 75, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (4 - (-3 - -4) - -2)) + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.4, 0.329?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23259157 a multiple of 3861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -33*o**3 - 10*o**2 - 25*o - 58. What is j(-3)?\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5077\/7629 - -3\/2543. Let u = 0.09 - 0.03. Put -33, m, u in decreasing order.\nAnswer: m, u, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/19 (b) 0.98 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((0 - 321)\/3)\/(-1) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108640, -108689, -108738, -108787, -108836, -108885?\n\"Answer: -49*g - 108591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12422140 = 511*j - 176*j - 5014945. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 58*z + 37. Let t(w) = 59*w + 37. Suppose 0 - 18 = -6*b. Let m(a) = b*s(a) - 4*t(a). List the prime factors of m(-4).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*c + 25 = -13, -6*w + 16 = -5*c for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 - 6*d**3 + 3*d**2 + 10*d = 0. What is d?\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1239552 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -431*f**3 - 7*f**2 - 14*f - 13. Is n(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36348*b**2 - 36348*b**2 + 2 - 42*b**3 - 3.\nAnswer: -42*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 11*k**6\/60 - k**5\/2 + 4*k**4\/11 - 4*k**3\/33 + k**2 - 42*k - 15. Let z(g) be the second derivative of r(g). Solve z(n) = 0.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((3*sqrt(72))\/sqrt(9)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 1. Let f be s(2). Suppose 0 = 5*v + 20, 7*j + f*v = 2*j + 5. Solve -j*o - z - 3 - 5 = 0, o = 5*z - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 3*g + 6, 2*m = -2*m + 5*g + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -293 - -106. Let q = 183 + l. Is -8 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 51 - 91. Let u be (2 - b)\/(-7) - -16. Solve u = -4*w + 2*a, -3*a - 7 = 5*w + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u - u, -3*w - 4*u - 160 = 0. Let y be (-94)\/w + (2 - 90\/40). What is the fourth smallest value in 0.5, 2, y, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -768*z**3 - 3895*z**2 + 3 - 166*z**3 + 2*z - 452*z**3 + 3895*z**2 as f*z + a + b*z**2 + g*z**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2127 - 1410. Let w(d) = 717 - 4*d**2 - i. Let o(t) = -7*t**2 - 1. What is o(w(n))?\nAnswer: -112*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 16. Let q(m) = 211561*m. What is q(o(j))?\nAnswer: 1269366*j - 3384976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 11:57 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -986*a**3*i**3 + 9350*a**3*i**2 - 89*a*i**2 - 13500*i**3 wrt i?\nAnswer: -5916*a**3 - 81000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**(-4)*x**(-1)*x*x\/(x*(x*x*x**(3\/2)\/x*x)\/x) assuming x is positive.\nAnswer: 1\/sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a + 540 = -5*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -7*a**6\/30 + 4*a**3\/3 + 47*a**2\/2 + 2*a + 3. Differentiate q(x) with respect to x.\nAnswer: -28*x**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 105 = l + 20, 3*l + 4*z - 222 = 0. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23772?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 491*c**2 - 3 + 486*c**2 - 3*c - 2*c**3 + c**4 as o*c**4 + d*c**3 + h*c**2 + w + z*c and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(192)*-1 + sqrt(192)) + 1*(sqrt(192) + -2) - (-3 + 3 + sqrt(192))*4*3)**2.\nAnswer: 352*sqrt(3) + 23236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -19 + 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68689, -137383, -206077, -274771?\n\"Answer: -68694*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/((-4)\/(-123)))\/(27\/72). Differentiate 3*l**4 + 256*l - 8*l**3 - 256*l - z with respect to l.\nAnswer: 12*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9408*a - 64 = -9400*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 119.1 - 111. Let d = o + -8.3. Which is the nearest to 14? (a) 1\/12 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -23. Solve 3*j - t*j - 4 = 4*l, 4*j + 5*l = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2. Let c(y) = -5*y - 27. Let t(m) = 2*c(m) - 14*x(m). What is the tens digit of t(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 4*c**2 + 2*c**2 + c**4 + c + (-309*c**2 - 32*c**2 + 125*c**2)*(0*c**2 - 3*c**2 + 2*c**2) as z*c**4 + j*c + h*c**2 + a*c**3 + v and give z.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 20*r - 1105. What is s(23)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + 2101?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1664658, 1664656, 1664654, 1664652?\nAnswer: 1664650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) 3\/5 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 3*k + 1533. Let i be j(-36). Suppose 2*t - 10 = 162. Calculate the highest common factor of i and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3ab (base 14) to base 15\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 17. Suppose 0*p + p = 4. What is the closest to 0.3 in z, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 277*x**4 - 804*x**2 + 232*x**3 - 88 - 516*x**4 + 640*x + 219*x**4 + 488 = 0. What is x?\nAnswer: -2\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-3 + 1 + 10 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.4 * 15059.\nAnswer: -518029.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c)**(10\/9) assuming c is positive.\nAnswer: c**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35888284 is divided by 1560360.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/32 (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m**2 - m. Let u(g) be the first derivative of -g**6\/360 + 46*g**3 - 58. Let k(b) be the third derivative of u(b). Determine k(r(n)).\nAnswer: -196*n**4 - 28*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.723 - 0.72298754. What is o rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93363 divided by -2?\nAnswer: 93363\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 1, i: 4, j: 1, k: 3, z: 1}. Give prob of sequence jikq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 + 12*h - 4. Let x = -326 - -322. Let n(a) = -48*a**2 + 81*a - 27. Let r(u) = x*n(u) + 27*z(u). Let d(o) = 2*o**2. Calculate r(d(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2) - 9\/1. Let z be (-695)\/(-25) + 1\/5. Let r = d + z. Solve 0 = 3*u - 8*u - r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-3)\/(-4))\/((-105)\/120). Let t = -3375 + 17443\/5. Let o = 114 - t. Which is the smallest value? (a) o (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.44 and -0.1003636?\nAnswer: -0.044159984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or 0.076182685?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 55. Let n be -2 + h - 0\/1. Solve -5*x - 18 = n*b + 6, -3*x - b = 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 12 + 10 + 8 - 7365*n to the form q + c*n and give c.\nAnswer: -7365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1069*r**3 + 558*r**3 + 504*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 - 62*c**2\/5 - 528*c\/5 - 1368\/5.\nAnswer: -2*(c + 6)**2*(c + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = -g - 4, 0 = n + 1. Solve g = 4*b + 8*x - 3*x + 15, -b - 4*x = 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26082787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 85*s**5 + 6*s**2 + 697*s - 6. Let h(p) = -86*p**5 - 5*p**2 - 696*p + 5. Let v(c) = -6*h(c) - 5*m(c). Find the second derivative of v(o) wrt o.\nAnswer: 1820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - d. Let x(h) = -22*h**2 - h + 9. Let r(u) = -5*a(u) - x(u). Let f be r(4). Suppose 0 = i + 3*z - f - 30, 2*i - 636 = -5*z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - 132\/605. Sort k, 2, -1 in decreasing order.\nAnswer: 2, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/154*49*(-20)\/(-560)*-8?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46*1\/2*-1. Let p be 3\/18 + w\/(-6). Suppose 2*t + 10 = p*x, -4*x + 7 = -0*x - 5*t. Solve -3*m = -j - 11, -x*j - 13 = 3*m - 2*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -112?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/4 + 14*u**3\/3 - u**2\/2 - 13*u + 3. Is t(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:07 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336297 = 204*b - 191*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281 + 118. Let p be (0 + -89)*(5 - 15). Let s = p - z. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, -0.3, -21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45110732 divided by -2\nAnswer: -22555366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 25. Let u = m - -12. Solve -a = b - 6, -u*b - 3*a = -2 - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5053, -5055, -5055, -5053, -5049, -5043?\nAnswer: -5035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7621, -7615, -7613, -7621, -7645, -7691?\nAnswer: -7765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302 at least as big as 3302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-810)\/525)*(-21)\/((-1323)\/(-72))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130711 + 3?\nAnswer: 130714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 7:16 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.2 - -143.8. Let p = -156 + w. Let a = 2.3 + -2.4. Sort a, 17, p, -0.2 in decreasing order.\nAnswer: 17, p, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 11. Let t be a(-7). Suppose 5*q + 60 = 5*o, 2*q = -3*o - 14 + t. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 4*p + 1. Suppose -2*c - 9 = -5*c. Suppose 0*u + 4 = -2*h + 4*u, h + u + 5 = 0. Let b(m) = m**2 - 5*m + 2. What is c*b(v) + h*z(v)?\nAnswer: -v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -25*x + 98. Let i(y) = 2 + 8*y**2 - 3*y**2 - 6*y + 3*y. Let k(c) = 10*c**2 - 5*c + 3. Calculate x*k(s) - 5*i(s).\nAnswer: 5*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 4. Let p be o(-5). Let l be p\/(-6)*8\/3. Solve l*g - 24 = 5*g + 5*f, -4*g + 5*f = -29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 1656*a.\nAnswer: 1656*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -5*k. Suppose 5*r - 95 = -3*a, a - 4*r - 20 - 40 = k. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 11 = 2*n, n = 3*n + 3*q - 5. Let j be (5\/n)\/(2\/(-4)). Let a = 67 - 203\/3. What is the second biggest value in 1, a, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 1507, 381, -2 in decreasing order.\nAnswer: 1507, 381, 4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -245*f + 1367 - 142. What is the nearest to -0.23 in -4.5, f, -5?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * -12.28133\nAnswer: 1.5965729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -522700 - 0.05886579?\nAnswer: -522700.05886579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 17. Let y be v(-4). Let f(a) = -3*a - 4. Let n(i) = 1. Calculate y*n(w) + f(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 2*i + i - 1)*(-14*i + 6*i - 16*i)*(9 + 3 - 4) to n*i + f + l*i**2 and give l.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)\/d**(-1\/5))**(-47)\/(d**(-1\/2)\/((d*d\/(d\/d**7))\/d))**37 assuming d is positive.\nAnswer: d**(5971\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 3, j: 1, r: 9}. What is prob of picking 1 q and 1 r?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3158, -25421, -86002, -204113, -398966, -689773, -1095746?\nAnswer: -1636097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -10. Suppose -5*o + i = -2*o, o = -3*h + 14. Let a be ((-5)\/h)\/((-5)\/(-1350)). What is a rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(52\/(-144))*(10\/(-13))\/(136\/(-221))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4162859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 446420 and 60.\nAnswer: 1339260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 1, n: 2, q: 3, i: 9, p: 2}. Give prob of picking 1 q and 2 p.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -93887 and 0.4.\nAnswer: -37554.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3062 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a factor of 2231658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.734027 to one decimal place.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -19. Let q = 27.5 - m. Which is the nearest to 0? (a) q (b) -0.4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 10. Determine f(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 1\/2 (c) -16541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 4 + 0 + -11 - (-120 + 63).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108395*r + 3*o = 108390*r + 27, 5*o = 4*r - 29 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - y = -54*g + 150, 0 = 5*g - 104223*y + 104222*y - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 11*f - 5. Let i be l(-12). Let m(z) = -i*z + z - 2*z. Let k(y) = -6*y**2 - 3*y**2 + 7*y**2. What is m(k(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 195521003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-100.65\nAnswer: 120.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 3. Let k be r(-7). Let c(g) = -3*g**2 - g - 2. Let z be c(-2). Let l = 12 + z. Solve l = k*d - 3*p + 22, 7*p + 12 = -5*d + 3*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -3, -5\/38, 7\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325 + 329. Solve -h*m + 5*r = -40, -5*m + 3*r = 2*r - 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((63\/1098)\/7)\/(7\/8). Is 0 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (9\/(27\/(-120)))\/(-1) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 21 - 112)*(2 - 2 - 2*d)*(3430 - 3430 - 10*d**2) + 4*d**3 + 0*d**3 - 2*d**3.\nAnswer: -1218*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x = 16, -2*m = -x - 12. Suppose 2*r - r - m*h + 12 = 0, -5*r + h = -16. Suppose 0 = -r*o - 5 + 321. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 42 = -240. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99.300952 - 98.20095183. Let p = -0.97 + -0.13. Let j = w + p. Round j to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 2. Let t(y) = 4*y - 8. Suppose -b - 5*l - 30 = 0, 37 - 12 = -5*l. Let x be (2\/b)\/((-1)\/5). Calculate x*t(j) - 9*g(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxkeuxxzxzzzy. Give prob of sequence yk.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 23760?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 43*z**2 + 3. Let a(d) = 87*d**2 + 6. What is 6*a(v) - 13*o(v)?\nAnswer: -37*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1112 + 41?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 - 73*o**2 - 457*o - 4. Determine y(-6).\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) - (sqrt(2)*-2 + -1 - sqrt(2))) + -3)*-6 + -1)**2*4.\nAnswer: -2112*sqrt(2) + 5092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4182863595760\/7 + 201764608933420943\/337652. Let l = 22\/12059 - a. Let s = l - -9325\/6. Find the common denominator of 47\/2 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5141641 centuries in months?\nAnswer: 616.99692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 - (-394)\/(-8). Let c = 108 + m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02667 rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/5 + 3*f**4\/5 + 2*f**3\/5 - 2*f**2\/5 - 3*f\/5 - 1\/5.\nAnswer: (f - 1)*(f + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-190))\/(21\/(-399))*2*(-116)\/(-16)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 7. Let a be i(0). Let l = 161 + a. Let w = l + -77. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/4554420 and -43\/715?\nAnswer: 50098620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8212*h + 16617*h - 8260*h - h**3 in the form n*h**2 + c*h**3 + v*h + g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4))**(-4\/3)*h**(-3\/7)\/(h*h**(-7)\/h*h))\/(h**11*h**(-4))**(-1\/11) assuming h is positive.\nAnswer: h**(1511\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*k = -20, 0 = -5*c - 4*k + 7 - 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (-18 + 10)*-1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5\/6 - s**4\/3 - 5*s**3\/2 + 8*s**2\/3 - 2*s\/3 = 0.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 1. Let y(a) = -5*a**2 + 4*a + 4. Let w(z) = 4*n(z) - y(z). Let g be 0\/(-4) - (9\/(-3))\/1. Determine w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*n + 4*a, -31*a + 33*a = 2*n - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -172?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/175*(-539)\/(-14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 2d6?\nAnswer: -2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)*2*2)\/(3*sqrt(9)\/sqrt(3) - sqrt(3)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 7. What is f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -50. Let x(b) = -b**2 - 24*b + 51. Let s be x(m). Calculate the greatest common divisor of s and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/15)\/((-2)\/3). Let o(u) = -u**2 + 11. Let a be o(0). What is the highest common divisor of a and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 8) in base 4?\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/(-810)*6\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241895 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 79.\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 0. Let i = -0.154 + 0.054. Which is the nearest to i? (a) p (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2751 is divided by 249.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3294*b + 4*v = 3299*b - 4, 0 = b + 3*v - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 + -31. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k*k**(-2\/9)*k)\/k)\/k)*k*k**(3\/4)\/k*k*(k\/(k*k**(1\/5)*k*k))\/k**(-4\/5))**(-48))**(10\/9) assuming k is positive.\nAnswer: k**(-2264\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -328611 - -210611. Round b to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + (8 - (18 - 8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 198099?\nAnswer: -198092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371376?\nAnswer: 2, 3, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88*24\/1056)\/(-1*(8\/(-4))\/(-94)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 816051939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291098*t + 0*t**3 - t**3 + 291098*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/68530 and 131\/342650.\nAnswer: 342650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrlffflwfwfwfrfffr. What is prob of picking 2 w and 1 x?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 8*m**2 + 8*m**2 + (3*m**2 - 2*m**2 + 0*m**2)*(-20 - 14*m + 20).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*o + 215 + 195 = 429*o - 165*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -25214*t - 680789. What is j(-27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*v - 12, -2*v = -5*d + 24 + 4. Let z be d + -2 - 28\/13. Which is the biggest value? (a) -1\/2 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*r + 2*h - 85, -4*r + 5*h + 125 = 0. Find the first derivative of r*w - 17*w + 30*w + 5 wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138.1 - -32.9. Let r = i + -170.647. Round r to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1807 (base 12) to base 2\nAnswer: 101101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -19. Suppose -3*j + t + 7 = 0, -4*t - 5 = t. Solve -q - j = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/151 bigger than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -18. Let y = 4 + -11. Let i = y - j. Which is the nearest to -1? (a) -1\/5 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5224, -10414, -15698, -21082, -26572, -32174, -37894?\nAnswer: -43738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -217911.5 rounded to the nearest one thousand?\nAnswer: -218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024216581 rounded to 7 dps?\nAnswer: -0.0000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, 4, -1\/4, -313, 6, 44, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -3553 + 1393. Let w = g - -386. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(-9)\/(-18) - 660. Let t = r + 719. What is the remainder when t is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001757 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*n + 20 = 0, -3*c + 164*n + 133*n - 264*n + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.213 from 561.\nAnswer: 562.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2731, 2724, 2739, 2788, 2883, 3036?\n\"Answer: 2*f**3 - f**2 - 18*f + 2748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -15*i - 1. Let r(x) = 6*x + 8*x + 2*x + 8*x - 25*x. Determine a(r(t)).\nAnswer: 15*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4092130 to the nearest 10000.\nAnswer: 4090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + c?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let j(a) = 26927*a. Determine k(j(z)).\nAnswer: -26927*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 803517885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21223203 (base 5) to base 13.\nAnswer: 63ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 + 53*y - 2. Let t(z) = 48*z**2 - 849*z + 33. Give -33*m(a) - 2*t(a).\nAnswer: 3*a**2 - 51*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053611522 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 7*m + 0*m)*(-3*m**2 + 4*m**2 + 0*m**2)*(1587 - 789 - 798 - 1412*m) as r*m**3 + s*m**4 + q*m**2 + c + z*m and give s.\nAnswer: -11296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13184 (base 16) to base 13.\nAnswer: 297a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:01 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(304)*3 + (-6*(sqrt(19) + 3*sqrt(19))*-5)**2).\nAnswer: -820785 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 8*o + 9. Let c be d(-7). Suppose -n + 3*w + 84 = -3, 158 = c*n - 2*w. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7254 is divided by 148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0189 - 0.1189. What is the nearest to 0.1 in -2, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -581, -2304, -6979, -16082, -31089?\nAnswer: -53476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 2\/5 (b) 3934\/31 (c) 0.5 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and 0.65184.\nAnswer: -60.62112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/3, -2.2, -0.1, 4, -2\/7, 4\/127?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/(-9)*7020\/(-1440).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - f**2 + f**2 - 3*f**2. Let r(u) = 18*u + 5. Let c(j) = 19*j + 6. Let k(p) = 5*c(p) - 6*r(p). What is t(k(o))?\nAnswer: -169*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*j - j. Suppose 3*f + j = -u + 2, 2*f = -3*u - 5. Sort 5, u, 2, 0 in increasing order.\nAnswer: u, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 4*f + 6, -13*f + 16 = -5*b - 16*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/56)\/(-9)*(1 - (-5 + -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274 - 243. Calculate the remainder when 145 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 + 35*t**4 + 9*t**4 - 49 - 2*t**3 with respect to t.\nAnswer: 176*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 63 - 234. Let p = -26 + j. What is the highest common divisor of p and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 256, 283, 308, 331, 352, 371, 388?\n\"Answer: -c**2 + 30*c + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 189693*p**3 + 2398933554*p**2 - 10113264102524*p + 6067094886408.\nAnswer: (p - 12646)**3*(5*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*b + 177 = 31, -378 = 6*v + 3*v + 4*b - 89 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (9 + -8 - (-5)\/10)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4.386, 0.2 in descending order.\nAnswer: 4.386, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 228357 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 8*k + 13 + (1 - 2 - 1)*(-3 + 3 - 3*k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 21\/(-12))*-4. Let b = j - 4. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*u + 3*j, 0 = -2*u - 2*j + j + 11. Let f = -9 - -22. Let a = f + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58627?\nAnswer: 23, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 1 + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -4 + 4 - -3) + 5 + 11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55347836 divided by 76.\nAnswer: 728261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687532545 is divided by 229177512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 8*v = 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/16)\/(-1))\/((-18)\/20).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjjjqqqjqqjqj. What is prob of sequence jj?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -165958.876?\nAnswer: 165959.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 3. Let f be 1*(w\/39 + 0). Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107, 103, 97, 89, 79, 67, 53?\n\"Answer: -k**2 - k + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117153833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**2. Let j(i) = -i**2. Let s(b) = 2*b**2. Let r(h) = -11*j(h) - 6*s(h). Calculate r(v(w)).\nAnswer: -100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x - 3*x)*(-34*x**2 + 26*x**3 + 34*x**2) - 28*x**4 + 253305*x**3 + 6*x - 253305*x**3 - 2*x + x**4 + 2*x.\nAnswer: -79*x**4 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 1 i when three letters picked without replacement from ztyijwy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9\/5 + (-87010)\/(-1925)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1 + t**2 - 2 + 7 + 5*t. Let b be c(-6). Suppose b = 3*u + i + 1, -3*u - 5*i = -31. Solve -s - u = -5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16122903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/(-87)*9\/(-70)*(-21)\/(-18)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/15, -122.\nAnswer: -122, 1\/15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/((-9)\/4412)*((-6939)\/108 - -32)?\nAnswer: 43, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0528127 rounded to 2 decimal places?\nAnswer: 7.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 46508958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234325 to the power of 1\/2, to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 204470 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -12321079*i. Let j(l) = -4*l**2. Give j(k(o)).\nAnswer: -607235950896964*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*-2*sqrt(240))\/sqrt(12) + (3*sqrt(160))\/sqrt(8) + 5.\nAnswer: -10*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5933 = -57*k - 59*k + 1027. What is the remainder when 525 is divided by k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w - 5. Let r be 3 + w + -2 + 9. Solve -2*t + o - r = -0*t, 3*o + 6 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700062972?\nAnswer: 2, 3, 7, 2083, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008823 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 26*w**5\/3 - 158*w**4\/3 + 298*w**3\/3 - 178*w**2\/3 + 4*w = 0.\nAnswer: 0, 1\/13, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 - 5*p + 5. Let z be b(5). Suppose 4*l = z*l - 4. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4254 and 3792.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpxi when four letters picked without replacement from xtibp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*z - 15, 0 = -4*t + t - z + 19. Suppose 6849 = 3*q + t*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 20 - (-17 + 7 + (-6 - -7)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1)*1\/(-2). Suppose -2*v + 596 = t*v. Suppose 5*z = -5*g + 1 + v, 4*g + 3*z - 116 = 0. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + -1 + 1 - 2*sqrt(175)*-4 - 1*(-2 + sqrt(175)*5 + sqrt(175))) + -2)**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/6*14\/(-49). Suppose -22 - 18 = -5*k. What is the remainder when k is divided by h\/((-30)\/72 + 4\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -45*h**3 + 80547*h**2 + 247434*h = 0.\nAnswer: -46\/15, 0, 1793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/7)*k)\/k)\/(k**(-5\/4)*k*k*k))\/((k*k*k*k**8*k*k*k)\/(k*(k*k*k**2)\/k*k)) assuming k is positive.\nAnswer: k**(-309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/11 and -14\/179.\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgcu when four letters picked without replacement from {c: 6, g: 1, u: 8}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 48*z**3 + 35765072 - 35765072 + 3*z**2 + 77*z**3.\nAnswer: 125*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 1, -7, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*d + 85, -d - 5*u + 45 = d. Calculate the smallest common multiple of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-6) + (-3)\/9. Let p = -2 - o. Let r(j) = -j**3 + 6*j**2 + 4*j + 1. Is r(p) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102274 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 25*c + 116 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 124172452734?\nAnswer: -124172452742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268181, -268180, -268179, -268178?\nAnswer: -268177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*d + 342*d + 161*d + 942*d to o*d + i and give o.\nAnswer: 1774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1426*f**3*o + 604*f**3*r + 2*f**2*r - 125*f**2 + 4*f*o + 18*o*r + 1 wrt f?\nAnswer: 8556*o + 3624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07731 at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25708337729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2503816 = 976184. Round k to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 11) to base 15.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*b + 36*b**2 + 213*b - 60*b**2)*(-1 + b - 1 - 2*b).\nAnswer: 24*b**3 + 14*b**2 - 68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25526, 25529, 25532, 25535, 25538?\n\"Answer: 3*f + 25523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-3) + 3 - 2. Suppose 7*l - h = 4*l. What is the remainder when 2 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*s = -228*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 462*u**4 + 3*u**2 + 17593*u?\nAnswer: 5544*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t\/(t*t\/(t\/(t\/(t\/(t*t\/t**(-4))*t*t)))))\/t*t**(3\/7)*t*(t*t*t**(-1\/2)*t)**(-1\/31) assuming t is positive.\nAnswer: t**(-717\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2302*b + 1002 = -2072*b + 4222 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 12203 - 12203.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:45 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/120 - 7*r**5\/60 + 3*r**4\/8 + r**3\/2 + 2*r**2. Let z be t(-8). Let x(v) = v**2 + 2*v + 7. Is 11 a factor of x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 315 + 779 = 18*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3382 is divided by 375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**3 - w. Let z be b(-1). Let t be (12\/14)\/(3\/(-21)). Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-1515\nAnswer: -15.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146828 and 5687.\nAnswer: 1615108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c1 (base 13) in base 9?\nAnswer: -5275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - 246 = -21*r + 18*r + 1224 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + 10*x - 6. Let t(f) = 3*f**3 + 6*f**2 - 29*f + 17. Let p(z) = 17*j(z) + 6*t(z). Let c(i) = i + 2. Let y be c(-5). Determine p(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*t - 10 = 0, 5*v - 12 + 7 = t - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15900 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5352855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 16*d**2 + 18. Let m = -23 - -39. Is w(m) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12201*y + 73339. Calculate p(6).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((18 - 10) + 1 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -9. Let v = -16.7 - -23. Let g = v + q. Round g to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 3, s: 3, x: 4}. Give prob of sequence es.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1. Let s(u) = -124*u + 4 + 1 - 122*u + 247*u. Suppose 2*o + 2 = 4. Calculate o*s(f) - 5*x(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037342 is divided by 191?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 2\/3, 26, -1.8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 987707015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1, 5 in ascending order.\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -4.9071?\nAnswer: 5.0071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55290181 = 3*h + 5*s, 3*h + 4*s = 4*h + 18430049. Let m = -8930058 - h. Let f be m - (-2)\/(1 + 1). What is f rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -932 greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -88246.434 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)\/g*(g\/((g**6*g*g)\/g))\/g*g*g**(-3\/2)*g*(g**(-1\/7)\/g)\/g assuming g is positive.\nAnswer: g**(-163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2404848 (base 9) in base 2?\nAnswer: -100111110000010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 0. Let c = 6 + -4. Let r be 264\/44 + 29\/(-4). What is the closest to 0.2 in s, c, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 117 = -t, -4*u - 11 - 111 = -t. Let l = -25 + t. Let b = 95 - l. Put 0.5, 2\/3, b in descending order.\nAnswer: b, 2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 46, 98, 170, 262, 374?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6825 and 166530.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 2:12 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i - 20. Let o(g) = 31*g + 1 - 132*g + 40*g + 62*g. What is k(z) - 3*o(z)?\nAnswer: 2*z - 23","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by -101209?\nAnswer: 95\/101209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440564, 881068, 1321572, 1762076, 2202580?\nAnswer: 2643084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 144 = 2*h, 3*h + 3*p + 0*p - 246 = 0. Let f(j) = j**3 - j**2 - 56*j + 202. Let m be f(4). Calculate the greatest common factor of h and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/40)\/(2\/(-50)). Suppose 2 = 3*j + 5*x - 4*x, 4 = 2*j + 2*x. Let z be 4 + (1 - 1) - (1 + j). Solve z*y - 3 = s - 6, -2*s = 2*y + g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 863\/1726 + (-1813)\/14?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/23, -5\/4, -76?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 34 = 3*l - 14, 0 = l - 2*v - 10. Let u = -5 + 4. Put u, l, 1 in ascending order.\nAnswer: u, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/55 and -31\/825.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3\/3)\/((-76)\/(-6)*2160\/(-1440)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1805\/6 + 599\/2. Let r = -3.8 - -2. What is the second biggest value in 1, r, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.1. Let q = -14.144 + 17.144. What is the nearest to -2\/3 in d, -0.023, q?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/5940 and 79\/2342736?\nAnswer: 11713680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122233 + 1033?\nAnswer: 2123332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-332)\/(-83))\/(1\/(-2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.52 (b) 78 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/11 - -4\/143. Let t(m) = -m**3 + 6*m**2 - m + 8. Let z be t(6). Let v = 1.7 - 2. Which is the second biggest value? (a) z (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c + 31*c - 1140 = 29*c for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 20 = 0, -195*p + 2819 = 5*m - 196*p. Solve m*h - 568*h = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -536220, -1072450, -1608680, -2144910?\n\"Answer: -536230*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, p: 1, v: 2, s: 1, u: 2}. Give prob of sequence uspv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 1257*i + 2188*i**2 - 2412*i**2 - 5635*i**2 + 2 wrt i.\nAnswer: -11718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -808 - -1385. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37222307 * -0.3\nAnswer: 11166692.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*p**3 + 60*p**3 - 784*p + 782*p to the form z*p**3 + b*p + x*p**2 + l and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -72, -190, -354, -564, -820?\n\"Answer: -23*y**2 - 3*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 80. Let l be (-2 - (-12)\/3) + -56. Let r = -46 - l. What is the remainder when n is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 = -h, f + 8925 = 3*h + 8940. Let a(m) = 3*m**3 - 5*m**2 - 5*m + 34. Let z(p) = p**3 - p**2 - p + 1. Give h*z(g) + a(g).\nAnswer: -2*g**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49780627003.5129 + 49782867380.51059891. Let z = 2240203.9977 - o. Let n = z - -173. What is n rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.96 - 0.04. Let f = -645.8 + 649. Let k = -2.7 + f. Sort -0.04, k, n in descending order.\nAnswer: k, -0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 10, 4, -2, -77, -4, 29 in increasing order.\nAnswer: -77, -4, -2, 4, 10, 22, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(19) + -1) + 3).\nAnswer: -24 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372987 is divided by 152553?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*z**3 - 4354 + 12*z**3 + 4818 + 2*z + 9*z wrt z.\nAnswer: 189*z**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a, 1062465 = 5*u + 2*a - 1640178. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) 2\/67 (c) 2 (d) 14 (e) -10\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -3 (c) 0.056 (d) -1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4899 and 19780414?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-29)\/(g**(5\/2)\/g))\/(g**18\/g**(4\/7)))**(2\/35) assuming g is positive.\nAnswer: g**(-671\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 1\/40*a**5 + 16*a**2 + 0 - 1\/140*a**7 - 1\/80*a**6 + 1\/16*a**4 + 0*a**3 + 0*a. What is x in i(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 7. Let b(p) = -7*p + 2*p + 4*p - 5*p. Calculate s(b(j)).\nAnswer: -24*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 12*h**2 + 19*h - 395. What is x(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19926728 is divided by 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/(-11) - 20\/110. Suppose 0 = 3*r + 9, 3*g = 2*r + 29 - 5. Suppose g*o - 5*o = 0, -16 = -2*l + 2*o. Solve j = y*n - 5*n - 6, n + l = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114588701 rounded to the nearest one hundred thousand?\nAnswer: 1114600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/13 + ((-513)\/(-39) - 10). Solve w - c*w + 5*u = -29, 5*w - 5 = -u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.3 + -31.7. Let v = -27.4 - b. Is 0 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 1. Let c(k) = -350*k + 280. What is -c(n) + 280*u(n)?\nAnswer: 70*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*z + 24, 2*l + 8*z - 3*z = -15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-35)\/10. Let p be ((-5)\/2)\/((-2)\/12). Let q be ((-120)\/9)\/((-10)\/p). Calculate the highest common divisor of q and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 5*b + 10*b = 1700. Solve b*n = 23*n - 270 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 14. Let j be z(-8). Suppose -j*n = -5*n - 4. Suppose -1 = -m + n*t, -2*m + 74 = 3*m + 3*t. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.362604 to 3 decimal places.\nAnswer: -6.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:06 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -331*d + 112. Does 8 divide l(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0*z**3 - 3*z**3)*(-6 + 3 + 2)*(-6 + 6 + 17*z).\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 10*t**2 - 6*t - 15. Determine v(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.128968 - -762943.\nAnswer: 762943.128968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1\/8 - 1\/4*a + 1\/8*a**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 2 = 0. Let a(k) be the first derivative of 0*k**2 - 1\/2*k**4 + k + 0*k**3 - j. What is the derivative of a(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13\/7 + -157\/77. Which is the nearest to -3? (a) k (b) 4 (c) -4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, q: 2}. Give prob of sequence rrq.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4299 by 4299.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-3)\/(-6))\/((-147)\/105)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15*n**2 + 10*n - 3. Let g(p) = -p**2 - p + 3. Calculate 7*g(y) + k(y).\nAnswer: 8*y**2 + 3*y + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 4:39 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*z + 14888 - 1496 = 0 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1788*g**5 - 2*g**4 + 2*g - 232?\nAnswer: 35760*g**3 - 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z - z + (4 - 4 + 1)*(0 + 0 + 2*z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*z + 2*g - 81, 4*g = -4*z - 48. Let x = 4 + z. Let m be (-24)\/x - 16\/88. Solve -m*s + 0*s + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19cd42 (base 14) to base 16\nAnswer: -e063e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3, 3*s = -5*q - 13 + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/31668 and -123\/182.\nAnswer: 31668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 4*q**7\/15 + 41*q**6\/30 - 17*q**5\/15 - 41*q**4\/6 + 2*q**3 - 105*q**2 - 6*q. Solve s(d) = 0.\nAnswer: -3, -1, 1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65702788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - (-4)\/7. Let k = 197 - 200. Let b = 2\/2099 - 4204\/6297. What is the third biggest value in k, -1\/5, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55603511?\nAnswer: 313, 177647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -581*h + 213*h + 3103 + 3153 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + 2*s**2 - 4*s**2)*(1 + 8946*s - 9250*s + 2).\nAnswer: -608*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 - 32 = 0. Let x(g) = -g**3 + 4*g**2 + 7*g - 6. Let c be x(5). Solve 0 = c*b - 5*p + 20, 0*b + 2*p = 4*b + r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -522 + 521.279. Let c = l - 0.179. Which is smaller: c or -3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/40 + g**4\/24 + 11*g. Factor w(o).\nAnswer: o**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab8 - -8?\nAnswer: -ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 2*r + 3*v - 4, 2*v + 2 = r. Suppose -r*h + 7 + 7 = 0. What is the remainder when 13 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -79 (b) 0.1 (c) 1\/28 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 - 174. Is 10\/50 + t\/(-5) - -4 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*j + 418, -4*o - 6*j - 413 = -3*j. Let a = -53 - o. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d**2 - 22*d. Let u(g) = 2*g**2 - 5*g. What is 4*l(s) - 18*u(s)?\nAnswer: -4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 4, -1 in decreasing order.\nAnswer: 13, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Suppose 5*r - 27 = -2. Let w(g) = g - 1. Let v be w(6). Let t(i) = i + v*i - r*i. Calculate t(a(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1473 - 1459. What is the remainder when 491 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 1.35413.\nAnswer: 1.75413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from vzzvbzzzin.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -40.2481?\nAnswer: -160.9924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -507*w**5\/5 + 37830*w**4 + 4170084*w**3\/5 + 3728232*w**2\/5 + 170208*w = 0. Calculate w.\nAnswer: -20, -6\/13, 0, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 1422*u + 992655.\nAnswer: -(u - 1935)*(u + 513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20664\/2870)\/((-24)\/(-80))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1880 + 94 = -2*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.68 - -0.6746. What is w rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -278*w**3 + 83*w**2 + 0*w**4 + 118*w**3 - 3*w**4 + 2*w + 155*w**3 - 4*w to z*w**3 + j*w + l*w**4 + c*w**2 + r and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:50 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127941*n**3 - 95444*n**3 - 43912*n**3 + 42899*n**3 - 16417*n**3.\nAnswer: -240815*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -24) + -3 - 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 10, -4*w = -3*p - 2*w + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/10875240 and 1\/12234645.\nAnswer: 97877160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3213535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 334724 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**4\/4 + 7*t**3\/3 + 3441*t**2. Calculate b(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 - ((49 - -101 - 146) + -2 + -7 + -1)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-316*k + 0 - 1 + 321*k)*(-7*k + 2*k + 3*k)*(0*k + 2*k + 0*k) to the form b*k**3 + g*k**2 + z*k + s and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 + 55318672263?\nAnswer: 55318672082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3685.000002434 + -3685. Round a to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n**5\/5 + 14324*n**4 - 290172*n**3\/5 + 303296*n**2\/5 - 3568*n = 0 for n.\nAnswer: 0, 1\/16, 2, 1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12485 is divided by 82?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 466\/2330*((-4)\/(-34) - (-3226)\/34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 7*u - 2*u - 151, -4*u + 140 = -4*s. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -49\/4*s**4 + 22*s**3 + 0*s**2 + 0*s - 23. What is the third derivative of v(d) wrt d?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 4\/33*a**3 + 0*a - 1\/110*a**5 + 0 + 1\/660*a**6 - 119*a**2 + 0*a**4. Factor l(h).\nAnswer: 2*(h - 2)**2*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.22 + 0.22. What is the smallest value in k, -3, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899 - 5211*c - 491 - 410.\nAnswer: -5211*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -870105 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121 or 32634\/269?\nAnswer: 32634\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = -16. Let w be (-36)\/21 - 4\/u. Let q(g) = g**2 - 2*g - 4. Let l be q(3). Which is bigger: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 - 3*s**2 + s**2)*(-32 - 49*s + 35 + 365*s) - 15*s**3 + 15*s - 15*s as v*s + y*s**3 + o + b*s**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, d: 1, e: 4, h: 12}. What is prob of sequence hehh?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33700 and 2969644.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + 31. Let y = -90 + u. What is the nearest to -1\/2 in 2, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483273 and 1134?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/4)\/(x**(-9)\/x) assuming x is positive.\nAnswer: x**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 + 48*o**2 + 217*o - 40. Let l be n(-24). Round l to the nearest 1000.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 3, 0, -0.5, -8, -2 in decreasing order.\nAnswer: 3, 0, -0.5, -0.7, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 8*a - 4. Let m be h(8). Let b be ((-8)\/(-12))\/(m\/(-12)). Solve 4 = -b*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/12 + 3\/(12\/95). Let h(y) = -36*y**2 - 16*y + 20. Let q be h(f). Round q to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/2142890 and 7\/5052?\nAnswer: 12857340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/9 - (-13422)\/3)*-3600. Round k to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 1\/24*s**4 + 0 - 1\/4*s**2 - 1\/12*s**3 + 1\/40*s**5 - 2*s. Factor d(j).\nAnswer: (j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, -139 in decreasing order.\nAnswer: 32, 1, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/906*198\/(-132). Which is the smallest value? (a) 0.4 (b) v (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (266\/21)\/((-2)\/(-54)). Suppose 0 = 6*n + q - 0. Which is smaller: n or -54?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/10 - 57339*h**2\/10 + 486659*h = 0. What is h?\nAnswer: 0, 85, 57254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 61.1 (b) 86 (c) 5 (d) 1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 + 198. Suppose -67*u + r*u + 19859 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3)*1\/2. Let d be (27\/(-15) - m)*-15. Is 13 a factor of (d\/8)\/((-3)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + j**2)*((4728 + 4970 - 2762)*(-4 + 6 - 1) + 1 - 2 + 0).\nAnswer: 6935*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-6)\/30*26\/(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(16\/(-72)*9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 577\/5 - 97. Let q = r - 18. Factor 2\/5*y**2 + 2\/5*y**5 - q*y**4 + 0 + 0*y - 2\/5*y**3.\nAnswer: 2*y**2*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -312\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5, -4*i + 29 = -3*f - 2. Suppose -4*u - 6 = 2*p + 3*p, 3*p - u - 10 = 0. Let k be 7\/(-14) - (-6)\/p. Do i and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4453 - 310*p - 1977 - 2476.\nAnswer: -310*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.0549 + -1.0515. Is v smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 49500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 15. Let z be l(-7). Let n be z\/(-28) - 110\/(-7). Let d = n + -10. What is the remainder when 17 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.7 (c) 2 (d) -9\/10 (e) 15 (f) 114\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j + 32*j**2 - 33*j**2 - 9*j**3 + 0*j to the form i*j + c*j**3 + h + o*j**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j - 12. Let b(z) = -j*z + 2*z + 3*z. Let s(q) be the third derivative of q**4\/12 - 5*q**2 + 3. Give b(s(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 5 - 3*m + 4*m)*((0 + 2 - 3)*(-2 - 2 + 3) + 8 - 2 + 0) to the form o + h*m and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 9, z: 2, l: 1, s: 3, a: 1}. Give prob of sequence zza.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 8*i**2 - 43*i + 352. Let f be g(7). Solve -4*a + 5 = -3*w, -3*a - 5*w = -f*a - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-279)\/1116)\/(7\/(-4) + 2) + -10 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -5*k - 32. Suppose -4*t + k = -8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 9.218, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0168171 + -24.\nAnswer: -23.9831829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 0 - 3\/64*x**4 + 0*x**5 + 1\/320*x**6 + 0*x - 5*x**2 - 1\/8*x**3. Determine v, given that c(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -692 by 4.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, n: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22369746.\nAnswer: 2, 3, 7, 103, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 1, 10, -6 in descending order.\nAnswer: 76, 10, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrww when four letters picked without replacement from {w: 3, q: 7, t: 7, r: 1, s: 1}.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*y**2 - 72*y**2 - 46*y**2 as q*y**2 + w + z*y and give q.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -151 and -15450512874?\nAnswer: 15450512723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/20 - 7*a**5\/60 + a**4\/6 + a**3\/3 - a**2. Let d(q) be the first derivative of y(q). Suppose d(b) = 0. Calculate b.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309 - 47. Does 37 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17969, -17968, -17981, -18014, -18073, -18164, -18293, -18466?\n\"Answer: -k**3 - k**2 + 11*k - 17978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 32*i + 373. What is j(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12259 = 12253. Let m(l) = -5*l**2 + 8*l - 1. Let j(h) = -4*h**2 + 7*h - 1. What is w*j(y) - 5*m(y)?\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*c - 35 = 1387 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291 - -296. Suppose 0 = -4*g - 5*y - 11338632 - 6421343, p*g + y = -22199995. Round g to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -82, -91, -104, -121?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8620 - -5?\nAnswer: 8625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -580747*m + 580876*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1625.98057 - 1626. What is r rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137\/66 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/5733 and 37\/496125?\nAnswer: 6449625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 29 (b) -1 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 51 = -2*q. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 0 - 8)*(-2*t**2 + 2*t**2 + 2*t**2).\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r + 3*h, -3*r + 3*h - 10 + 1 = 0. What is the tens digit of 30 + (0 - (r + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 3 = 2*v. What are the prime factors of v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:27 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -9455?\nAnswer: 9470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 7 = -2*z, -4*q - 3 = 2*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Suppose -4*p = 10 + 2, -f*w + p = -11. Let r(t) = 4 - 6*t - 4*t**2 + 5*t**2 - 2*t**w. Give r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5286*q + 3646. List the prime factors of f(-4).\nAnswer: 2, 5, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i**2 + 17486*i - 34972. What is a(2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (475\/171)\/(-25)*(-7 + 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/2 - 3*l**3\/2 - 5*l**2\/2 + 3*l\/2 + 2 = 0. What is l?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 4. Let g be y(-2). Let v(i) = -7*i + 3*i - g*i + 5*i. Let h(f) = 2*f**2. Calculate h(v(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12361\/20 - 3089\/5. Which is smaller: -9984 or j?\nAnswer: -9984","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/27 and -11\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*c**3*y**2 + 4*c**3 + 410*c**2*y + c**2 - 58*c*y**2 + 21*c*y + y**2 - 24 wrt c.\nAnswer: 180*c*y**2 + 24*c + 820*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 2*y + 0*y + (2 + 5 - 2)*(2 - 2 - 2*y) + 3*y - 3*y + 8*y + (-2 + 3*y + 2)*(-1 + 2 + 1) - y - 4*y + 6*y to m*y + d and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 10:07 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244 - 160. Let m(k) = -k**2 - 10*k - 17. Let g be m(-5). Let n be (g - 4) + (7 - -1). What is the highest common divisor of b and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 5. Let c be i(-3). Let w(a) = -a**3 - a - 15 - a**c - 22 - 36 + 2*a**2. Let f be w(0). Round f to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 9*o**2 + 184*o - 165. Calculate y(-19).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 8:13 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4993, -10238, -15483?\n\"Answer: -5245*s + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**8\/80640 - n**7\/10080 - n**6\/2880 + n**5\/60 - n**2. Let r(l) be the third derivative of t(l). Factor r(s).\nAnswer: -(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g**2 - 93*g - 159. Let n be h(9). Let s = 365 - 232. Calculate the greatest common factor of n and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 2*u = -5733. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988321597.\nAnswer: 683, 2911159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 242*y**2 - 197 - 124.\nAnswer: -242*y**2 - 328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(1*sqrt(5)) + sqrt(5) + (1*sqrt(20))\/sqrt(4).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -569086 at most as big as -569086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 763362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3280.66 milligrams to kilograms.\nAnswer: 0.00328066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49647, -198551, -446719, -794151, -1240847, -1786807?\nAnswer: -2432031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -132737, 0.16, -16 in descending order.\nAnswer: 0.16, -16, -132737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - -12)\/((0 - 7)\/(-119)). Calculate the highest common factor of 368 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/20 - (-6)\/40. Let g = -81\/65 - -7\/5. Which is greater: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89 and 58829.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2548)*-3.\nAnswer: -42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21685 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(110)\/sqrt(2) + sqrt(55))*4)\/(5*sqrt(405)).\nAnswer: -16*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -7.7. Put -2, u, -3 in decreasing order.\nAnswer: u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1957*q**2 + 4572*q**2 - 2035*q**2 + 0.\nAnswer: 580*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**6\/3 - 32*d**5\/5 - 6*d**4 + 32*d**3\/3 + 14*d**2 - 150. Find r, given that k(r) = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 805 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0394572 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 326, 468, 610, 752, 894?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, -88, -228, -414, -640, -900, -1188, -1498?\n\"Answer: k**3 - 32*k**2 + k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97236 is divided by 7478?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -574089242 - -0.7454.\nAnswer: -574089241.2546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255571547 is divided by 4029.\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1933, 3956, 5979, 8002, 10025, 12048?\nAnswer: 14071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, 5, 2288, -8, 6 in descending order.\nAnswer: 2288, 6, 5, -5, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -48 + (9 - -5 - (18 - 16))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*l - 12, -3*l = -g + 2 + 10. Let q be 12 + (-9)\/3 + 2. Suppose -k + 9 = -q. Solve g = -9*d + 4*d + k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19326*i + 4116454. Calculate z(213).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 6*a + 5. Determine s(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -357095660 to the nearest 100000.\nAnswer: -357100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*o*p**4 + 2*g*o*p + 2*g*o - g*p**4 + 2*g*p - 22*o*p**2 + 13*o*p wrt p?\nAnswer: 24*g*o*p**2 - 12*g*p**2 - 44*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 705149 times 4\nAnswer: 2820596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, j: 1, c: 2, x: 1, b: 2}. Give prob of picking 1 j and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 2423\nAnswer: -48460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5692, 21649, 47868, 84349, 131092, 188097, 255364?\n\"Answer: 5131*x**2 + 564*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692891?\nAnswer: 617, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 9.601.\nAnswer: 5.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1724 + 1728. Solve m - 13 = -4*r, -y + 22 = -r + 4*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-38)\/(-171))\/(50\/90). Determine c so that -1\/10*c**2 + u*c + 6\/5 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 2*y - y)*(5*y + 1 + 5*y - 3) to u*y + s*y**2 + d and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204 + 136. What is the highest common factor of 40 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 0*n**3 + n**3)*(3*n**2 + n**2 + 13*n - 3*n**2 + (-1 - 2*n + 1)*(-1 + 1 - 2*n) + 4 + n**2 - 4 + n**2 + 3 - 3).\nAnswer: -14*n**5 - 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + -1 - (-1912 - -1996).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4213213446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 15. Let g(u) = -u**3 - 9*u**2 - 9*u - 6. Let l be g(s). Suppose 0 = l*d - 19 - 7. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -213788, -213786, -213786, -213788?\n\"Answer: -v**2 + 5*v - 213792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 1:08 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4959*x**2 + 4959*x**2 + 8*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**4\/12 - 7*r. Let w(k) = -k. What is w(z(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-15)*(-1900)\/(-285). Let t(z) = -3*z**2 - 12*z - 1. Give t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120120121 (base 3) to base 9.\nAnswer: 46517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnb when three letters picked without replacement from {f: 4, b: 7, a: 4, p: 1, n: 2, h: 1}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12307 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12003202231 (base 4) to base 7\nAnswer: -16330624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4063, 3954, 3795, 3604, 3399, 3198, 3019, 2880?\nAnswer: 2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - 1. Let n = y + 12. Solve 3*x - n*x = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*2\/(-4))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let z(j) = 8*j**2 + 3*j. Let k(n) be the second derivative of 2*n**4\/3 + 2*n**3\/3 + 28*n. Let i(c) = -3*k(c) + 4*z(c). Determine i(l(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -h + 4829, -3*h - 3*t + 875 = -13567. What are the prime factors of h?\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 12202101?\nAnswer: 12202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 16*d + 155*d - 873730. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 20, 4*c - 5*i + 6*i = 11. Suppose -c*g = 19*g - 34799. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4305 (base 6) in base 4?\nAnswer: 33101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5468568?\nAnswer: 2, 3, 7, 43, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 1 - 17. Suppose 3*y - m*y = 0. Find the first derivative of 5 + v + y - 2*v + 6*v wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -1 - sqrt(300)) + -1*sqrt(27) + sqrt(3))**2 + -2.\nAnswer: 4*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -457 + 468. Let j(n) = 3*n**2 - 21*n + 39. What is the smallest common multiple of 7 and j(i)?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.084 + 6.216. Let v = g + -6. Let i = -202 + 201. What is the nearest to -0.2 in v, 5, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*v - 9 = -183*v. Suppose z + 2*q - 5 = 0, 0 = 6*q - v*q + 9. Which is smaller: z or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 - 6*d - 14. Let r be j(7). Let c = r + -37. Let p = 2 + 2. Solve -k - c = -g + p*k, -13 = 3*g - k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + 0 + -5 + -6*(sqrt(7) + sqrt(7)*-2)**2 + -6*(sqrt(7) + -1)**2 + sqrt(21)\/(sqrt(3)*-1)).\nAnswer: -72*sqrt(7) + 570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.1 + 23. Let r = -32.6 + d. Let c = -5\/24 - 1\/8. What is the closest to 2 in c, -2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**5\/4 - 5*a**4\/6 - 5*a**3\/2 - 57*a - 30. Let g(w) be the first derivative of m(w). Let g(s) = 0. Calculate s.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18782*c + 7090*c + 9455*c in the form h + q*c and give q.\nAnswer: -2237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1219 = 2*z + 473, 3*a = 3*z - 1089. List the prime factors of z.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232 + 32123?\nAnswer: 100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Let t = 291 + -293. Which is the third smallest value? (a) t (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*111\/851\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11390 * -0.31.\nAnswer: 3530.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -245*h**2*j*n - 34*h**2*j + h**2*n**2 + h*j*n - 2*h*j - 651*j*n**2 - 2*j wrt h.\nAnswer: -490*j*n - 68*j + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and 57.62.\nAnswer: 56.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.89. Let s = o - -2.89. Let x = s + 2. Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1024 - -15?\nAnswer: -1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*m + 97*m = 8, -2*y - 3*m = 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95111317.\nAnswer: 7, 31, 438301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -5*f - 26, -5*f - 8*p + 9*p - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -1\/24*y**4 - 50*y**2 + 0 + 0*y + 0*y**3. Let f(o) = 7*o + 2. Calculate -f(j) - 2*v(j).\nAnswer: -5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2198898*o**4 - 2*o - 626379 wrt o.\nAnswer: -26386776*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (128\/(-40))\/(12\/(-2430)). What is the highest common divisor of 2016 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2\/1033?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l. Let m(b) = -141423*b**2 + 354*b + 2124. Let s(k) = -4392*k**2 + 11*k + 66. Let f(u) = -11*m(u) + 354*s(u). Give j(f(i)).\nAnswer: -6195*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1616 + 3618 - 1677 + 7*k - 6*k.\nAnswer: k + 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(-3)\/(-18)*2. Let i(c) = -c**3 + c**2 - 3*c - 6. Let u be i(l). Suppose 4*r - u - 98 = 0. Calculate the remainder when r is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, u: 3}. Give prob of sequence urur.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y + 4. Let p be x(-3). Let i be (3\/(-5))\/(11*(-10)\/550). Calculate the remainder when 19 is divided by 11 + -4 + p - i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-13 - (8 - 24)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1102117 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*y - 0. Let z be (2\/1)\/(y\/(-32)). Suppose 0 = 3*f - z*f + 10. Solve 0 = -0*q + f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 31*r**2 + 46*r + 126. Let g be s(-14). Let x = -29 - -79. What is the greatest common divisor of g and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, 123, -5, 5, 7 in increasing order.\nAnswer: -5, -4, -2, 3, 5, 7, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 6 + x - 7.\nAnswer: x - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16242030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m - 2*m**2 + 1 + m**2 - 1 + (124 - 92*m - 124)*(-3 + 3 - 2*m) - 2*m**2 + 4*m**2 + 0*m**2.\nAnswer: 185*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -17*d**2 + 229. Let s(a) = 5*a**2 - 76. Calculate -4*l(g) - 14*s(g).\nAnswer: -2*g**2 + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 q when four letters picked without replacement from eeeeqeq.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073645 is divided by 90400.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 3*j + 3. Let w be k(-2). Let z be 4\/(-3) + 4\/3. Suppose -p = 3*b + 8, 4*b + 3 = -p - 7. Sort z, b, w in descending order.\nAnswer: w, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -46 (b) -0.3 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*z - 251 = -75*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/7)*h*h*h\/(h\/(h**(8\/7)\/h)))\/(h**5*h*h*h\/((h*h**(1\/2))\/h)) assuming h is positive.\nAnswer: h**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -6537?\nAnswer: 6534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -19*m**3 - 21*m**2 - 11*m + 35. Let o(y) = -17*y**3 - 18*y**2 - 9*y + 36. Determine 7*o(d) - 6*v(d).\nAnswer: -5*d**3 + 3*d + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**2\/2 + 2. Suppose -16 - 1 = -g + 3*o, -o + 5 = 5*g. Let x(s) = -2*s**2 + s**2 + 3*s**g. Determine x(v(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 5*j + 8 = 0, -j - 16 = 2*p. Let u be (-2 + -10)*p\/24. Solve -c + 4*v = 5, -5*v = u*c - v - 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 3*l + 2. Let b be -2 + 2\/(-3) + 2\/3. Determine u(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 7 + (-1)\/1. Suppose 2*h = -5*p + 8, -868 + 864 = p - h. Let o = 1 + 4. Sort p, a, o.\nAnswer: p, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(5 + 3 + 4*(-5 + -2*sqrt(1377))*-5))**2.\nAnswer: 77760*sqrt(17) + 2214866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 + j - 3. Let w be o(6). What is the first derivative of -3*a + 2 + w*a + a + 0*a wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5570, -11133, -16722, -22349, -28026, -33765, -39578, -45477?\n\"Answer: -2*u**3 - u**2 - 5546*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 2\/39 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4a5c1 (base 15) to base 3\nAnswer: 110001212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -6293.\nAnswer: 1\/6293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 3*h**4\/4 + 32*h**3\/3 + 101*h**2 + 473. Find the second derivative of f(y) wrt y.\nAnswer: 18*y + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/(o*o**(-1\/3)\/o))\/o)**(-4\/7))**(-2\/49))**(-3\/43))**(-1) assuming o is positive.\nAnswer: o**(8\/14749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {t: 3, l: 1, n: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-2 + 3) - -7) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(1053))**2 + sqrt(104)\/(sqrt(96)\/sqrt(48)).\nAnswer: -34*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(888\/(-126) - -7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -7.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuufcrucczhuc. Give prob of sequence fr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**3\/3 + 4*a. Let n(h) = -2*h**2. Calculate g(n(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2778*w**5 - 2*w**3 + 1125*w**2 - 2*w.\nAnswer: -166680*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 293, 3, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136\/21 - 50\/7. Suppose -4*d + 2*l + 14 = 0, -5*l - 22 = 3*d - 0. Which is the nearest to d? (a) y (b) -5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**3 + s**2 - 8*s - 8. Let q be r(-1). Suppose 8*w - 5*w - 125 = -q*c, -4*c + 164 = 4*w. Calculate the greatest common factor of w and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-62)\/(-6) - 2)\/(7\/21). Solve -4*i + o = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**7\/140 + q**5\/8 - 16*q**3\/3 + 20. Let h(f) be the third derivative of n(f). What is the second derivative of h(s) wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 16}. Give prob of picking 4 o.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.46 - -0.46. Put -0.3, 1, 0, y in increasing order.\nAnswer: y, -0.3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 2*k**4 + 4*k**2 - 9*k**4 + 3*k**2 - 5*k**2 + 49*k in the form n + h*k**3 + p*k + d*k**2 + b*k**4 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 105\/(-14)*(-2)\/3. Let m = 187 - 191. Let z = -10 + 5. What is the second biggest value in z, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -92.000004207. Round v to 7 decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m - 737 + 3184 = -501 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/o)\/o)\/o**(1\/5) assuming o is positive.\nAnswer: o**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5 + 14*j**4 + 45*j**3 + 52*j**2 + 20*j = 0?\nAnswer: -10, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {x: 2, d: 2, o: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7953 - 7952.93067. Let z = -0.069 + s. Round z to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/10 - 16*c**2. Let j(m) = m + 10. Let u(d) = d + 5. Let i(g) = j(g) - 2*u(g). What is h(i(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2691, 10874, 24517, 43614, 68159?\n\"Answer: -u**3 + 2736*u**2 - 18*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 7*o**4\/24 + 43*o**3\/3 + 2*o**2 + 78*o. What are the prime factors of n(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -583 (base 10) to base 4\nAnswer: -21013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 15) in base 13?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2 + 2*b - 2. Determine x(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 2, f: 2, c: 7, h: 1, b: 2}. Give prob of picking 1 b, 1 n, and 1 h.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**4 - 594*q**3 + 31752*q**2 - 461280*q + 1756800 = 0?\nAnswer: -244, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1887684 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1019*x - 1900*x + 1388*x)*(-1 + 5 + 1) + 2*x - 2*x + x in the form d + t*x and give t.\nAnswer: 2536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - o - 1. Suppose 0 = -6*l + 3*l + 39. Let g(z) = -7*z**3 + 6 - z**3 + l*z**2 + 6*z - 8*z**2. Give -6*d(c) - g(c).\nAnswer: 2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 2*l + 1 + 18 + 3 as g*l + h and give h.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 56983048.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -85914*v - 257733. Give t(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -2 + -8 + -2 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-7 - -8) + (-4)\/2). Suppose f*m + 5*w - 580 = 0, -1 = w - 6. Calculate the highest common factor of 37 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 19*h = 0. Solve h = -3*m + 7*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**2 + 7*v - 5. Let d be 28\/(-3)*9\/(-6). Let m(t) = -3689293476*t**2 + 3689293477*t**2 + 1 + 0*t - t. Give d*m(w) + 2*o(w).\nAnswer: -2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 12, -3*g = -3*r. Let x be (-10)\/(-4*g\/6). Solve -x*n + 13 + 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 2*c**2 + 3*c. Let j be t(3). Suppose -6 = 3*p - 6*b + b, 5*p = 4*b - 23. Let w be (p - 85\/(-10)) + (-2)\/16. Does j = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -0.28, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 8736 = 12*d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 32*t**3 - 15*t**3 - 16*t**3 - 2 - 4*t**2. Is 5 a factor of r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41030222 + 104?\nAnswer: -41030113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1720*x - 1716*x + 33 - 33.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**3 + 47*h**2 + 5*h - 12. Let x be c(8). Let j be (-2)\/(-12)*x\/8*-4. Factor 8\/3*k - 4\/3*k**j - 2\/3*k**4 - 8\/3 + 2*k**2.\nAnswer: -2*(k - 1)**2*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - -1*sqrt(90)*2)\/sqrt(5))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 1. Let u = j - -1.6. Let z = -0.1 + -0.1. What is the nearest to 0.1 in 3, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-25436220\nAnswer: 127181100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71\/8? (a) 2 (b) 5 (c) -8 (d) -912\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2188028 or 2188577?\nAnswer: 2188577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -603, -1053, -1601, -2247?\nAnswer: -2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 1. Suppose -17*t + 20*t - 807 = 0. Let o = -272 + t. Let j(d) = 2*d - 5. Determine o*z(v) + j(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -58 - (-2 - (-35 - -31)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 6*c. Let v(h) = -h**2 + h. Let t(d) = -3*v(d) - x(d). Find the second derivative of t(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347003375 to the power of 1\/2, to the nearest integer?\nAnswer: 18628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, s: 2, y: 3, w: 3, n: 3, u: 3}. Give prob of picking 1 w, 1 u, and 1 h.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 + 260547*g**3 - 7542922491*g**2 + 72796744265865*g - 145563318926094.\nAnswer: -3*(g - 28949)**3*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 320 - 69 - 105 - 11*o - 79.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15212.04km in centimeters?\nAnswer: 1521204000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 3*m + 3*m)*(-135 + 11*m + 135 + (-3*m + 3*m + 3*m)*(-5 + 3 + 4) - 1 + 2*m + 1).\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/49 - -1010\/637. Calculate the common denominator of z and -47\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 2, p: 1, t: 1, f: 2}. What is prob of picking 1 t and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*v = 2*h + 2, -h + 4*v + 9 = 0. Let f = -2\/1003 - 2995\/7021. What is the nearest to h in f, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15336 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.96 - -28.54. Let p = b + -23.5. What is the second biggest value in -1\/4, -1\/5, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068 less than -90?\nAnswer: -89.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8) - 118467\/6. Let g = -7745 - o. Round g to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 518064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*v - 120 = 267*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294 less than -0.046?\nAnswer: -1294.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42029075 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z*z**4)\/z*(z\/(z*z**(-11)))\/z*((z\/(z\/z**(-2\/9)))\/z)**(2\/117) assuming z is positive.\nAnswer: z**(15773\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + 2*j**2 - 4*j**2)*(9 - 5 + 11)*(-6*j + 0*j - 4*j) to the form r*j**3 + g*j**2 + a + p*j and give r.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22617, -2, -307.\nAnswer: -22617, -307, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -19. Let h be 10000*n\/(-9)*3. Round h to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 divided by -1313?\nAnswer: -782\/1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22338 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 65?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1384 divided by -4.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**4\/2 - x**3\/3 - 2. Suppose -1 = f + 4*f - 2*p, -f + 5 = -3*p. Let u be t(f). Solve 3 = 2*n + 2*r - r, -r = -u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6910 (base 10) to base 7.\nAnswer: 26101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**4*s**2 - 6365*f**4 - 2*f**3 + 53*f**2*s - 4*f**2 - f*s**2 - f*s - 62*s**2 wrt f.\nAnswer: 192*f*s**2 - 152760*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/15 - 24\/(-12). Suppose 4*c = 3*m + 10, -2*c + 12 = 2*m - 0*c. Suppose -m*f + 4 = -6*f. Is f at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/6608 - (-3795)\/60357.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 25*d**2 - 3*d + 2. Let r(x) = -x. Determine p(q) - 3*r(q).\nAnswer: 25*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/3)\/2*4\/(-12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -5*c - 9, -180 = -5*w - 3*c - 175 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -491936, -983887, -1475838, -1967789?\nAnswer: -2459740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 812*x**3 + 11*x**2 - 27*x - 10. Let z(j) = -407*j**3 - 6*j**2 + 13*j + 5. Let y(d) = 6*k(d) + 11*z(d). Find the second derivative of y(m) wrt m.\nAnswer: 2370*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvzvhzvhvvzzzzzhvz. What is prob of picking 1 z and 1 h?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/5 + 48801*t**2\/5 + 97611*t\/5 + 48807\/5 = 0. Calculate t.\nAnswer: -1, 16269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-148) + ((-34)\/8 + 4 - 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 1)*2 + sqrt(320)*-1 + 0 + 0.\nAnswer: 2 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 9 = d, -8*p + 10*p - d + 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-14))\/((-3770)\/364).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 866*m**2 - 173*m**2 - 171*m**2 - 174*m**2 - 174*m**2 - 176*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**3 + 16. Let z be 2\/(-4) - 154\/(-44). Let y(x) = -12*x**3 - 31. Let s(g) = z*y(g) + 5*l(g). Differentiate s(i) with respect to i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -15*s. Let j be b(-1). Let f(u) = -u**2 - 5*u - 2. Let i be f(-4). Suppose i*a = a. Solve 3*t - j = 4*v, -t + 5 = v - a*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p + 5. Let i be u(-6). Suppose a + i = -5*q, 14 = -2*a + 4*q - 9*q. Solve 5*j = 5*z - 35, a*j + 5*z + 0*z = 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 140?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3 + -2)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/5*(2\/1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -3.07, 23, -0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 2*q**2 - 3*q - 1. Let j be o(3). Suppose -f - 8 = -0*f. Let m be ((-3)\/6)\/((-1)\/f). Sort -5, m, j.\nAnswer: -5, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n + 74*n + 4*a = 36, n = a - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -0.02. Let o = -10.6 + 15.6. Let i = -0.2 - -0.4. What is the nearest to 4 in o, i, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 224*x**2 + 6*x**3 + 5*x**3 + 106*x**2 + 111*x**2.\nAnswer: 11*x**3 - 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6199.1476 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1254 + 628 - 106*o**2 + 2*o - 2*o**3 + 627 to the form v*o**3 + a*o**2 + p + y*o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -915, -1, 8723 in ascending order.\nAnswer: -915, -3, -2, -1, 8723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 56. Let h = 26 - y. Is 11 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27694250659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294667.546 minus -1377?\nAnswer: -1293290.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 3*z**2 + 5*z - z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -2\/27, -5, -238081 in decreasing order.\nAnswer: 1\/8, -2\/27, -5, -238081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 28677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 - 1687226*i + 43869228 = 0. What is i?\nAnswer: -843639, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -4*i - 4*s - 925, i = 3*s - 260. Let d = 277 + i. Which is the nearest to 1? (a) -3 (b) d (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -78*m**3 + 3*m**2 + 27*m + 24. Let y be g(-5). What is y rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2888*f**2 - 1132*f wrt f.\nAnswer: -5776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -679*n - 6*n**2 - 526*n + 856*n.\nAnswer: -6*n**2 - 349*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 + 15 = -3*g, h - 4*g = 23. What is the highest common factor of 9531 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 71\/2 + (-375)\/150. Is (-3)\/(m\/(-22)) + 27*559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 98\/20 - 174\/60.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 7*t**2 + 6*t - 10. Calculate the lowest common multiple of u(-8) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -878992\/7 + 5546438981\/44170. What is the common denominator of 37\/8 and r?\nAnswer: 25240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18168 - 18168 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 10930 + 28376. Find the common denominator of 87\/14 and 1*-2 - 2431\/v.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167595 (base 10) to base 12\nAnswer: 80ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 10. Let a(d) = -d + 10. Let y(w) = -5*a(w) + 6*o(w). Let p be y(-6). What is the greatest common divisor of 176 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i. Let n(z) = -5*z. Let h(r) = 5*n(r) + 8*o(r). Let y be h(-2). Find the first derivative of -13 + q**4 + 15 + 3*q**y - 3*q**2 wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8418263 at most -8418263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 16*z. Let j(c) = -147*c**2. Give j(h(y)).\nAnswer: -37632*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15676 = -6*v + 206. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254636885.\nAnswer: 5, 450927377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4b27 (base 15) to base 8\nAnswer: 37214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2\/8 - 18147981*w\/8 - 2268498 = 0.\nAnswer: -1, 6049328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 326061.2 litres in millilitres?\nAnswer: 326061200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = -1. Let x(w) = w**2 - w + 5. Let b(a) = -3*a**2 + 3*a - 14. Let j(r) = -3*b(r) - 8*x(r). What are the prime factors of j(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39024777 bigger than 273173440\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30593 + 336521\/11. Let u = 8.3 + -8. Which is greater: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*6\/(-9)*(-1)\/(-2). Suppose -k*i - 3*b = -90, 2*i - 10 = 2*b + 90. Calculate the greatest common factor of i and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 28*t**2 + 14*t + 5. Let c be x(0). Solve 5*z - b - 37 = -5*b, z + c*b - 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6 - 7*p + p**3 - 7*p - 7*p + 15*p + 6*p**2. Determine i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.952 - -0.952. Let t = 1 - 0.96. Let v = t - 0.34. Sort f, v, -2\/13 in decreasing order.\nAnswer: f, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/6 + 13485643*l\/6 - 26971294\/3 = 0.\nAnswer: -13485647, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 7*y - 10. Let v = 51 - 45. Let c be i(v). Let x = 42 + c. Solve -x*a = 10 - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 519*d**2 + 5*d. Let n(t) = -779*t**2 - 7*t. Calculate -7*h(v) - 5*n(v).\nAnswer: 262*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3404 divide 724484221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/26089 and 25\/5210346.\nAnswer: 36472422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + 79898\/(-2496))\/((-2)\/(-68)) - 6\/(-9).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1338106971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 14.7. Let q = o - 2.29999894. Round q to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5\/4 + 15*d**4 - 87*d**3 + 327*d**2\/2 - 519*d\/4 + 75\/2 = 0 for d.\nAnswer: -25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/3, -27480, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -42, -0.1, 0.3, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02598 + -0.018726. Round l to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-3) + 52032\/(-2439)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*-1*(14 + -1). Suppose v = 3*u + 4. List the prime factors of 2 + (0 + u - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.447947 to three decimal places.\nAnswer: 3.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0)\/(46\/322). Let n(k) = -4*k + 14. What is n(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.049?\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 141. Find the third derivative of -8*p**l + 9*p**2 - 40*p**6 + 37*p**2 wrt p.\nAnswer: -4800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3652872 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60, 44, 14, -36, -112, -220, -366, -556?\n\"Answer: -x**3 - x**2 - 6*x + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4050 is divided by 3812.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18388.47ml to litres.\nAnswer: 18.38847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -2269\/8?\nAnswer: -2269\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 468 = 2*b, 156 = 20*z - 24*z - 5*b for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12535)\/10 - 2\/4. Let c = 19973\/16 + f. Calculate the common denominator of 95\/22 and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-12))\/(3\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8730.646 milligrams in nanograms?\nAnswer: 8730646000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/2423?\nAnswer: 12\/2423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 1224 = 3*r. Suppose r = 22*a - 17*a. List the prime factors of a.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 148 = -49. Suppose -j*t = 3*c - 14*t - 333, -3*t - 545 = -5*c. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*120\/((-40)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/37548 and 109\/2378040?\nAnswer: 7134120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 3)*(26 + 0 - 8)*(3*a - 4*a - 2*a).\nAnswer: -324*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002261232 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/4 - 4*h**3\/3 + 7*h**2\/2 - 2*h - 7. Let t be r(-5). Let b = -139 - t. Is 43 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4149175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -0.8986. Round n to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3228, -3240, -3266, -3312, -3384, -3488, -3630?\nAnswer: -3816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6132\/(-4088))\/(81\/4)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.885 in 4, 6, 1, 0, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -111, 0.42, 3\/2, -2\/15, -0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 20*h + 139. Let r be x(15). What is the second derivative of -245*u + 4 + 6*u**4 + r*u + 1 - 12*u**2 wrt u?\nAnswer: 72*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8461, -15877, -23323, -30799, -38305, -45841, -53407?\n\"Answer: -15*a**2 - 7371*a - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 282 = 23*n. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(4) - sqrt(576)*1))\/(sqrt(18)*-2 - (sqrt(2) - -5*sqrt(50) - sqrt(2))).\nAnswer: 11*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -462 and -0.16.\nAnswer: -462.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 1\/2*k**4 + 0*k**2 + 0 + 19*k + 2\/3*k**3. Solve z(c) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 109, -0.4, -2, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -2*j**3\/15 + 8*j\/5 - 13. Factor n(y).\nAnswer: -2*(y - 2)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -392*a**2. Let f(l) = l - 3. Let k(n) = -8*n + 9. Let u(w) = 3*f(w) + k(w). Calculate u(d(o)).\nAnswer: 1960*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11060767 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o - 45 = -5*j, -4*j + 39 = -5*o. Suppose -l + j*x - 2*x = -34, 2*x = -2*l + 18. Calculate the lowest common multiple of l and 132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 + 3*d + 5. What is a(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18626 and 9514.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 5184?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 - -204. Solve 3 - h = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z - 14. Let c be p(11). What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495593601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72273\/20 - 3611. Calculate the common denominator of (-30)\/(-4)*(-381)\/(-59436) and f.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -76025, -2\/13, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**5 - a**4 - 8*a**3 - 3489*a**2 wrt a?\nAnswer: -780*a**2 - 24*a - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*h - 870 = -92, -4*h + 1604 = 2*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - x + 2*x - 175*x**2 + 153*x**2 as k + f*x + l*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610\/642697 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -962*x**4 + 17*x**2 + 109415*x.\nAnswer: -11544*x**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 162505242 and -0.1.\nAnswer: 162505241.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -20 + (0 - (2 + -11 + 20 + 17))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*j*o**3*r - 4*j*o**2*x**3 + 8*j*o*r - 2*o**3*r + 17*o*r*x**3 - r - 13*x**2 wrt j.\nAnswer: 6*o**3*r - 4*o**2*x**3 + 8*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 46*u + 2464\/3.\nAnswer: -(u - 154)*(u + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 817158 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**6\/15 - 6*g**5\/5 - 17*g**4\/10 + 2*g**3 + 16*g**2\/5 + 1924. Let s(n) = 0. Calculate n.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 4*q**2 - 8*q - 2. Let s be m(6). Suppose -i = -1, 2*i = -2*z - 4 + s. Suppose -z = -2*o - 2. Solve -3*k - o*j = -4 - 5, 0 = j + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 86. Let n be y(15). Solve -12 = n*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8 + -16.2. Let y = 77.376 + -77.876. Which is the third smallest value? (a) j (b) -0.2 (c) y (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -68. Solve -v + 3*v + n = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 37834.8 years?\nAnswer: 37.8348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 + 7)*(-150*c**4 + 150*c**4 - c**5).\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28447372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {g: 1, t: 1, s: 2, w: 1, v: 1, q: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146 - 146 + 10*f + (7 + 1 - 4)*(3 - 3 + 2*f)*(1 - 1 - 1).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.383\nAnswer: -0.1915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1754, -18, 193.\nAnswer: -18, 193, 1754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -10.9, 5, -0.4, -0.004?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -774 - -779. Suppose 0 = 3*h + f*l - 23, -10 = -2*h - 4*l + 6*l. Solve 5*c + 5*w + 5 = 0, -h*c + 2*w = -c - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23498, -23495, -23492, -23489?\n\"Answer: 3*d - 23501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 198999 + 44004 = -5*f, -4*h + 62016 = 2*f. What are the prime factors of f?\nAnswer: 2, 11, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Let g be -6*(8\/(-48) - (-26)\/12). Let w be ((-28)\/g - v)*27. Calculate the highest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 7*o - 3 + 1)*(0*o**2 + 0*o**2 - 3*o**2) + 4*o**3 + o**3 - 3*o**3.\nAnswer: -4*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + j - 113, -2*j - 65 + 15 = -2*d. Suppose -3*v + 1 + d = 0. Solve v + 0 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 826, 1644, 2452, 3244, 4014, 4756, 5464?\nAnswer: 6132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 939, 1657, 2387, 3135, 3907, 4709, 5547?\n\"Answer: b**3 + 711*b + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4048 = -11*l + 22*l. Let r = 390 + l. Calculate the remainder when 394 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 12*b + 16. Let l(h) = -h**3 - 5*h**2 + 8*h + 1. Let q be l(-6). Let z be p(q). Solve -z*f + 2*u + 12 = 0, -5*f - 4*u + 4 = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 208*t - 640. Give f(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -149*l + 4030 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2. Let n(a) = 4*a**2 - 38*a + 1. Give -n(r) - 5*u(r).\nAnswer: r**2 + 38*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1d6 + 667?\nAnswer: a85d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90457881.\nAnswer: 3, 461, 65407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -44, -3 in increasing order.\nAnswer: -44, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200031022 (base 4) to base 12.\nAnswer: -6440a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:59 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12230716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 15*p - 756. Let z = p + 645. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4358356 is divided by 36623?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 315 - 156 + 3*p + 10*p**3 - 30*p**3 - 156 + 19*p**3 + 5*p**2. What is j(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-9)*3 - (-1)\/(-3). Let q be 10\/2 - (5 - c). Solve q*r - 15 = 5*u - 5*r, -2*r + 8 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/42*(-28)\/(-32)*2\/(-5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-1 - 0) + 3. Let b be ((-6)\/((-24)\/20))\/1. Suppose -4*d = x + 16, b*d - y = -5*x - 23. Solve -4*l - 3*f + 1 = -x*f, 5 = 5*l + 3*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 8, w: 3, o: 6}. What is prob of picking 1 t and 1 d?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -353 + 353.5. Which is the second smallest value? (a) j (b) -2\/59 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5611 - -0.2389. Sort 5, s, -8.\nAnswer: -8, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31061 is divided by 1294.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17c (base 16) to base 5.\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 9 = 16*p - 6, -11*p + 10 = 2*s - 9*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*102681899\nAnswer: -41072759.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + (-20 - -15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1239, -2485, -3731, -4977, -6223, -7469?\nAnswer: -8715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {p: 2, k: 4, c: 1, g: 9, n: 1}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27549444.\nAnswer: 2, 3, 13, 176599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1799702 or -1799666?\nAnswer: -1799702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/6 - 7*y**3\/6 - 3*y**2\/2 - 5029*y. Let a(i) = i**2 + 7*i + 1. Let n be a(-6). Calculate t(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 - 940 = -9*g. Suppose 2205 = 9*y + g. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 5. Let g be (-9)\/6*(12 - 14). Let b(k) = -k + 1. Let i(x) = -9*x + 12. Let f(w) = 5*b(w) - i(w). Let v be f(g). What is s(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 7*y**2 + 4*y + 3. Let h(p) = -470*p + 8468. Let i be h(18). Give d(i).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45640 (base 7) to base 2\nAnswer: 10110101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2)\/a)**(-2\/61)\/(((a\/a**(2\/19))\/a)\/a**(-4)) assuming a is positive.\nAnswer: a**(-4533\/1159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20223 divided by 321?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321536598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + (-11496)\/(-15). Let p(u) = 404*u + 31. Let b be p(1). Let w = z - b. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 577524*n**2*u**3 - n**2*u**2 + 2*n**2*u + 272914*n + 2*u**3 + 10*u**2 + u wrt n?\nAnswer: 1155048*u**3 - 2*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -4*i + a, -5*i + 2*i - a = -336. What is the remainder when 297 is divided by i?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*2\/2*(-3)\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 671\/99 - 2\/(-9). Let u be v + (-2 - 1) + 3. Let i(r) = r - 5. Calculate i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 1109*h**8\/336 + 109*h**5\/60 - h**2 - 554. What is the third derivative of z(g) wrt g?\nAnswer: 66540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/((-720)\/36))\/(5\/(35\/(-2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -30\/6012061?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37722 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -59. Let w be (9\/(-6))\/(6\/y). Let s = -31\/3 - w. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 6*i**2 + 0*i**2)*(3*i + 2*i - 3*i) - 3*i**2 - i**3 + 3*i**2 + (4*i + 7*i - 2*i)*(i**2 - 3*i**2 + i**2).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14652129 and 6519.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 95428283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Let q = 16 - 79. Let w = -64 - q. Which is the closest to w? (a) -2 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b**2 - 1393*b + 1393*b.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 6*k + 16 = 0, -6*d + 4*d - 4*k - 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + sqrt(300) + sqrt(300)*1)**2*5 + -3 + -1*sqrt(300) - (6*(3 + (sqrt(300) - (3 + sqrt(300)*1 + sqrt(300)))))**2)*-2.\nAnswer: -5394 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 11. Let h = o + 27. Solve -5*p - w = 29, 3*w + h = -4*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 60 = 3*x. Suppose b = -b + x. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12638*(-4)\/(-8)*1.\nAnswer: 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148 + 148 + 15*q)*(q**2 + 4*q**3 - q**2) + (-q**2 + 2*q**3 + q**2)*(3*q + 2*q - 3*q).\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 4*h**2 - 4*h + 11. Give b(-7).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -39. Let u = 590.7 - 562. Let x = j - u. Round x to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + y**2 + 0*y**2 - 1 - 2*y**2. Let x(u) = 4*u**2 - 2*u - 4. Suppose 5*t = -0*t + 10. Suppose -3*v - 4 + 1 = 0. Calculate t*g(z) + v*x(z).\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 7:18 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 421*1393.\nAnswer: 586453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 2*n + 4*n + (5*n - 2*n - n)*(-1 + 0 - 1) + 0*n + n - 2*n + 24825*n + 25171*n - 60274*n)*(4*n - n - n) to the form c*n + x + h*n**2 and give h.\nAnswer: -20564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - 0) + (4 - (9 - -7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -263, -600, -1075, -1688, -2439?\n\"Answer: -69*x**2 + 8*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 3*q - 72. Let x be t(-10). Which is smaller: -18\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*o + 464*o = 4*r - 2, 8 = -3*o - 2*r for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, j: 2, i: 6, h: 1, g: 2, a: 5}. Give prob of sequence uhj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24129514 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585752540 and 26810.\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.1 (b) -0.11 (c) 2\/11 (d) -3 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - -33. Suppose 3*i = a - 7, 2*a = 5*a + 3*i + 15. Let p be (16\/(-7))\/(a\/7). Calculate the greatest common factor of u and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138388 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416714351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 1. Let w be n(1). Let h(i) = -i**3 + i**2 - 1. Let t(y) = 3*y**3 - y**2 + 4. Let d(b) = 2*h(b) + t(b). List the prime factors of d(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 3:25 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*n + s = -401*n - 11, -2*n + s = 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-2*sqrt(432))**2.\nAnswer: 10367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 156, 1, 4 in increasing order.\nAnswer: -3, 1, 4, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9 = l - 7*n, 18 = -2*l - 3*n. Let s(k) = -11*k - 96. Let o be s(l). Solve 0 = -3*h + o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(245) + 1*sqrt(245) + sqrt(245))*3)**2 + 2.\nAnswer: 19844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*p**4 - 281*p**4 - 71*p**4 + (p**3 + p**2 - 2*p**2 - 3*p**3)*(4*p - 4*p + 4*p).\nAnswer: -332*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 3*t**3 - t**3)*(-5*t**2 + t**2 + 3*t**2) + (2*t - t - 2*t)*(-t**4 + t**4 + 2*t**4) - 41*t - 4*t**5 + 41*t.\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 13*g + 16. Let p be j(11). Suppose -x + 49 = -p. Suppose -2*i - 106 = -4*n, -4*i + 3*i + x = 3*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*0.841497\nAnswer: 22.720419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9 + 30130\/(-3340))*-7 and 17\/10.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8114.197 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.012647 + 0.287353. Let f = 8 - 3. Which is the second smallest value? (a) 21 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*((-1*(sqrt(2904) + -2*sqrt(2904) - sqrt(2904))*-3)\/(sqrt(16)\/sqrt(18) + sqrt(8)*2*6))**2.\nAnswer: -352836\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.197 + 6.007. Let l = 0.19 + p. What is the third biggest value in l, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/4)\/(b\/(b**(-3)*b)))\/(b**19\/b**(-3)) assuming b is positive.\nAnswer: b**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06491 to 3 dps.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2413042 (base 5) in base 4?\nAnswer: -22323210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 780, 2097, 3952, 6345, 9276?\nAnswer: 12745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -692816 divided by 1007.\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2954 - -9366. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 3724?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:38 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - q + 2)*(0*q**4 + q**4 + q**4) + 33396*q**3 - 33396*q**3 + 106*q**5.\nAnswer: 104*q**5 + 26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**7\/i))**(-28) assuming i is positive.\nAnswer: i**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33729.67 and -0.1.\nAnswer: 33729.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28878 + 28894. Let q(r) = -r**3 + 2*r**2 + 3*r. Calculate the smallest common multiple of q(-2) and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*c - 241 = 95 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b - 4. Let s be ((-8)\/10)\/(2\/(-5)). Let v be m(s). Suppose -2*c - c + v = -4*y, 4 = y. What is the least common multiple of c and 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a1 (base 15) to base 12\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301 and 12.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3524384, 3524435, 3524474, 3524495, 3524492, 3524459, 3524390?\nAnswer: 3524279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/8, -0.5, 5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*l**3 - 2660*l**2 + 2408*l + 320 = 0. Calculate l.\nAnswer: -40, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.602834348 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 371 - 373.696. Let n = s + -0.304. Let c = 0.5 - 1. What is the second smallest value in -4\/9, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 302562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 327722, 327704, 327696, 327704, 327734?\n\"Answer: d**3 - d**2 - 22*d + 327744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -0.8, 0.4, 3\/2, -0.03, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-1)\/2)*10. Suppose -j = -d*j + 40. Calculate the lowest common multiple of 13 + 3 - (3 + -1) and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 n, and 1 s when three letters picked without replacement from pssippinjppspjs?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20202202221110 (base 3) to base 9\nAnswer: 6682843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + 3.08. Let j = 3.2 - i. Let h = 4.8 + j. Sort -6\/7, h, 3.\nAnswer: -6\/7, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1579 - -1584. Solve -15 = h*v + 2*a, -a = 2*v + a + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 33\/11 + 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1, 0.1, 9.42 in descending order.\nAnswer: 9.42, 5, 1, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.702 + 0.002. Let a = k + 18. Let r = -6.3000074 + a. Round r to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28632 and 9792?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*j - 1011. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4658 + 4685. Calculate the remainder when 726 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {b: 9, e: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/12 - 14\/((-1176)\/140). Let z be 1 - (-4 - -2 - 0). Suppose 2*h + h - 3 = 0. Put j, h, z in descending order.\nAnswer: z, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (1260\/15)\/(-14) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.58628 + -2.956446. Let g = v + 1.37. Round g to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.25 + 24.2499733855. Round l to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from {w: 4, l: 2, h: 1, m: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12 and 149\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 134*l**2 + 14*l - 25*l + 16*l. Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7962253 rounded to three dps?\nAnswer: 0.796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128159333.\nAnswer: 128159333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*t - 41*v + 56*v, 5*v = 5*t - 4 - 66 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 7*b**2 - 2*b + 1. What is the remainder when g(-7) is divided by (-7 - 2)*4\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**6\/15 - 3*t**4\/4 + t. What is the third derivative of d(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -825*o + 875*o + 872*o - 1 + 640*o + 1583*o to j*o + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(50) - sqrt(1800)*-5)*6)\/((-2*sqrt(80))\/((sqrt(72)\/sqrt(3))\/sqrt(12))) + -1)**2.\nAnswer: -279*sqrt(5) + 389209\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10858519*i**2 + 2*i + 25423396 wrt i?\nAnswer: -21717038*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-36) + (-5)\/15 + (-1725572)\/339192\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2. Let b(s) = -2*s**2. Let w(z) = b(z) - 3*m(z). Let p = 8 - 5. Let u(d) = -3*d + 0*d + d**2 + p*d. Calculate w(u(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eededeeevddeeevv. What is prob of picking 1 d and 3 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 2 (c) 10 (d) 4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 9 (c) 1.57 (d) 6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 57*r - 42*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1223001322?\nAnswer: 1223001312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 0.1632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 26*u**2 - 2*u + 2. Let i(a) = 2*a + 19. Let y be i(-9). What is the tens digit of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65, 57, 45, 29, 9, -15, -43?\n\"Answer: -2*w**2 - 2*w + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v**2 + 5*v - 2. Let t(h) = 15*h**2 - 2*h - 2. Let j be t(-2). Let w = 67 - j. What is c(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.4 + -50. Let o = -6.6 - j. Is -2 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 + 500*o**2 = 0 for o.\nAnswer: -125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123267777 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-58)\/(-6) + -1)*3. Suppose 0 = v - 1, 75 + 2 = 2*y - v. Calculate the highest common divisor of r and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 4*p**2 - 3*p - 3. Give z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 600080311 to the power of 1\/2, to the nearest integer?\nAnswer: 24497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**3 - 21 + 9*f**2 + 27*f**2 - 3*f**3 + 0*f**3 wrt f?\nAnswer: 6*f**2 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1700 = -6*j + 23*k - 27*k, -836 = -3*j + 5*k. What is the highest common divisor of 7238 and j?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 4:31 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 + 663*u**3\/2 - 3595*u**2 + 5868*u.\nAnswer: -u*(u - 652)*(u - 9)*(u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-29)*l*l**(-1)*l**(3\/7))\/((l\/(l*l**(2\/19)*l))\/l**(-3\/7))**(1\/18) assuming l is positive.\nAnswer: l**(62\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.0416 (c) 1 (d) 5 (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1568216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 1, o: 1, y: 1, l: 1}. What is prob of picking 1 l, 1 r, 1 c, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699924 is divided by 2201?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:33 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439128753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 12, -2*b - 4*r = 20 - 62. Let j(k) = k**3 - 19*k**2 + 20*k - 27. Let t be j(18). What is the greatest common divisor of t and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 359.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -27 + 7. Suppose 0 = 3*w + v*u + 14, -3*w + 4*u = -7 - 19. Solve 1\/2 + l + 1\/2*l**w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/4)\/((-2)\/8). What is the remainder when 15 is divided by (-4 - 0)*d\/44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 p when three letters picked without replacement from {p: 9, l: 8, b: 2}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 + 22 = 0. Let w = h + 15. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -1\/4 (c) -988\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 12*w - 11*w. Suppose -5 - 1 = -3*g. Put w, -3, g in descending order.\nAnswer: w, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -965 - 6451 = 75*f + 337*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02917 and -120?\nAnswer: -3.5004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2333.79 greater than 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:31 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 691\/13. Let t = 3.4 + -8.8. Let g = 4.4 + t. Which is the nearest to g? (a) 0.3 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5201\/12 - -58343\/132. Let l = q + -2771\/132. Let s = -21\/4 - l. Find the common denominator of s and 83\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136130690 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 216285555?\nAnswer: 1730284440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4368 - 960. List the prime factors of n.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 2*o**2 - 4*o + 1. What is c(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256496.\nAnswer: 2, 11, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 14*x**2 + 36*x + 149. Let i be j(-6). Let y be ((-6)\/(-5))\/(36\/120). Let h = y + 1. Solve 3*z - h*n - 21 = -z, 30 = -5*z - i*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45876 + 1926881\/42. Let i = 39\/14 - v. Factor -2*s**3 - i*s**4 - 2*s**2 + 0 - 2\/3*s.\nAnswer: -2*s*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/7371 and 57\/1846.\nAnswer: 1046682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*k - 2*k + 4 + 3*k + 3*k wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 8 - 32. Let r(t) = -t**3 - 7*t**2 + t + 7. Let l be r(-7). Let q = l + 0. Solve -3*h + k + 10 = q, 2*k = h - 3*h + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 - -193. Suppose 2*d + 4*b = b + r, -b = d - 30. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -416.2, -0.1, -0.3, 4?\nAnswer: -416.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 365*h**3 + h**2 + 2*h - 9. Let v be j(2). Let x be v\/45 - ((-103)\/(-15) - 7). What is the greatest common factor of x and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (17 + 19 + -52)) + -6 - (-75 - 1)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -11*k**8\/336 - k**7\/105 - 3*k**4\/8 + 42*k**2. What is the second derivative of g(p) wrt p?\nAnswer: -220*p**3 - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/5 + 21\/20. Which is the closest to -0.03? (a) -2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*v - 37, 4*v - 6*v + 8 = 2*s. Solve -4*b - 3 = -s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -147 + 297*t + 157*t + 147 + 741*t in the form z + a*t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 790 = -4*z + 2*z, 0 = 4*v - 5*z - 1598. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 583102 * -0.5.\nAnswer: -291551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Suppose -t*y = 3*m - 21, -2*y - 2*m = -m - 10. Suppose 2*x + y*f - 10 = 0, -4*x - 2*f = -x - 15. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 2*m - 14, -3*d = -2*m + 16. Let u be (-3 - (0 + -7)) + (d - 0). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7.3. Let b = 516 + -512.9. Let d = b + l. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 246*x**2 - 53968 + 53968.\nAnswer: -2*x**3 - 246*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2)**2 + 3 + 3 + sqrt(39)\/sqrt(3) + 1.\nAnswer: sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4037 and 48077.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Is 0 - ((r - 3) + -48) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*((5 + sqrt(448) + (sqrt(448) + sqrt(448) + 0)*-4 + -1)*-3)**2.\nAnswer: -988560 + 20160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35\/11? (a) 14\/13 (b) 2 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2547 is divided by 621?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0515 - -0.2515. Put 9, 5, 4, t in decreasing order.\nAnswer: 9, 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 655.827 and 5059.1?\nAnswer: 4403.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 7*x - 2. Suppose 7 = 2*q - q. Let z be v(q). Let k be (-4)\/(-20) + (-24)\/(-90)*-27. Sort k, z, -5 in decreasing order.\nAnswer: z, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -2 + 8 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15*-0.05\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -2*v**7\/21 + 4*v**6\/15 + 8*v**5\/5 - 289*v. Factor p(o).\nAnswer: -4*o**3*(o - 4)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*f + 134 - 406 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24670 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d - 44*d - 1 - 30*d + 148*d.\nAnswer: 52*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -22*j**2 + 0*j + 0 + 4*j + j**3 + 26*j**2 + 3. Let d be h(-2). Solve d = w + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145.174 - 0.174. Let c = -144 + t. What is the nearest to -0.01 in -2, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5252\/(-1010))\/(13\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 74*p**2 - 3*p - 121*p**2 + 4 - 153*p**2 - 4. Let h(s) = 2*s**2. Calculate n(h(q)).\nAnswer: -800*q**4 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12446 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y + 58*y = -128095. Suppose -y = i - 12*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21920663.\nAnswer: 109, 201107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469 + 466. Put d, 3, -2.2 in decreasing order.\nAnswer: 3, -2.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/(-240)*8\/(-52)*-20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.1349\nAnswer: -0.6745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = h + 3097 + 2113, 0 = 2*o + 5*h - 5222. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21552 - 21550. Solve 2\/11*j**p + 0 + 0*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 7*p + 37 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 6*n + 289448 = 289910 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15070235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 10110?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546*253\/(-88)*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:17 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 + 1 - 4) + -2 + 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -314 (c) -580\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 555769, 1111537, 1667305?\n\"Answer: 555768*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {f: 1, t: 1, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 64 - 4521*d**2.\nAnswer: -4521*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.144 to zero dps.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008488 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from fhohtfftfahfoof.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 24, 2791, -0.4.\nAnswer: -18, -0.4, 24, 2791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)*t**(-2\/3)\/t)**(9\/4) assuming t is positive.\nAnswer: t**(-183\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 6*q**5 + 123*q**4 - 477*q**3 + 633*q**2 - 357*q + 72 = 0.\nAnswer: -24, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44746 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 25 - 97. Suppose -v - 17 = 3*l - 4*l, -5*l + 95 = -3*v. What is the lowest common multiple of l and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 20. Suppose -4*x - 2 = 3*p - 7, 5*x = -o*p + 1. What is the lowest common multiple of 8 and p - 1 - (-3)\/1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*m + 2*a, a - 5 = -4*m + 4*a. Suppose -4*t - 5*z - 103 = -309, -241 = -5*t + m*z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 5*r - 9*r)*(0 + 1 - 2) + (-2 + 3 + 0)*(0 + 0 + 3*r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 2:31 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.06 - 42.06. Do -1\/5 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8756, 17548, 26314, 35042, 43720, 52336, 60878?\nAnswer: 69334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 880086 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*y**2 - 110*y**2 + 222*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(7) - -2*sqrt(7)))\/(5*(sqrt(10)\/sqrt(5) + sqrt(2)) + sqrt(2)))\/((-1*-1*sqrt(10) + sqrt(10))\/sqrt(720)).\nAnswer: 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2390 - 4778 + 138*r + 2388 + 4*r**2 in the form n*r**2 + t*r + l and give t.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/12 - 4*f**3\/3 + 9*f**2\/2 + f. Calculate the least common multiple of 5\/2 + -1 + (-7)\/(-14) and j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/7 and 742\/154 - 1*4.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29*37\/5365)\/(-2).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 + 31*d + 110. Determine v(-4).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 875776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 258.83992 to 0 decimal places.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.9 + 28. Let w = 0.5 - 0.3. Put v, 3, w in increasing order.\nAnswer: v, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 8740 = 2170. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6 + 167*r**3 - 2*r**2 + 8*r - 166*r**3 - 5*r**2. Let b be p(5). Sort 5, -5, b in increasing order.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 14*l + 4. Let x = 0.14 - 5.14. Let v be (4\/(-27))\/(6\/9). Which is the closest to l? (a) v (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/((-855)\/152))\/((-4)\/10).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8870 - 4923. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a26 (base 14) in base 6?\nAnswer: -323322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -116, -110, -88, -44, 28, 134?\n\"Answer: n**3 + 2*n**2 - 7*n - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*x + 105. What is the third derivative of -5*g - 5*g**5 - g**4 - g**2 + 6*g**4 - 7*g**4 - x*g**5 wrt g?\nAnswer: -960*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -471314*x**4 - 299414*x.\nAnswer: -5655768*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -10 - 6. Suppose i*t + 39 = 111. Let g be (-2)\/8 + t\/8. Solve -5*b + g + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 16 = r + 2, -5*r - 4*s - 14 = 0. Let a = r + 7. What is the greatest common factor of 10 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135072 and 39060.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**2 + 2*n + 2. Let r(d) = -d - 1. Let q(x) = b(x) + 2*r(x). Let c(u) = 2*u**2. Give q(c(s)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -305, -1272, -3223, -6488, -11397, -18280, -27467?\nAnswer: -39288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -2*y**3\/3 + 2*y**2 + y + 31. What is q(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/5 of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8911\/(-10108) - 12\/(-19)) + (-242)\/(-72).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**2*k - h*k**3 - 10*h*l**2 - 60*k**3*l**2 + k**3*l wrt h.\nAnswer: -8*h*k - k**3 - 10*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1008332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 2*f**3\/3 - 3*f**2\/2 + 2*f + 4. Is v(4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -700, -700, -698, -694, -688, -680, -670?\n\"Answer: c**2 - 3*c - 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*s - 6 - 38, 2*s = -2*a + 104. Let q = -52 + a. Suppose -5*z = -4*u - 183, -35 = -q*z - u + 33. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82 and 40.8.\nAnswer: -41.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-6 - (4 + -6)) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49.7 + -50. Let f = -4\/57 + -86\/399. Which is the third biggest value? (a) -4 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50634810 divided by 444165.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = 3. Let w be (-51)\/(-7) - b\/(-7). Let d(t) = -23*t + 3. Let g be d(-2). Calculate the highest common factor of g and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17746 + 17749. Which is the third smallest value? (a) 2 (b) -3\/8 (c) 3\/650 (d) f (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*h + 838, -2*h = -h + 4*s - 290. Suppose -5*u = -1019 + h. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 + 5*z + 1. Let v be s(-4). Let l be 166\/(-996) - 1622\/(-12). What is the highest common factor of l and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 91*k**2 - 3*k - 27. Is u(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1165)\/(-2))\/((-15)\/40). Let l = -1573 - u. Calculate the common denominator of l and -36*(32\/66)\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2 - 43276*f - 43277 = 0.\nAnswer: -1, 43277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/90 and ((-46)\/(-4))\/(7 - 27).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + y + 12871. Give l(114).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let z(q) = q**3 - 2*q**2 - 2*q. Let b(k) = -3*l(k) - 3*z(k). Factor b(t).\nAnswer: -3*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*x = 9, u + 4*u + 327 = 25*u + 19*u + 3*x for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 2)*-1 + 1 + 254. Let n = g + -181. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13246757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 43170*s**2 - 345408*s + 690848.\nAnswer: (s - 4)**2*(s + 43178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 51.\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -150712, 1, -4 in decreasing order.\nAnswer: 1, -3, -4, -13, -150712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18993263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-380)\/(-57))\/20)\/(2\/(4*3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82, 86, 100, 130, 182, 262?\n\"Answer: m**3 - m**2 + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 508 = 460. What is the least common multiple of 16 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen eighths of a second?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308546471?\nAnswer: 2137, 144383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from {i: 8, f: 5}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 179466.\nAnswer: 897330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60.327 + -14.248. Let z = 2.042 + f. Let y = -48 + z. What is y rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131744088 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*t + 131 + 121 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u - 28. Let z be v(-8). Let n = z - 34. Solve -4*r - 3*h - 4 = 0, 6 = 2*r - h + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 14*b - 1. Let a be u(1). Let j be ((-24)\/(-7))\/((-747)\/(-17430)). Suppose -j = -a*q + 12*q. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56072, 56068, 56064, 56060?\n\"Answer: -4*b + 56076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3466 - 3435. Calculate the remainder when 774 is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o + 25. Let x(v) = 4*v + 6. What is -6*u(d) + 26*x(d)?\nAnswer: 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 0.4 (c) -1 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543238?\nAnswer: 2, 271619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -114360.12 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 32*u - 18. Let t(x) = -32*x + 21. Determine 5*t(q) + 6*v(q).\nAnswer: 32*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -103, -151, -203, -259?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-6)*(-51)\/(-68). Is -178 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -l - l. Let o = l + -8. Suppose o*h + 2*h = -5*w + 100, -5*w + h + 85 = 0. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 10. Suppose -86 + 261 = a*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) -3 (c) -8.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 2*g**2 - 16*g + 13. Let n be d(-14). Let s = 30323\/9 - n. Calculate the common denominator of 5\/3 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20013\/8 + -2502. Let y = -0.4 + 0.3. Put o, -2, y, 1\/3 in ascending order.\nAnswer: -2, o, y, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dc (base 16) in base 5?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**3 + 5*j**2 - 7*j + 2. Let m(g) = 5*g**3 + 3*g + 2. Let v be m(-1). Let h(k) = -4*k**3 - 2*k**2 + 3*k - 1. Determine v*x(o) - 14*h(o).\nAnswer: 2*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*a - 20 = 0, 0 = 971592*q - 971595*q - 5*a + 64 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 726 and 18.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91243\/235 - 1934\/5. Let v = k - -3\/94. What is the third smallest value in -2, v, -1, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + -5)\/(-3 - 548\/(-182)).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1279*f + 4267. What is the hundreds digit of n(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 10*y**2 + 3*y + (2*y + 3*y + 2*y + (3*y - y - 3*y)*(2 + 0 + 0))*((4 - 2 - 1)*(-4*y + 2*y + y) + y + 0*y + y) to p*y**2 + v + u*y and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 6*m - 51. Suppose 0 = z, m*r - 20*r + 8 = -5*z. Which is the fourth smallest value? (a) -1 (b) -2 (c) r (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*q*x*z**3 + 1254*k*x*z**3 + 7*q*x*z**2 - 64*q*x*z + 2*q*x - z**3 wrt k?\nAnswer: -q*x*z**3 + 1254*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1545 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -132*c + 123. Let r(u) = u + 7. Give -g(o) + 18*r(o).\nAnswer: 150*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-6)*-8*10\/(-160)*12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 8*j - 6. Let z be o(5). Let c(n) = n**3 - 4*n**2 - n - 4. Let q be c(z). Let r(g) = -g**3 - 9*g**2 - 9*g - 11. Calculate r(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(112) - (sqrt(112) + -1)) + sqrt(112).\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584987 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**6\/2340 - 11*o**5\/780 + o**4\/13 + 155*o**3\/3 + 60. Let i(u) be the third derivative of b(u). Factor i(s).\nAnswer: -2*(s - 1)*(s + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:24 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**4\/12 + 5*n**3\/3 + 4*n**2 + 2*n. What is the smallest common multiple of w(10) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r - 24. Calculate b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.88 - 1.78. What is the smallest value in 0.07, 3, u, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + -2715?\nAnswer: -272a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*s + 18739 = 321*s. What are the prime factors of s?\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18688, -37371, -56052, -74731?\n\"Answer: x**2 - 18686*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14*(-420)\/(-30). Is f\/(-28) - 5224\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-1881)*76*(-87)\/(-4)*(-24)\/36.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94874137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1590978?\nAnswer: 1590983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*4075840.\nAnswer: -36682560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*j = -66*j - 36. Find the third derivative of -2 - 2*x**j - 4 - 4 - 211*x**6 + 0 wrt x.\nAnswer: -25320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/(-859716)*167)\/(1\/(-10))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178762754 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 5*n**3\/3 + 2*n**2 - 2*n + 2687. What is v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*u**2 - 110*u**2 - 3*u**3 + 0 - 34*u**2 + 1 to d*u**2 + x*u + y + r*u**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44*(1\/(-2))\/(-1). Suppose 40*b = 41*b + 22. Let p be (-282)\/b + 4\/g. Solve -5*s + 9 = -3*o, -s - 5*o = -0 - p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a milligram in micrograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191173 is divided by 6592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/6665256 and 79\/1538136.\nAnswer: 19995768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/20 + 7*q**4\/4 + 23*q**3\/6 + 31*q**2\/2 - 16*q. Let d be s(-20). Is -30 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001 - 10010?\nAnswer: 11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2427369, -4854794, -7282269, -9709788, -12137345, -14564934, -16992549?\nAnswer: -19420184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -7. Suppose -240 = -8*o + u*o. Calculate the highest common factor of 40 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 6*y + 7. Let f be k(-7). Let s = f + -4. Find the second derivative of v - s*v**4 + 2*v + 12*v**4 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 874 and 20.\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 16*r**2 + 2*r + 10. Let a be f(-16). Let i(q) = -4*q - 2. Let s(x) = -15*x - 7. Calculate a*i(o) + 6*s(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5360 - 5360 + 301*k.\nAnswer: 301*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 + 8.89. Let i = -388 - -747. Let q = 364 - i. Which is the third biggest value? (a) g (b) 2 (c) -2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 13*y**4 + 6*y**3 - 4*y - 94. Let x(w) = 13*w**4 + 7*w**3 - 6*w - 93. Let t(i) = 3*a(i) - 2*x(i). What is the first derivative of t(g) wrt g?\nAnswer: 52*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z = -132. What is the remainder when (-2944)\/(-30) - 1874\/14055 is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/25092 and -77\/16872976?\nAnswer: 151856784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -10, -3, 28, 95, 210, 385, 632?\n\"Answer: 2*p**3 - 6*p**2 - p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*z - 47*z = 5*t + 53, -2*z + 6 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.2. Suppose 6 = 6*d - 12. Suppose d*w = -w + 8. What is the nearest to 0.1 in s, w, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 5*k**2 + 6*k**2 - 4*k**2 - 3*k**2 + 5*k**2 + (k - k - k)*(2 + k - 2) + 60642*k - 106*k**2 - 60642*k.\nAnswer: -106*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164608202 to the nearest integer?\nAnswer: 12830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2444? (a) 12 (b) -3\/5 (c) 5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 398*j**3*o**2 + 1982*j**3*o + 150*j**2*o**3 - 164*j**2 - j*o wrt o?\nAnswer: 796*j**3 + 900*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 124*l**3 + 145*l**2 - 2*l - 2. Let y(v) = 371*v**3 + 434*v**2 - 7*v - 7. Let b(z) = -14*i(z) + 4*y(z). What is the third derivative of b(r) wrt r?\nAnswer: -1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 2:09 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 2. Let k(u) = 2*u - 1. Let q = -144 + 46. Let j be 1*9\/(-6)*(-2884)\/(-42). Let w = j - q. Calculate w*l(i) + 8*k(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33152, -64861, -95130, -123959, -151348?\nAnswer: -177297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -401, -411, -429, -455, -489?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrrrgrgrrr. Give prob of picking 2 g and 2 r.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 0 - -2) + (2 - (26 + -27 + 17))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0248392269 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 342 + -317. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/46600 and -29\/1300.\nAnswer: 605800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-7))\/((-51)\/(-238)). Solve -t - 5 = 2*g, -m*t = -g - 27 + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*2*sqrt(605) + 1))**2.\nAnswer: 176*sqrt(5) + 9684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4064053 rounded to 2 decimal places?\nAnswer: 13.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*((g + 0*g + g)*(-82 + 38 + 38) + g + 0*g - 4*g).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 4*f - 64. Calculate n(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 15 = -4*t - 5, 4*b + 8*t - 12 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5704298, 5704306, 5704326, 5704364, 5704426?\n\"Answer: b**3 + b + 5704296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -130. Suppose 7*d - 15 + s = 0. Suppose -4*r + 3*r = -1. Put r, 4, d in ascending order.\nAnswer: d, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*o**2 + 111477*o - 226*o**2 - 111477*o + 473*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z - 4*u - 1188, 2*z + 3*u = 1167. Let v = -536 + z. Calculate the highest common factor of 156 and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p + 18696*p**2 + 3 - 3*p + 14*p + 2*p.\nAnswer: 18696*p**2 + 26*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 2*u**2 - 4*u)*(-65 - 36*u**2 + 65).\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.4 + 0.0443?\nAnswer: -41.3557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 1 = 2*a, 3*y - 3*a = -y - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 + 11 + -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171)*-3 - sqrt(171))*3) + sqrt(171))**2 + sqrt(171).\nAnswer: 3*sqrt(19) + 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaix when four letters picked without replacement from xxxxaxxixi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -14a38b?\nAnswer: -14a392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37317949*b**2 + 17212574.\nAnswer: -74635898*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 1. Let f(t) = -5*t - 2. Let p(u) = 3*f(u) + 3*h(u). Let v(m) = -4*m - 1. Determine -4*p(q) + 10*v(q).\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 208. Solve 3*i - z = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 + 52 = 2*j. Let r = -130 + j. Calculate the remainder when r is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12415)\/(-191) + -1 + 6?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -16*v**3 + 2*v**2 - 3*v. Let t(q) = 79*q**3 - 11*q**2 + 16*q. What is -11*l(j) - 2*t(j)?\nAnswer: 18*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - j = -9, -2*j = 2 - 0. Let d be 3606\/15 - (-4)\/g. Suppose 3*i = -0*i + d. What is the greatest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16141*i = -4*r - 16139*i, 4*i = -2*r + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r = -913*c + 908*c - 153, 4*r - 42 = 5*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 509 + -482. Suppose -3*j = -4*j + 3. Suppose -29 = -3*z + n, -j*z + 7*n = 4*n - 27. Calculate the remainder when f is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339 - 22*b**2 - 339)*(2 - 3 + 0 + (-1 + 3 + 0)*(2 - 2 - 2) + 1 + 4 - 3 + 1 + 0 + 1 + 2 - 2 - 2).\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 318*y + 1905. Determine a(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -106*p**2 - 1 - 170*p**2 - 47*p**2 + 7 + 17*p**2 - 141*p = 0.\nAnswer: -1\/2, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**3 - 2*r**2 + 2*r - 1. Let x be p(1). Suppose -15 = x*i, 5*m - 2*i = -i + 183. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.234 + 5.594. Let y = -6 + o. What is y rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8079*y + 8081*y - 5*s + 32 = 0, -8*s = -64 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5900853, 11801719, 17702591, 23603469, 29504353?\nAnswer: 35405243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 9 + 15293*o + 1.\nAnswer: 15293*o - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 5*b = -25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2 - 7) + (0 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(8 + -5))\/((-6)\/93). Let u be 5 - 7 - (2 + -116). Let m = f + u. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + 3*(1 + sqrt(6336))) + (sqrt(6336) - (-3 + sqrt(6336) + sqrt(6336) + -5) - (sqrt(6336) + sqrt(6336)*2 + sqrt(6336) + sqrt(6336) + 5))**2.\nAnswer: -432*sqrt(11) + 228141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 518345 or 518342?\nAnswer: 518342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a hour in minutes?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 278, -7\/9, -1\/8, 1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3143 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*a - 2*l - 11, 2*l - 17 = -3*a. Suppose 0 = a*w - 6 - 39. Let k be 8\/5 - (-6)\/w. Solve 0 = k*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 48648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 421*l + 5. Let z be x(-5). Suppose -16*a + 22*a + 18 = 0. Is (a\/4)\/(21\/z) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 398, 613, 840, 1079?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/2 of a day?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -17*p - 9. Suppose -4*f = -4, 15 = 3*t - 3*f - 6. Let h(u) = 6*u + 3. Give t*h(l) + 3*c(l).\nAnswer: -3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y. Suppose -3*m = 3*i - 30, -5*m = -3*i - y*i - 18. Determine p so that -6*p**2 + 7*p**2 - m*p + 4 + p**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 11:28 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2.2. Let y = -16 - -16.3. What is the smallest value in p, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 11.6. Let l = p - 0.6. Let r = 0.4 + -0.2. Which is the second biggest value? (a) r (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -17*q. Let c be w(-3). Find the third derivative of c*i**6 + 56*i**6 + 4284*i**2 - 4461*i**2 wrt i.\nAnswer: 12840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08 less than -10531.448342404?\nAnswer: -10532.528342404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -20. Let f be 6 + k - (-1 + -1). Find x, given that x**f + 4*x**2 - x**2 - 4*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 525*n + 16. Let j be x(-1). Let h = -477 - j. Calculate the remainder when 93 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0 + 27. Suppose -j - 1 = -n, -5*n + t = j - 8. Let o be (-1)\/j*(-3 - -1). Which is smaller: 1\/4 or o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*v + 4*c, -49*v + 46*v = -c + 14. Put 2, -2, v, -1, 0 in ascending order.\nAnswer: v, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-96) - (-14)\/(-12). Is k at most -1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37622561 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17904515*c*w**3 + 5*c*w - 429441*w - 1 wrt w.\nAnswer: -107427090*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/43395 + (-7)\/(-21) + (-4)\/12. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.2 + 10. Let h(m) = -m**2 + 63*m - 734. Let x be h(15). Sort z, 3, x in descending order.\nAnswer: 3, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5722455, 5722451, 5722445, 5722437, 5722427, 5722415, 5722401?\n\"Answer: -r**2 - r + 5722457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 2, 37\/2, 2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2010 and 2818690?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {m: 1, h: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 2cc6?\nAnswer: -2cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 73 + 91 = 2*h, h = -5*l - 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5536.000002708 - -5536. Round h to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 10, -y + 155 = 2*q + q. Suppose -q + 14 = -j + 5*o, 3*j - o = 150. What is the lowest common multiple of j and 33?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7062*t + 114 = 7005*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3435863 + 402?\nAnswer: 3436365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 11*u - u**2 - 19*u - 12. Let q(v) = 4*v**3 + v**2 + 4*v + 13. Let z be q(-2). Let y be i(z). What is y rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 2:11 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyrbdgdr. Give prob of sequence dd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 + 1\/2*r**2 + 0*r = 0. What is r?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9134 = 837*y - 1177*y - 4806 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*n + v, -190*n + 58 = -198*n - 3*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/568550 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -346648*v. Let m(y) = 29*y. Determine m(f(a)).\nAnswer: -10052792*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2675 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1490 and -7348626.\nAnswer: -7347136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17932 - -17934. Let q(v) = -3*v**2 - 4*v + 2. Calculate q(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.503 - 0.286. Let f = -0.073 - j. Let l = f - -0.2883. Round l to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3))**10)**(-3\/28)\/(k**(-7)\/k**(-3\/4))**(-49) assuming k is positive.\nAnswer: k**(-8485\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -28, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (52\/8)\/(3\/(-6)). Let h(v) = -v**3 - 12*v**2 - v - 2. List the prime factors of h(b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1843a3 + -1?\nAnswer: 1843a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 8 = 7*n. Let h = 940 + -935. Which is the biggest value? (a) 0.3 (b) n (c) h (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (23 + (-19 - -29) - 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2819*c - 3673*c - 854 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28601\/(-27055) + (4\/5 - 21\/35)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:40 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = -1. Let s be (6\/q)\/(2\/(-10)). What is the third derivative of -10 - 2*p**s + 4*p**2 + 10 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 111. Let t be c(7). Suppose 0 = 83*m - 75*m - t. Solve -m*w = -11*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14071*m - 13449*m = 4976 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1681137933 + 1756505157.3. Let p = -75367095.29999814 + u. Let o = p - 129. What is o rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 27*y**2 + 964*y - 285. Give a(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + -4 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2 + 180*n + 1738 = 0.\nAnswer: -79, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 6*g**2 - 2*g. Let d be r(-6). Solve j + d = 4*i + i, 0 = i - 2*j - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1098 and -18?\nAnswer: 19764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 71, 141, 235, 353, 495, 661?\n\"Answer: 12*j**2 + 10*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 11*k**2 - 359*k + 1 + 337*k wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, 17, 1\/4, -2\/3, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7cc2 (base 13) to base 15\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*s + 64 = 0, -4*s = -5*r - 8*s + 174. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 3, 21\/4, 5 in descending order.\nAnswer: 21\/4, 5, 3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 6626 = -6626. Suppose 10 + 2 = 3*s. Suppose s*h - 2*w + 48 = y, -4*h = -0*h + 4*w + 36. Sort -1, h, 0 in increasing order.\nAnswer: h, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4047 - -12143\/3. Put 0.4, u, -0.6 in descending order.\nAnswer: u, 0.4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004752359 to seven decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.15463 * 4\nAnswer: -0.61852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2397)\/(-2115) - 2\/15. What is the nearest to -0.04 in -0.1, g, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -14, -23, -32?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.61 - -4.61. Sort 1, -4, 4, g.\nAnswer: g, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1882*v - 1907. Is m(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1332 divide 9740916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 36*c**2 - 141*c + 4013. Determine b(37).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 3. Let g = 3 + -1. Calculate p(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 6 - 11 + 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7629677\/1415 + -5392. Let w = z - -134443\/8490. Let u = -2\/369 - -7015\/738. Find the common denominator of w and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 6*p + 0*p**3 + 0*p**2 + 0 + 19\/12*p**4. Let t(z) = 3*z - 26*z + 9*z + 2*z + 10*z. Calculate n(t(g)).\nAnswer: 76*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2283 is divided by 157?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56121 * -227.\nAnswer: -12739467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3474 and 78?\nAnswer: 45162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1184 + -1180. Solve -15 = -5*f - i, -5*i + 28 = l*f - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31369, -32859, -35311, -38731, -43125, -48499?\nAnswer: -54859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbg when three letters picked without replacement from {v: 2, u: 1, c: 2, b: 1, g: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*r + 2*g - 104, 5*r - 5*g = 320. Let n = r + -50. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*u + 44, -7*u + 2*u = 5*c + 85. Is -8*(7 - 2)*c\/10 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223143401331 - 10?\nAnswer: -223143401341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 13*x - 12. Let m be z(5). Solve -j + m*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6*x - 1 = -x, -5*s - x + 13 = 0. Solve 5*l - 2*t + 10 = 0, -s*l + 2*l - t + 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -99, -240, -471, -816, -1299?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 661.000000574 - 661. What is q rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q + 8. Let n be s(1). Differentiate -28 - 38*x**n + 13 + 3 + 3 wrt x.\nAnswer: -76*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21112200 (base 3) to base 4\nAnswer: -1111323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 26 = -77. What is the highest common divisor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1231 and -4\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f + 157. Let l be c(14). Solve -21 = -l*p + 3*n, -7 = -5*p - 3*n + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228727620 - 62.41?\nAnswer: 228727557.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 6*h - 6. What is l(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6032*h**3 - 22*h**2 + 22*h - 66. Let t(j) = -2010*j**3 + 7*j**2 - 7*j + 21. What is 14*a(f) + 44*t(f)?\nAnswer: -3992*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3300582 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3000\/(-400))\/(6\/2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35401870 to the nearest integer?\nAnswer: 5950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z + 1. Let p be 20\/15 + (-2)\/6. Let l be r(p). Let w(f) = -f**2 - 4*f + 3. Let u be w(l). Solve 2*c - u*a + 0 = -2, -2*a = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2 + -1)*(-88 + 69 + 48)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/13)*u**(-15)*u)**20)**(2\/155) assuming u is positive.\nAnswer: u**(-1424\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w*(w\/(w\/(w\/((w**(-2\/5)*w*w)\/w)*w)))\/w)\/w)**(4\/15)\/((w\/(w\/w**0))\/w)**(1\/6))**(6\/7) assuming w is positive.\nAnswer: w**(121\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.2. Let s = -0.1 - i. Let l = -0.7 + -0.3. Which is the nearest to l? (a) 3 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2985 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 165 - 320. Let m(s) = 3*s**2 - 4*s + 1. Calculate the remainder when a is divided by m(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88832?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5682.\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(2 + 0 - 3)*(28*r**4 + r**4 + 3*r**4)*(-3 + 0 + 1)*(-3 + 0 + 0).\nAnswer: 384*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -1\/4, -1\/9, -3\/7, 4\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/5 + 276*r**3\/5 - 3198*r**2\/5 + 11824*r\/5 - 14304\/5 = 0. What is r?\nAnswer: -149, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkhkkylllyhhh. Give prob of picking 1 h and 1 k.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.38 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737082 is divided by 347.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-1)\/(-2 - -3). Differentiate -27*o + y + o**3 + 27*o with respect to o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84 or -4\/4019?\nAnswer: -4\/4019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -473*i**4 - 47*i + 1281*i**4 + 1725*i**4 + 11*i**2 + 150*i**4 wrt i.\nAnswer: 64392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 2. Suppose v = -2*y - 19, q*v - 3*y = -4*y - 23. Let g be 2 + 1*2\/(-2). Sort v, 2, g in descending order.\nAnswer: 2, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 + (-52)\/(-20). Suppose 0*o - c*o = -33. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1976184 divided by 282312.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 15*i + 3. Let h(g) = 5*g - 12. Let m be h(4). Determine w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/8, -0.3, -4.\nAnswer: -4, -0.3, 9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - 3*t**3 + t**3 + (5*t**3 - 2*t**3 - 4*t**3)*(-1 + 5 - 3) + (-159 + 86 + 45)*(3 - 3 - t**3).\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4\/4 + 2*g**3\/3 + g**2\/2 + 1. Let a be -1 - 0*11\/(-154). What is z(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 6*m - m**2)*(16 - 21 + 4*m + 17).\nAnswer: -4*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + ((-9)\/(-21) - 56\/(-98)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 4*r. Are r and 2\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 93*d + 1305. Let l be a(-69). Sort -2, -5, l in decreasing order.\nAnswer: -2, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnhq when four letters picked without replacement from {b: 1, o: 2, h: 1, n: 3, q: 1, t: 3}.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -0*y + 3*y. What is m in 0 + y*m**2 + 1\/4*m - 1\/4*m**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 + (-16)\/(-7). Suppose 7*v - 2*v - 25 = 0. Sort u, -4, v in increasing order.\nAnswer: -4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35, -151, -357, -665, -1087, -1635, -2321?\n\"Answer: -2*y**3 - 33*y**2 - 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppkk when four letters picked without replacement from {p: 2, s: 5, w: 1, k: 8}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7498 + -1.1498. Sort i, 1035, -5 in descending order.\nAnswer: 1035, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760 divided by 4?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 96688, 193350, 290012, 386674?\n\"Answer: 96662*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652, -673, -694?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 45*n**2. Let y(x) = -14*x. Let r(z) = -8*z. Let f(p) = 5*r(p) - 3*y(p). Give q(f(c)).\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13250 + 21529. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46090, -46374, -46658, -46942?\nAnswer: -47226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from occoiocjjjcocojcoc. What is prob of picking 3 o and 1 c?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 864590, 864589, 864588, 864587, 864586?\n\"Answer: -h + 864591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3) + sqrt(12)) - sqrt(30)\/sqrt(96) - sqrt(15)\/(-1*sqrt(3))*-1)**2.\nAnswer: 605\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in -2\/15, -10, -0.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -34. Let r = l - -14. Solve -y + 6 = -2*y + i, 2*y - r*i = -16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8980 + 8678 + 720*u - 3*u**2 - 720*u - 17658.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 948.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t + 166 = -304 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/454 or 1?\nAnswer: 1\/454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -579027*k**3 - 593*k**2 + k - 9?\nAnswer: -3474162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26658294*j**2 - 53316764*j**2 + 26658475*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3261\/363748?\nAnswer: 3261\/363748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011011001111 + 111?\nAnswer: 1110011011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1129 + -27097\/24. Let z = -0.03 + 0.43. Which is the smallest value? (a) o (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288145 and 35464.\nAnswer: 2305160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*q + 826 + 803 - 1628)*(-4 + 4 - 2).\nAnswer: 300*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 932 divided by -3.\nAnswer: -932\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2300 - -2304. Let p(d) be the third derivative of 0 + 1\/40*d**6 + 0*d**5 + 0*d**f - 13\/6*d**3 + 0*d - 13*d**2. What is the 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 3191372355?\nAnswer: 3, 5, 212758157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33766567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of (-15)\/7*(-927458)\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 20*s**2 + s - 1. Let l be h(1). Let f(m) = m**2 - 28*m + 122. Let d be f(5). Solve -u + 2*x = d*x - l, -3*u + x = -12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3809 - -7662. Suppose 4*u - 3*m - f = -u, -4*m + 9164 = 4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11428*q**3 + 3*q**2 + 15*q - 2555. Let w(r) = -3*r**3 + r**2 + 5*r + 3. Let d(g) = l(g) - 3*w(g). Differentiate d(s) wrt s.\nAnswer: -34257*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191085478, 382170954, 573256430, 764341906, 955427382?\nAnswer: 1146512858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 149.8183 millennia?\nAnswer: 14981.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/7 (b) -0.3 (c) -1965.5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**2 + 95*z**3 + 5 - 4 + 35*z**3 + 559*z**3 - 14*z**3.\nAnswer: 675*z**3 - 21*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.19 not equal to -463078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-2)\/(-30))*2. Let h(u) be the first derivative of -l*u**3 - 3\/20*u**4 + 1 + 1\/10*u**2 + 0*u. Factor h(c).\nAnswer: -c*(c + 1)*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 315 = -3*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 44970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -8*v - 4*z + 20, 3*v = 5*z - 23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-28))**18 assuming i is positive.\nAnswer: i**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100924892.8 + -0.428.\nAnswer: 100924892.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 + 209.3. What is the fourth smallest value in 1\/4, -1, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/60 and 2*-4 - (-17679)\/2485.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -10 - -4)\/(12\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104559626, 104559627, 104559628, 104559629?\nAnswer: 104559630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -5*w + 14*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13968 or -0.2109?\nAnswer: -0.2109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409956223 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55821 and 3312.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -2 (c) -1 (d) 351 (e) 5 (f) -1\/2 (g) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -270309502*l**5 + 101552*l + 625?\nAnswer: -5406190040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifiiffnffz. What is prob of sequence ii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15104\/8283 + -4\/753. Let m = 218 + -581. Let j = m + 364. Is f <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35083 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -667083 divided by 5\nAnswer: -667083\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 7*j**2 + 3*j + 4. Let z be y(-6). Let v = -18 + z. Solve -12 = -0*l - v*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9353 and 1269?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 8*i - i - 3078. Calculate the remainder when i is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*l = -5*y + 8, 4*y - l - 6 = 0. Suppose c = y*c + 5*g - 33, 5*g = -3*c + 109. Suppose 4*o - c = 10. What is o rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*p - 827 = -84*p - 5299 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*c + 34, z - 10*c = -14*c - 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214348.\nAnswer: 2, 41, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = j - 10. Suppose -5*i = 20, -i - 41 = 5*w - 142. What is the remainder when w is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 13. What is p(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/7)\/(n\/n**(5\/7)*n))**(2\/9)\/((n\/(n*n**1*n))**(-2\/9)*(n**1)**(-37)) assuming n is positive.\nAnswer: n**(253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1346 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44504.0853 - 44506. What is q rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 32340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 350731*b**4 - 52*b**2 - 5*b - 50639 wrt b.\nAnswer: 4208772*b**2 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 206 = n, 4*n + 86 + 14 = 2*m. What is the highest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -14\/3*g**3 - 2*g**4 - 2*g**2 + 2*g - 4. Determine b, given that m(b) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 69 - 282 = 0. Suppose 9*a - 15 = l. Solve 2*o + 2*m - 22 = a*m, -m - 1 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250796 minus -8?\nAnswer: 250804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lndlpnhlnllh. Give prob of picking 1 h and 1 l.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2923*j*s*t + 7*j*s + 9630*j*t + j + t wrt s?\nAnswer: 2923*j*t + 7*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 5 - 1 + 2*y - 2. Let u be f(-2). Let m be (-21)\/70 + 6\/10. Which is bigger: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:48 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -86*k**3 + 2*k**2 - 3*k + 1. List the prime factors of v(-2).\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*k - 41892 = -11328 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527771383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21670942*n**5 - 218*n**2 - 69*n + 95.\nAnswer: 1300256520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(1872) + -6*sqrt(1872)*1)**2.\nAnswer: 480*sqrt(13) + 46816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 - 20250*f + 30*f**2 + 20226*f + 4*f**3 + 24*f**2 to m*f + n*f**3 + g*f**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 + 132. Suppose j*t + 2 = 0, -2*t - t - 3 = -2*b. Solve -o = -b*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71374 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -159, 23, -0.4, 71\/6?\nAnswer: 71\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 95*d - 12 + 76*d + 21*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -134*x - 2511 + 7679 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + b - 29 = 0, -3*q + 40 = q + 5*b. Suppose 4*u - 5 - 32 = q*v, 2*u - 5*v - 31 = 0. Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*h - 107325 = -480*h - 692*h for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2\/31 (b) 1\/4 (c) 2\/9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 4540?\nAnswer: -5000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110304393 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + s = 8, -4*k + 5*s + 2 = 3*s. Suppose y - 4 = 0, 9 = f + k*y - 4. Let j = f + 3. Solve 3*i - j = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1676 = -629*k - 271 + 627 + 1113 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 563*k - 564*k - 3, -5*k + 21 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125.15746 - 0.24746. Let p = -10.96 - 113.04. Let u = o + p. Round u to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {q: 3, c: 1, o: 1, e: 3, n: 2, z: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g - 4*f + 3114 = -24*g + 3244, 2*g - 5*f + 37 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4076064 by 452896.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41082 or 369746\/9?\nAnswer: 369746\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44936*u**3 - 10830*u**3 + 5*u**2 - 5*u**2.\nAnswer: 34106*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2883366*l**2*v**3 + 2*l**2*v**2 + 3495*l**2 - 28*l*v**3 - 2*l*v + 16*l + 26*v**2 wrt v?\nAnswer: 17300196*l**2 - 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12854178 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 11) to base 13\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217525353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018418 (base 9) in base 7?\nAnswer: 16442204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/975 and -35\/3?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 17*d - 7 + 42 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31906\/13 or -2453?\nAnswer: -31906\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 11:14 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:56 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29881, 119833, 269753, 479641, 749497?\n\"Answer: 29984*u**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 53 = -2033*o + 2031*o, 0 = o - 2*l - 35 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68720871 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) -0.5 (b) 2\/3 (c) -8\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-6)\/(-30))\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1441 (base 15) to base 8.\nAnswer: -10360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from kfffofhhk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21880 and 4780.\nAnswer: 5229320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 10:29 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120776464*d*l**3 + 2*d*l**2 + 2*d - 29*l**2 + 6120 wrt l.\nAnswer: 724658784*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/165*(-3)\/((3813\/155)\/41)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 423, 634?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1140930 divided by 3\nAnswer: -380310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juvzlsu. Give prob of picking 1 s and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2 + 4272*m - 1520832 = 0.\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 3*b + b**3 + b - 2*b + 1 - b. Let i(k) = -6*k**3 + 19*k**2 + 11*k - 6. Let h(d) = i(d) + 5*s(d). Is h(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 46807?\nAnswer: 5\/46807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 9140 + 592 = 0. Is 2\/4*x - -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90, 488, 1154, 2088, 3290, 4760?\n\"Answer: 134*n**2 - 4*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -72, 12 in descending order.\nAnswer: 12, 4, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 6*o + 3. Let g = -7 + 14. Let r be -6 + 5 - (g + 0). Let z be (3\/(-2))\/(6\/r). Give a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2. Let q(r) = 6*r**2 + 4*r + 4. Let o(x) = -5*x**2 - 3*x - 3. Let g(h) = 4*o(h) + 3*q(h). Give g(i(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = d + 99, 9*d - 139 = -4*v + 8*d. Suppose -135 = -39*r + v*r. Calculate the remainder when r is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + -3 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*i = -61*i - 32622724. Suppose -o + 0*o = 4, 4*o = -u - i. Let q = -2811346 - u. What is q rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 107*r - 230. Suppose -c + 2*c = 46. Suppose -a = a - c. What is the remainder when t(3) is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, -9 in decreasing order.\nAnswer: 12, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) + sqrt(1620)*1)*5)\/(-6*2*2*sqrt(10)).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*y - 1)*(483 - 273 - 237) in the form f*y + i and give f.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + -10 + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6792 and -0.2.\nAnswer: 1358.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 2, l: 4, j: 3}. What is prob of sequence jvj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1415, 5615, 12597, 22361, 34907, 50235, 68345?\nAnswer: 89237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.6377353 rounded to 1 dp?\nAnswer: 592.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, a: 6, b: 4}. What is prob of sequence bby?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.06 - 0.06. Let p(s) = 4*s - 2. Let l(m) = -m. Let w(k) = 3*l(k) + p(k). Let d be w(2). What is the second smallest value in i, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/360 and -151\/396.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/7, 2\/15, 22\/3, 1\/65?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (90\/(-35))\/((-9)\/7497)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 35042?\nAnswer: -4\/17521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.21 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 6 (c) -386\/5 (d) 1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (3 - 1) + 4. Suppose -w*k = -3*k. Suppose r - 2*i - 72 = 2*i, -5*r + 2*i + 270 = k. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14228 + 14231. Let y = -2.4 - -2.7. Let k = -0.03 - 4.97. Which is the nearest to t? (a) y (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3225396*m**2. Let a(s) = 102*s. Calculate q(a(c)).\nAnswer: -33557019984*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6635056 from 335.\nAnswer: -6634721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 9:27 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.0578.\nAnswer: -0.01734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 277930 = -3*o - 889607, 0 = -4*o + 20. Suppose p = 8*m - 129637. What is m rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2452, 0.044, -0.4, -4\/3, -1?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 70 = 4*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2\/(4\/(-2))). Suppose j*c + 2*c = -c. Suppose 2*i - 2626 = 2*u + 988, -i + 2*u + 1804 = c. What is i rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*h + 2*v + 3, 0 = -h + 5*v - 24. Let b(a) = 1 - 2 + h - 1. Let q(f) = -2*f**2 + 14. Let r(t) = -70*b(t) - 5*q(t). Let x(m) = -m. What is r(x(j))?\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 + 0.23. Let y = 57503\/3 + -19167. Which is the closest to -1\/3? (a) n (b) y (c) 2\/13 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from cdoabob.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 1\/3, 43, 0.3, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -649? (a) -2\/45 (b) 2 (c) -1 (d) -0.4 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f**3 + 45*f**2 - 545 + 5*f**4 + 545 = 0 for f.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -806*d + 42. Let r(s) = 2825837*s - 147238. Let f(v) = 6*r(v) + 21034*y(v). Let k(z) = -z**2. What is k(f(m))?\nAnswer: -2617924*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -2, -8.\nAnswer: -8, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16982 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38204 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:36 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174671, -174627, -174517, -174311, -173979, -173491, -172817, -171927?\nAnswer: -170791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s - 4. Let y be f(3). Suppose -2*d + 6 = 5*m - d, 0 = -2*m + d + y. Does 9 divide ((-30)\/(-20))\/(m\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -26. Suppose 6*o = 12*o - z. Suppose -o*a - 3*h - h = 108, 0 = -4*h - 8. Which is greater: a or -21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -295911*y. Let d(w) = -1644*w. Give 539*d(f) - 3*u(f).\nAnswer: 1617*f","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxx when three letters picked without replacement from {x: 9, u: 2, z: 2}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 12:08 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-60)\/(-63))\/(14\/(-12)). Which is the fourth biggest value? (a) 4 (b) v (c) -5\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.786 smaller than -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r. Suppose -5*a - c + 157 = -0*c, 2*c - 4 = r. Calculate the least common multiple of a and 2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21299.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 73*q**3 + 993*q**2 + 2. Let w(b) = b**3 + 9*b**2 + 1. Let g(j) = -o(j) + 2*w(j). Find the third derivative of g(f) wrt f.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 26*s**4 - 5*s - 24*s**4 - 4*s + 18*s**2 wrt s.\nAnswer: 24*s**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 602, 1153, 1670, 2141, 2554, 2897?\nAnswer: 3158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 - 2*f**2 - f. Let w(c) = -c + 12. What is the smallest common multiple of s(-1) and w(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*g - 16, -2*z - 19*g + 8 = -21*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2784978 divided by 132618?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-3 - 8) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -35) + 2 + (0 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -53*i + 13. Let f(x) be the first derivative of -9*x**2 + 4*x - 3. Let g(a) = 11*f(a) - 4*m(a). What are the prime factors of g(3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 3 = -16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3*o - 17 - 6 - 4.\nAnswer: 3*o - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.128 - -0.530591877.\nAnswer: 0.402591877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27909 - -46.76591827?\nAnswer: -27862.23408173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 59*g**2 + g + 2. Let d(u) = u**3 - 9*u**2 + 6*u - 49. Let x be d(9). Is o(x) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11 + 7*h + 6*h - 36 - 7*h. Let o be n(9). Solve 2*l - o*l = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/60 + 22*j**3\/5 - 2178*j**2\/5 + 362*j. Factor z(a).\nAnswer: -(a - 66)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)*(-4)\/8. Suppose c = -7*x + 4*x + 759. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s + 9*s + 9*s as m*s + t and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13688, -27290, -40918, -54584, -68300, -82078, -95930?\n\"Answer: -2*i**3 - i**2 - 13585*i - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25145 divided by -1698?\nAnswer: -25145\/1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44a1 (base 12) to base 7.\nAnswer: 31120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*n - 357*n + 110*n + 1932 = 98*n. Factor -40\/9*b + 16\/9*b**n + 4\/3 - 4*b**2.\nAnswer: 4*(b - 3)*(b + 1)*(4*b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 10933.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -645 + 983. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-10)))**(-1\/38)\/(m**(4\/3))**(-34) assuming m is positive.\nAnswer: m**(2599\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (sqrt(13)*2)**2 + (sqrt(1300)*2)**2.\nAnswer: 5248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 12 + 6)*(-4 + 16 - 2)*(3*m - 2*m + m - 1).\nAnswer: 200*m - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = 2*d, 4*o + 4*d - 11 = 5*d. Solve -o*z - 3 = -7*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 5395.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i + 29*i**3 + 1134*i**2 - 1134*i**2 as l*i**3 + u*i**2 + c + a*i and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**3 - 4*d**2 - 5*d - 4. Let s(z) = -z**3 - z**2 - z - 1. Let w be (-6)\/4*(-24)\/9. Let t(i) = w*s(i) - v(i). What is t(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 9. Let b(z) = -7*z**3 + z. Suppose -j - 3*j = -4. Let m be b(j). Let t be p(m). Solve -h - t = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121681*c - 8 + 8 + 121675*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.4902ml in litres?\nAnswer: 0.7544902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*g - 103 + 635 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-374)\/(-2040)*15*(-2)\/(-1)*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 0*w**2 - 2*w**2 + 3 + 2*w**2 + w**2. Let a be f(-2). Solve 0 = -z - 1 + a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559 - 719 = -2*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 11*l**3 + 8*l**3 + 5*l**3 as i*l + k*l**3 + s*l**2 + p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 0. Suppose -u*v = v. Let d(y) = y + 1. What is the units digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*r - 71 + 71)*(2*r**3 + 0*r + 0*r) + (5*r - 6*r + 2*r)*(-r**3 - 2 + 2) to b*r + k*r**3 + x + l*r**4 + a*r**2 and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a937 (base 12) to base 4.\nAnswer: 231002323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.01, 3, -2\/105, -2, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*d**2\/5 - 159380*d + 177088\/5.\nAnswer: 2*(d - 44272)*(9*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1040490.42 and -12.4856.\nAnswer: 1040477.9344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoojoqjhooojdodqojjd. What is prob of picking 1 d and 1 j?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 796 divide 515017390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1887.104 and -0.3.\nAnswer: -1887.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 7*i**2 - 2*i + 8. Let v be j(6). Let n = 23 + -41. Let r = v + n. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2116*c - 2112*c + 3*l + 190 = 0, -128 = 2*c + 2*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/((s\/(s\/(s*s**6\/s)))\/s))**(-1\/9) assuming s is positive.\nAnswer: s**(29\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1263 + -803. Suppose 3*h - g = 166 - 50, -4*h + g = -156. What is the greatest common divisor of u and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -7. Let k = 35052\/5 + -7003. Calculate the common denominator of k and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - h - 9*h**2 - 10*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*f + 13 = 0, 5*f = 5*v + 3*f - 10. Let y(a) = -v*a**2 - 5 - 2 + 5 + 3*a. Let c(b) = -5 + 0*b + 0 - 9*b**2 + 5*b + 2*b. What is 3*c(p) - 7*y(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 - 4*c**2 + 6*c + 11. Let a(k) = -7*k**3 + 9*k**2 - 13*k - 23. What is 4*a(y) + 9*i(y)?\nAnswer: -y**3 + 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16 (b) -5 (c) 4 (d) 2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/4 - 3*o**3 - 5*o**2 - 4*o - 2. Let a be b(-8). Solve -4*p - 4*v - 2 - 14 = 0, -a = 3*p - 3*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676361246.\nAnswer: 2, 11, 101, 304393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.38225 + -0.11775. What is the smallest value in -2\/11, 0, m, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4814 - 4861 = 3*o, 5*x = 4*o + 51 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 * -529440\nAnswer: -259425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 20. Let y = u - -24. Suppose i - 8 + 6 = 0. What is the greatest common factor of y and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**3 + 910*x**2 - 1835*x + 920 = 0.\nAnswer: -184, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/15 - 14*r**2. Let q(u) = -12*u**2. Let h(a) = 16*c(a) - 5*q(a). Let g(p) = 14*p. Give g(h(x)).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, z: 3}. Give prob of picking 2 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(19) + sqrt(19))*5 + -3)**2*-2 - ((0 + sqrt(1216) + 0)**2 + 4 + -5).\nAnswer: 80*sqrt(19) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9357865*z**3 + 5540365*z wrt z?\nAnswer: -56147190*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*((-26)\/117)\/((-2)\/25674)?\nAnswer: 2, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29\/16 (b) 440 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -3. Let s = 218 - 196. Suppose 0 = s*d - 36*d. Solve -3*f + d*f + h = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -786131*v. Let y(u) = 3*u. Determine y(p(g)).\nAnswer: -2358393*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5398 is divided by 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, -1\/6, 9, 10, -6, 543 in decreasing order.\nAnswer: 543, 10, 9, -1\/6, -0.4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 + (1 - 3) - (42 - 36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.3 (b) -40 (c) -2\/15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3576047 minus 0.283?\nAnswer: -3576047.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*z - 1, 5*z - 2*q + 12 = -13. Is z + 1854\/12*12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 - 79*i**2\/3 + 4118*i\/3 - 23548.\nAnswer: (i - 58)**2*(i - 42)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -18*t + 41 + 5. Let k(c) = 21 - 7*c - 11*c + 2*c. Let q be 90\/8 + (-2)\/8. Let m(y) = 3*y - 4. Calculate q*m(h) + t*k(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/3 + 57364*x\/3 + 57362\/3 = 0. What is x?\nAnswer: -28681, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w**2 - 2*w - 2. Let y(z) = 19*z**2 - 12*z - 3. Let h(m) = 2*m**2 - 3*m. Let s(u) = -3*h(u) + y(u). Calculate 3*q(r) - 2*s(r).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8497357 + 2*g - 16994716 + 8497359 - 21*g**3.\nAnswer: -21*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 - 72. What is the least common multiple of m and 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001010111 (base 2) to base 12\nAnswer: -1647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 54 = -186. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 716891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 19067585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*z - 6 = g, -4*g + 16 = 2*z. Solve -3 = -0*j + 3*j + h, -g*h - 3 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2929, -5896, -8887, -11902, -14941, -18004?\nAnswer: -21091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - -1.1. Let v = -0.14 - y. Which is the second smallest value? (a) 2 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/10)\/((k\/k**32)\/k)*(((k*k**(-32)*k*k)\/k*k)\/k*k*k)**16 assuming k is positive.\nAnswer: k**(-4161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000061611552 to seven decimal places.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17091.31 rounded to the nearest 100?\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 488 = 51. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*43\/774)\/(117\/(-27)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + 28)\/(1 - (-14)\/(-13))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16729 is divided by 434.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -35. Let v = 9 + z. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2319 + 0.029763?\nAnswer: -0.202137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-425))\/(9\/6)*14\/21*45.\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {v: 1, t: 2, u: 2, q: 2, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*l**5 - 6*l**4 - 56794*l**3 - 96974*l**2 + 27*l + 18?\nAnswer: -780*l**2 - 144*l - 340764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -1\/6*n**3 + 0 - 4*n + 9\/2*n**2. Let d be k(8). Solve d = p + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*t = -5*h - 304, -h = 5*t + 67. Let a = 293 + h. Let z = -129 + a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1977 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 22*u + 3*u - 24. Suppose 2*p = -p. Suppose x + y = -0*y, -5*y - 15 = p. Solve g - u*g + x = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 18\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 856817*0.4.\nAnswer: 342726.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.184 + 2.184. What is the fourth biggest value in 2\/15, l, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:05 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - 12.12. Let l = -2.5 + -9.9. Let u = l - g. Which is the second biggest value? (a) 0.1 (b) 2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172133 - 172133 + j - 13*j**3.\nAnswer: -13*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgeem. Give prob of sequence me.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23.2, 5, 0.5, -0.1?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 153625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0 - 20. Let q = 52 + -51. Let d be (q - 3) + (-9)\/(45\/(-20)). Solve 2*v + l = -d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -4*s, -5*c = -2*c + 2*s - 26. Let y(f) = -f + 8. Let o be y(0). Solve c*q = 3*g + 2*q + 6, -5*q = 4*g + o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109252790 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/90)\/(39\/(-65))*((-374)\/(-51))\/(-11)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 688 + -115. What are the prime factors of n?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198874726.\nAnswer: 2, 157, 633359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 104, 41, -8, -37, -40, -11?\n\"Answer: i**3 + i**2 - 73*i + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5\/11 + 26*z**4 + 5396*z**3\/11 + 6808*z**2\/11 - 227248*z\/11 + 34496 = 0.\nAnswer: -121, -14, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3671 + 9332 + 7977 - 3489 + r.\nAnswer: r + 17491","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q - 2417 = -2978 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 299*n**3 - 4*n + 8 + 684*n**3 - 387*n**3 + 4*n.\nAnswer: -2*n**3 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2624 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 504 = -19*t. Let w = -22 - -92. Calculate the remainder when w is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 47499991 = -5*k + 4*y, -28500006 = 3*k + 2*y. What is k rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261a6 (base 11) to base 10\nAnswer: -37505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 565*d**2 + 2930*d - 2360.\nAnswer: -5*(d - 4)*(d - 1)*(d + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 308*z - 217304 - 694068. List the prime factors of z.\nAnswer: 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 - 128*c**4 + 3*c**3 - 4*c**2 + 480*c.\nAnswer: -60*c**2 - 3072*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 372 - 148*o - 684 + 318.\nAnswer: 3*o**3 - 148*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y\/(y*y**(1\/7)\/y)*y))\/y*y)\/(y**(-9\/7)*y*y))\/(y**(5\/4)*y**(3\/5)\/y))**23)**(2\/19) assuming y is positive.\nAnswer: y**(-7797\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12956 - 13436 = -10*l. Calculate the least common multiple of (-9)\/(-36) + (-2)\/((-8)\/351) and l.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.66002 milliseconds in hours?\nAnswer: 0.00018629445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 3*g + 5583 = -4*h, 4*h + 6*g = 7446. Calculate the smallest common multiple of 8 and h.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4 = -4*z, -199*n - 5*z - 8 = -198*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167367?\nAnswer: 31, 37657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 45, 75, 111, 153?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 1 - (2 - 4). Solve n - 3 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/171061?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, -142, -557, -1350, -2647, -4574, -7257?\n\"Answer: -21*a**3 - 16*a + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020095 rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/4 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 25*u**2 + 23*u + 43. Calculate f(26).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 6. Let f(q) = -7*q + 37. Let p(a) = -6*f(a) - 39*j(a). Let s = -3935 - -3941. Calculate the remainder when 57 is divided by p(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 6779283.\nAnswer: 74572113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*q = -483*q + 233*q - 120 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32095\/2 + -16048. Put 1\/153, -1, o, 4 in increasing order.\nAnswer: -1, o, 1\/153, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 9) to base 6\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -58. Let a = n - 18. Suppose 4*x - a*x = 4. Solve -g = x*y + 14, -2*y = -4*g - 3*y + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7 + 1. Suppose f + c*w - 10 = 0, -2*w = -f - 3 - 3. Find the first derivative of -3*o**3 - f*o**3 + 4 - 3 wrt o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - 8 = 0. Determine p so that 9 - 9 + p + 2*p - p - p**k = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5 = 3*m - 21, 103*m - 22 = 100*m - v for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:16 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9467030213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + 128\/(-24) - 14\/3. Let h be 10\/r*(-16)\/(-10) + 7600004. Round h to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 5*w - 2. Let r = 8 + -4. Determine y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/9 + 14*d\/9 - 16\/3.\nAnswer: -(d - 8)*(d - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**32\/(((q\/q**(-4\/9))\/q)\/q**(-2\/3)) assuming q is positive.\nAnswer: q**(-586\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16631925 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 225729 divided by 7?\nAnswer: 32247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let c be q(-1). Let f(v) = 11*v + 1. Calculate f(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000374214553 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -259\/2092298?\nAnswer: -259\/2092298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.81, 64, -0.5, 8\/9 in decreasing order.\nAnswer: 64, 5.81, 8\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 + (1 - 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 176*t**2. Let h(j) = -780296*j**2. Determine s(h(b)).\nAnswer: 107159685180416*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17511, 34997, 52481, 69963, 87443, 104921, 122397?\nAnswer: 139871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + x + 3)*((-x - 2*x + 0*x)*(6 - 2 - 2) - 3*x + 2*x - x) - 2*x - x**2 + 2*x + 7*x + 2 + 6*x + 4733022*x**2 - 4733025*x**2.\nAnswer: -12*x**2 + 13*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -14*d - 42. Let w(r) = -150*r**2 + 7 + 151*r**2 + r + r. What is the tens digit of w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -10)\/(1*(-1 + 2)). Suppose 12*t - 158 + 14 = y. Solve 0 = -2*h - 2 + t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9963 and 11726.\nAnswer: 2849418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/7, 8, 2\/11, -1\/7 in descending order.\nAnswer: 8, 2\/11, -1\/7, -24\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {b: 1, x: 1, f: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/2275 - -1441\/650. What is the common denominator of o and (68\/238)\/(9\/7) + (22730\/6300 - 4)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 11. Let p be d(14). Let m(b) = -10*b**p - b - 3*b**2 - 2*b**2 + 3*b**2. What are the prime factors of m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56045911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 33*n**3 - 17*n**2 - 50*n. Let h(d) = -2*d**3 + 3*d**2 + d. Let p(r) = -17*h(r) - k(r). What is l in p(l) = 0?\nAnswer: 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -39 + -17 + -4 - (-2 + -7).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3*t**2 + 2*t**2)*(2*t + t - 4*t) - 4*t**2 - 3*t**3 + 4*t**2.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-9)\/(27\/(-15)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*a - 85*a = -221. Suppose -74 + a = 7*k. Suppose -5*o - 24 + 69 = b, -5*b + 267 = 4*o. Calculate the remainder when b is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.121+13213177\nAnswer: 13213177.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 781 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -2 + 1\/24*y**4 + 1\/2*y**2 + 0*y + 0*y**3. Let c(l) be the second derivative of v(l). Determine c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v - 46. Let b be o(8). Round b to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**4 - 3 + 3 - c + 76*c**3 - 75*c**3 + c**2. Let i(w) = -6*w**4 - 3*w**3 + 6*w**2 + 3*w. Let q(f) = i(f) + 6*o(f). Factor q(p).\nAnswer: -3*p*(p - 1)*(p + 1)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1314 and 33\/1460.\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-231))\/(24\/(-56))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -723, -694, -645, -570, -463, -318, -129, 110?\n\"Answer: z**3 + 4*z**2 + 10*z - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/(13\/(-39)) + 5. Let w be y\/((-216)\/45 - -5). Solve -6 = w*z - 4*x, -z - z + 3*x = 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0948203792 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 17. Suppose -2*x + 17 = -3*x - k, j = 5*x - 5*k + 85. Is x at most -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -276*y + 4014 + 2948 + 1196 - 1258 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3348 and 47\/682.\nAnswer: 36828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023567487 to five dps.\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 253 - 253.3. Which is the closest to w? (a) 1\/5 (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -8 - -7 - (3 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 4:47 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}